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Mademuasel [1]
3 years ago
13

Susan began counting backwards from 1298 by 4's saying one number every 5 seconds. At the same time Jim begins counting forward

from 171 by 3's saying one number every 5 seconds what number will they both say at the same time
Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0
1298 - 4x =171 + 3x

Add 4x to both sides

1298 = 171 + 7x

Subtract 171 from both sides

1127 = 7x

Divide by 7 on both sides


x = 161

They will both say the number 161 at the same time.
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Kate is a wage earner. One year she earned $72 000. She works 36 hours/week.
Lemur [1.5K]

Answer:

Kate's possible hourly rate of pay:  $34.75

Hours of overtime: 100

Step-by-step explanation:

In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year.  If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are:  36 x 52 = 1872.  Setting up an equation based on her total earnings of $72,000:

1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.

Combine like terms:  1872x + 200x = 72000 or 2072x = 72000

Divide both sides by 2072:  2072x/2072 = 72000/2072

Solve for x:  x = $34.75

Kate's hourly rate is estimated at $34.75.  We can check to see if this is correct by putting this value back into our original equation:

1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002

The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.

8 0
3 years ago
Writing lan's car can go 180 miles on 5 gallons of gas. During a drive last weekend, lan used
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Answer:

288 miles

If we have the distance, we divide by 36 instead to find how many gallons of gas he used.

Step-by-step explanation:

180/5=36 miles per gallon

8 gallonsx36 miles per gallon=288 miles

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