Simplify 3(x+2=5).Explain how you found your answer

Nostrana [21]

1. You have a small typo in your answer: cubic inches is a measure of volume not surface area. Since the a TV is basically a rectangular prism, we are going to use the formula for the volume of a rectangular prism to solve this.
$V=whl$
where
$V$ is the volume of the rectangular prism.
$w$ is the width of the base.
$l$ is the length of the base.
$h$ is the height of the prism.

We know from our problem that the television that has a total <span>volume of 75 cubic inches</span>, so $V=75in^3$ . We also know that the length of the base is 7.5 inches and the width is 4 inches, so $l=7.5in$ and $w=4in$ . Lets replace those values in our formula to find $h$ :
$V=whl$
$75in^3=(4in)(h)(7.5in)$
$75in^3=30hin^2$
$h= \frac{75in^3}{30in^2}$
$h=2.5in$

We can conclude that the height of the television is 2.5 inches; therefore, the correct answer is: A. 2.5 inches.

2. To solve this, we are going to use the formula for the surface area of a rectangular prism: $S=2(wl+hl+hw)$
where
$S$ is the surface area of the rectangular prism.
$w$ is the width.
$l$ is the length.
$h$ is the height.

We know form our problem that the dimensions of our prism are:length of 12 inches, a width of 9 inches, and a height of 2 inches, so $l=12in$ , $w=9in$ , and $h=2in$ . Lets replace those values in our formula to find $S$ :
$S=2(wl+hl+hw)$
$S=2[(9in)(12in)+(2in)(12in)+(2in)(9in)]$
$S=2(108in^2+24in^2+18in^2)$
$S=2(150in^2)$
$S=300in^2$

We can conclude that the surface area of the prism is 300 square inches; therefore, the correct answer is: <span>D. 300</span>

4 0

3 years ago

I lb = 453.592 g. What is the mass in kg of a an elephant weighing 5,500 lbs?

melamori03 [73]

Answer:

2494.756kg

*see below regarding significant digits

Step-by-step explanation:

Set up a grid to help you to know whether to divide or multiply. Stack equivalent values one on top of the other in your grid. Arrange them so that the units will cancel out. This helps you to change the units. See image.

*if you are also learning about "significant digits" then you will have to alter the answer to only include the same number of significant digits as in the question.

The exact calculated answer is 2494.756, but there are only two significant digits in the question, so the answer maybe 2500kg instead. If your teacher hasn't taught sig figs then go with the exact answer.

2494.756kg

6 0

2 years ago

Solve the inequaility -24

erma4kov [3.2K]

Answer:

24

Step-by-step explanation:

its just the opposite

5 0

3 years ago

What’s the rational number has -0.875 as its decimal equivalent

Fynjy0 [20]

Get rid of the decimal first.
-0.875*1000
-875/1000=-0.875
Simplify it since both denominator and numerator is divisible by 5
1/5(-875/1000)
-175/200
Still divisible by 5
1/5(-175/200)
-35/40
Keep going
-7/8
There, now it can’t be more simplified.

8 0

4 years ago

Write the equation of a line that is

siniylev [52]

Your answer would be “y=-8”

6 0

3 years ago

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