Using pythagorean's theorem
a^2+b^2=c^2
a being 3
b being 4
we'll get
9+16=25
where 5 is the hypotenuse and also c.
c^2 = 5^2
So let's start out by labeling Ethan as X
Since 85 is 1/3 of what Ethan drove, that means Ethan drove 3 times of 85.
85= (3x) -21
85 -21 = 3x
60=3x
20 = x
Simplifying
10 + 5x = 5x + 10
Reorder the terms:
10 + 5x = 10 + 5x
Add '-10' to each side of the equation.
10 + -10 + 5x = 10 + -10 + 5x
Combine like terms: 10 + -10 = 0
0 + 5x = 10 + -10 + 5x
5x = 10 + -10 + 5x
Combine like terms: 10 + -10 = 0
5x = 0 + 5x
5x = 5x
Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 0
Solving
0 = 0
Answer: 0 solutions
Answer:
she has 4 quarters because 4 quarters equals $1 and she has 12 nickles because 12 × 5 =60
Answer:
See explanation
Step-by-step explanation:
Given:
18m + 42n
These two variables are not the same, so we can't add the two terms. However, we can factor out a number out of this expression.
The GCF of 18 and 42 is 6.
We can draw 6 out of this expression to get 6(3m + 7n).
This is an equivalent expression.
We can also draw 2 out to get 2(9m + 21n).
We can also draw 3 out to get 3(6m + 14n).
We can also draw 1/2 out to get (1/2)(36m + 84n).
There are endless possibilities, but these are a few. You get the idea!
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