The equations of three lines are given below.
Line 1: y= 3x +8
Line 2: y=3x-3
Line 3: 6x - 2y= -8
For each pair of lines, determine whether they are parallel, perpendicular, or neither.

Answers

Answer 1

they are all parallel

they all have the same slope of three


Related Questions

Simisola wants to compare the time take
to make yoghurt at different temperature
List the variables she should control.

Answers

Yogurt production is affected by the production technological conditions.

What is yoghurt different temperature?Yogurt production is affected by the production technological conditions. Increase in the incubation temperature (42-45ᵒC) resulted to increase in the coagulation of the milk protein present (induced by thermophilic bacteria) and viscosity. This also resulted in increased acidity of the yoghurt.The temperature must be 108°F to 112°F for yogurt bacteria to grow properly. Too high a temperature inactivates bacteria; too low a temperature prohibits growth. Inhibitor substances such as detergent from dishes. Wash and rinse dishes well before making yogurt.Making yogurt at home is a fairly straight-forward process. Heat milk to 180F (82C), cool that milk to at least 110F (43C), add live cultures, usually in the form of yogurt with said cultures, incubate, then chill.There are several variables in the process, some of which are: The fat content of the milk (I typically use whole), how long to hold the milk during the initial heat step, how long it takes to cool the milk, the temperature of the incubation step, and the length of time for incubation, to name a few.

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Please help will mark Brainly

Answers

Answer: The solution to the system of equations is (1/3,-4/3).

Step-by-step explanation: Yes

Answer is ( -1, 4)

Step by step

Using the substitution method

y = -4x
3x + y = 1

Substitute value of y = -4x into 3x + y = 1

3x + (-4x) = 1
Simplify

-1x = 1
Divide both sides by -1

-1/-1 x = 1/-1

x = -1

Now substitute value of x = -1 into either equation to solve for y

y = -4x

y = -4 (-1)
Multiply

y = 4

You have a pipe where the last 9/16 of an inch is threaded. Due to error, you need to trim of 4/32" off the threaded part. How long will the threaded section be? A. 17/32, Bl 7/8, C. 7/16 D. 15/32

Answers

The length of 9/16 of an inch threaded section of the pipe indicates that the new length of the threaded section after 4/32 of an inch is trimmed off obtained by the difference between the fractions is; C. 7/16 of an inch

What is a fraction?

A fraction is the representation of only a part of a whole of an item in the form of a quotient, consisting of a numerator, being divided by a denominator.

The length of the threaded section of the pipe = 9/16 of an inch

The length of the threaded part trimmed off due to an error = 4/32 of an inch

The new length of the threaded section following the trimming off of 4/32 is therefore;

New length of the threaded section = 9/16 - 4/32

The value of the difference between the fractions is found as follows;

[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{2 \times 9 - 4}{32} = \dfrac{14}{32}[/tex]

[tex]\dfrac{14}{32}=\dfrac{7}{16}[/tex]

Therefore;

[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{7}{16}[/tex]

The new length of the threaded section will be 9/16 - 4/32 = 7/16

The correct option that indicates the new length of the threaded section is C. 7/16

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29. What is length of x?

Please explain this one too me since I did not understand it thanks

Answers

The value of x is 10 yards. The given shape is a trapezoid.

What are trigonometry ratios?

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Draw a line parallel to the base.

Name the corner point of the shape.

Assume that ∠ADG = θ.

Consider △BDF:

BD = 6 + x

DF = 8 + 4.8 = 12.8 yrds.

The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.

cos θ = DF/BD

cos θ = 12.8 /(6+x)  .....(i)

Consider △CDE:

cos θ = DE/CD

cos θ = 8/x  .....(ii)

Now equate equations (i) and (ii):

12.8 /(6+x) = 8/x

Cross multiply:

12.8 × x = 8(6+x)

12.8x = 48 + 8x

12.8x - 8x = 48

4.8x = 48

Divide both sides by 4.8:

x = 48/4.8

x = 10

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The value of x is 10 yards. The given shape is a trapezoid.

