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jenyasd209 [6]
3 years ago
6

A car needs fixing and Abe can fix it for $70 per hour with a $130 part, but Gabe can fix it for $80 an hour with a $40 part. Ho

w long will it take for both Abe and Gabe to cost the same amount?
Mathematics
2 answers:
Shtirlitz [24]3 years ago
8 0
For the same amount set up two equations set equal to each other.
$70h + 130 = 80h + $40
Subtract 80h from both sides
-10h + 130 = 40
subtract 130 from both sides
-10h = -90 divide both sides by -10
h = 9 hours

CHECK
70(9) + 130 = $760 
80(9) + 40 = $760
Shkiper50 [21]3 years ago
8 0

Answer:

9 hours

Step-by-step explanation:

Let for x hours the amount charged by Abe and Gabe is same.

Given,

In fixing by Abe,

Fixed cost  = $ 130,

Additional cost per hour = $ 70,

So, the total charge for x hours = 130 + 70x

In fixing by Gabe,

Fixed cost = $ 40,

Additional cost per hour = $ 80,

So, the total charge for x hours = 40 + 80x

For same charge,

130 + 70x = 40 + 80x

70x = 40 + 80x - 130

70x - 80x = -90

-10x = -90

⇒ x = 9

Hence, it will take 9 hours for both Abe and Gabe to cost the same amount

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If you need further help let me know, hope this helped you.

6 0
3 years ago
The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is
Firlakuza [10]
Part A;
There are many system of inequalities that can be created such that only contain points C and F in the overlapping shaded regions.

Any system of inequalities which is satisfied by (2, 2) and (3, 4) but is not stisfied by <span>(-3, -4), (-4, 3), (1, -2) and (5, -4) can serve.

An example of such system of equation is
x > 0
y > 0
The system of equation above represent all the points in the first quadrant of the coordinate system.
The area above the x-axis and to the right of the y-axis is shaded.



Part 2:
It can be verified that points C and F are solutions to the system of inequalities above by substituting the coordinates of points C and F into the system of equations and see whether they are true.

Substituting C(2, 2) into the system we have:
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Part C:
Given that </span><span>Natalie can only attend a school in her designated zone and that Natalie's zone is defined by y < −2x + 2.

To identify the schools that Natalie is allowed to attend, we substitute the coordinates of the points A to F into the inequality defining Natalie's zone.

For point A(-3, -4): -4 < -2(-3) + 2; -4 < 6 + 2; -4 < 8 which is true

For point B(-4, 3): 3 < -2(-4) + 2; 3 < 8 + 2; 3 < 10 which is true

For point C(2, 2): 2 < -2(2) + 2; 2 < -4 + 2; 2 < -2 which is false

For point D(1, -2): -2 < -2(1) + 2; -2 < -2 + 2; -2 < 0 which is true

For point E(5, -4): -4 < -2(5) + 2; -4 < -10 + 2; -4 < -8 which is false

For point F(3, 4): 4 < -2(3) + 2; 4 < -6 + 2; 4 < -4 which is false

Therefore, the schools that Natalie is allowed to attend are the schools at point A, B and D.
</span>
7 0
3 years ago
What is the value of this expression?<br> 5x (8 – 3) + 2
ivolga24 [154]

Answer:

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Step-by-step explanation:

5 x (8 - 3) +2

5 x (5) + 2

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Hope that helps!

4 0
3 years ago
Read 2 more answers
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