What is the value of |238| + |−28| − |−14|?

224
196
280
252

Answer:

Step-by-step explanation:

Since 3 balloons can carry 24 grams of weight, you would multiply 3/24 by 3 to get 72 grams of weight with 9 balloons.

Then, you would divide 3 and 24 by 2/3 to get 16 grams of weight with 2 balloons.

Lastly, add 9/72 grams of weight with 2/16 grams of weight to get a total of "11 balloons can carry 88 grams".

The measure of the missing angle in a given pentagon is 115°. Therefore, option A is the correct answer.

The formula for calculating the sum of interior angles is (n-2)×180° where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

2) The sum of the interior angles of a nonagon

Here, n=9

(9-2)×180°

= 1,260°

3) Here, ∠3+∠4=180°

∠3=101°

101°+∠4=180°

∠4=79°

So, option A is the correct answer.

4) Given that, a regular polygon with 12 sides.

Now, sum of the interior angles = (12-2)×180°

= 1800°

Measure of each angle = 1800/12

= 150°

5) Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°.

Let the measure of fifth angle be x°

85°+110°+135°+95°+x°=540°

425°+x°=540°

x°=115°

So, option A is the correct answer.

The measure of the missing angle in a given pentagon is 115°. Therefore, option A is the correct answer.

Learn more about the sum of interior angles here:

https://brainly.com/question/28793979.

#SPJ1

So on solving the provided question we can say that -  table of 5 are as follows - 5,10,15,20,25,30,35,40,,45,50

What is table?
The definition of a mathematical table is a set of numbers that represents the outcome of a computation with different inputs. Numbers and descriptions that are grouped in rows and columns of data. The table of ten pattern is simple to recall. The numbers are 10, 20, 30, 40, 50, 60, 70, 80, 90, etc. in that order. Relationships between data objects are represented using value tables. In your science lesson, you can make use of the values table. Researchers and scientists use tables of values to record data and hunt for patterns in the data. This pattern may then be applied to forecasting.

table of 5 are as follows  -

5,10,15,20,25,30,35,40,,45,50

To know more about tables visit:

https://brainly.com/question/30127929

#SPJ4

Step-by-step explanation:

so this is really simple

Answer:

D. 1500H = 55(40)

Step-by-step explanation:

This equation represents the point where the total pay from the salaried job offer and the total pay from the hourly wage job offer are equal.

It can be read as : total pay of salaried job = total pay of hourly job.

On the left side of equation, 1500 is the weekly salary, and on the right side 55 is the hourly rate and 40 is the number of hours per week.

A fixed point in the plane around which all points are enlarged or contracted is the centre of a dilation. The centre, which may be found within, outside, or on a figure, is the only invariant (not changing) point under a dilation (k 1).

A Dilation of an image in mathematics refers to a change that results in an image with the same shape but a different size, either larger or smaller. A dilation can only be built with two bits of information.

The scale factor determines how much the dilated image is enlarged or reduced in size in relation to the original. A positive scale factor is required. When the scale factor exceeds 1, the dilation becomes an expansion. If it falls within the range of 0 and 1, the dilation is a contraction.

The point from which the image is dilated is known as the centre of dilatation (or point of dilation).

Following are some shape characteristics that aren't altered by the dilation transformations:

Horizontal Dilation

The dilation transformation of a function y=f(x) is dilated horizontally by a scale factor C is

Y = f(Cx)

This kind of transformation is called a horizontal dilation.

Vertical Dilation

The dilation transformation of a function y=f(x) is dilated vertically by a scale factor C isY = C * f(x)

This kind of transformation is called a Vertical dilation.

The ratio of matching side lengths is the scale factor of a dilatation. The origin will always be the centre of dilatation in this course. You can enlarge a polygon by connecting its vertices while multiplying each vertex's coordinates by the scale factor k.

To know more about How to find the center of a dilation of two shapes Refer to:

https://brainly.com/question/12382913

#SPJ4

The equation which has been given is a linear equation, therefore in order to solve the equation, simply the basic mathematical operation is to be performed. The acquired value of x is not the same as the value. So, when 12=13.x+5, the value of x=21 is not true.

Given information:

The equation given in the question is: 12 = 3x + 5

The value of x=21

Perform the basic mathematical operations and find the value of a variable.

  13x + 5 =12

⇒13x = 12 -5

⇒ 13x = 7

⇒ x = 7/13

⇒ x = 0.538

The acquired value of x is not the alike as the given value.

Hence, when 12=13.x+5 the value of x=21 is not true.

Read more about the equation:

https://brainly.com/question/26310043

#SPJ4

Answer: 72cm i think

Step-by-step explanation: L=6cm, W=2cm, H=6cm

6x2x6=72cm

Answer: 132

Step-by-step explanation:

$871 divided by 67= 13
13= how much money each person spends

so we 1716 divided by 13= 132

Answer:

132

Step-by-step explanation:

I divided $871 by 67 customers and got $13 each person . Then, I divided 1716 by 13 to find out how many people was needed to get the total number of customers needed.

The solution is Option B.