What are trigonometry ratios?

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Draw a line parallel to the base.

Name the corner point of the shape.

Assume that ∠ADG = θ.

Consider △BDF:

BD = 6 + x

DF = 8 + 4.8 = 12.8 yrds.

The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.

cos θ = DF/BD

cos θ = 12.8 /(6+x)  .....(i)

Consider △CDE:

cos θ = DE/CD

cos θ = 8/x  .....(ii)

Now equate equations (i) and (ii):

12.8 /(6+x) = 8/x

Cross multiply:

12.8 × x = 8(6+x)

12.8x = 48 + 8x

12.8x - 8x = 48

4.8x = 48

Divide both sides by 4.8:

x = 48/4.8

x = 10

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) Prompt the user to input an integer between 32 and 126, a float, a character, and a string, storing each into separate variables. Then, output those four values on a single line separated by a space. (Submit for 2 points).

Note: This zyLab outputs a newline after each user-input prompt. For convenience in the examples below, the user's input value is shown on the next line, but such values don't actually appear as output when the program runs.

Answers

The complete program is

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

How to write the program

From the question, we have the following parameters:

Accept inputs of integer, float, character and stringPrint the inputs on a line separated by space

The program that does this is:

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

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please help with all 3 questions
will give brainliest to whoever answers them all

Answers

Answer:

Question 1: 29

Question 2: 50

Question 3: AD≅BC

Step-by-step explanation:

question 1: Since it's a parallelogram opposite sides are equal.

4x+5=5x-1   add one to both sides

4x+6 =5x subtract 4x from both sides

6 = x

So AD is equal to 5(6) - 1 = 30-1 =  29=AD

Question 2: Since diagonals in a parallelogram bisect each other AE = EC

So...

5x+5 = 8x- 7 add 7 to both sides

5x+12 = 8x subtract 5x from both sides

12=3x divide both sides by 3

4=x

AC= 5(4) + 5 + 8(4) - 7

AC= 20 + 5 + 32 - 7

AC= 50

Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.

By using the elimination method you get the answer  line AD ≅ line BC

Find the midpoint and distance between (-3,10) and (15,-2)

Answers

The midpoint and distance between (-3,10) and (15,-2) are ( 6,4 ) and 6√13 respectively.

What is the midpoint and distance between the given coordinates?

The midpoint formula is expressed as;

[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Given the data in the question;

Point 1(-3,10)

x₁ = -3y₁ = 10

Point 2( 15,-2 )

x₂ = 15y₂ = -2

Plug the given values into the midpoint formula and simplify.

[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]

[ ( -3 + 15)/2, ( 10 + (-2) )/2 ]

[ ( 12)/2, ( 10 - 2 )/2 ]

[ ( 12)/2, ( 8 )/2 ]

( 12/2, 8/2 )

( 6,4 )

Therefore, the midpoint is (6,4).

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √( ( 15 - (-3)  )² + ( -2 - 10 )² )

D = √( ( 15 + 3  )² + ( -2 - 10 )² )

D = √( ( 18  )² + ( -12 )² )

D = √( 324 + 144 )

D = √( 468 )

D = 6√13

Therefore, the distance between the points is 6√13.

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If anyone could and is good at angles please help? Thank you.

Answers

Answer:

A) Angle A. Angle EG.

B) Angle A and Angle F.

C) Angle EG and Angle D.

I hope this helped you!

When the Bureau of Labor Statistics conducts a survey, it begins by partitioning the U.S. adult population into 2007 groups called primary sampling units. Assume that these primary sampling units all contain the same number of adults. If you randomly select one adult from each primary sampling unit, is the result a simple random sample? Why or why not? If it is not a simple random sample, what type of sample is it?

Answers

The method illustrated in this example is not a simple random sampling method. Instead, it is a two-stage cluster sampling method.

What is Probability and Non-Probability Sampling?

