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ss7ja [257]
2 years ago
8

The image below represents a 12 x 16 room with an 8 x 10 piece of linoleum centered in the room. The yellow and blue rectangles

extend the length of their respective sides. Where these two rectangles overlap, there is a green rectangle. In the paragraph box below, explain why the total colored area is 62 square feet.

Mathematics
2 answers:
n200080 [17]2 years ago
7 0
Since the rectangles are colored in, we can take the area of each color, then add them together. To find all the lengths and widths, subtract as needed: Since the center rectangle's length is 10 feet, subtract 10 from the length of the room which is 16 feet. Those 6 units must be divided in half to give 3 feet for the width of the blue rectangle. Similarly, subtract 8 from 12 and divide the 4 in half to give 2 feet for the width of the yellow rectangle. This also reveals the length and width of the green rectangle. The length is 3 and the width 2, so the area is found 3x2=6. The area of the blue rectangle is found 3x10=30. The area of the yellow rectangle is found 13x2=26. Add these areas up: 6+30+26 = 62 square feet.
Andrei [34K]2 years ago
3 0

Answer:for the people here to find out the area of the green rectangle the answer is 6

Step-by-step explanation:

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Can someone help me solve this :
bija089 [108]

Answer:

The total cost of 5 pillows and 7 sheets is $205.345

Step-by-step explanation:

Let x be the price of pillow case

We are given that the price of the pillows is 3 times as much as the price of a pillow case

Price of pillow = 3x

Price of 2 pillows = 2(3x)=6x

Price of 3 pillow case = 3x

At a store, 2 pillows and 3 pillow cases together cost $73.08.

So, 6x+3x=73.08

9x=73.08

x=\frac{73.08}{9}

x=8.12

So, Price of 1 pillow case = 8.12

Price of 1 pillow = 3x=3(8.12)=24.36

Price of 3 pillow =3(24.36)=73.08

Let y be the cost of 1 sheet

The total cost of 3 pillows and 4 sheets is $120.82

So, 73.08+4y=120.82

y=\frac{120.82-73.08}{4}

y=11.935

Price of 1 sheet = 11.935

Price of 7 sheets = 7(11.935)=83.545

Price of 5 pillows =5(24.36)=121.8

So,the total cost of 5 pillows and 7 sheets=83.545+121.8=205.345

Hence the total cost of 5 pillows and 7 sheets is $205.345

5 0
2 years ago
A piggy bank contains some dimes and nickels. There are 8 more dimes than nickels in the bank. There is a total of $1.40. How ma
Softa [21]

Answer:

4 nickels

12 dimes

Step-by-step explanation:

Dimes are worth .1 each while nickels are .05 each.

We have 8 more dimes than nickels. Let d represent number of dimes and n for number of nickels. This means we have d=8+n.

If all our nickels and dimes together are worth 1.4 then we have another equation .1d+.05n=1.4

Lets put our equations together:

d=8+n

.1d+.05n=1.4

‐-----------------Plug first equation into second.

.1(8+n)+.05n=1.4

Distribute

.8+.1n+.05n=1.4

Combine like terms

.8+.15n=1.4

Subtract .8 on both sides

.15n=.6

Divide both sides by .15

n=.6/.15=4

Remember there are 8 more dimes so d=8+4=12.

5 0
2 years ago
Which of these is a recurring cost of car ownership?
Vlad1618 [11]

Answer:

D. Windshield replacement

Step-by-step explanation:

A Recurring Cost is a regularly occurring cost or estimated cost which is documented with one record—a Recurring Cost record—that describes the income or expense and its pattern (how often it occurs, the rate at which it increases or decreases, the time period during which the cost applies, and so forth)

5 1
2 years ago
Ten major recording acts are able to play at the stadium. If the average profit margin for a concert is $175,000, how much would
nikitadnepr [17]

Answer: Total amount the stadium would clear for all of these events combined is $1750000

Step-by-step explanation:

Since we have given that

Number of major recording acts are able to play at the stadium = 10

Average profit margin for a concert = $175000

We need to find the amount that the stadium clear for all of these events combined

As we know the formula for "Average"

Average=\frac{\text{ Total sum}}{\text{ Number of recording acts }}\\\\175000=\frac{\text{total sum}}{10}\\\\175000\times 10=Total\ sum\\\\\$1750000=Total\ sum

Hence, total amount the stadium would clear for all of these events combined is $1750000.

7 0
2 years ago
Read 2 more answers
A collection of 108 coins containing only quarters and nickels is worth $21. A table titled Coin Collection showing Number of Co
harina [27]

Answer:

q = 108-n

Step-by-step explanation:

Given: 108 coins containing only quarters and nickels

q = 108-n

since total number of coins is 108, and n= number of nickels

If you want to know how many of each kind of coin, read on:

First solve the number of quarters and nickels.

If all 108 coins are quarters, the value is 108*0.25 = $27

Since this value exceed the actual by 27-21 = $6,

we replace a number of quarters by nickels.

Each replacement will reduce the value by 25 - 5 = 20 cents = 0.2 dollars.

So it will take 6/0.2 = 30 replacements.

Therefore there are 108-35 = 78 quarters and 30 nickels.

8 0
2 years ago
Read 2 more answers
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