The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x feet longer and x feet wider. Find the new dimensions of the new mural with an area of 540 square feet

Answers

Answer 1

Answer:

18 ft and 30 ft

Step-by-step explanation:

The new dimensions will be:

10 + x and 22 + x

The area is 540

Using area equation we get:

(10 + x)(22 + x) = 540x² + 32x + 220 = 540x² + 32x = 320x² + 2x*16 + 256 = 320 + 256(x + 16)² = 576x + 16 = √576  (Ignoring the negative root as the length is never negative)x + 16 = 24x = 8

The new dimensions are:

10 + 8 = 18 ft and 22 + 8 = 30 ft

Related Questions

I need help with these 2 problems I cant figure out.

Answers

I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.

2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)

Next, I add 20 on both sides.

2x + 90 + 3x = 200º

I combine like terms (2x and 3x)

5x + 90 = 200º

I subtract 90 from both sides.

5x = 110º

Divide 110 by 5 to get x.

x = 22

======

For problem two, I label all the angles I know.

49º + 80º + r = 180º

I add 80 and 49.

129º + r = 180º

I subtract 180 and 129 and get 51º, which is your angle for R.

For angle X, you know that angle R plus angle X equals half of a circle, which is 180º

We know from before that 129º is 180º without R, so X is 129º

I hope this helps! Let me know if I'm wrong!

If x=√7/5 and 5/x=p√7 find p
Plz tell fast
I will mark as branliest

Thank you

Answers

Replace x with √7/5

5/√7/5 = p √7

Divide both sides by √7

P = 5/√7/5 /√7

P = 25/7

Answer: p = 25/7

Can you guys tell me the answer to this question?

Answers

Answer:

I get the answer 52°......................

A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 44 cables and apply weights to each of them until they break. The 44 cables have a mean breaking weight of 778.1 lb. The standard deviation of the breaking weight for the sample is 15.5 lb.

Find the 99% confidence interval to estimate the mean breaking weight for this type cable.

( , )

Answers

Answer:

372.r2

Step-by-step explanation:

Help me please!Please look at the pic then tell me if im wrong on something.Thank you! :)

Answers

Answer: for every 3 triangles there are 5 squares. not 4. so the ratio is 3:5.

could you give me brainliest pls?

In triangle abc ac=8cm, line bm is a median

Answers

Answer:

In triangle ABC, centroid D is on the median line segment AM.

Step-by-step explanation:

If AB=13cm,BC =13cm and AC=10cm, calculate: the height BM of the triangle. In triangle ABC, centroid D is on the median line segment AM.

hope i helped

HELP ASAP SHOW YOUR WORK AND EXPLAIN HOW YOU GOT YOUR ANSWER-NO LINKS OR JOKING AROUND

4. The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the equation. Include the phrases, "Isolate the variable by _____," "Simplify," and "Isolate the variable term by _____" in your answers.

Answers

Answer:

x = 7

Step-by-step explanation:

Rearrange the equation to make x the subject.

Original:

7x + 3 = 52

subtract 3 from both sides

7x = 52 -3

7x = 49

Divide both sides by 7

x = 49/7

x = 7

How many solutions does this nonlinear system of equations have?
A. 1
B. 4
C. 0
D. 2

Answers

Answer:

A

Step-by-step explanation:

Answer:

its 2

Step-by-step explanation:

The x-intercept of f(x) is 5. If g(x)=f(x+2), then what is the x-intercept of g(x)?

Answers

Answer:

To find the

x- intercept, we set y=0 and solve for x:0=.5x−3

3=.5x

6=x

So. the x-intercept is

(6,0)

To find the

y-intercept, it's a similar system We set x=0 and solve for y this time.

y=.5⋅0−3

y=−3

That was easy :)

So, our y-intercept is (0,−3)

Just to double check our work, let's graph the equation and see the

x and y- intercepts

graph{y=.5x-3}

Yep,

(6,0) and (0,−3). We were right!

A car rental agency charges $75 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.35 per mile.

Write an equation relating m, the number of miles driven, if the total cost for a one-day rental was $131.

Answers

Answer:

Answer for part b is ≈274 miles

Step-by-step explanation:

No idea what the equation is ‍

Answer:

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160

Step-by-step explanation:

if you sold 60 cups of lemonade , how many cups of orange drink did you sell

Answers

Answer: 0, I think, hope this helps

Step-by-step explanation:

Answer:

you sold 40 cups of orange drink.

Step-by-step explanation:

60*2=120 (the cups of lemonade, multiplied by the cost equals how much you earned from lemonade.)

240-120=120 (how much you earned total, minus 120, how much you earned from lemonade, equals the remainder, how much total you earned for the oragne drinks. )

120/3=40 (the amount you earned for the orange drinks, divided by three, how much you earned for each, which equals 40. and equation would be

240=2x+3y

240=2(60)+3y

240=120+3y

240-120=120-120+3y

120=3y

120/3=3y/3

40=y

Hope this helps!

