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3 years ago

Kevin needs of a yard of fabric to make a pillow. He has 35 yards of fabric.

Mathematics

1 answer:

sashaice [31]3 years ago

8 0

Answer:

Kevin can make 35 pillows.

Step-by-step explanation:

I assume that your question would be, "How many pillows can Kevin make?" If this is not the answer that you were looking for, you need to input your question.

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phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

Answer:

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

Solution:

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0

3 years ago

Given a sphere with a diameter of 8 cm, find its volume to the nearest whole number

arsen [322]

Answer:

268 cm

Step-by-step explanation:

A P E X

4 0

3 years ago

Solve for x math question

Colt1911 [192]

Square both sides

9(x + 2) = x + 4

Expand

9x + 18 = x + 4

Subtract x from both sides

9x + 18 - x = 4

Simplify 9x + 18 - x to 8x + 18

8x + 18 = 4

Subtract 18 from both sides

8x = 4 - 18

Simplify 4 - 18 to -14

8x = -14

Divide both sides by 8

x = -14/8

Simplify 14/8 to 7/4

C. x = -7/4

8 0

3 years ago

There are four candidates (A. B, C, and D) and 115 voters. When the points were tallied (using 4 points for frst, 3 points for s

aivan3 [116]

Answer:

D had 310 points.

The final ranking is: B,A,D,C

Step-by-step explanation:

The problems states that:

There are 115 votes.

Each ballot has a vote for first place, that counts 4 points, a vote for second place, that counts 3 points, a vote for third place, that counts 2 points and a vote for fourth place that counts 1 point. This means that each ballot has 4+3+2+1 = 10 points.

Since there are 115 voters, there are 115 ballots. This means that the total points of A,B,C and D combined must be equal to 115*10 = 1150. So:

$A + B + C + D = 1150$

We already know that:

A had 320 points, B had 330 points, and C had 190 points.

So:

$A + B + C + D = 1150$

$320 + 330 + 190 + D = 1150$

$D = 310$

B had the most points, followed by A, D and C. So the final ranking is: B,A,D,C

3 0

3 years ago

7x10^6 is _________ x the value of 2x10^4

sashaice [31]

Answer:

350

Step-by-step explanation:

so the first step is to find the values of each of them

7x10^6=7000000

2x10^4=20000

then we divide 7000000 by 20000

7000000/20000=350

so the answer is 350

hope this helps :)

8 0

3 years ago