It is not always possible to interview or survey an entire population. Therefore, in many research studies, a portion of the population that is expected to represent the population is drawn and surveyed instead. The portion that is drawn is called the sample, and the method used to draw the sample is called the sampling method. Broadly, there are two types of sampling methods. The probability sampling method is a method wherein all members of the population have an equal probability to be selected to be included in the sample. The non-probability sampling method is a method wherein not all members of the population have an equal probability to be selected to be included in the sample. Instead, members are recruited into the sample based on the researcher's subjective and personal judgment.

Simple Random Sampling Method:

Simple random sampling method, sometimes abbreviated as SRS, is the purest form of probability sampling. Figuratively, it is like putting the names of the entire population in a hat and drawing each member from the hat with a blindfold. Therefore, every member of the population has an equal chance of being included in the sample.

Two-stage Cluster Sampling Method:

In the first stage of a two-stage cluster sampling method, the population is first divided into subgroups called clusters. For instance, the population is divided into subgroups based on geographic location. Unlike strata in stratified sampling, clusters are heterogeneous and each cluster is supposed to represent the heterogeneity of the population. These clusters are also known as primary sampling units or PSUs. In the second stage, the simple random sampling method is used to draw individuals from each of the PSUs to be included in the study sample.

Hence, The method illustrated in this example is not a simple random sampling method. Instead, it is a two-stage cluster sampling method.

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If you’re currently making $10.50 per hour and you’re offered a new job that pays $11.75 per hour, what will be your percent of increase in pay?

Answers

Answer: To find the percent increase in pay, you can use the following formula:

percent increase = ((new pay - old pay)/old pay) * 100

Plugging in the values given in the question, you get:

percent increase = ((11.75 - 10.50)/10.50) * 100

= (1.25/10.50) * 100

= 0.119047619 * 100

= 11.9047619%

Therefore, the percent increase in pay is approximately 11.9%.

Step-by-step explanation:

The total cost (t) after 8% sales tax is added to an item's price (p): 1.08p= t

Answers

The total cost of the item after the sales tax of 8 % is given by the equation t = 1.08p , where p is the initial price of the item

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost price of the item be represented as t

Let the initial cost price of the item be represented as p

Now , the sales tax percentage = 8 %

So , the equation will be

The total cost price of the item t = sales tax percentage ( initial cost price of the item ) + initial cost price of the item

Substituting the values in the equation , we get

The total cost price of the item t = 8 % ( p ) + p

On simplifying the equation , we get

The total cost price of the item t = ( 8/100 ) p + p

The total cost price of the item t = 0.08p + p

The total cost price of the item t = 1.08p

Hence , the equation is t = 1.08p , where p is the initial price of the item

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This is an unusual question it isn't school related but I'm trying to reverse engineer a formula for WAR ( Baseball statistic) using the variables of OBP (.340) SLG (.430) league average OBP (.324) league average SLG (.413) plate appearances (600) and games played (150) the WAR after all that is an even 2.0 so I'm wondering if anyone on here could reverse engineer an equation using those variables to get 2 as an answer please and thank you

Answers

WAR, or Wins Above Replacement, is a statistic that attempts to measure a player's overall contribution to their team in terms of the number of wins they have provided. It is a cumulative statistic, meaning that it takes into account a player's performance across multiple categories and is intended to provide a comprehensive measure of their value.

There are a few different methods that can be used to calculate WAR, and the specific formula used can depend on the source and the specific requirements of the calculation. In general, however, WAR is calculated by first determining the player's offensive and defensive contributions and then adding these together to get the overall WAR value.

To reverse engineer a formula to get a WAR value of 2.0 using the given variables, you would need to consider how these variables are typically used in the calculation of WAR and work backwards to determine the appropriate formula. This may involve some trial and error, as there is not a single "standard" formula that is used universally for calculating WAR.

Help
Complete the puzzle so that each row, column, and diagonal adds up to the same total.

Answers

Complete the puzzles with values -4, 0, -3 and 2

How to complete the puzzle?

Since each row, column, and diagonal adds up to the same total.

