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Yuki888 [10]
3 years ago
15

A group of art students are painting a mural on 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:
Alexeev081 [22]3 years ago
8 0
First: Find x

I used the larger rectangle first but you can do either one.

I added (8x+5) + (8x+5) + (6x+7) + (6x+7) =360

I made the sides equal to 360 because a square’s interior angles are equivalent to 360 degrees.

(8x+5) + (8x+5) + (6x+7) + (6x+7) =360

28x+24 = 360

28x = 336

X = 12

Next: Implement 12 in for x in every equation and follow the formula for a rectangle’s area.

A = b*h

BIG SQUARE:

(8(12)+5) + (8(12)+5) + (6(12)+7) + (6(12)+7)

=360

LITTLE SQUARE:

2((2(12)+5) + (6(12)+7)) = 90

Lastly: Subtract the little squares area from the biggest square

360 - 90 = 270
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What is the solution to the equation?
AleksandrR [38]

Solution of the equation: x=6\frac{1}{2}

Step-by-step explanation:

The equation that we have to solve in this problem is:

13\frac{3}{4}+x=7\frac{1}{4}

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

13\frac{3}{4}=\frac{13\cdot 4+3}{4}=\frac{52+3}{4}=\frac{55}{4}

And

7\frac{1}{4}=\frac{7\cdot 4+1}{4}=\frac{29}{4}

So the equation becomes

\frac{29}{4}+x=\frac{55}{4}

Now we multiply by 4 each term on both sides, and we get

29+4x=55

Now we subtract 29 from both sides,

4x=55-29=26

And finally, we divide both sides by 4:

x=\frac{26}{4}=\frac{13}{2}=6\frac{1}{2}

Learn more about equations:

brainly.com/question/11306893

brainly.com/question/10387593

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
An entrepreneur faces many bureaucratic and legal hurdles when starting a new business. The World Bank collects information abou
slamgirl [31]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Rearranged data:

5, 5, 5, 5, 6, 7, 7, 7, 8, 12, 12, 13, 13, 15, 18, 18, 27, 28, 36, 48, 52, 60, 66, 94

Start time for Suriname = 694

Mean = ΣX / n

Mean = (567 + 694) / (24 + 1) = 1261 / 25 = 50.44

B.) median start Time for initial 24 values

0.5(n+1)th term

0.5(25) = 12.5th term

(13 + 13) / 2 = 13

C.) preferred measure of center for the distribution will be the median as it shapes well in the middle of the distribution. The mean is overestimated

d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.

Using calculator :

Lower quartile Q1 --> 7

Median Q2 --> 13

Upper quartile Q3 --> 42

IQR = (Q3 - Q1) = 42 - 7 = 35

OUTLIER:

Lower bound : Q1 - 1.5(IQR) ; 7 - 1.5(35) = - 45.5

Upper bound : Q3 + 1.5(IQR) = 42 + 1.5(35) = 94.5

Outlier : values below - 45.5 and above 94.5

Hence, Surimanes start time is the only Outlier.

e)

Standard deviation for 24 countries :

Standard deviation = sqrt[Σ(X - mean)^2 / (N - 1)]

Usibg calculator :

Standard deviation for the 24 countries is 23.83

f)

Standard deviation

5 0
2 years ago
Lizzy and Ella sold 10 boxes of cookies for $55.50. How much does each box of cookies cost? Show all your work and explain how y
densk [106]
55.50/ 10 boxes =5.50 that is  cost of 1 box. 
5 0
3 years ago
The square below has a side length of 14 inches. What is the area of the shaded region?
hichkok12 [17]

Answer:

14 square units

Step-by-step explanation:

7 0
2 years ago
Rename 1/5 and 9/10 using the least common denominator
skad [1K]

Answer:

2/10

Step-by-step explanation:

you have to match the bottom number on both fractions then do what ever you did to the top number

so with this to get the 5 to a 10 you have to times it by 2

so you do the same to the 1

3 0
3 years ago
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