The scale for a map to actual distance is 2 centimeters to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 5.4 centimeters. What is the actual distance, in miles, between Los Angeles and Las Vegas?

Answers

Answer 1

[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]


Related Questions

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

first one is 42
second is 24
Third is 12

Answer:

1 is 12

2 is 106

3 is 42

Step-by-step explanation:

1: PEMDAS. 5x2=10 4 to the power of 2 is 16 so 18-16=2 2+10=12

2: 9 to the power of 2 is 81. 4x7=28 28-3=25 81+25=106

3: 5 to the power of 2 is 25 7x3=21 25-4=21 21+21=42

If you own a car with an assessed value of 23,300 in the state of West Virginia, which has a 1.66% tax rate, what would your property taxes be for your vehicle

Answers

Answer:

Average County Tax Rate

0.520%

(Mercer County)

Property Taxes

$121

(Annual)

Step-by-step explanation: I'm assuming this is the answer, if you can please can you mark me Brainliest.

Circle the multiplication problem that does not belong with the other three. explain 12×8=,22×4=,42×2=,33×3=

Answers

Answer: 12 x 8

Step-by-step explanation: The other three are not the basic multiplication facts from 0 - 12.

ASAP
which of the following values of 'x' is the equation 4(x-2)-3x
= x +2 true?

A. -1

B. All Real Numbers

C. The equation has no solution

D. 3

E. 2

Answers

Answer: A

Step-by-step explanation:

Which of the following is a factor of
f(x) = x - 3x² - 64x - 60?
(x - 1)
(x - 3)
(x + 10)
(x+6)

Answers

Answer:

x-1

MARK ME BRAINLIEST PLS

help me out guys I don't get this ?!​

Answers

Answer:

B: (-2,-3)

Step-by-step explanation:

The problem basically wants you to find the vertex because that is the turning point of an absolute value graph where the slope goes from negative to positive immediately. B is the best choice because the vertex is translated 2 to the left and 3 down.

Jeremy flew 8 times last week for work. If each flight was 2 hours long, how much time did Jeremy spend in the air?

Answers

The number of hours Jeremy spent in the air is 16 hours.

How to find the number of hours he spend in the air?

He flew 8 times last week for work.

Each flight was two hours long.

Therefore, each flight, he spends two hours in the air.

Now he took this two hours flight for 8 times.

Therefore, the number of hours he spend in the air can be calculated as follows:

number of hours spent in the air = 8 × 2

number of hours spent in the air = 16 hours

Therefore, he spent 16 hours in the air.

learn more on hours here: https://brainly.com/question/14093155

#SPJ1

What are the solutions of x2 - 2x + 10 = 0 ?

Answers

Answer:

Step-by-step explanation:

=

±

2

4

2

x

=

b

±

b

2

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

1

0

=

0

x

2

2

x

+

10

=

0

x2−2x+10=0

=

1

a

=

1

a=1

=

2

b

=

2

b=−2

=

1

0

c

=

10

c=10

=

(

2

)

±

(

2

)

2

4

1

1

0

2

1

x

Answer:

C. x=1+3i, x=1-3i

Step-by-step explanation:

[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]

Please take a look at the picture

Answers

Step-by-step explanation:

option c is correct answer

Answer:

A) -11/-4

Step-by-step explanation:

-11/-2=11/4

Rewrite the fraction.

-(-11/4)

=11/4

Hope this helps :)

The student government snack shop sold 64 snacks this week. 8 of the snacks sold were fruit cups. What percentage of all snacks sold were fruit cups?
Rewrite the equation as a division equation.

Answers

Answer:

8/64 = 0.125 = 12.5%

Step-by-step explanation:

8/64 = 0.125 = 12.5%

the equation 2x^2+5kx+k=0, where k is a constant has no real roots. Find possible values of k

Answers

Step-by-step explanation:

What do you mean "no real roots" ?

if I understand correctly we have

2x² + 5kx + k = 0

the solutions for such a quadratic equating are

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 2

b = 5k

c = k

so, we get

x = (-5k ± sqrt(25k² - 8k))/4

why would that have no real solutions ?

e.g. k = 2

x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4

since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.

I don't understand what your need here.

A scale model of a bicycle has a scale of 1 : 25. The real bicycle has a length of 1.75 m. What is the length of the model in cm?​

Answers

Answer:

It's 7 I just did this question today and got it right

& Cassandra took 87 pads from Louie. Louie now only has 15 left. Mr. Flynn doesn't like ipads.
How many did Louie have BEFORE Cassandra took some?

Answers

9514 1404 393

Answer:

  102

Step-by-step explanation:

87 more than 15 is ...

  15 +87 = 102

Louie had 102 iPads before Cassandra tool some.

