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larisa86 [58]
3 years ago
9

A tailor needs to make uniforms for 32 students from a piece of cloth. If the length of that piece 45 3/4m and each student requ

ires 1 1/8m, calculate the length of cloth that would be left
Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

uniform for 1 student = 1 1/8 = 9/8

uniform 32 students = 32 x 9/8 = 36m

Total cloth = 45 3/4 = 183/4 = 45.75m

Cloth left = 45.75 - 36 = 9.75m i hope that helps

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Three vertices of the trapezoid are A(4d,4e), B(4f,4e), and C(4g,0). The fourth vertex lies on the origin. Find the midpoint of
satela [25.4K]
We have that

point C and point D have y = 0-----------> (the bottom of the trapezoid).

point A and point B have y = 4e ---------- > (the top of the trapezoid)

the y component of  midpoint would be halfway between these lines
 y = (4e+ 0)/2 = 2e. 

<span>the x component of the midpoint of the midsegment would be halfway between the midpoint of AB and the midpoint of CD.

x component of midpoint of AB is (4d + 4f)/2.
x component of midpoint of CD is (4g + 0)/2 = 4g/2.
x component of a point between the two we just found is
[(4d + 4f)/2 + 4g/2]/2 = [(4d + 4f + 4g)/2]/2 = (4d + 4f + 4g)/4 = d + f + g. 

</span>therefore

the midpoint of the midsegment is (d + f + g, 2e)
8 0
3 years ago
Sophia started a lawn mowing business and charges a flat fee of $5.00 plus $3.50 per hour.
umka2103 [35]

Answer:

5 + 3.5h = 29.50

Step-by-step explanation:

The flat fee means that you will be paid the money with no change to it.

So you will not multiply it.

3.5h means that you are adding 3.50 every hour according to the question

So summary:

5+3.5h = 29.50

Evaluation:

5+3.5h = 29.50

24.50 = 3.5h

h = 7

Sofia worked 7 hours

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0
3 years ago
It takes 120 unit cubes to completely fill a rectangular prism. the prism is 10 units cubes high
love history [14]

Answer:

<u>12</u>

Step-by-step explanation:

Well, I am pretty sure you are looking for the length.

Since area = length x width, I would say that you could divide as well.

120 = 10 x <u>12</u>

I am pretty sure the length is <u>12.</u>

<u></u>

:)

4 0
3 years ago
Megan earns $20.00 by walking dogs. She uses all of her earnings to buy a shirt for $12.85 and some stickers for $0.65 each. How
Leya [2.2K]
The answer is B: 11.

To solve it, you need to solve the equation: 20.00=12.85+0.65x
4 0
4 years ago
Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.
yan [13]

Answer:

The value of k is 3.

Step-by-step explanation:

The function f(x) passes through the points (0,4) and (-6,-2)

So the equation of the function is \frac{y-4}{4-(-2)} = \frac{x-0}{0-(-6)}

⇒ y = x + 4 ....... (1)

Again the function g(x) passes through the points (0,4) and (-2,-2).

Therefore, the equation of g(x) will be  \frac{y-4}{4-(-2)} =\frac{x-0}{0-(-2)}

⇒ y = 3x + 4

Therefore, g(x) = 3x + 4 = f(3x) {from equation (1).

So, the value of k is 3. (Answer)

3 0
3 years ago
Read 2 more answers
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