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Crank
3 years ago
11

If Dr. Bob ride his bike to his office he averages 12 mph if he drives his car he averages 48 mph his time driving is 1/4 hour l

ess than his time bicycling how far is his office
Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0

Answer:

2.4 miles

Step-by-step explanation:

From the question;

  • When using the bike, speed is 12 mph
  • When using the car, the speed is 48 mph
  • He takes 1/4 hrs less when using the car than when he uses the bike.

We are going to assume the distance to the office is x miles

Therefore;

Time taken when using the bike;

Time = distance ÷ speed

         = x/12 hours

Time taken when using the car;

Time = x/48 hours

But, time taken when using the car is 1/4 hours less.

Therefore;

1/12 hours - x/48 hours = 1/4 hr

That is;

\frac{x}{12} + \frac{x}{48}= \frac{1}{4}

We want to solve for x.

Multiplying by LCM, 48

We get, 4x + x = 12

  5x = 12

    x = 12/5

      = 2.4 miles

Therefore, the office is 2.4 miles away.

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2*10^7
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Amy bought a bag of chips for 0.75, a sandwhich for 5.50, a bottle of water for 1.60. How much does amy have left from 10.
ch4aika [34]

Answer:

Amy would have 2.15 left

Step-by-step explanation:

To find out how much she has left, subtract the cost of the items from 10.

10 - 0.75 - 5.50 - 1.60 = 2.15

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3 eggs and 2 cups of sugar to make 30 cookies. How many eggs and cups of sugar do you need to make 50 cookies.
sineoko [7]

Answer:

<u>5 eggs and 3.33 cups of sugar</u>

Step-by-step explanation:

3 eggs are required to make 30 cookies

1 cookie needs 3/30 eggs

so,50 cookies needs 50*3/30=150/30=<u>5 eggs</u>

2 cups of sugar is required to make 30 cookies

1 cookie needs 2/30 cups of sugar

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5 0
3 years ago
Please help me with these two questions. Find the circumference AND area for the circles on the right. (I will mark brainliest)
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5). Radius = 6 km. Circumference = 12π km. Area = 36π km²

6). Diameter = 8 mm. Circumference = 8π mm. Area = 16π mm²

7 0
3 years ago
Read 2 more answers
I need help asap!!!!
kolbaska11 [484]

Answer:

24: x = 31

25: x = 15

Step-by-step explanation:

Remark

24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation

25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation

Twenty Four

3x + 31 +2x - 6 =  180              Collect the like terms

3x +2x + 31 - 6 = 180               Do the adding and subtracting.

5x + 25 = 180                          Subtract 25 from both sides

5x + 25 - 25 = 180 - 25

5x = 155                                   Divide by 5

x = 155/5

x = 31

Check

3x + 31 = 3*31 + 31

3x + 31 = 93 + 31

3x + 31 = 124

2x - 6 = 2*31 - 6 = 62 - 6 = 56

Total 124 + 56 = 180 as it should.

Twenty Five

Equation

3x+ 4x -  15 = 90

Solution

7x - 15 = 90        Like terms have been collected on the left.

7x = 90 + 15       15 was added to both sides

7x = 105              Divide by 7      

x = 15                       I'll leave the check to you


5 0
3 years ago
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