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frosja888 [35]
3 years ago
10

Luke earns $50 for doing his chores each month. He washes cars in his neighborhood for $15 each. Last month he earned a total of

$110. How many cars did he wash?
1. Define your variable, what is unknown?
2. Write an Equation that represents the situation.
3. Solve for the number of cars.
4. Why wouldn’t it make sense to start the table a graph to represent this at (-1,-1)
Mathematics
1 answer:
Furkat [3]3 years ago
8 0

Answer:

He washed 4 cars.

Step-by-step explanation:

1. The variable that was unknown x amount of cars washed.

2.The equation I used was 110-50=15x

3. To solve this you subtract the 50$ from 110$ you get sixty dollars you do that to take out what he earned for his allowance. Then your equation is 60=15x so you divide each side by 15 and when you do that x=4

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What number should {(-5/3)^3}^-3 be Multiply to obtain (-3/5)^4.​
vovikov84 [41]

<u>Given</u><u> info</u><u>:</u><u>-</u><u> </u>What number should [(-5/3)³]^-3 be multiply obtain (-3/5)⁴ ?

<u>Explanation</u><u>:</u><u>-</u>

Given number = [(-5/3)³]^-3

Let the required number be X

On multiplying [(-5/3)³]^-3 with X

⇛ [(-5/3)³]^-3 × X

According to the given problem

The result = (-3/5)⁴

⇛ [(-5/3)³]^-3 × X = (-3/5)⁴

⇛ (-5/3)^(3×-3) × X = (-3/5)⁴

Since (a^m)^n = a^mn

⇛ (-5/3)^-9 ×X = (-3/5)⁴

⇛(-3/5)⁹ ×X = (-3/5)⁴

Since a^-n = 1/a^n

⇛X = (-3/5)⁴/(-3/5)⁹

⇛X = (-3/5)^(4-9)

Since a^m / a^n = a^(m-n)

⇛ X = (-3/5)^-5

⇛ X = (-5/3)⁵

Since a^-n = 1/a^n

Therefore, X = (-5/3)⁵

<u>The required number for the given problem is (-5/3)</u><u>⁵</u><u>.</u>

5 0
3 years ago
Plzzzzzzzzz help
tangare [24]

Answer:

Step-by-step explanation:

a). By applying Pythagoras theorem in right triangle ABC,

AC² = AB² + BC²

20² = 16² + BC²

BC = \sqrt{400-256}

     = 12

Therefore, another leg of the triangular base = 12 cm

Area of the triangular base ABC = \frac{1}{2}(\text{Base})(\text{Height})

                                                      = \frac{1}{2}(16)(12)

                                                      = 96 cm²

Volume of a triangular prism = Area of the triangular base × height

                                       960 = 96 × b

                                          b = 10 cm

b). Area of the triangle ABC = 96 cm²

7 0
3 years ago
9. The value of the 8th term is 78. The sequence is increasing by 10 at each step. Explicit equation: y = 10x - 2 Recursive: now
Mamont248 [21]
The 20th term is 198
5 0
4 years ago
(-26, -37) and (-32, -61) what is the slope of the line in simplified form ?
Ratling [72]
Answer: 1/4

Explanation: Slope formula is (y1-y2)/(x1-x2)

Just plug in those numbers from the data points and you will get your answer.

-26-(-32) = 6

-37-(-61) = 24

6/24 = 1/4





7 0
3 years ago
PLS HELP !!
ElenaW [278]

Answer:

-6 <= g < 3

Step-by-step explanation:

-6 <= g < 3

4 0
3 years ago
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