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levacccp [35]
2 years ago
12

30 POINTSSSS

Mathematics
1 answer:
agasfer [191]2 years ago
5 0

Answer:

0.76

1.48

increases

Step-by-step explanation:

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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
What is y=-10x's constant of proportionality and how would describe a graph's constant rate of change.
Fantom [35]
Okay, so here, we know that -10 is the slope, therefore, it is also the constant of proportionality. 

'x' is the unknown value, that tells us to multiply by -10. 

So, on a graph, we would consider that per unit, it would decrease by -10, since its a negative slope. 

Hope I helped, if you have further questions or concerns, feel free to PM me. Thanks! :D
5 0
3 years ago
if a lake has high alkalinity, what is closest to the probability that the lake also has a shallow depth?
never [62]

Answer:

0.22

Step-by-step explanation:

Probability distribution is the function which describes the likelihood of possible values assuming a random variable. The alkalinity of lake is determined by dividing the high shallow depthness by the total of lake alkalinity. The shallow depth is 209 and the total alkalinity of the lake is 966. By dividing the depthness with alkalinity we get 0.22.

209/966 = 0.219

approximately 0.22

8 0
3 years ago
Harry purchased 16 hinges for his kitchen project. They were each on sale for $3 off the regular price.
Zielflug [23.3K]
THE ANSWER IS 8 DOLLARS BCUZ 80/16 EQUALS 5, AND 5+3 EQUALS 8!!!!
3 0
3 years ago
Read 2 more answers
Translate to an algebraic expression: 15 less than six times a number, y.
Natalija [7]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
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