# Can someone please go into detail on how they simplified this expression? Thanks!: 4a - (4a-3)=4a 1(4a 3) Identity property 4a -4a + 3 Distributive property 0 -3 Combine like terms. 3 simplify I really don't get how they got plus 3 Thanks again!

Step-by-step explanation:

4a - (4a-3)

= 4a -1(4a - 3)

= 4a - 4a + 3    <--- Distributing the -1 over the parenthes

= 3       <---- ( as 4a - 4a = 0)

## Related Questions

Why can't you use the product of powers rule to simplifythis expression? Explain.
3^4.2^8

Because the base of this expression is not same.

Calculate 188 meters___________Yards

205.599

Step-by-step explanation:

205.599 yards

Step-by-step explanation:

1 meter = 1.09361 yards

Multiply 188 meters by 1.09361 yards

188 meters = (1.09361 yards) x (188 meters)

= 205.599 yards

This year, a small business had a total revenue of \$81,900 . If this is 26% more than their total revenue the previous year, what was their total revenue the previous year?

total revenue was \$65,000

Step-by-step explanation:

This is 26% more than their total revenue the previous year.

Let the revenue of previous year be 'r'.

r + ( 26% of r ) = \$81,900

r + ( 0.26r ) = 81,900

1.26r = 81,900

r =

r = 65,000

Their total revenue was \$65,000 the previous year.

\$65000 was the total revenue for the previous year.
65000 x .26 = 16900
65000 + 16900 = 81,900

Yes. (See below for explanation.)

Step-by-step explanation:

The number of servings is found by dividing the quantity available by the size of a serving. The quantity of punch is the sum of the quantities of the juices that go into the punch. The serving size of 3/4 cup is the same as 6 ounces, since a cup is 8 ounces. (3/4 × 8 oz = 6 oz)

The quantity available is (64 oz + 28 oz + 76 oz). The serving size is 6 oz. Since the units of numerator and denominator are the same, they cancel, leaving ...

... number of servings = (quantity available)/(serving size)

... = (64 +28 +76)/6 . . . . as shown in the problem statement

_____

It might not be obvious that the above ratio gives the number of servings. However, if you look at the real units, you see how it happens.

Two points located on jk are j (-1,-9) and k (5,3). What is the slope of jk?

Slope = 2

Step-by-step explanation:

Slope =

Slope =

Slope =

Slope = 2

In the given case, we can conclude that The slope of the line JK is 2.

To find the slope of the line that passes through the points J(-1,-9) and K(5,3), we can use the formula: slope =

The slope of a line is a measure of how steep the line is. It describes the rate at which the dependent variable (usually denoted as 'y') changes with respect to a change in the independent variable (usually denoted as 'x').

Plugging in the coordinates, we get:

slope = (3 - (-9)) / (5 - (-1)) = 12 / 6 = 2.

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What is the slope of the line passing through the given points.
(-3,2), (6,-1)

-1/3

Step-by-step explanation:

Since we are given two points, we can find the slope using

m = ( y2-y1)/(x2-x1)

= ( -1-2)/( 6- -3)

= ( -1-2) /( 6+3)

= -3/9

= -1/3