1) What is the solution of the inequality? 42-8

a mechanic worked 20 hours. another mechanic worked 15 hours. together they charged a total of $1950. what was the rate charged

Natasha_Volkova [10]

Answer: The mechanics both charged $70 and $45 per hour respectively

Step-by-step explanation: We shall start by calling the mechanics hourly rates x and y respectively. So if one worked for 20 hours and charged 20 times x dollars, and the other one worked for 15 hours and charged 15 times y dollars, totalling 1950 dollars, we can write the following expression,

20x + 15y = 1950

Also, if the sum of the two rates was 115 dollars, that means for working for an hour only, they both would earn

x + y = 115

We now have a pair of simultaneous equations

20x + 15y = 1950 --------(1)

x + y = 115 ------------------(2)

We shall use the substitution method for this problem.

From equation (2), make x the subject of the equation

x = 115 - y

Substitute for the value of x into equation (1)

20(115 - y) + 15y = 1950

2300 - 20y + 15y = 1950

By collecting like terms we now have

2300 - 1950 = 20y - 15y

(Note that when a negative value crosses to the other side of the equation, it becomes a positive value and vice versa)

350 = 5y

Divide both sides of the equation by 5

70 = y

We now substitute for the value of y into equation (2)

x + y = 115

x + 70 = 115

Subtract 70 from both sides of the equation

x = 45.

Therefore, the rate they charged per hour were $45 and $70 respectively.

7 0

3 years ago

First one to answer receives 100 points and brainiest!

larisa [96]

Answer and Step-by-step explanation:

116 b.

$2^{10} = 1024\\2^8 = 256\\\\1024 + 256 = 1280\\\\\\2^5 = 32\\2^3 = 8\\\\32 - 8 = 24$

1280 × 24 = 30720

30720 ÷ 60 = 512. 512 is the solution; the expression is divisible by 60.

116 c.

$16^3 = 4096\\8^3 = 512\\\\4096 - 512 = 3584\\\\\\4^3 = 64\\2^3 = 8\\\\64 + 8 = 72$

3584 × 72 = 258048

258048 ÷ 60 = 4096. 4096 is the solution; the expression is divisible by 63.

116 d.

$125^2 = 15625\\25^2 = 625\\\\15625 + 625 = 16250\\\\\\5^2 = 25\\\\25 - 1 = 24$

16250 × 24 = 390000

390,000 ÷ 39 = 10,000. 10,000 is the solution; the expression is divisible by 39.

#teamtrees #PAW (Plant And Water)

4 0

3 years ago

Solve for x. Sqrt. x +3 / x+3 = 1

SashulF [63]

Answer:

x = -3 and x = -2

Step-by-step explanation:

-3 +3 = 0

-3 + 3 = 1

thus that means 0 + 1 = 1

3 0

3 years ago

Read 2 more answers

Please answer fast however answer i will make brainilest

Marizza181 [45]

Answer:

B

Step-by-step explanation:

B

4 0

3 years ago

Read 2 more answers

What is the slope of the line shown in the graph? (4 points)

Korvikt [17]

Answer:

a. or $\frac{3}{-2}$

Step-by-step explanation:

Slope is equal to y1-y2 over x1-x2.

So the equation would be:

$\frac{2-(-1)}{-3-(-1)}$

2-(-1)=2+1=3

-3-(-1)=-3+1=-2

So the answer is:

$\frac{3}{-2}$

5 0

3 years ago

1) What is the solution of the inequality? 42-8 - 22-24