The new post office has an area that is 6.5 times the area of the old post office. Let p represent the area of the old post office. Write an expression to represent the area of the new post office?

Answers

Answer 1

Answer:

[tex]Area = 6.5p[/tex]

Step-by-step explanation:

Given

[tex]Area\ of\ Old = p[/tex]

[tex]Area\ of\ New = 6.5 * Area\ of\ Old[/tex]

Required

Write an expression for the area of new post office

From the question, we have the following:

[tex]Area\ of\ Old = p[/tex]

and

[tex]Area\ of\ New = 6.5 * Area\ of\ Old[/tex]

Substitute p for Area of Old in the second equation

[tex]Area\ of\ New = 6.5 * p[/tex]

[tex]Area\ of\ New = 6.5 p[/tex]

Hence, the expression is:

[tex]Area = 6.5p[/tex]


Related Questions

Solve the equation tanxtan(x – 45°)=0 for 0° < x < 360°.

Answers

Answer:

\tan \left(\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}\right)

Step-by-step explanation:

A 50-foot flagpole near an office building casts a shadow
that is 12.5 feet long. At the same time, the office building
casts a shadow that is 50 feet long. How tall is the office
building?

Answers

Step-by-step explanation:

Here are some hints: "At the same time,"means you need to set up a proportion (two ratios equal each other).

The shadow is always on the ground.

A person and a flagpole always stands up straight, like a wall (vertical height)

Underline key words and numbers. Draw a picture for sure.

|

|X 5.5 ft. |

|____________ |____

flagpole=50 feet person's shadow=4 feet

shadow

Since it is easier to work with one type of measurement, change the person's height to feet only. The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet

Write the simplified form of (-0.5z + 0.9z) – (-0.3z + 0.9z) please help me im confused

Answers

do u like beans?Step-by-step explanation: hope it helps

Answer:

-0.2z

Step-by-step explanation:

-0.5z + 0.9z - ( -0.3z+0.9z) open paranthesis and change the sign of all terms

-0.5z + 0.9z + 0.3z - 0.9z combine terms

-0.5z+0.3z= -0.2z

How would you simplify 3/16 times 6/11 before finding the product

Answers

answere:

You can't simplify

explanation:

there is no need to simplify because 3/16 and 6/11 is the simplest form.

someone help me find x please!

Answers

X is equal to 28 and Y is equal to 23

total cost spent at a play avries directly with how many tickets are purchased. if any buys 5 tickets and spends 30 dollars. how much would 25 tickets cost

Answers

Answer:

$150

Step-by-step explanation:

5 x 6 = 30

25 x 6 = 150

Answer:

If it is a solution of equations, then plug your solution into the equations you are working on to make sure that all equations are satisfied by your solution.

Step-by-step explanation:

I hope that this was helpful.

I need help very important

Answers

Answer:

∠ EFG = 83°, ∠ GCE = 97°

Step-by-step explanation:

Since FE and FG are tangents to the circle then

∠ FGC and ∠ FEC are right angles

The sum of the angles in quadrilateral CEFG = 360°

Sum the 4 angles and equate to 360

3x + 11 + 90 + 5x - 23 + 90 = 360, that is

8x + 168 = 360 ( subtract 168 from both sides )

8x = 192 ( divide both sides by 8 )

x = 24

Thus

∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°

∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°

HELP PLease! 40 points!!!!

Answers

Answer:

D. 480 ft

Step-by-step explanation:

Let the sides of triangle be a, b and c

Perimeter

P = a + b+ c = 40

New sides

12a, 12b and 12c

New perimeter

Pn = 12a + 12b + 12c = 12(a+b+c) = 12*40 = 480 ft

Correct choice is D

Determine the degree of each monomial.

Answers

Answer:

Step-by-step explanation:

4= 0 degree

2z= 1 degree

4r^2st^3= 6 degree

3xyz^2= 4 degree

URGENT WILL GIVE BRAINLIST, please answer these 3 questions

Answers

Answer:

Q.8:use the equation [tex]y-y_1=m(x-x_1)[/tex] [tex]y-(-4)=-6(x-(7))\\y+4=-6x+42\\y=-6x+38[/tex]Q.9:Find slope with [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] substitute and solve[tex]slope=\frac{(1)-(-3)}{(3)-(1)} =2[/tex] then as follows[tex]y-y_1=m(x-x_1)\\y-(1)=2(x-(3))\\y-1=2x-6\\y=2x-5[/tex] Q.10:Find slope [tex]slope=\frac{(12)-(2)}{(2)-(7)}=-2[/tex] then[tex]y-y_1=m(x-x_1)\\y-(2)=-2(x-(7))\\y-2=-2x+14\\y=-2x+16[/tex]

PLEASE HELP MEEEEEEE

Answers

Answer:

triangle BFD

75 degrees

I believe Triangle BFD

Write an equation in slope intercept form using the information below.