For the 1st row, the total is:

3 + (-2) + (-1) = 0

That means each row, column, and diagonal will always adds up to 0.

3 + w + 1 = 0

w = -3-1

w = -4

w + y + 4 = 0

-4 + y + 4 = 0

y = 0

-1 + 4 + t = 0

3 + t = 0

t = -3

1 + h + t = 0

1 + h + (-3) = 0

h -2 = 0

h = 2

(Check the attached image for labeling)

Thus, complete the puzzle with the values accordingly

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Pls, solve this equation with the steps u took. 30 POINTS! posted this for the 2nd time

Answers

Answer:

x=2/3

Step-by-step explanation:

when the three turned into a 2 it removed one third, so we need to remove one third from 1, which gives us 2/3.

Basically, if a rectangle side goes from x to y, we figure out the percent decrease, and subtract that percent from the other side to find the variable we need to find on the other rectangle

a local zoo has 900 pounds of bamboo to feed the giant panda. Each day, the giant panda eats 30 pound of bamboo. An accident happens and 125 pounds of the bamboo cannot be fed to the giant panda Determine the range of the number of days the zoo has more than 500 pounds of bamboo left.

Answers

The range of days to have 500 pounds left is 30 - 17.5 days

What is range?

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8

The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days

but due to accident 125 pounds are not good

Therefore the new pound of bamboo = 900- 125 = 875 pounds

The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds

therefore no of days on 375 pounds = 375/30 = 12.5

Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days

The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days

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a baker has 85 cups (c) of flour to make bread.she uses 6 1/4 c of flour for each loaf of bread

Answers

The baker can make 13 loafs of bread using 85 cups of flour using 6 1/4 c of flour for each loaf of bread.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A baker has 85 cups (c) of flour to make bread she uses 6 1/4 c of flour for each loaf of bread.

Now, The fraction 6 1/4 can be written as 25/4.

Therefore, The number of bread loaf the baker can make is,

= (85/25/4).

= 85×(4/25).

= (17×4)/5.

= 68/5.

= 65/5 + 3/5.

= 13 + 3/5.

So, he can make 13 bread loafs.

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4 out 18 students will ride in a car instead of a van

Answers

What’s the question?

hello i need help with questions 5 please thank you.

Answers

5a) The total cost of buying the car, priced at $32,000 with the harmonized sales tax (HST) of 13%, is $36,160.

5b) Through the lease, the customer saves $14,760.

5c) The lease options for the lessee after returning the car include:

Lease buyoutLease extensionNew lease contractBuying out the vehicle and then reselling it.

6a) The after-tax cost of the Honda Civic is $32,199.35.

6b) The value of the vehicle that needs to be financed is $26,199.35.

6c) The monthly payment will be $567.26 for 4 years.

6d) After four years, the total amount paid for the vehicle is $33,228.48.

Financing Options:

A lease is a financing option for the use of capital assets by which the lessee utilizes an asset for a stated period while making periodic payments to the lessor.

A car purchase can also be financed through loans, like home mortgages.

Value of the car = $32,000

Harmonized Sales Tax (HST) = 13%

Cost of the car with HST = $36,160 ($32,000 x 1.13)

Lease Arrangement:

Down payment = $1,000

Financing part = $35,160 ($36,160 - $1,000)

Installment payments = 48

Periodic payments = $425

Total lease cost = $21,400 ($1,000 + 48 x $425)

Savings (advantages) from leasing = $14,760 ($36,160 - $21,400)

Jordan's Car:

The value of the Honda Civic = $28,495

Harmonized Sales Tax (HST) = 13%

After-tax cost = $32,199.35 ($28,495 x 1.13)

Annual interest rate = 1.9% compounded monthly

Down payment = $6,000

Financing part = $26,199.35 ($32,199.35 -$6,000)

Financing period = 4 years

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 1.9%

PV (Present Value) = $26,199.35

FV (Future Value) = $0

P/Y (# of periods per year) = 12

C/Y (# of times interest compound per year) = 12

Results:

Monthly Payments (PMT) = $567.26

Sum of all periodic payments = $27,228.48

Total Interest $1,029.13

Total amount paid over 4 years = $33,228.48 ($27,228.48 + $6,000)

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Can anybody awnser the table for me!!

