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koban [17]
2 years ago
13

Carlos needs 24 inches of fabric for a pillow that he is making. The fabric store has a piece of material 3/4 of a yard long tha

t is already cut that he can buy for $5.50. If he has the exact size piece he needs cut from a bolt of fabric, it will cost $8.98 a yard. a.) Is the piece of material that is already cut large enough for his pillow? b.) What would be the cost of having exactly 24 inches of fabric cut? c.) Which is the better buy for Carlos?​
Mathematics
1 answer:
pishuonlain [190]2 years ago
4 0

Answer:

a. the piece is already large enough

b. about $5.9866666666 or round to $5.99 for exactly 24 inch

c. The first option is a better buy

Step-by-step explanation:

a. convert 3/4 yard to inches. 1 yard = 36 inch. so 0.75yd / x = 1 / 36

solve and get x = 27 inches, this is more than 24 inches needed.

b. first find how many yards you need, that is same as 24 inch.

1 / 36 = x / 24 inch

x = 2/3 yards

next find how much price would be:

8.98 / 1 = x / 2/3

x = 8.98(2/3) = about $5.99

c. compare the two prices, $5.50 is less than $5.99 so the first option is better.

I spent a while to explain - please rate/like, thank you!

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7. 3x + 4(x – 6) – 3(x – 7) (1 point) 4x – 45 4x – 3 10x – 3 10x + 45
charle [14.2K]

Answer:

  4x -3

Step-by-step explanation:

The distributive property applies.

  3x +4(x -6) -3(x -7)

  = 3x +4x +4(-6) -3x -3(-7) . . . . use the distributive property

  = 3x +4x -24 -3x +21 . . . . . . . . simplify

  = x(3 +4 -3) +(-24 +21) . . . . . . . group like terms, use the distributive property again

  = 4x -3 . . . . simplify

3 0
3 years ago
2. Create a linear function that has a rate of change of 3 and a solution at (6, 12).
Ksivusya [100]

Answer:

y = 3x - 6

Step-by-step explanation:

A linear function has the following format:

y = ax + b

In which a is the slope(rate of change) and b is the y-intercept, that is, the value of y when x = 0.

Rate of change of 3

This means that a = 3

So

y = 3x + b

A solution at (6, 12).

This means that when x = 6, y = 12. So

y = 3x + b

12 = 3*6 + b

b = -6

The linear function is:

y = 3x - 6

4 0
3 years ago
Read and answer the problem. write your answer in a 12-hour clock and a 24-hour clock.
iren [92.7K]

Answer:

Italy - 6am

Taiwan - 1pm

Peru-12am

Turkey-8am

Laos-12pm

Step-by-step explanation:

7 0
3 years ago
How many triangles can be formed with segments measuring 4. 7 m, 1. 6 m, and 2. 9 m? none one more than one.
Svet_ta [14]

The sum of the length of the two sides of the triangle must be greater than the length of the third side. None of the triangles is formed. Then option A is correct.

<h3>What is the triangle?</h3>

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The sides of the triangle are 4.7 m, 1.6 m, and 2.9 m.

The condition will be

1.6 + 2.9 \ngtr  4.7

We know that the sum of the length of two sides of the triangle must be greater than the length of the third side.

Hence, none of the triangles is formed.

Thus, option A is correct.

More about the triangle link is given below.

brainly.com/question/25813512

4 0
2 years ago
Can someone help me asap !!?
denis23 [38]
C. 4
Because the rule of the graph is $1.50 per pound of apple, so you have to divide $6.00 by $1.50 and that gives you the answer.
I hope I helped
Please make me brainliest
5 0
4 years ago
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