Answer:
1. 55.271 inches/lb
2. 3.075 inches/lb
3. The denser one is the pine, so it would be heavier.
Step-by-step explanation:
1. density of the pine log (which is a cylinder)
We need the weight/mass and the volume.
V(cylinder) = πr^2 * height
= πr^2 = π(5^2) = 25π = 78.54
= 78.54 * 30 = <u>2356 cubic inches</u>
The weight is 42.63.
Density = mass/volume = 2356/42.63 = <u>55.271 inches/lb</u>
2. density of the oak board (which is a rectangular prism)
We need the weight/mass and the volume.
V(prism) = l*w*h
= 5.5*1.5*3 = <u>24.75 cubic inches</u>
The weight is 8.05.
Density = mass/volume = 24.75/8.05 = <u>3.075 inches/lb</u>
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3. Picture a box made out of stone and a box made out of cardboard. Same dimensions, but the stone one would be way heavier because stone is denser.
First, determine the difference between the amount Percy paid and the price of the basketball. That is, $24.10 - $22.99 = $1.11. Divide this value by the price of the basketball and multiply the quotient by 100% to get the tax rate.
($1.11 / $22.99) x 100% = 4.8%
Thus, the sales tax is approximately equal to 4.8%.
Usually, you CAN'T turn a fraction into a whole number.
You can ONLY do it when the top number is a multiple
of the bottom number. Otherwise, it's not possible.
IF the top number is a multiple of the bottom number,
then take the bottom number, and divide both the top
and the bottom of the fraction by it. Then the top number
will be the whole number that's equal to the original fraction.
Examples:
12 / 5 . 12 is not a multiple of 5 , so there is
NO whole number that's equal to 12/5 .
5 / 12 . Same thing. 5 is not a multiple of 12 .
12 / 3 . 12 is a multiple of 3 .
Divide top and bottom by 3 .
Then you have 4 / 1 .
4 is the same as 12/3 .
the answer is 78
Step-by-step explanation:
10×7+9x-1=78
