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gladu [14]
3 years ago
15

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.How

long will it take for both Abe and Gabe to cost the same amount?
Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer:

9 hours

Step-by-step explanation:

Abe's charge  =   Gabe's charge

$130+($70/hr)h = $40+($80/hr)h

Then 130 + 70h = 40 + 80h, or

           90           =   10h, or h = 90/10 = 9

When 9 hours have passed, the amount charged by each person will be temporarily equal.

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A community hall is in the shape of a cuboid the hall is 40m long 15m high and 3m wide. 10 litre paint covers 25m squared costs
Darina [25.2K]

Answer:

Total cost for tiles and paints is $924.  

Step-by-step explanation:

We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.

The paint will be required for 4 walls and ceiling.

Let us find area of walls and ceiling.

\text{Area of walls and ceiling}=(2*40*15)+(2*3*15)+(40*3)

\text{Area of walls and ceiling}=1200+90+120

\text{Area of walls and ceiling}=1410

Therefore, the area of walls and ceiling is 1410 square meters.

Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,  

\text{ The total painting cost}=10*(\frac{1410}{25})

\text{ The total painting cost}=10*56.4=564

Therefore, the total painting cost is $564.  

Tiles will be required for floor. Let us find the area of floor.

\text{Area of floor} = 40*3\text{ square meters}

\text{Area of floor} =120\text{ square meters}

Given: 1m squared floor tiles costs $3. So,  

\text{Total cost for tiles} = 3*120 = 360

Therefore, the total tiles cost is $360.

Now let us find combined total cost of tiles and paint.

\text{Combined total cost}= 564+360 = 924

Therefore, the combined total cost of tiles and paint is $924.

6 0
3 years ago
Joe is using the function E= 1.89x + 2.89y to minimize his expenses when selling
stepan [7]

Answer:

(d)\ \$13.34

Step-by-step explanation:

Given

E = 1.89x + 2.89y -- Objective function

Constraints:

2x + y > 10

x + 2y > 8

x,y>0

Required

Minimum value of E

To do this, we apply graphical method

See attachment for plots of 2x + y > 10 and x + 2y > 8

From the attached plot, the point that satisfy x,y>0 is:

(x,y) = (4,2)

So, we have:

E = 1.89x + 2.89y

This gives:

E =1.89 * 4 + 2.89 * 2

E =7.56 + 5.78

E =13.34

7 0
2 years ago
Someone please help me
mixas84 [53]

Answer:

4) A) 89

5) B) 65

5 0
3 years ago
State the restrictions on the domain.
mihalych1998 [28]

we know that, denominator ≠ 0

16y² ≠ 0

y ≠ 0 is excluded value.

8 0
2 years ago
Each point has been reflected over the x-axis or y-axis.
Amanda [17]

The reflection is

  • x-axis
  • x-axis
  • y-axis

<h3>What is reflection over axis?</h3>

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

For reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

and, for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y value the same.

So, by considering the above value rules the reflection of the given points as follows over respective axis.

E(7, 1) ⇒ (7, -1)

Here, the reflection is over x-axis because the y value is changing

F(-3, 5) ⇒ (-3, -5)

Here, the reflection is over x-axis because the y value is changing

G(6, -2) ⇒ (-6, -2)

Here, the reflection is over y-axis because the x value is changing.

Learn more about this concept here:

brainly.com/question/15175017

#SPJ1

4 0
2 years ago
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