In this question, you're solving for a.
Solve for a:
-8(1 - a) =-7 -(1 - 3a)
<em>use the distributive property</em>
-8 + 8a = -7 -(1 - 3a)
-8 + 8a = -7 - 1 + 3a
<em>combine like terms</em>
-8 + 8a = -8 + 3a
<em>subtract 3a from both sides</em>
-8 + 5a = -8
<em>add 8 to both sides</em>
5a = 0
<em>divide both sides by 5</em>
a = 0
Answer: 70 mph
Step-by-step explanation:
389 children and 224 adults were at the pool that day.
Step-by-step explanation:
Cost of one child ticket = $1.75
Cost of one adult ticket = $2.25
Total people = 613
Total receipts worth = $1184.75
Let,
Number of children = x
Number of adults = y
According to given statement;
x+y=613 Eqn 1
1.75x+2.25y=1184.75 Eqn 2
Multiplying Eqn 1 by 1.75

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 0.50

Putting y=224 in Eqn 1

389 children and 224 adults were at the pool that day.
Keywords: linear equation, subtraction
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Answer:

Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to

we have
---> the radius is half the diameter

substitute

step 2
Find the volume of the cone
The volume of the cone is equal to

we have
we have
---> the radius is the same that the radius of the cylinder

substitute

step 3
Find the volume of the plastic object
we know that
The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone
so

assume

