Whenever you move from the left to right or right to left of any linear equations, you have to switch from plus to minus or multiply to division.
Answer:
(C) 1017.9cm2
Step-by-step explanation:
Area of a circle = πr2
For our question, we have r = 18 cm
Substituting the known value,
π × 18 ^(2)
= 1017.876cm2
The value of π = 3.14159
Answer:
Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books
We can represent this inequality as:
5 + 3x ≤ 50
Step-by-step explanation:
Whenever we are dealing with inequalities, a good trick is to solve the problem using an "equals to" sign and change it to the "inequality" sign at the last minute.
Let us assume that she carries x books.
The weight of her suitcase + the weight of all the 3-pound books must not be more than 50 pounds.
We can represent this inequality as:
5 + 3x ≤ 50
having said this, to find the value of x, which is the maximum number of books she is allowed to carry.
To do this, we replace the inequality sign with the "equals to" sign
5 + 3x = 50
from this, we have that
3x = 45;
x = 45/3
x = 15 books
From this, we can see that Charlene is not allowed to carry more than 15 books.
i.e x ≤ 15
Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books
Answer: 13
Step-by-step explanation:
Answer:
Surface area is found:
Surface Area = 1700 cm²
Step-by-step explanation:
(The cereal box is shown in the ATTACHMENT)
The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.
L = length = 20 cm
H = height = 30 cm
W = Width = 5 cm
Side 1:
A(1) = L×H
A(1) = 20×30
A(1) = 600 cm²
Side 2:
As the measurements of the side at the back of side 1 has the same measurement of side 1. then:
A(2) = 600 cm²
Side 3:
A(3) = L×W
A(3) = 20×5
A(3) = 100 cm²
Side 4:
As the measurements of the side at the back of side 4 has the same measurement of side 4. then:
A(4) = 100 cm²
Side 5:
A(5) = H×W
A(5) = 30×5
A(5) = 150 cm²
Side 6:
As the measurements of the side at the back of side 5 has the same measurement of side 5. then:
A(6) = 150 cm²
Surface Area:
Adding areas of all the sides
A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150
Surface Area = 1700 cm²