The Bruce family set out 8 0’clock in the morning. They arrived at the old port of Ambertini at 09:05. How long their journey took?

pls

Answers

Answer:

1hr 5 minutes

Step-by-step explanation:

9hrs 5mins-8 hrs=1 hr 5 mins

mark me brainliest plz if you are helped


1) A very lucrative savings account earns 2.8% annual interest, compounded monthly. It is currently worth $10,427.39. How much was it worth a year and a half ago?

Answers

926+729299277=5289+83783

In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate?
A.
0.8
B.
0.9
C.
1.9
D.
1.1

Answers

Answer:

A. 0.8

Step-by-step explanation:

An easy way is to substitute values into both equations and compare:

A. x = 0.8

f(x) = 2(0.8)² - 3(0.8) + 4 = 2.88g(x) = 5(0.8) - 1 = 3

B. x = 0.9

f(x) = 2(0.9)² - 3(0.9) + 4 = 2.92g(x) = 5(0.9) - 1 = 3.5

C. x = 1.9

f(x) = 2(1.9)² - 3(1.9) + 4 = 5.52g(x) = 5(1.9) - 1 = 8.5

D. x = 1.1

f(x) = 2(1.1)² - 3(1.1) + 4 = 3.12g(x) = 5(1.1) - 1 = 4.5

As we see the most accurate one is A

Let's graph both function(Attached)

Let's round 0.775

[tex]\\ \sf\longmapsto 0.775[/tex]

[tex]\\ \sf\longmapsto 0.77[/tex]

[tex]\\ \sf\longmapsto 0.8[/tex]

Option A is correct

❗❗CORRECT ANSWER+EXPLANATION=BRAINLIEST❗❗
Simplify: (question in the pic)​​

Answers

The simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]

Functions and equation

Given the following function as shown:

[tex]f(x)=\frac{x^2-9}{x^2-3x}[/tex]

This can be factorized as:

[tex]f(x)=\frac{x^2-3^2}{x(x-3)}\\f(x)= \frac{(x+3)(x-3)}{x(x-3)} \\[/tex]

Cancel out the common terms:

[tex]f(x) = \frac{x+3}{x}[/tex]

Hence the simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]\

Learn more on functions here: https://brainly.com/question/10439235

Hi Phoenix! :)

I'm much late lol.

Answer:

[tex]\boxed{ \cfrac{x + 3}{x}} [/tex]

Step-by-step explanation:

Given:

[tex] \cfrac{x {}^{2} - 9}{x {}^{2} - 3x } [/tex]

Solution:

[Here the best option is to factorise the expression.]

Rewrite the numerator of the expression as

[tex] \cfrac{x {}^{2} - 3 {}^{2} }{x {}^{2} - 3x} [/tex]

It can be seen that the numerator is like an algebraic identity:

> a² - b² = (a+b)(a-b)

ATP, numerator : a = x² and b = 3²

[tex] \cfrac{(x + 3)(x - 3)}{ {x}^{2} - 3x} [/tex]

Now in the denominator take x common:

[tex] \cfrac{(x + 3)(x - 3)}{x(x - 3)} [/tex]

(x-3) in the denominator and (x-3) in the numerator gets canceled.

[tex] \cfrac{(x + 3) \cancel{(x - 3)}}{x \cancel{(x - 3)}} [/tex][tex] \boxed{\cfrac{x + 3}{x} }[/tex]

Welp,Done, that's it! :D

Hey everybody! Can anybody help me out with this algebra problem? I would really appreciate it if you can!

The following relation is a variation. Which description best represents the relation?​

Answers

Answer:

x and y are directly related because y = -3x

Step-by-step explanation:

show work plz!!!!!!!!!!!!!

Answers

Here, we have been asked to find the order of rotational symmetry of a symmetry of a regular pentagon. First let us learn about rotational symmetry and some basic terms related to it.

1. Rotational Symmetry: -

It is the property a shape has when it looks the same after some rotation by a partial turn. For example: - an equilateral triangle will look the same after a partial rotation of 120∘

2. Centre of rotation: -

The fixed point around which the rotation occurs is called the centre of rotation. For example: - the centre of rotation of a fan is the centre of the fan from which its blade originates.

3. Angle of Rotational Symmetry: -

The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. For example: - the angle of rotation of an equilateral triangle is 120∘

4. Order of Rotational Symmetry: -

The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still look the same. For example: - an equilateral triangle can be rotated 3 times around a full circle, each time at the angle of 120∘

, so its order of rotation will be 3.

In general, a regular polygon having n – sides have ‘n’ lines of symmetry and their order of rotational symmetry is ‘n’.

Now, let us come to the question. We have to find the order of rotational symmetry of a regular pentagon.

We know that a regular pentagon has 5 sides.

