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BlackZzzverrR [31]
3 years ago
14

One eighth of a number is ten less than one third of the number. Find the number.

Mathematics
2 answers:
GarryVolchara [31]3 years ago
7 0
X/8 - 10 = x/3

bring the values with the variable on one side

x/3 - x/8 = 10

find a common denominator and subtract these fractions

8x/24 - 3x/24 = -10

now subtract fractions

8x - 3x = 5x

5x/24 = -10

multiply both sides by 24

5x = -240

divide both sides by 5

x = -48

the number is -48
r-ruslan [8.4K]3 years ago
5 0

Answer:

\frac{-5x}{-5}=\frac{-240}{-5}

Step-by-step explanation:

Let x be our required number.

One-eighth of the number would be \frac{1}{8}x.

One-third of the number would be \frac{1}{3}x.

10 less than one-third of the number would be \frac{1}{3}x-10.

We have been given that one eighth of a number is ten less than one third of the number. We can represent our given information in an equation as:

\frac{1}{8}x=\frac{1}{3}x-10

\frac{1}{8}x-\frac{1}{3}x=\frac{1}{3}x-\frac{1}{3}x-10

\frac{x}{8}-\frac{x}{3}=-10

\frac{3x}{24}-\frac{8x}{24}=-10

\frac{3x-8x}{24}=-10

\frac{-5x}{24}=-10

\frac{-5x}{24}*24=-10*24

-5x=-240

\frac{-5x}{-5}=\frac{-240}{-5}

x=48

Therefore, our required number is 48.

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Each quilt requires 3 7/8 yards of fabric how many yards will you need for 1, 2, 3,4 quilts.
ICE Princess25 [194]

Step-by-step explanation:

Given,

No. of yards required for each quit = 3 7/8

can also be written as = 59/8

so,

yards,

required for 2 quilts = 2 × 59/8 = 14 3/4

required for 3 quilts = 3 × 59/8 = 23 4/8

required for 4 quilts = 4 × 59/8 = 8 1/2

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7 0
3 years ago
Enlarge the triangle by scale factor of -1/3
Bess [88]

The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

  • Scale factor, k = -1/3
  • Center, (a,b) = (-1,2)

From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

(x,y) \to (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)

A' = (0, 2)

B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)

B' = (0, 4)

C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)

C' = (-1, 4)

See attachment for the image of the triangle, after it has been enlarged

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

4 0
2 years ago
Solve &amp; Discuss It!
agasfer [191]

Answer:

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

Step-by-step explanation:

After reviewing the information given for solving the question, we notice that the ratio of adults in relation with the number of children at the beach is 4:3. In that case, for finding the number of children for every specific number of adults, we do the following calculations:

1. For 8 adults: 8/4 = 2 and using the ratio 4:3, we multiply by 2 and we get that the number of children is 6.

2.  For 12 adults: 12/4 = 3 and using the ratio 4:3, we multiply by 3 and we get that the number of children is 9.

3.  For 16 adults: 16/4 = 4 and using the ratio 4:3, we multiply by 4 and we get that the number of children is 12.

4.  For 20 adults: 20/4 = 5 and using the ratio 4:3, we multiply by 5 and we get that the number of children is 15.

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

7 0
3 years ago
Can someone help me?
maw [93]

Answer:

The answer is A.

Tip:

Press control + U to find the answers in Forms

6 0
3 years ago
Read 2 more answers
Expand -8 to the 3rd power
BigorU [14]
Use a calculator lollll
8 0
3 years ago
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