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Daniel [21]
2 years ago
14

TWO water hoses are pouring water into two separate pools. Alex measures the volume of the water in each pool after different am

ounts of
time and records the information in the two tables below.
Hose A
Hose B
Time (min)
Volume (liters)
Time (min)
Volume (liters)
2
36,7
2
42.8
3
55.05
4
85.6
5
91.75
7
126
8
146.8
10
165
a. For each hose, is there a proportional relationship between the time a hose has been running and the volume of water in the pool?
Explain your reasoning for each hose.
Mathematics
1 answer:
Mashcka [7]2 years ago
7 0
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Heather has divided ​$5400 between two​ investments, one paying 8​%, the other paying 5​%. if the return on her investment is ​$
Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided ​$5400 between two​ investments. We can represent this information as:

x+y=5400...(1)

The return on her investment is ​$345.  

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

(\frac{8}{100})x+(\frac{5}{100})y=345...(2)

0.08x+0.05y=345...(2)

We will use substitution method to solve our system of equations. From equation (1) we will get,

x=5400-y

Substituting this value in equation (2) we will get,

0.08(5400-y)+0.05y=345

432-0.08y+0.05y=345

-0.08y+0.05y=345-432

-0.03y=-87

\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}

y=2900  

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

x+2900=5400

x+2900-2900=5400-2900

x=2500

Therefore, Heather has invested an amount of $2500 at 8%.

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3 years ago
Change each fraction or mixed number to a percent. a. 2/5 b. 7/20 c. 1 11/16 d. 14 1/4
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Answer:

a. 20% b. 35% c. 1.6875 d. 14.25

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2 years ago
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a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit.how many 1/4 unit cubes do
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12

Step-by-step explanation:

3 divided by 1/4 = 3 x 4 = 12

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2 years ago
5+(-5)=0 identify the property
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Answer: Additive Inverse

Step-by-step explanation: The Additive Inverse tells us that if we add

a number and the opposite of that number, the result will be 0.

4 0
3 years ago
Find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126
True [87]

Answer:

Step-by-step explanation:

let the numbers be x,x+1,x+2   (x<x+1<x+2)

2x+3(x+2)=126

2x+3x+6=126

5x=126-6

5x=120

x=120/5=24

numbers are 24,24+1,24+2

or 24,25,26

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