Answers

We want the equation in the form y = mx + b.

We are given that m = -7.

The y-intercept (our b) is 8.

Here it is:

y = -7x + 8

15 time the difference of 14 and 6

Answers

Answer:

120

Step-by-step explanation:

14-6=8x15=120

15 • (14-6)
15 • 8
=120


[tex]the \: angle \: of \: measure \: \frac{31\pi}{6} \: lies \: in \: which \: quadrant[/tex]

Answers

Answer:

3rd quadrant

Step-by-step explanation:

First we just convert the angle from radians to degrees[tex]\frac{31\pi radians }{6}*\frac{180degrees}{\pi radians} =\frac{31*180}{6} degrees=930degrees[/tex] Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;[tex]930degrees-360degrees=570degrees\\570degrees-360degrees=210degrees[/tex]  Now in which quadrant it 210 degrees?0 degrees to 90 degrees is 1st quadrant90 degrees to 180 degrees is 2nd quadrant180 degrees to 270 degrees is 3rd quadrant270 degrees to 360 degrees is 4th quadrantSo our answer is the 3rd quadrant.

omar buys a pack of 8 towels for 24.00 find the unit price in dollar per towel

Answers

Answer:

um 3

Step-by-step explanation:

whats 24 divided by 3 mate? 3

i mean all u need is a calculator im dumb as hell and i know that...

hope...this helps you :) have a great day

3 nBAHAHAHAHAHAAH yeah I’m drunk sorry

I need help ‍♀️What acronym help you decide order to multiply Binomials ?

Answers

Answer:

FOIL

Step-by-step explanation:

" is just a mnemonic. It helps some people to remember all the steps needed to multiply two binomials. It "makes sense" because it's methodical and gives the right answer.

What is the inverse of f(x) = sqft x+ 3

Answers

Answer:

[tex]f^{-1} (x)=x^{2} -3[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\sqrt{x+3}[/tex]

We can find the inverse function by exchanging x and y, and then solve for y.

[tex]y=\sqrt{x+3}[/tex]

Replace x with y.

[tex]x=\sqrt{y+3}[/tex]

square both sides

[tex]x^2=y+3[/tex]

[tex]y=x^2-3[/tex]

Hence,

[tex]f^{-1} (x)=x^{2} -3[/tex]

Using the slope formula, find the slope of the line through the points (0,0) and (4,12).

Answers

I think it’s 4/12 I’m not sure tho

Answer:

3

Step-by-step explanation:

slop of given point is 3

Help please if you can

Answers

Answer: mutiply x by itself to get y

Step-by-step explanation:

Find the slope of the question y=5

Answers

Answer:

0,5

Step-by-step explanation:

slope: 0

y-intercept:(0,5)

Which statement correctly compares the function shown on this graph with the function y =5x+5.
A. The function shown on the graph has a greater rate of change, but a lower starting point.
B. The function shown on the graph has a greater rate of change and a higher starting point.
C. The function shown on the graph has a smaller rate of change, but a higher starting point
D. The function shown on the graph has a smaller rate of change and a lower starting point.​

Answers

D. The function shown on the graph has a smaller rate of change and a lower starting point. Sorry if incorrect i hope i helped.

3x²+2x²+x-2 divided x+2​

Answers

Answer:

3x^2-4x+9 remainder -20/x+2

Step-by-step explanation:

Use substitution to find an exponential function, y= a - b" that passes through
(2, 16) and (5, 1.024).

Answers

Answer:

[tex]y = 4^x[/tex]

Step-by-step explanation:

Given

[tex](2,16)[/tex]

[tex](5,1,024)[/tex]

Required

Determine the exponential function [tex]y = a.b^x[/tex]

In [tex](2,16)[/tex]

[tex]x=2[/tex] and [tex]y = 16[/tex]

Substitute these values in [tex]y = a.b^x[/tex]

[tex]16 = a.b^2[/tex] --- (1)

In [tex](5,1,024)[/tex]

[tex]x = 5[/tex] and [tex]y = 1024[/tex]

Substitute these values in [tex]y = a.b^x[/tex]

[tex]1024 = a.b^5[/tex] --- (2)

Divide (2) by (1)

[tex]\frac{1024}{16} = \frac{a.b^5}{a.b^2}[/tex]

[tex]\frac{1024}{16} = \frac{b^5}{b^2}[/tex]

[tex]64 = \frac{b^5}{b^2}[/tex]