The total amount of the jet ski worth after 7/4 years is given by the equation A = $ 4,784

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the total amount of the jet ski after 7/4 years be A

Now , the equation will be

Let the number of years be x

The The value of that jet ski depreciates by function f ( x ) = 8,500 ( 0.72 )ˣ

So , the equation is f ( x ) = 8,500 ( 0.72 )ˣ

Now , when x = 7/4 years

Substitute the value of x in the equation , we get

f ( 7/4 ) = 8,500 ( 0.72 ) ^ ( 7/4 )

f ( 7/4 ) = 8,500 ( 0.72 ) ^ ( 1.75 )

f ( 7/4 ) = 8,500 x 0.5627712059

f ( 7/4 ) = $ 4,783.555

Now , rounding to the nearest dollar , we get

f ( 7/4 ) = $ 4,784

Hence , the amount after 7/4 years is $ 4,784

To learn more about exponential growth click :

https://brainly.com/question/13674608

#SPJ1

Answer: 1 is 15 and 2 is 10.

Step-by-step explanation:

15/3=5

5+2 equals 7

10/2=5

5+6=11

m=15

x=10

Answer:

Step-by-step explanation:

The proposed rule would prohibit motor vehicle dealers from ... Used vehicles sold by new-vehicle dealerships cost $24,542 on average. Sorry I don't know the rest.

If Reasoning Tommy earned ​$57.00 in interest after 5 years on a principal of ​$300.  The bank you would  rather​ use is: Jane's, because  her bank offers a better interest rate.

Interest rate can be defined as the rate or percentage that enables a borrower to know the interest they will pay on the amount loaned to them. On the other hand interest rate means the rate a person earn on their saved amount.

Based on the given scenario i would make use of Jane bank based on the fact that Jane bank offers a better interest than Tommy bank.

Therefore Jane bank is better.

Learn more about interest rate here:https://brainly.com/question/25793394

#SPJ1

The complete question is:

Tommy earned $30.40 in interest after 4 years on a principal of $200. His simple interest rate is 3.8%. Jane earned $81.90 in interest after 3 years on a principal of $700. Her simple interest rate is 3.9%. Which bank would you rather use? Explain your reasoning.

answer choices

Jane's because her bank offer a better interest rate.

Jane's because her bank accepted a smaller principal.

Tommy's because his bank paid more interest.

Tommy's because his investment took less time.

So on solving the provided question we can say that - the statical data will be2 ; $27  = 4; $5400 = 6; $8100 = 8; $10800

Statistics covers the gathering, organization, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Proudful Personal waste from concerts A data element is a feature (or attribute) data such as height, origin country, income, etc. that is measured or tallied. Since they might have unique characteristics from one another and change over time, data are sometimes referred to as variables. Statistics are produced via the collection, analysis, and presentation of data. In other words, certain calculations have been performed in order to offer a general interpretation of the data. Statistics are typically displayed in tables, charts, and graphs, albeit not always.

statistical data will be as follows -

2 ; $27

4; $5400

6; $8100

8; $10800

10; $135 00

12; $162 00

14; $189

To know more about statistical data visit:

https://brainly.com/question/14893265

#SPJ1

Answer:

The answer is:

8x-29y

Step-by-step explanation:

4(2x-8y)+3y

8x-32y+3y

8x-29y

The final purchase price would be $81.20.

Sale is an act of exchanging goods or services for money. It is a business transaction in which a seller transfers the ownership of goods or services to a buyer in exchange for money. Sale can be done in a variety of ways, such as through retail stores, online stores, auctions, or even by bartering. Sale is one of the most important aspects of any business and is the primary way businesses make money.

This includes the 30% discount, which reduces the original price of the art set from $125 to $87.50, plus the 8% sales tax,

which adds an additional $6.70 to the total.

Therefore, the final purchase price is $87.50 + $6.70 = $81.20.

To know more about sale click-
https://brainly.com/question/24951536
#SPJ1

Complete questions as follows-
A $125 art set is on sale for 30% off. What is the final purchase price if there is an 8% sales tax?

So on solving the provided question, we can say that the triangle are similar, angles have a cosine that is equal to sin(L) are angle K and angle R

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the triangle are similar and angle K and angle R are congruent and is a right angled triangle

so,  angles have a cosine that is equal to sin(L) are angle K and angle R

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

P = 140,000 - 41,000

P = 99,000

The population of Brownsville in 1990 was 99,000 people.

The given number 0.02 can be written in exponential form as [tex]2 \times 10^{-2}[/tex] , because to express small number in exponential form power of 10 notation is used .

To write the number 0.02 to exponential form ,

the first step is to move the decimal point to right until it is after the first non zero digit.

In this number we move the decimal point to move two spaces to right.

So , the number becomes ; [tex]\frac{2}{100}[/tex] ;

Now , we multiply the number 2 we created by 10 having exponent of -2. we know that , Whenever decimal point moves to right, the exponent of 10 will be a negative exponent.

The number after the decimal point is always equal number of spaces  decimal point moves.

So , the final exponential form of 0.02 is [tex]2 \times 10^{-2}[/tex] .

