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evablogger [386]
3 years ago
9

What's 4x + 3 = 2x + 17

Mathematics
1 answer:
Svet_ta [14]3 years ago
7 0

Answer:

x=7

Step-by-step explanation:

Move all terms containing x to the left side of the equation.

2x+3=17

Move all terms not containing x to the right side of the equation.

2x=14

Divide each term by 2 and simplify.

x=7

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The product of two and x plus the quotient of w and five
Nataly [62]

Answer:

2x+w/5

Step-by-step explanation:

(2*x)+(w/5)

2x +w/5

8 0
3 years ago
Which expressions are equivalent to the one below. Check all that apply. 16^x
madam [21]

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3 0
3 years ago
An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W
IceJOKER [234]
The total cost is given by the equation:
C(t) = 45 + 25(h-1) where h is the number of hours worked.

We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.


Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C


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Solve for the first variable in one of the equations, then substitute the result into the other equation.
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