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3 years ago

10

In a high school graduating class, there are 163 more women than men. Find the number of men if the total number of graduates is

443

1 answer:

kolezko [41]3 years ago

8 0

X=men
x+163=women
443=total

443=x+163+x
280=2x
x=140

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Apollo Spas services 156 hot tubs. If each hot tub needs 105 mL of muriatic acid, how many liters of acid are needed for all of

True [87]

Answer:

16380 mL or 16.380 L

Step-by-step explanation:

1 hot tub requires 105 mL of Acid

156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.

16380 / 1000 mL/L = 16.380 Liters.

5 0

3 years ago

Solve for x and y<br><br>6/x+2y + 5/x-2y = -3 ;<br>3/x+2y + 7/x-2y = -6

Radda [10]

Step-by-step explanation:

Let

{1/(x+2y)} = u -----Eqn(1)

{1/(x-2y)} = v ------Eqn(2)

So, given equation can be rewritten as

⇛6u + 5v = -3 ---Eqn(3)

⇛3u + 7v = -6 -----Eqn(4)

On multiply equation (4) by 2, we get

⇛6u + 14v = -12 -----Eqn(5)

On subtracting equation (3) from equation (5), we get

⇛9v = -9

⇛v = -9/9

⇛v = -1 ----Eqn(6)

Put value of v in equation (3), we get

6u + 5v = -3

⇛6u + 5 * (-1) = -3

⇛6u -5 = -3

⇛6u = -3 + 5

⇛6u = 2

⇛u = 2/6

⇛u = (2÷2)/(6÷2)

⇛u = 1/3 -----Eqn(7)

Now, substituting value of u and v in equation (1) and equation (2), we get

{1/(x+2y)} = 1/3 and {1/(x-2y)} = -1

⇛x + 2y = 3 -----Eqn(8)

⇛x - 2y = -1 -------Eqn(9)

Now, add equation (8) and equation (9) , we get

⇛2x = 2

⇛x = 2/2

<h3>⇛x = 1 -----Eqn(10)</h3>

On substituting x = 1 in equation (8), we get

x + 2y = 3

⇛ 1 + 2y = 3

⇛2y = 3 - 1

⇛2y = 2

⇛y = 2/2

<h3>⇛y = 1 ------Eqn(11)</h3>

Therefore, x = 1 and y = 1

<u>Answer</u><u>:</u> Hence the value of x and y is 1 and 1.

8 0

2 years ago

The cost of a whole box of chips are $60. I have $48. What percentage of the total cost do I have?

goblinko [34]

Answer:

Percentage of total I have = 80%

Step-by-step explanation:

Given:

Price of Box = $60

I Have = $48

To Find:

Percentage I have = ?

Solution:

In this question we are just supposed to find out the percentage of the Value we have so

Percentage can be found by the formula

Percentage $=\frac{Given Value}{Total}*100$ %

Now we have the values of all

So putting in the values

Percentage $=\frac{48}{60}*100$ %

$=\frac{4800}{60}$ %

= 80%

So the Percentage of total cost I have is 80%

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4 0

3 years ago

Use compatible numbers to estimate the quotient <br> 252÷3

ICE Princess25 [194]

Answer:

The value of the given expression is 84.

Step-by-step explanation:

The given expression is

$\frac{252}{3}$

The number 252 can be written as 240+12, because 24 can easily divisible by 3.

The compatible numbers are 240 and 12

$\frac{252}{3}=\frac{240+12}{3}$

$\frac{252}{3}=\frac{240}{3}+\frac{12}{3}$

$\frac{252}{3}=80+4$

$\frac{252}{3}=84$

Therefore the value of the given expression is 84.

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3 years ago

Cindi deposited $300 at 7.5% simple interest rate. How much interest will she earn after 5 years?

pav-90 [236]

Answer:

$431

Step-by-step explanation:

using the formula P(1+r/100)^n,

we can substitute the P with $300,

substitute the r with 7.5%,

and substitute the n with 5.

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3 years ago