All categories

2 years ago

The graph below shows the water level of a tank that is emptying over time.

Mathematics

1 answer:

Allisa [31]2 years ago

3 0

From inspecting the graph, you can identify the y-intercept and the slope of the line shown.

The y-intercept is 200 gallons.
The slope is

75-200
m = ------------- = -12.5 gallons/minute
10 - 0

Thus, y = 200 gallons - [12.5 gallons/minute ]t

To answer the 2nd question, let t = 12 minutes and calculate y(12).

To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.

You might be interested in

Since the beginning of the year, 1982 people have come into a blood bank to donate blood and 340 were found to have high blood p

Alecsey [184]

Answer:

0.1715

Step-by-step explanation:

From previous experience 340/1982 is the past probability that a person has high blood pressure.

The division of that leads to 0.1715 that the next person will have high blood pressure. That number is roughly (very roughly) 1 person in 6. So if 6 people come in 1 will have high blood presure.

4 0

2 years ago

The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = $x$

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = $12+x$

As we know:

$Area\ of\ rectangle=length\times breadth$

$85=(12+x)x\\\\85=12x+x^{2} \\$

Subtracting both sides by 85

$x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5$

As width can never be in negative, hence width of a rectangular wall of a barn = $x$ = 5 feet

Length of a rectangular wall of a barn = $12+x=12+5=17\ feet$

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

4 0

2 years ago

Can you help me ( 25 points) asap

BartSMP [9]

A.
estimate: 8/5
quotient:1.6

b.
estimate: 7
quotient: 7

c.
estimate: 15/2
quotient:7.5

3 0

2 years ago

Read 2 more answers

**Write them into an inequality!**

Alex73 [517]

1. 12in (1ft)+X=28in
2. 6in.+X=42
3. 170.5sq.ft./15.5=x
4. 120ft/12ft=x10sec.

5 0

2 years ago

What is the value of x?

blsea [12.9K]

Since these are supplementary angles (two angles which sum to 180°) we can say:

4x+x=180 combine like terms on left side

5x=180 divide both sides by 5

x=36°

3 0

2 years ago