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Zepler [3.9K]
3 years ago
5

Put the following equation of a line into slope-intercept form, simplifying al

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Simplifying

2y + -3x = 18

Reorder the terms:

-3x + 2y = 18

Solving

-3x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-3x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

-3x + 0 = 18 + -2y

-3x = 18 + -2y

Divide each side by '-3'.

x = -6 + 0.6666666667y

Simplifying

x = -6 + 0.6666666667y

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Elena has 12 pieces of banana bread. She gives an equal amount of banana bread to five friends. How many pieces of banana bread
lina2011 [118]

<span>Since Elena has 12 bananas and 5 friends we divide 12 by 5 and we will get 2.4 , 2.4 in mixed fraction form is 2 and 2/5. </span>

<span>Thus Elena gives 2 and 2/5 banana bread  to his friends.</span>

Hope this answer will be a good h<span>elp for you.</span>

4 0
4 years ago
The Hydro water department has a monthly service charge of $10.10 and a volume charge of $1.58 for every 100 cubic feet of water
cluponka [151]

Answer:

B. a decrease in their water bill of $3.16.

Step-by-step explanation:

Monthly service charge =$10.10

Volume charge = $1.58 for every 100 cubic feet of water.

Total monthly cost = 1.58x + 10.10

If the Johnson family used 200ft^3 less water this month than last month, then they can expect a reduction in their bill by the Volume charge for  200ft^3.

Volume Charge per 100ft^3 of water = $1.58

Therefore: Volume Charge for 200ft^3 of water = 2 X $1.58=$3.16

Therefore, the Johnson family can expect a decrease in their water bill of $3.16.

3 0
3 years ago
A city planner needs to make a model of the city. In real life, the city courthouse is 60 feet tall. A building across the stree
horsena [70]
I got 1.33 (On a calculator)
8 0
3 years ago
find the equation of the line using the slope formula. Write the final equation using the slope-intercept form. the x- intercept
Roman55 [17]

Answer:

y=- 4x + 4

Step-by-step explanation:

The slope formula for a straight line is:

y=mx+b

Where, 'm' is the slope and 'b' is the y-intercept.

To find the x-intercept of a line, we need to equal 'y' to zero, and then solve for 'x'. In this case we know that the x-intercept is 1, so we have the point (x1, y1)=(1,0). We are given a second point which is: (x0, y0)=(-2, 12).

To find the slope, we use the following formula:

m = \frac{y1-y0}{x1-x0} = \frac{0-12}{1-(-2)} = -4

Now, The equation of the line is: y - y0 = m(x-x0). Then, substituting the values of 'm', 'x0' and 'y0' we have that:

y - 12 = -4(x+2) ⇒ y = -4x-8 + 12 ⇒ y=- 4x + 4

The equation of the line using the slope-intercept form is:

y=- 4x + 4

7 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST!
Marizza181 [45]

Answer:

1/2

Step-by-step explanation:

There are a total of 20 sections on the board. And a dart hit that the section labeled 20 a total of 5 times, throwing a total of 10 darts. So, if you take these two numbers and and put them into the fraction: 5/10 and then simplify it you will get 1/2. Hope this helps.

7 0
3 years ago
Read 2 more answers
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