Petra fills a small cardboard box with sand. The dimensions of the box are 3 inches by 4 inches by 2 inches. What is the volume
1 answer:
Answer: 24 in³
Step-by-step explanation:
You know that the dimensions of the box are:
3 inches.
4 inches.
2 inches.
As each face of the cardboard box is a rectangle, you can conclude that it has the form of a rectangular prism.
Therefore, to calculate the volume of the box, you must multiply the dimensions given in the problem.
Therefore, you obtain that the volume of the box is:
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We know that, in the US, the average mile per gallon was 25 mpg in 2015. Since we don't have the mile per gallon of the car in our problem, we are going to use that average.
For our first situation, <span>drive 0.3 miles to fill up for $3.59 per gallon:
</span>
<span>We just proved that in our trip, we used 0.012 gallon, and at $3.59 per gallon; we will pay (0.012)(3.59)=$0.04 for that gasoline.
For our second situation, </span><span>drive 1.2 miles to fill up for $3.41 per gallon:
</span>
We just proved that in our trip, we used 0.048 gallon, and at $3.41 per gallon; we will pay (0.048)(3.41)=$0.16 for that gasoline.
We can conclude that is much better to drive 0.3 miles to fill up for $3.59 per gallon than drive <span>1.2 miles to fill up for $3.41 per gallon.</span>
For our first situation, <span>drive 0.3 miles to fill up for $3.59 per gallon:
</span>
<span>We just proved that in our trip, we used 0.012 gallon, and at $3.59 per gallon; we will pay (0.012)(3.59)=$0.04 for that gasoline.
For our second situation, </span><span>drive 1.2 miles to fill up for $3.41 per gallon:
</span>
We just proved that in our trip, we used 0.048 gallon, and at $3.41 per gallon; we will pay (0.048)(3.41)=$0.16 for that gasoline.
We can conclude that is much better to drive 0.3 miles to fill up for $3.59 per gallon than drive <span>1.2 miles to fill up for $3.41 per gallon.</span>
Answer:
see explanation
Step-by-step explanation:
Assuming the fractions are being multiplied
Factorise the denominators of both fractions
x² - 3x - 10 = (x - 5)(x + 2)
x² + x - 12 = (x + 4)(x - 3)
The product can now be expressed as
×
Cancel (x - 5) and (x + 2) on the numerators/ denominators, leaving
=