1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna35 [415]
3 years ago
5

A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning

the mural to be (x+4) by(2x+5) what is the area of the remaining wall after the mural has been Painted
Mathematics
1 answer:
zvonat [6]3 years ago
8 0

Answer: 46x^2+73x+15

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

A=lw

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are (6x+7) by (8x+5), its area is:

A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35

As they are planning that the dimensions of the mural be (x+4) by (2x+5), its area is:

A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20

Then the area of the remaining wall after the mural has been painted is:

A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15

You might be interested in
Rewrite 13 over 7 as a mixed number
antoniya [11.8K]
To simplify mixed numbers, Divide 13 and 7. We get 1 R 6. Since the remainder is out of 7, the mixed number would be 1 6/7

Hope this helps!
3 0
3 years ago
Read 2 more answers
Please help me I will give you the brain thing with extra points if you help me, please. I need to get this right. 5/5
sveta [45]
C, reflection over the x axis
5 0
2 years ago
Read 2 more answers
​It's believed that as many as 23​% of adults over 50 never graduated from high school. We wish to see if this percentage is the
laila [671]

Answer: 756

Step-by-step explanation:

Given : The proportion of adults over 50 never graduated from high school.  = 0.23

Margin of error : E=0.03

Significance level : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

The formula to find the sample size is given by:_

n=p(1-p)(\dfrac{z_{\alpha/2}\ }{E})^2

i.e. n=(0.23)(0.77)(\dfrac{(1.96)}{0.03})^2=755.941511111approx756

Hence, the required minimum sample size = 756

4 0
3 years ago
Jake said he can find 630 ÷ 10 by taking the 0 off of 630 to get 63.
Colt1911 [192]

Answer:

Jake is incorrect with his methodology for solving these problems

Step-by-step explanation:

Jake is incorrect with his methodology for solving these problems. This is because dividing a number by 10 requires moving the decimal point one digit to the left. When dividing 630 by 10, removing the zero works because by moving the decimal one digit to the left we would simply drop the zero and the decimal would not be needed leaving the answer as 63. However, this does not work on numbers that already have a decimal such as 35.270. This number divided by 10 would be 3.527 but simply removing the 0 like Jake states would give us the incorrect answer of 35.27

4 0
2 years ago
The baker had some oil. He used 4 2/6 cups of oil to make cakes and 3 2/6 cups of oil to make cookies. Now he has 2 4/6 cups of
bogdanovich [222]
4 2/6 + 3 2/6 + 2 4/6 = 10 2/6 or 10 1/3
3 0
3 years ago
Read 2 more answers
Other questions:
  • In a bag, there are 5 cards numbered 1 to 5. Each time a card is randomly selected, it I'd replaced in the bag. What is the prob
    5·2 answers
  • Graph the line x = -3
    15·1 answer
  • Use the distributive property to express the sum of 48+84 as a multiple of 2 numbers with no common factor.
    11·1 answer
  • What is true about 3 times 9 ? 1) it’ is 3times smaller than 9 2) it is 3 less than 9 3) it is 3times as much as 9 4) it is 3 mo
    12·2 answers
  • The length of a rectangle is six times its width.
    13·1 answer
  • 3 over 4 x minus 3 +1 over 4x= 2 1over2 minus 1 over 4
    8·1 answer
  • At a dog park, there are 10 black dogs, 5 brown dogs, 2 white dogs, and 12 multi-color dogs.
    9·2 answers
  • BRAINLIEST <br> Volume of a cylinder.
    7·2 answers
  • Fred is making a bouquet of carnations and roses. The carnations cost $5.25 in all. The roses cost $1.68 each. How many roses di
    12·1 answer
  • Solve for x -12=-32+55
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!