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Maru [420]
2 years ago
13

What is Seven less than a number is the same as 2 more than twice the number as a equation?

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
5 0
2
n
−
7
=
19
Explanation:
Well first we should look at the part that says "twice a number"
This number can be anything so let's assign a variable to it
Let
n
=
a number
And we also see at the end "twice a number equals 19"
So we get
2
n
=
19
Then we see that "Seven less than"
2
n
all equals
19
So we get
2
n
−
7
=
19
Now if you would want to solve this equation you first add
7
to both sides and we get
2
n
=
26
Then we divide both side by
2
So
n
=
13
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Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in
luda_lava [24]

From the given problem statement alone, we can say that the equation relating the area of the lawn mowed and the earnings has a linear relationship. That is because there is a constant increase in the earnings per area which is $1 per 1000 square feet.

Therefore the equation must be in the form of:

y = m x + b

where,

y = is the total earnings

m = is the fee per area = 1 / 1000

x = is the area of the lawn

b = is the fixed fee = 30

 

Therefore the equation becomes:

y = 0.001 x + 30

 

Rewriting this in terms for x since we are to find the area:

x = (y – 30) 1000

 

when y = 204

x = (204 – 30) 1000 = 174,000 square feet

 

when y = 344

x = (344 – 30) 1000 = 314,000 square feet

 

when y = 450

x = (450 – 30) 1000 = 420,000 square feet

 

when y = 482

x = (482 – 30) 1000 = 452,000 square feet

 

when y = 504

x = (504 – 30) 1000 = 474,000 square feet

8 0
3 years ago
M is the midpoint of CF (line over it) for the points C(3,4) and F(9,8). Find MF
elena55 [62]
(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) \\(\frac{3 + 9}{2}, \frac{4 + 8}{2}) \\(\frac{12}{2}, \frac{12}{2}) \\(6, 6)

Midpoint of CF: (6, 6)
3 0
3 years ago
I need help with the equation I know what the value of x is . Also their is only one equation .
Sindrei [870]
40+90=130
180-130=50
50+130=180
x=130
50+x=180
3 0
3 years ago
Given the line below.
Elza [17]

The slope of that line is -1, so m = -1.

The point you were told to use is (-2,2), so point-slope form starts as:

   ( y - 2 ) = -1 • ( x - (-2) )

But we'd clean up that x-(-2) to be x+2.

   y - 2 = -1 ( x+2 )

7 0
3 years ago
1) R is the midpoint of PS <br>PR=6x+16 <br>RS=12x-32 determine the following <br>X=<br>RS=<br>PS=
jarptica [38.1K]

Answer:

x=8,RS=12*8-32=64,PR=6*8+16=64

Step-by-step explanation:

PR=PS

6x+16=12x-32

6x=48

x=8

3 0
3 years ago
Read 2 more answers
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