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malfutka [58]
3 years ago
9

Solve for x. −4.5 = 1.5 − x A) −6 B) −3 C) 3 D) 6

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

-4.5 = 1.5 - x         Subtract 1.5 on both sides

-4.5 - 1.5 = 1.5 - 1.5 - x

-6 = -x     Divide -1 on both sides to get "x" by itself

\frac{-6}{-1} =\frac{-x}{-1}    [two negative signs cancel each other out and become positive]

6 = x         Your answer is D

You could have also done (without having to do division):

-4.5 = 1.5 - x       Add x on both sides to make x positive

-4.5 + x = 1.5 - x + x

-4.5 + x = 1.5    Add 4.5 on both sides

-4.5 + 4.5 + x = 1.5 + 4.5

x = 6

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baherus [9]

a)

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Answer for A is (0,-1)

b)

y=2x-3

y=(x-3)/2

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Answer for B is (1,-1)

c)

3x+2y=4

5x-2y=4

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3 years ago
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Step-by-step explanation:

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2 years ago
On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to th
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Answer:

D.  \frac{285}{12.5} and \frac{295}{11.5}.

Step-by-step explanation:

We have been given that one a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon.

The range of miles driven would be between 285 because number of miles in rounded to nearest 10 miles.

The range of gallons of gasoline would be 11.5 because number of gallons of gasoline in rounded to nearest gallon.

To find mileage, we will divide number of miles by number of gallons.

The possible number of gallons of gasoline will be 12.5 gallons for 285 miles to get the minimum number of miles.

Similarly, the possible number of gallons of gasoline will be 11.5 gallons for 295 miles to get the maximum miles.

Therefore, our required range would be \frac{285}{12.5} and \frac{295}{11.5}.  

5 0
3 years ago
What is the value of α<br> 1/2 a + (-7) + 1/2a = 1/3
alexdok [17]
1/2a - 7 + 1/2 a = 1/3
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2/2a = 22/3
a = 22/3
4 0
3 years ago
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Answer:

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Step-by-step explanation:

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