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alexandr402 [8]
3 years ago
5

A pump empties the pool at the rate

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer:

80 hours.

Step-by-step explanation:

20,000  / 1,000  = 20

4  x 20 = 80

Hope this helps.

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A bag of coins contains 2 quarters, 5 dimes, 3 nickels, and 4 pennies. If 2 coins are randomly chosen from the bag, one after th
sineoko [7]
The two coins chosen have to be a quarter and a penny. That leaves you with three pennies. You originally had 14 coins. You took out two you now have 12. 

<span>3/12 = 1/4 </span>
7 0
3 years ago
Read 2 more answers
Examine the system of equations. y = 3 2 x − 6, y = −9 2 x + 21 Use substitution to solve the system of equations. What is the v
nadezda [96]

Answer:

<h2>y = -4/9</h2>

Step-by-step explanation:

Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;

3/2 x − 6 = −9/2 x + 21,

Cross multiplying;

3(2x+21) = -9(2x-6)

6x+63 = -18x+54

collecting the like terms;

6x+18x = 54-63

24x = -9

x = -9/24

x = -3/8

To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;

y = 3/2x-6

y = 3/{2(-3/8)-6}

y = 3/{(-3/4-6)}

y = 3/{(-3-24)/4}

y = 3/(-27/4)

y = 3 * -4/27

y = -4/9

Hence, the value of y is -4/9

4 0
3 years ago
Read 2 more answers
A credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12% . The collected combined i
Natasha_Volkova [10]

Answer: the credit union loaned out $40000 at 6% and $10000 at 12%

Step-by-step explanation:

Let x represent the amount that the

credit union loaned out at the annual rate of 6%.

Let y represent the amount that the

credit union loaned out at the annual rate of 12%.

credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12%. It means that

x + y = 50000

The interest on $x after 1 year would be

6/100 × x = 0.06x

The interest on $y after 1 year would be

12/100 × y = 0.12y

The collected combined interest was $3,600 that year. It means that

0.06x + 0.12y = 3600- - - - - - - - - 1

Substituting x = 50000 - y into equation 1, it becomes

0.06(50000 - y) + 0.12y = 3600

3000 - 0.06y + 0.12y = 3600

- 0.06y + 0.12y = 3600 - 3000

0.06y = 600

y = 600/0.06

y = $10000

x = 50000 - y = 50000 - 10000

x = $40000

5 0
3 years ago
Which is the graph of y= square root x - 5 - 1
professor190 [17]

Answer:

Graph D

Step-by-step explanation:

3 0
3 years ago
Which ordered pair is a solution to the equation y = 6x - 4?
Yuri [45]

Answer:

Here are 3 different pairs (0,4) , (1,2) , (2,8)

Step-by-step explanation:

Hope this helped

7 0
3 years ago
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