Answers

The table is completed as shown below and total earnings of Lori is found.

What exactly is total earnings of a person?

The wages paid for both regular working hours and other working hours, including extra work or tips are referred to as total earnings.

Consider Tuesday

Hours worked = 4

Base salary = 4 × 7 ( $7 per hour given)

                     = $28

Tips = 18% of food sales = 0.18 × 300 = $54

Total earnings on Tuesday = 28 + 54 = $82

In the similar way the table can be completed as below.

1) The total earnings of Lori for the week = 82+138.9+218.5+173 = $612.4

2) Total earnings in a year = 52 × 612.4 = $31844.8

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Evaluate each expression for x = 3 & y = 4
4. x² + 2(x+y)
5. (xy)^3
4х² - 3ху
4x -

Answers

Using the values for x and y and substituting these values in the expression of equations provided, The answer is 23 and 1728.

What do you mean by equations?

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

What do you mean by substitution?

When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.

x=3 and y=4

[tex]x^2 + 2(x+y)\\=3^2 + 2* (3+4)\\=9+2*7\\=9+14\\=23[/tex]

[tex](xy)^3\\=(3*4)^3\\=12^3\\=1728[/tex]

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Is the set of rational expressions closed under subtraction? Explain
P(x) /q(x) - r(x)/s(x) =

Answers

The set of rational expressions are closed under subtraction because the subtraction will result to a rational expression

What is a rational expression?

The ratio of two polynomials is a rational expression.

A rational expression can be expressed in the form p/q, where p and q are polynomials,

Closure property of rational expression

According to the closure property, a - b is also a rational number for any pair of two rational numbers, a and b. The outcome is a rational number. Therefore, under subtraction, the rational numbers are closed.

In the polynomial subtraction

= P(x) /q(x) - r(x)/s(x)

= (P(x) * s(x) - r(x) * q(x)) / (q(x) * r(x))) also a rational number

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The ratio of men to women working for a company is 6 to 5 . If there are 105 women working for the company, what is the total number of employees?

Answers

Answer:

231 employees

Step-by-step explanation:

The ratio of men to women working for the company is 6 to 5, which means that for every 5 women working at the company, there are 6 men working at the company.

Since there are 105 women working at the company,

there are 6/5 * 105 = 126 men working at the company.

In total, there are 126 men + 105 women = 231 employees working for the company.

to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.

Answers

Both of you are correct because using either way can solve the equation for the value of x.

How to solve for x ?

In the case of solving for x in  2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.

Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :

Multiplying :

2/5 x = 14

5 / 2 x 2 / 5 x = 14 x 5 / 2

x = 35

Dividing :

2/5 x = 14

2 / 5 x / 2 / 5 = 14 / 2 / 5

x = 35

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Kendra and Dalisay practice archery. Kendra hits the target 3 times every 5 misses. Dalisay hits the target 5 times every 7 misses. Who hits the target more?

Answers

Dalisay hits the target more.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Kendra hits the target 3 times every 5 misses.

And, Dalisay hits the target 5 times every 7 misses.

Since, Kendra hits the target 3 times every 5 misses.

Hence, In 1 misses Kendra hits the target = 3/5 times

                                                               = 0.6 times

And,  Dalisay hits the target 5 times every 7 misses.

Hence,  In 1 misses Dalisay hits the target = 5/7 times

                                                               = 0.74 times

Thus, Dalisay hits the target more.

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Length of insect is 23mm and length of drawing is 85mm. So what is Magnification​

Answers

Answer:

The magnification is the ratio of the size of the image to the size of the object. In this case, the length of the insect is the size of the object, and the length of the drawing is the size of the image.

To find the magnification, we can divide the size of the image by the size of the object:

Magnification = size of image / size of object

Plugging in the values, we have:

Magnification = 85mm / 23mm

Calculating, we find that the magnification is approximately 3.7. This means that the length of the drawing is 3.7 times the length of the insect.