Learn more about Exponential Form here

https://brainly.com/question/17349098

#SPJ4

Answer:

325 adults and 612 students entered the school play

Step-by-step explanation:

1st equation: x is the number of adults and y the number of students.

2nd equation: Students times what they payed + adults times what they payed:

1st:          x + y = 937

2nd:       2x + 0.75y = 1109

x = 937 - y

Now let's replace x for (937 - y) in the 2nd equation, to find out the value of y:
2(937 - y) + 0.75y = 1109

1874 - 2y + 0.75y = 1109

1874 - 1.25y = 1109

-1.25y = 1109 - 1874

-1.25y = -765 (multiply -1)

1.25y = 765

y = 765 / 1.25

y = 612

Now that we found the y value, let's replace it in the 1st equation to find out the value of x:

x + 612 = 937

x = 937 - 612

x =  325

If you want to double check it, you can replace both in the 2nd equation, to make sure:
2 * 325 + 0.75 * 612 = 1109

650 + 459 = 1109  (checked)

The Probability of P(at least 3 tails) is 0.3125.

The correct option is (D).

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total outcome= 16

Now, P( less than 3 tails)= 11 /16

So, P(at least 3 tails) = P( x ≥ 3)

= 1 - P(x < 3)

= 1- 11/ 16

=  5/16

= 0.3125

Hence, the Probability is 0.3125

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ1

The distance from the home plate to the 2nd base will be 127.27 ft.

What is Pythagoras theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Now using the Pythagoras theorem we can find out the length of the other wall

b²=h²-p²

The distance from home plate to the 2nd base will be

b²=h²-p²

h² = b²+p²

h² = 2*90²

h² = 2*90²

h² = 2*8100

h² = 16200

h = 127.27

Hence The distance from the home plate to the 2nd base will be 127.27 ft.

Learn more about Pythagoras theorem, by the following link

https://brainly.com/question/231802

#SPJ1

a. The person who wrote more words in total will be Hudson.

b. Hudson wrote 80 more words

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

Isabelle worked for 55 minutes and wrote an average of 16 words per minute. The total words would be:

= 55 × 16

= 880

Hudson worked for 80 minutes and wrote an average of 12 words per minute. The total words will be:

= 80 × 12

= 960

The difference will be:

= 960 - 880

= 80

Learn more about word problem on

brainly.com/question/21405634

#SPJ1

Answer: x = 6.2

Step-by-step explanation: don't ask how I know

Answer:

Step-by-step explanation:

its closed to 1/2 as 12/24

The formula for finding the area of a triangle with an unknown height is: Area = (Base * Height) / 2. This formula uses the base length of the triangle, multiplied by the height of the triangle, then divided by 2.

The formula for finding the area of a triangle with an unknown height is: Area = (Base * Height) / 2. This formula uses the base length of the triangle, multiplied by the height of the triangle, then divided by 2. To use this formula, start by determining the base length of the triangle. This is the length of any one side of the triangle. Once the base is determined, use the formula to calculate the area. In the formula, the base is multiplied by the height of the triangle. Since the height is unknown, use the Pythagorean Theorem to calculate it. The Pythagorean Theorem states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. Once the hypotenuse is known, the height can be found by using the formula (Height = Hypotenuse - Base) / 2.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

From the linear function that is represented by the table, we can conclude that the slope is -2, and the y-intercept is 12.

The linear function is an equation for a line that can be written by finding the slope between two points on that line, then finding the y-intercept by using the slope-intercept equation: y=mx+b, where b represents the y value of the y-intercept point.

Now we take a look at the following data:

X     Y

–3   18

0    12

3     6

6     0

We want to know the slope by picking two out of four given points, let's say we pick the first two points:

y - y₀ = m (x - x₀)

(18 - 12) = m (-3 - 0)

6 = m * -3

m = 6 / -3

m = -2

Thus the slope is -2.

Now we substitute the slope value to one of the points, let's say we pick the first point:

(x₀, y₀) = (-3, 18)

y - y₀ = m (x - x₀)

y - 18 = -2 (x - (-3))

y = -2x - 6 + 18

y = -2x + 12

Thus the y-intercept of the linear function is 12.

To learn more about linear functions, click here: https://brainly.com/question/4025726

#SPJ4

The calculator provides a tool to help the user convert the repeating decimals to fractions.

A decimal is composed of a whole number and a fraction and is separated by a decimal point.

A fraction is a part of a number. It shows us the parts of a whole of something.  

Learn more about repeating decimal:

https://brainly.com/question/26273124

#SPJ4

The diagram models the expression of option D: (x² + x - 2)/(x - 1) = x + 2.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given image is the dissection of an expression.

From the image it can be obtained that -

The area of the shadow of the fourth quadrant is equal to the width of the first quadrant multiplied by the length of the third quadrant.

So, the expression for the statement will be -

x² + x + x - x - 1 - 1 = (x + 1 + 1)(x-1)

x² + x - 2 = (x + 2) (x - 1)

(x² + x - 2)/(x - 1) = x + 2

Therefore, the expression obtained is (x² + x - 2)/(x - 1) = x + 2

To learn more about expression from the given link

https://brainly.com/question/24734894

#SPJ1