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frutty [35]
3 years ago
12

What comes after 93 27 14.

Mathematics
1 answer:
Annette [7]3 years ago
3 0
The number that comes next is 7
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randy earns $14.50 per hour for the first 40 hours worked in a week and $21.75 per hour for hours over 40. Last week Randy earne
Nutka1998 [239]

Answer:

4 hours

Step-by-step explanation:

We know the following:

Total amount Randy earned: $667

Pay for first 40 hours: $14.50 per hour

Pay after 40 hours: $21.75 per hour

We need to find the total extra hours: x

If the total number of hours worked are, T, then: x + 40 = T

Total pay received for the first 40 hours: 40 \times 14.50 = 580

If out of $667, Randy earns $580 from the first 40 hours, the left over are earned by extra hours.

$667 - $580 = $87 ------- (a)

Total pay received for working after 40 hours: 21.75x

We know from eq (a)  that total pay is 87, hence we can find the number of hours using this.

21.75x = 87\\\\x = \frac{87}{21.75}\\\\x = 4

Randy worked 4 extra hours.

6 0
3 years ago
What is an equation of the line that passes through the point (3,6)(3,6) and is parallel to the line 4x-3y=214x−3y=21?
polet [3.4K]

<em><u>Question:</u></em>

What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>Answer:</u></em>

<em><u>The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:</u></em>

y = \frac{4}{3}x + 2

<em><u>Solution:</u></em>

Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

<em><u>Given equation is:</u></em>

4x - 3y = 21

Rearrange,

3y = 4x - 21

y = \frac{4}{3}x - \frac{21}{3}\\\\y = \frac{4}{3}x - 7

On comparing above equation with eqn 1,

m = \frac{4}{3}

We know that slopes of parallel lines are same

Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3

<em><u>Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1</u></em>

6 = \frac{4}{3} \times 3 + c\\\\6 = 4 + c\\\\c = 2

<em><u>Substitute c = 2 and m = 4/3 in eqn 1</u></em>

y = \frac{4}{3}x + 2

Thus the equation of line is found

4 0
4 years ago
PLEASE HELP ASAP FOR 10 POINTS
Olenka [21]

Answer:

The answer is 4m

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A car used 5 2/3 gallons of fuel on a 3 hour trip. How many gallons were used each hour?
mr_godi [17]

Answer:

2. 1 8/9 gallons

Step-by-step explanation:

5 2/3 divided by 3

5.66666667/3 = 1.88888889

.88888889 = 8/9

1 + 8/9 = 1 8/9

5 0
3 years ago
Using the information given, calculate a grade to the nearest whole percent. The "rise" is 525 feet. If the scale on the map sho
melamori03 [73]
The grade on the west side would be the vertical rise divided by the horizontal run or 525 divided by 800' or rounded off to 66% (a steep grade as in an underground mine a grade of 25% is considered very steep for vehicles to go up or conveyors to travel). On the east side the 40% grade was obtained by dividing the 525' vertical height by the 1300' run. 
5 0
3 years ago
Read 2 more answers
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