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Contact [7]
3 years ago
13

Joan wants to buy a rug for a room that is 11 feet by 16 feet. She wants to leave a uniform strip of floor around the rug. She c

an afford 66 square feet of carpeting. What dimensions should the rug have?
Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0
It should have 110 because she can only afford 66 and so 176 - 66 = 110 so it should be 110
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Solve the simultaneous equation x+y/4=1/2 and x-3y/3=2
Feliz [49]

Answer:

x+y/4 = 1/2

x-3y/3 = 2

move variables to one side:

multiply the first equation by 4 to get: x+y =2

and the second equation by 3 to get: x-3y =6

then subtract the equations to cancel out x:

 x+y = 2

- x-3y = 6

then u get

y--3y = 2-6

4y = -4

y=-1

substitute to solve for x:

x-1 / 4 =1/2

x-1 = 2

x=3

check:

3+-1

2/4= 1/2

correct!!!

3 0
3 years ago
Read 2 more answers
Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expendi
elixir [45]

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

7 0
3 years ago
A 10K run is 10 kilometers long. If 1 meter = 1.094 yards, use dimensional analysis to find the length of the race in miles. (Hi
laila [671]
10936.1 yards = 10 kilometers                                                                              1 kilometer = 1093.1 yards                  



7 0
3 years ago
Read 2 more answers
Find the area of the circle r=14m use pi=3.14 and round your answer to the nearest hundredth
pantera1 [17]

Answer:

<h2>The answer is 615 m²</h2>

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius

From the question

r = 14 m

π = 3.14

The area of the circle is

A = 3.14 × ( 14 ) ²

= 3.14 × 196

= 615.44

We have the final answer as

<h3>615 m² to the nearest whole number</h3>

Hope this helps you

7 0
3 years ago
What number is equal to
Salsk061 [2.6K]

Answer:

1296

Step-by-step explanation:

(1/6)^-4

6^4/1

1296/1

1296

8 0
3 years ago
Read 2 more answers
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