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spayn [35]
3 years ago
14

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines. Then she cuts off 5 of the sections to make into p

lacemats. What fraction of the fabric is left?
Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

3/8

Step-by-step explanation:

Let us represent the total fabric as an integer = 1

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.

= 1/8, hence each section = 1/8

Then she cuts off 5 of the sections to make into placemats.

This is written as: 5 sections × 1/8 = 5/8

The fraction of the fabric that is left is calculated as:

1 - 5/8

Lowest Common Denominator = 8

Hence: 8 - 5/8 = 3/8

The fraction of the fabric that is left is 3/8

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =
Tema [17]

Answer:

Volume = π [ 2/3 - 12/2].

Step-by-step explanation:

So, in this question we are asked to find or Calculate for or determine the value of volume v of the solid obtained by rotating the region bonded by the given curves about the specified lines = ? (Unknown). In addition, we are given that y = x, y = x , so, about x = 3.

Volume = π ∫ [ (3 - y)^2 - (3 - y)^2 ] dy.

(Taking 0 and 1 as the lower and upper limit).

Volume = π ∫ 9 - 6y + y^2 - 9 - 6y + y^2 dy.

(Taking 0 and 1 as the lower and upper limit).

Volume = π ∫ 2y^2 - 12y dy.

(Taking 0 and 1 as the lower and upper limit).

(Solving the quadratic equation above, we have; Roots: -6, 0

Root Pair: -3 ± 3

Factored: f(x) = 2(x + 6)x)

Also,

Volume = π [ 2y^3 / 3 - 12y2/2]

Volume = π [ 2/3 - 12/2] cubic units.

3 0
3 years ago
Quadrilateral ABCD is similar to Quadrilateral EFGH. The scale factor is 3:2 if AB = 18, find EF
Marina86 [1]

Answer:

A... 12

Step-by-step explanation:

5 0
2 years ago
Please help me on the first question
tino4ka555 [31]

Answer:

x=5

Step-by-step explanation:

If you add the like terms, 180 would equal 35x + 5. If you subtract 5 on each side, you would get 35x = 175. If you divide each ide by 35 to isolate x, x would be 5.

6 0
3 years ago
Read 2 more answers
Apply the distributive property to factor out the greatest common factor. 18d+12 =18d+12=18, d, plus, 12, equals? (plz help quic
qaws [65]

Answer:

Answer is 6(3 d+2)

Step-by-step explanation:

It is given the expression as 18d+12

Let's find common factor by prime factoring the terms.

18 d =2*3*3*d

12= 2*2*3

Common factors for both terms are 2, 3.

So, G C F = 2*3=6

Take out 6 from both terms to factor further.

We do get 6(3 d+2)

3 0
3 years ago
There are 3 inches of snow on the ground when it begins to snow 0.5 inches per hour.
algol [13]
The answer is <span>y=0.5x+3

</span><span>There are 3 inches of snow on the ground: y = 3
</span><span>When it begins to snow 0.5 inches per hour: y = 0.5x
</span>There are 3 inches of snow on the ground when it begins to snow 0.5 inches per hour: y = 0.5x + 3<span>

</span>
3 0
3 years ago
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