Answer:
D
-3 * (-4) matches, as well as the powers (I guess you wanted to communicate that these are powers, but it would also be correct if these where factors)
Answer:
Three times
Step-by-step explanation:
Given
Figures: Rectangular Prism and Rectangular Pyramid
Let the dimension of the prism be:
Amount of sand used is the volume (V1) and it is calculated using;
Since the pyramid has the same base area and height as the prism, the its dimension would be:
Amount of sand used is the volume (V2) and it is calculated using;
So, we have:
Substitute lwh for V1 in the second equation
Multiply both sides by 3
Reorder
<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>
Subtract 10 and collect terms to get the variable term by itself on the left.
... 4c = 24
Divide by the coefficient of the variable, 4.
... c = 6
The appropriate choice is the second one:
... 6
_____
You don't actually have to sove the equation to find the right answer. You just need to see which answer works.
-6: 5(-6) -(-6) +10 = -14 ≠ 34
6: 5(6) -(6) +10 = 34 . . . . . . . this answer works (you can stop here)
11: 5(11) -(11) +10 = 54 ≠ 34
-11: 5(-11) -(-11) +10 = -34 ≠ 34
Answers:
a. £2,090
b. My answer would be less because my total in euros would be divided by a greater number when converting euros to pounds.
Work for part a:
Apartment: 560•3= 1680 euros
Car: 20.16•15= 302.4 euros
1680+302.4=1982.4
1982.4/1.12 = £x/1
1982.4 / 1.12= £1,770
£1,770 + £320 = £2,090 total
Work for part b:
Example:
(instead of 1.12 I put 2 to see what would happen with a greater number)
1982.4 / 2 = 991.2
991.2 is less than 1,770 (the answer I got with 1.12)
Let me know if you need any clarification! :)
You would need 3 pails of plaster, specifically about 2 pails and a fifth of another but you cant buy a fraction of a pail, so 3 pails are needed.