Apply second law of indices

[tex]64 = b^{5-2[/tex]

[tex]64 = b^3[/tex]

Express 64 as an exponent of 3

[tex]4^3 = b^3[/tex]

[tex]4 = b[/tex]

[tex]b = 4[/tex]

Substitute 4 for b in (1)

[tex]16 = a.b^2[/tex]

[tex]16 = a * 4^2[/tex]

[tex]16 = a * 16[/tex]

[tex]16 = 16a[/tex]

Solve for a

[tex]a=\frac{16}{16}[/tex]

[tex]a = 1[/tex]

Substitute 1 for a and 4 for b in [tex]y = a.b^x[/tex]

[tex]y = 1 * 4^x[/tex]

[tex]y = 4^x[/tex]

The exponential function is given by y = 100(0.4)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

At point (2, 16):

16 = ab²      (1)

At point (5, 1.024):

1.024 = ab⁵      (2)

Dividing equation 2 by equation 1:

b³ = 0.064

b = 0.4

16 = a(0.4)²

a = 100

The exponential function is given by: y = 100(0.4)ˣ

Find out more at: https://brainly.com/question/12490064

A pool is in the shape of a rectangular prism. On Monday, water was pumped out of the pool at a constant rate, starting at 12:00 p.m. At 12:15 pm, the water in the pool was 45 inches deep. At 12:25 p.m., the water in the pool was 41 inches deep. Write an equation that represents y, the depth of the water (in inches), after x minutes.

Answers

Answer:

y = 51-0.4x

Step-by-step explanation:

From the question, we can see that the amount of water left in the pool was 45 inches deep within 12:15-12:00 = 15 minutes

However, within 10 minutes there was a loss of 45-41 = 4 inches

So what this means is that per minute, the amount of loss expected is 4 inches/10 minutes = 0.4 inches per minute

what we are saying is that a loss of 4 inches depth of water is needed per minute

So we want to write an equation, representing the depth after x minutes

So what we have here is that the total inches at present will be;

45 + 0.4(15) = 45 + 6 = 51 inches

The pool was 51 inches deep initially before the pumping out began

That will be;

y = 51-0.4x

where is the depth and x is the number of minutes

Answer:

24 inches

Step-by-step explanation:

a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share. what is the percent loss?

Answers

Answer:

60%

Step-by-step explanation:

its right

If a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a company’s stock was selling at 35$ a share.

After a month later it was selling at 14$ a share.

We need to find the percent of loss.

Original share price=35

new share price=14

We calculate the percentage by finding the difference and dividing the difference with the original share price.

35-14/35

0.6

Now multiply this 0.6 with 100 as it is a hundredth part.

0.6×100

60%

Hence, if a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

PLS Help .Kennedy Middle School is having a Halloween celebration. Students visit each classroom and solve math problems to get candy. For each problem they solve correctly, they earn 8 pieces of candy. Jack's teacher gave him 4 pieces of candy to start with. Jack's goal is to get at least 60 pieces of candy. Graph on the number line the number of problems Jack will need to solve correctly to meet his goal.

Answers

Answer:

Ok im too too sure but I think that it is the one with the filled in dot -->

Step-by-step explanation:

What is 83 1/3% of 30

Answers

answer: 25

step by step explanation:
yw
hope this helps
give brainliest plz

Jose has $4. His mom gives him $2 each time he does his homework. He is saving up to
buy a game that costs $68. How many times does he have to complete his homework in
order to reach this goal?

Answers

Jose has to complete his homework 32 times because you have to subtract the $4 that he already has form the $68 total, we then have to divide $64 and $2 which leaves us with 32.

equation form:
(68-4)/2=32

what is next in the sequence ? 17, 13, 9, 5​

Answers

Answer:

1

Step-by-step explanation:

It is being subtracted by four everytime

What is the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0)?



Enter your answer in the box.

Answers

Answer:

The equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be:  [tex]x-2y=0[/tex]

Step-by-step explanation:

Given the line

[tex]x-2y=-4[/tex]

[tex]x+4 = 2y[/tex]

[tex]y=\left(\frac{1}{2}\right)x+2[/tex]

[tex]m_1=\frac{1}{2}[/tex]

so, the slope of the line parallel to the given line would have

the same slope as  [tex]\frac{1}{2}=m[/tex], and passed through the point (0, 0).

Therefore, the equation of the required line is given by

[tex]y = mx+b[/tex]

[tex]y=\left(\frac{1}{2}\right)x+0[/tex]

[tex]y=\left(\frac{1}{2}\right)x[/tex]

[tex]2y=x[/tex]

[tex]x-2y=0[/tex]

Therefore,  the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be:  [tex]x-2y=0[/tex]

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