Explanation:
5(y+3)-11=-y-6 Given
5(y+3)=-y+5 . . . . addition property of equality (11 is added)
5y+15=y+5 . . . . . distributive property (5 is distributed)
5y=-y-10 . . . . . . . addition property of equality (-15 is added)
6y=-10 . . . . . . . . . addition property of equality (y is added)
y=-5/3 Division Property of Equality/Reduce
You would have 4 left after dinner: (.875)(32)=28 so you have 28 completed before dinner and would have 4 left to do.
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Greetings!</h2>
Answer:
x = 67.5
Step-by-step explanation:
Because AB and NP lines are parrallel, we can find out the scale factor by dividing size MA by MN.
This works because you find out what the MA size has to be multiplied to to get to MN, which will also work in reverse to find angle MB from MP.
71.5 - 22 = MA = 49.5
71.5 ÷ 49.5 = 
So to get to line MP length, line MB had to be multiplied by
to get 97.5
The reverse of this is dividing 97.5 by
:
97.5 ÷
= 67.5
So x = 67.5
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Answer:
14.52 seconds.
Step-by-step explanation:
We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation
. We are asked to find the time, when the rocket will hit the ground.
We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute
in our given equation as:

Let us solve for x using quadratic formula.








Upon rounding to nearest 100th of second, we will get:

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.
Answer:
10 to the power 3
Step-by-step explanation:
10 to the power 6 divided by 10 to the power 3 is 10 to the power 3.