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3 years ago

10=-2c+22 (algebra: solve for c) grade lvl. 7

Mathematics

1 answer:

weqwewe [10]3 years ago

6 0

Answer:

c = 6

Step-by-step explanation:

To solve we must isolate c:

10 = -2c + 22, turns into -12 = -2c because we must move the 22 over to the left side, and since it is positive, we must do the opposite operation
-12 = -2c, then turns into 6 = c, because we need to get the c by itself. To do so we divide both sides by -2, and when two negative numbers are divided together, the resulting number is positive

I hope this helps!

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Which of the following statements is true?

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Answer:

D: Point E is the midpoint of segment AC

Step-by-step explanation:

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3 years ago

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

NARA [144]

Answer:

Slope of this line is given by:

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Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

i.e. total time taken is 2 hours.

Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = $\frac{1}{2}$ acre i.e. 0.5 acre

Also, slope of a line is given as:

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here $y_2 - y_1 = 1$

$x_2 - x_1 = 2$

As per formula:

$m = \dfrac{1}{2} = 0.5$

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

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