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lawyer [7]
3 years ago
5

Jack mows the lawns to earn money. he charges a flat fee of $20 for showing up plus $15 for each hour it takes him to mow the la

wn. Write an equation that models this situation for the money Jack makes Y in terms of the hours he works X
Mathematics
2 answers:
coldgirl [10]3 years ago
7 0

Answer:

y = 15x + 20

Step-by-step explanation:

He charges a flat rate of $20, so any total for hours worked will have an additional $20 added to it.  

The 15x represents his earnings per hour.  He makes 15 per every hour worked, x represents the number of hours worked

svetlana [45]3 years ago
5 0
Y = 15x + 20
........
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In the diagram below segment DEF is shown(since all three letters are shown, they are collinear). If DE=3x+2, EF= x+5, and DF= 2
amm1812

The value of x is 4.

By Geometry, we know that line segment DF = DE + EF, which is equivalent to:

DF = 3\cdot x + 2 + x + 5

DF = 4\cdot x + 7 (1)

Now we solve algebraically the resulting expression.

If we know that DF = 23, then we solve the equation for x:

4\cdot x + 7 = 23

4\cdot x = 16

x = 4

The value of x is 4.

We kindly invite to see this question on line segments: brainly.com/question/23297288

6 0
3 years ago
The cost y (in dollars) to rent a lane at the bowling alley is proportional to the number x of hours that you rent the lane. It
Alika [10]

Answer:

a) y = 9x

b) For every increase of 1 hour the price to rent the lane increases by $9.

c) $27

Step-by-step explanation:

a) Since it costs $18 for 2 hours we can infer that for every 1 hour it costs $9.

So, the equation would look like this:

y = 9x

b) In this context, for every increase of 1 hour the price to rent the lane increases by $9. Like the question gave us, the price for 2 hours cost $18.

c) Plug 3 into the equation:

y = 9(3)

y = 27

Therefore, it costs $27 to rent the lane for 3 hours.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

5 0
3 years ago
Read 2 more answers
Please I need help on this question, A line passes through (6,3), (8,4), and (n,-2). Find the value of n.
Vika [28.1K]

Answer:

n= -4

Step-by-step explanation:

First we have to find the equation of line which passes through (6,3) and (8,4).

Then we have to pass this line through the point (n , -2).

we know, equation of line passing through (x1,y1) and (x2,y2) is

\frac{x-x1}{x1-x2}=\frac{y-y1}{y1-y2}

So, the equation of line passing through (6,3) and (8,4) is

\frac{x-6}{6-8}=\frac{y-3}{3-4}

or, \frac{x-6}{-2} =\frac{y-3}{-1}

multiplying both sides by  -2

x-6=2(y-3)

or, x-6=2y-6

or, x-2y=6-6

or, x-2y=0


Now, we have to pass this line through  (n,-2)

So, using the point in the line, that is using  x=n  , y=-2

we get

n-2(-2)=0

or, n+4=0

or, n=-4

6 0
3 years ago
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What is the answer to 2(x+4)-3
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

7 0
3 years ago
The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1,4) and
andrew-mc [135]

Answer:

<em>y = - x + 5 </em>

Step-by-step explanation:

A(1, 4)

B(4, 1)

m_{AB} = \frac{1-4}{4-1} = - 1

y - 1 = - 1 ( x - 4 )

<em>y = - x + 5</em>

6 0
3 years ago
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