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2 years ago

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Cara uses nylon cord to make necklaces. Each necklace requires 18.75 inches of cord. Cara has 281.25 inches of the cord on hand.

If she uses all of it, how many necklaces can Cara make?

1 answer:

Juli2301 [7.4K]2 years ago

3 0

Answer:

Cara can make 15 nylon cord necklaces exactly.

Step-by-step explanation:

This looks like a simple division problem, just divide 281.25 by 18.75 and you should get 15.

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Estelle is helping at a community food drive by boxing up cans of soup. There are two sizes of boxes, large and small. Estelle f

podryga [215]

Answer:

The small box contains 21 cans

<em></em>

Step-by-step explanation:

Represent the small box with S and the large with L.

For Estelle:

$3L + 5S = 170$

For the boy:

$4L + 4S = 184$

Required

Determine the cans in the small box

$3L + 5S = 170$ --- (1)

$4L + 4S = 184$ --- (2)

Divide (2) through by 4

$L + S = 46$

Make L the subject

$L = 46 -S$

Substitute 46 - S for L in (1)

$3L + 5S = 170$

$3(46 - S) + 5S = 170$

Open bracket

$128 - 3S + 5S = 170$

$128 + 2S = 170$

Collect Like Terms

$2S = 170-128$

$2S = 42$

Divide both sides by 2

$S = 21$

<em>Hence, the small box contains 21 cans</em>

4 0

2 years ago

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Carla has already written 10 pages of a novel. she plans to write 15 additional pages per month until she is finished. write and

grin007 [14]

Linear Equation: 15m+10=w
15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months.
m= number months written. In this case, it is 5 months.
w= number of pages written in 5 months
15(5)+10=w
75+10=w
85 pages written=w
Carla will have written 85 pages in 5 months.

4 0

2 years ago

Carson has two cans of red paint. The first can contains 3 pints of red paint. The second can contains 4 16 pints of red paint.

allsm [11]

Answer: 1⁵/₈ pints

Step-by-step explanation:

First can contained 3¹/₄ pints and second can contained 6¹/₂.

To make them equal, first find the different;

= 6¹/₂ - 3¹/₄

= 6.5 - 3.25

= 3.25

Divide this difference by 2;

= 3.25/2

= 1.625

= 1⁶²⁵/₁₀₀₀

= 1⁵/₈ pints

If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.

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2 years ago

Snezhnost [94]

Answer:

The exponential Function is $20+12h=200$ .

Farmer will have 200 sheep after <u>15 years</u>.

Step-by-step explanation:

Given:

Number of sheep bought = 20

Annual Rate of increase in sheep = 60%

We need to find that after how many years the farmer will have 200 sheep.

Let the number of years be 'h'

First we will find the Number of sheep increase in 1 year.

Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.

framing in equation form we get;

Number of sheep increase in 1 year = $\frac{60}{100}\times20 = 12$

Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.

Framing in equation form we get;

$20+12h=200$

The exponential Function is $20+12h=200$ .

Subtracting both side by 20 using subtraction property we get;

$20+12h-20=200-20\\\\12h=180$

Now Dividing both side by 12 using Division property we get;

$\frac{12h}{12} = \frac{180}{12}\\\\h =15$

Hence Farmer will have 200 sheep after <u>15 years</u>.

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3 years ago

What is 7/10 - 1/10 in its simplest form

Elenna [48]

3/5 cause you get the lowest common denominator

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2 years ago

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