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nika2105 [10]
3 years ago
13

1. General Trades A roofer earns $24 per hour plus $36 per hour overtime. If he puts in 40 hours of regular time during a certai

n week and he wishes to earn $1200, how many hours of overtime should he work?
Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0

Answer:

He should work 6\frac{2}{3} hours in overtime.

Step-by-step explanation:

Let x represents the number of hours of regular time and y represents the number of hours of overtime,

Since, earnings are $24 per hour for regular time and $36 per hour for overtime,

Thus, total earning = (24x + 36y) dollars,

Here, x = 40 hours and total earning = $ 1200,

By substituting the values,

1200 = 24(40) + 36y

1200 = 960 + 36y

240 = 36y

⇒ y = 6\frac{2}{3}\text{ hours}

Hence, he should work 6\frac{2}{3} hours in overtime.

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padilas [110]

Answer:

  • largest: R
  • smallest: K

Step-by-step explanation:

The slope of the graph at x=0 is related to the value of b. It is also proportional to the value of <em>a</em>, which is the same for all but curve B. The red curve R has the largest slope at x=0, (much larger than 3/4 the slope of curve B), so curve R has the greatest value of <em>b</em>.

Similarly, the smallest value of <em>b</em> will correspond to the curve with the smallest (most negative) slope. That would be curve K. Curve K has the smallest value of <em>b</em>.

7 0
3 years ago
A square and a regular hexagon have
Komok [63]

Answer:

I believe the answer is D

Step-by-step explanation:

Hope this helps

5 0
3 years ago
Tom put 18 gallons of mid grade gas in his truck and filled up his empty five gallon gas tank with regular gas for his lawn mowe
LuckyWell [14K]

Answer:

Mid grade gas per gallon = $2.67

Regular gas per gallon = $2.37

Step-by-step explanation:

Let, x= mid grade gas, y=regular gas.

So, for 18 gallons of mid grade gas and 5 gallon of regular gas at $59.91, it can be expressed as,

18x+5y=59.91  ------------------(equation 1)

for 14 gallon of mid grade gas and 1 gallon of regular gas at 39.75, it can be expressed as,

14x+y=39.75  -------------------(equation 2)

y=39.75-14x  -------------------(equation 3)

Now substituting the value of y from (equation 3) in (equation 1) we get,

18x+5y=59.91

18x+5(39.75-14x)=59.91

18x+198.75-70x=59.91

52x=198.75-59.91

52x=138.84

x=\frac{138.84}{52}

x=2.67  -------------------------(equation 4)

Now substituting value of x from (equation 4) in (equation 3) we get,

y=39.75-14x

y=39.75-(14\times2.67)

y=39.75-37.38

y=2.37

Therefore price per gallon of mid grade gas is x = $2.67, and price per gallon of regular gas y = $2.37.

4 0
3 years ago
According to the Triangle Inequality, the length of the longest side of a triangle must be less than the sum of the length of th
Tresset [83]

x has to equal 1. 3/10 + 1/5 = 1/2

the equation is now 1/2 + x = 1 1/2x

x = 1

1 1/2 = 1 1/2

4 0
3 years ago
PLEASE SHOW FULL SOLUTIONS !!!!! WILL MARK BRAINLIEST FOR THE BEST ANSWER. THANK YOU AND GOD BLESS.
zhenek [66]

Answer:

a = 8

b ≠ 18

Step-by-step explanation:

y = 4x - 7

2y = ax + b

For there to be no solution, the lines (if graphed) should be parallel meaning that their slopes are equal but the y-intercepts are different

y = mx +b is the equation of a line where m is the slope and b is the y-intercept

Multiply the first equation by 2

2y = 8x - 14

2y = ax + b

So a has to equal 8

b can be anything except 14 (otherwise the lines would be the same)

4 0
2 years ago
Read 2 more answers
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