Which of the following is the measure of side a?
23.3
144
8
16


Answers

Step-by-step explanation:

it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :

c² = a² + b²

where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.

so, we have

20² = a² + 12²

400 = a² + 144

a² = 256

a = 16

FYI - we could have picked the right answer also by eliminating the wrong given answer options.

as this is a right-angled triangle :

a cannot be longer than the baseline (20).

that eliminates already the first 2 options.

and then look at the picture : a cannot be shorter than b (the other side line (12)).

that eliminates the third option.

if i had 475 connolies and got left with 24 and i sold them for 2.50 how much money did i make.​

Answers

1127.50 money

475-24=451
451 times 2.5

[tex]\sqrt{4x-5}-\sqrt{16-5x}[/tex]

Answers

Answer:

[5/4,16/5]

Step-by-step explanation:

A. Annie is correct. Keegan did not regroup properly. B. Keegan is correct. Annie did not regroup properly. C. Keegan is correct. Annie did not line up the decimals correctly. D. Annie is correct. Keegan did not line up the decimals correctly.​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is C

Keegan is correct, Annie didn't line up the decimals correctly.

Only answer please please

Answers

Answer: D

Step-by-step explanation:

Answer:$22.50

Step-by-step explanation:

The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:

($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.

[Note how the units cancel, leaving just $]

Cantaloupes are four for $9, how many can you buy for $25?

Answers

You can buy 2

Explanation
25$/9$=2.8 but you can’t buy .78 of a cantaloupe

The formula 1/2 bh finds the area of what shape?

Answers

The formula ½ bh finds the area of a triangle.

Please check the picture.

Answer:

Triangle

Step-by-step explanation:

b -  base of the triangle

h - height or altitude

the sum of two numbers is 21 the second number is six times the first one

Answers

Answer:

18+3

Step-by-step explanation:

3x6= 18

and 18+3=21

help pls?? answer for me??f

Answers

ANSWER

C PO SANA MAKATULONG PO YAN

The p/q form of 0.4277777....... ,9 # 0 is 77/180 ( ) 180 43 90 37 90​

Answers

Answer:

77/180

Step-by-step explanation:

x = 0.42777....

Multiply by 1000   (the number of digits in decimal)

1000x = 427.7777......

  100x =  42.7777......    {Now subtract}

900x =  385

      x = 385/900

x = 77/180

i need help with this maths homework please

Answers

I found this on another question made before

Someone that understands this please help!ASAP it’s 8th grade math

Answers

Answer:

simple ( principal *rate*time)/100.

3500*4*10/100 = 1400 interest

account balance =3500+1400=4900

compound p(1+r)^t

3500(1+.04)^10 =3500* 1.480=5180

interest earned = 5180-3500= 1680

how much more interest. ; 1680-1400=280

Answer:

Step-by-step explanation:

Simple Interest:

Simple Interest formula is S.I. = P × r × t

Interest Eared: $3,500 × 0.04 × 10 = $1,400

Account Balance formula is A = P ( 1 + rt )

Account Balance: $3,500 + $1,400 = $4,900

Compound Interest:

Compound Interest formula: [tex]A =P(1+r)^{t}[/tex]

Account balance: $5,180.85

Interest Earned: $5,180.85 - 3,500.00 = $1,680.85

QUICK HELP!!!
Use the table of the probability distribution to find the variance

Answers

The answer is 0.6 to find the variance

Answer:

0.9

Step-by-step explanation:

please help I'm lost

Answers

Answer:

x=3

y=2

z=-3

Step-by-step explanation:

Solve the equation |p − 8| = 4.

Answers

Answer:

p (4;12)

Step-by-step explanation:

lp - 8l = 4

---------------

1.

p - 8 = 4

p = 12

---------------

2.

- p + 8 = 4

p = 4

--------------

P: (4,12)

Answer:

P = -6 hope it helps

Step-by-step explanation:

Find the gradient and intercept on the x and y axes of the straight line with the following equation.

y + 5x = 13

Answers

Answer:

gradient is 5

Step-by-step explanation:

x intercept, replace y with 0

y +5x= 13

0+ 5x =13

0 - 13= -5x

-13= -5x

-13/-5 = -5x/-5

x = 13/5

y intercept, replace x with 0

y+5x=13

y+5(0)=13

y+0=13

y =13

what is the answer for this question

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 centimeters

Step-by-step explanation:

leaf is 11cm, catepillar is 6.... 11-6=5

Solve the equation, y = 7x + 10, using the x-values, 3, 5, and 8.
Which of the following T-tables represents the ordered pairs?

Please help !!

Answers

Answer:

y=7%283%29%2B10

y=21%2B10

y=31

(3,31)

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

The perimeter of a rectangular field is 358 m.
If the length of the field is 96 m, what is its width?

Answers

Answer: 83 meters

Step-by-step explanation:

The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.

2(96) + 2w = 358

192 + 2w = 358

2w = 166

w = 83

Hope it helps :) and let me know if you want me to elaborate.

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