Step-by-step explanation:

The magnification of a drawing is a measure of how much larger or smaller the drawing is compared to the actual object being depicted. To calculate the magnification of a drawing, you can divide the length of the drawing by the length of the actual object.

In this case, the length of the insect is 23 mm and the length of the drawing is 85 mm. To find the magnification of the drawing, we can divide the length of the drawing by the length of the insect:

Magnification = Length of drawing / Length of insect

Magnification = 85 mm / 23 mm

Magnification = 3.69

So, the magnification of the drawing in this case is 3.69. This means that the drawing is 3.69 times larger than the actual insect.

On her to her grandmothers house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?

Answers

She traveled 6.375 miles by train.

What is the speed of an object?

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here as per question the formula is x × (4+3×4)=34

∴ x×16=34

       x= 6.375

Hence, She traveled 6.375 miles by train.

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Imagine products you might create in a given amount of time: poems, baked goods, online videos, movie reviews, video game mods, scarves, drawings, or anything else you can picture yourself making as part of a small, one-person business. Choose and describe two such products. They will be product 1 and product 2

Answers

Producing written and visual content for social media can be divided into two items that can be developed as a one-person small business in a little amount of time.

What is social Media?

Social media is internet communication that enables real-time information sharing and customer interaction. Social networking can help you: better connect with your audience. building online networks sell and publicise the goods and services you offer.

Social media's effects on business

The social media presence of businesses in order to boost visibility, engagement, positioning, and value creation for their intended audience has been facilitated by the digital revolution.

In order to help businesses establish their strategy in the digital environment, marketing and advertising agencies can quickly produce digital media such posters and catalogues in addition to advertising text as their core offerings.

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DUE PLS HELP!! Kayla has $45 and wants to buy three shirts that are originally priced at $18 each. They are on sale for 20% off. After applying 5% tax, does Kayla have enough money to purchase the three shirts?

Complete each statement.

Answers

The cost of the shirts after the discount is $43.20.

A 5% tax adds an additional $2.16 so the total bill comes to  45.36.

Kayla does not have enough money to buy the three shirts.

Does Kayla have enough money to purchase the three shirts?

The first step is to determine the total cost of the three shirts.

Total cost of the three shirts = cost of one shirt x total number of shirts

$18 x 3 = $54

Cost of the shirt after the sale = (1 - discount/100) x total cost of the shirt

(1 - 20/100) x $54

(1 - 0.2) x $54

= 0.8 x $54

= $43.20

Price after the tax : (1 + tax/100) x cost of the shirt after the discount

(1 + 5/100) x $43.20

(1 + 0.05) x $43.20

1.05 x $43.20 = 45.36

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Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and has a mean of 50. Database B also has 40 entries made up equally of the values 49 and 51 and also has a mean of 50. Which database will have the smaller value for its standard deviation?

Answers

If we compare the given values then we can find that database B is more likely to have a smaller standard deviation.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Given that the values in database A are 0 from 100 and have a mean of 50 and Database B has entries from 49 to 51 and also has a mean of 50.

We are required to find the database whose standard deviation is lower.

Standard deviation measures the variation of values. It is calculated after finding the mean. The square of a standard deviation is known as a variance.

Database A has values from 0 to 100 and has a mean of 50. Because the values are somewhat very larger than 50 and database B has values from 49 to 51, there are more chances that the standard deviation of database B will have a smaller value than the standard deviation of database A.

Hence if we compare the given values then we can find that database B is more likely to have a smaller standard deviation.

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my mom will kill me please help

Answers

If the perimeter of the triangle is 64 units, then the length of the side PR is 24 units.

What is a Triangle?

This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.

The perimeter of a triangle is the sum of all the sides which is:

P = a + b + c

64 = 3x +4x - 1 + x + 1

64 = 8x

x = 64/8 = 8 units

Therefore the length of side PR is :

3x = 3 (8) = 24 units.

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