Mr Sampson fills the family pool with water for the summer.After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.If the relationship between time and water depth is proportional,what is the constant of proportionality?

Answer:

1.33

Step-by-step explanation:

Time is proportional to Depth

Hence:

T ∝ D

T = kD

Where k is the constant of proportionality

After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.

Total number of hours now is 3 + 2 = 5 hours

5 = k × 3 3/4

5 = k × 3.75

k = 5/3.75

k = 1.33

8 0

3 years ago

Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to

Aloiza [94]

Answer:

Step-by-step explanation:

band alone 11

choir alone 17

band and choir alone 4

band and math alone 7

math and choir alone 6

band choir and math 3

math alone 9 from 11+4+10+6+17 + M = 57

2 classes = 4+7+6 = 17

17 students take exactly two classes with Mr. Green

5 0

4 years ago

Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the su

Umnica [9.8K]

The phrase has two parts:

Five times the sum of a number and eleven, divided by three times the sum of the number and eight

Let the number be x. Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall expression will be:

$\frac{5(x+11)}{3(x+8)}$

4 0

3 years ago

E price of a large pizza increased from $21 to $26. what is the percent of increase in the cost of pizza? round to the nearest p

rodikova [14]

Percent increase=increase/original times 100

increase=26-21=5
original=21

so
5/21 times 100=0.23809523809523809523809523809524 times 100=23.809523809523809523809523809524
round
24%

so 24% increase

7 0

3 years ago