Solve the following problem using the order of operations. Then match each operation with its place in the order.
2 answers:
Answer:
1.Subtraction.
2.Division.
3.Multiplication.
4.Addition.
Step-by-step explanation:
You have to follow the P.E.M.D.A.S., this is:
P:Parenthesis first.
E:Exponent next.
M:Multiplication.
D:Division.
(Multiplication and Division is whichever come first, from left to right)
A: Addition.
S: Subtraction.
(Addition and Subtraction is whichever come first, from left to right)
We have 2+(3-9)÷(-3)·4
First we have to do the subtraction (because it's between parenthesis):
2+(-6)÷(-3)·4
Second we have to do the division because it's on the left:
2+2·4
Third we have to do the multiplication:
Fourth we have to do the addition:
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The picture of the calendar is shown in the attached image.
Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3
Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
= 96/2
= 48 candies
Hope this helps :)
Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3
Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
= 96/2
= 48 candies
Hope this helps :)