Hence, it will have 5 lines of symmetry and its order of rotational symmetry will be 5.

A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision. True or False: If the level of significance had been chosen as 0.05, the company would market the new anesthetic.

Answers

Testing the hypothesis using the z-distribution, it is found that the statement is False.

At the null hypothesis, we test if the mean is still of 7.4 minutes, that is:

[tex]H_0: \mu = 7.4[/tex]

At the alternative hypothesis, we test if the mean is of less than 7.4 minutes, that is:

[tex]H_1: \mu < 7.4[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are as follows: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]

[tex]z = -1.5[/tex]

The p-value of the test is the probability of finding a sample mean of 7.1 or lower, which is the p-value of z = -1.5.

Looking at the z-table, z = -1.5 has a p-value of 0.0668.

Since the p-value of the test is 0.0668 > 0.05, there is not enough evidence to conclude that the time is lower, hence the statement is False.

A similar problem is given at https://brainly.com/question/16695704

helpppp pleaseeeee✋​

Answers

Answer:

5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9

Step-by-step explanation:

Answer:3,8,3/2

Step-by-step explanation:

1) 5*x=15

X=15/5=3

2) 4*x=32

X=32/4=8

3)

6*x=9

X=9/6=3/2

3x + 5.5 < 20.5
please help

Answers

Answer:

x < 5

Step-by-step explanation:

[Given] 3x + 5.5 < 20.5

[Subtract 5.5 from both sides] 3x < 15

[Divide both sides by 3] x < 5

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
OY =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?

Answers

Using the slope - intercept form to represent the scenario described, the equation obtained would be y = 0.35x + 8

The cost per ride represents the intercept = $8

The cost per mile represents the slope = $0.35

The slope - intercept form of a linear equation is expressed as :

y = bx + c

b = slope ; c = intercept

Therefore, the slope intercept form for the cost of taxi ride is y = 0.35x + 8

Learn more : https://brainly.com/question/18796573

Last year, Dante had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account
that paid 8% simple interest per year. After one year, he received a total of $730 in interest. How much did he invest in each account?

Answers

a = amount invested at 7%

b = amount invested at 8%

we know that total that he invested was 10000, therefore a + b = 10000.

hmmm how muich is 7% of "a"? well (7/100) * a => 0.07a.

how much is 8% of "b"? well (8/100) * b => 0.08b.

After a year he received in interest $730, so we know that at simple interest rate, 0.07a + 0.08b = 730.

[tex]\begin{cases} a+b=10000\\ 0.07a+0.08b=730\\[-0.5em] \hrulefill\\ b = 10000 - a \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{0.07a+0.08(10000-a) = 730} \\\\\\ 0.07a+800-0.08a=730\implies 0.07a-0.08a=-70\implies -0.01a=-70 \\\\\\ a=\cfrac{-70}{-0.01}\implies \boxed{a = 7000} ~\hfill \stackrel{\textit{we know that}}{b = 10000 -a}\implies \boxed{b = 3000}[/tex]

A car drove 55 miles per hour for 8.2 hours and 75 miles per hour for 3.6 hours. How far did the car drive?

Answers

Answer:

Step-by-step explanation:

So at 38mph you are roughly traveling .6333 miles a minute. So 13 miles would take you roughly 8.2 minutes. How does one figure out this?

We know that there are 60minutes in an hour. We know you’re driving 38miles per hour. Dividing 38 by 60 gives you the miles per minute. Multiple that by how many miles you’re driving to get an estimate of the minutes it takes to drive those miles.

For the student council meeting after school, Mr. Aggie brought 7 loaves of homemade raisin bread. Each loaf was cut into 20 equal pieces. The sixth grade students ate 1 whole loaf and 4 slices of raisin bread. The seventh grade students ate 9 slices of raisin bread. The eighth grade students ate 6 slices of raisin bread. Which expression below can be used to show the amount of raisin bread eaten by the student council members?

Answers

Answer:

proportion of ratio will be used

Answer:

C. 1 4/10 + 9/10 + 6/10

got it right

range of the function f(x) = -x^2 - 5

Answers

Answer:

Step-by-step explanation:

If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?

Answers

Answer:

33.33%

Step-by-step explanation:

Which mixed number is represented by the shaded
area?
0 1 1/4
0 1 3/4
0 2 1/4
0 2 3/4
Hurry up plz I’m being timed

Answers

A. 1 1/4

Explanation: count all the orange boxes, the one is completely full which is all orange which is 1 and then there’s only 1 box filled on the second one

Hope this helps!

the answer to the question is 11/4

A farmer had 21 goats all but 9 died how many survive ?

Answers

Answer: 12

Step-by-step explanation:

Answer:

it would be 9

Step-by-step explanation:

All but nine died means "everything except nine goats died"

All 12 goats died.

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