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anastassius [24]
3 years ago
12

Jed bought a generator that will run for 2 hours on a liter of gas. The gas tank on the generator is a rectangular prism with di

mensions 20 cm by 15 cm by 10 cm, as shown. If Jed fills the tank with gas, how long will the generator run? Show how you arrived at your answer. [1000 cm 3= 1 liter] Explain your answer.
Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer:

The generator will run for 6 hours.

Step-by-step explanation:

First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.

Area of any prism = height * width * length

Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed

I am told the important info that <u>1,000 cm cubed = 1 liter </u>

Therefore, 3,000 cm cubed = 3 liters

I am also told that the generator will run for 2 hours on 1 liter of gas

Lets make a ratio table:

Hours the generator will run for : liters of gas

                                                   2 : 1

                                                   6 : 3

the generator will run for 6 hours.

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Using it's concept, it is found that the sample proportion for this population is of 0.4.

  • The estimate of the <em>sample proportion for a population</em> is given by the <u>number of desired outcomes divided by the size of the sample</u>.

In this problem:

  • 1,599 of those surveyed responded in favor of the park.
  • The sample size is of 4,000.

Hence:

p = \frac{1599}{4000} = 0.4

The sample proportion for this population is of 0.4.

A similar problem is given at brainly.com/question/14510808

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2 years ago
Which method can't you use to solve x²+7x=0.
scoray [572]

Answer:

Factoring

Step-by-step explanation:

x^2 + 7x = x(x + 7) = 0

So

x = 0 or x = -7

6 0
3 years ago
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
xxTIMURxx [149]

Answer:

Option A: b must equal 7 and a second solution to the system must be located at the point (2, 5)

Step-by-step explanation:

<u><em>The complete question is</em></u>

Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Equation 1: (x – 3)2 = y – 4

Equation 2: y = -x + b

In order for Tom’s thinking to be correct, which qualifications must be met?

A: b must equal 7 and a second solution to the system must be located at the point (2, 5).

B: b must equal 1 and a second solution to the system must be located at the point (4, 5).

C: b must equal 7 and a second solution to the system must be located at the point (1, 8).

D: b must equal 1 and a second solution to the system must be located at the point (3, 4).

step 1

Find the vertex of the quadratic equation

The general equation of a vertical parabola in vertex form is

y=a(x-h)^2+k

where

(h,k) is the vertex

we have

(x-3)^{2}=y-4

so

y=(x-3)^{2}+4

The vertex is the point (3,4)

step 2

Find out the value of b in the linear equation

we know that

If the vertex is a solution of the system of equations, then the vertex must satisfy both equations

substitute the value of x and the value of y of the vertex in the linear equation

y=-x+b

For x=3, y=4

4=-3+b\\b=7

so

y=-x+7

step 3

Find out the second solution of the system of equations

we have

y=(x-3)^{2}+4 -----> equation A

y=-x+7 ----> equation B

solve the system of equations by graphing

Remember that the solutions are the intersection points both graphs

The second solution of the system of equations is (2,5)

see the attached figure

therefore

b must equal 7 and a second solution to the system must be located at the point (2, 5)

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Answer:

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Step-by-step explanation:

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165 x 0.1 = 16.5

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the sequence is arithmetic because it's incrementing by a constant ratio of -4

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