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Zina [86]
1 year ago
6

A large tank of sterile water holds 200 gallons . It is leaking at an unknown rate. At 4:30 pm the tank had 137 gallons and at 7

:00 pm the tank had 115 gallons. Assuming the tank was full when the leak began , write a function to estimate how much water is in the tank. now find the time at which the tank began leaking and the time at which the tank will be empty.
Mathematics
1 answer:
skelet666 [1.2K]1 year ago
8 0

Answer:

1. 8.8 gallons per hour

2. 9:20 am

3. 8:04 am

Step-by-step explanation:

The tank lost 22 gallons of water in 150 minutes (2.5 hours)

This is a rate of 0.14666 gallons per minute or 8.8 gallons per hour

The function: 200 - 0.147(x)

So at 4:30 pm, the tank lost 63 gallons. So at a rate of 8.8 gallons per hour, that means it has been leaking for 7.16 (.16 hours = 9.6 minutes) hours.

So it has been leaking since 9:20 am.

In order for it to completely empty, it needs to drain 115 gallons of water.

At a rate of 8.8 gallons per hour, that means it needs 13.068 hours or 13 hours and 4 minutes.

So it will be empty at 8:04 am.

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3 years ago
At Gwen's Beading Boutique, there are 54 plastic beads and 18 metal beads on clearance. What percentage of the beads on clearanc
ale4655 [162]


54+18=72

54/72=75%

75% is also 3/4 or .75

4 0
3 years ago
Read 2 more answers
How to write the algebraic expression (2)(t) in words
Jlenok [28]

Answer:

"The number 8 multiplied by a number. "

"The product of 8 and a number"

"A number times the number 8"

Step-by-step explanation:

This is a long one,

You are going to write the expression using "key words"

Addition: sum, more than, plus, increase, add, older than.

Examples: 4+7

"The sum of 4 and 7"

"7 more than the number 4"

"The number 4 increased by 7"

Etc....

Subtraction: minus, less, subtract, decrease, younger than, and lowered.

Example: 9 - 2

"The number 9 decreased by 2"

"The number 2 younger than 7"

"The number 7 minus 2"

Etc....

Multiplication: times, product, twice, doubled, multiplied, and of.

Example: 4 × 5

"The number 4 multiplied by 5"

"The product of the numbers 4 and 5"

"5 times the number 4"

Etc...

Division: divided by and divided into and Quotient. Pay close attention to the order in which it is written.

Examples: 6 / 3

"The number 6 divided by 3"

"3 divided into the number 6"

Or

"The quotient of the numbers 3 into 6"

Ect...

Expressions with More Than One Operation example:

8y + 14 ...

You could say:

The sum of 8 times a number and 14.

When referring to unknown number i.e. x, y, n, v... you may refer to it a "a number"

Hmmm, best way I can describe it. :)

7 0
3 years ago
Use the simple interest formula to find the interest earned for $347 at 9.63% for 5 years
san4es73 [151]

Answer:

$167.08

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9.63%/100 = 0.0963 per year,

then, solving our equation

I = 347 × 0.0963 × 5 = 167.0805

I = $ 167.08

The simple interest accumulated

on a principal of $ 347.00

at a rate of 9.63% per year

for 5 years is $ 167.08.

8 0
2 years ago
15s-100=350 Can someone answer please.
seraphim [82]

Answer:

15s=350+100

15s=450

s=450/15

s=30

Hope it helps:-)

3 0
3 years ago
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