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ValentinkaMS [17]
2 years ago
15

Mr. Anderson drove 168 miles in 3.5 hours. He then drove the next 2.25 hours at a rate of 5 miles an hour faster than the first

rate. How many miles did Mr. Anderson drive during the 5.75 hours?
Mathematics
1 answer:
SVEN [57.7K]2 years ago
4 0
  1. Mr. Anderson drove 168 miles in 3.5 hours. Distance here is 168 miles.
  2. He drove for 2.25 at a rate of 5miles/hour. The speed here is 5miles/hour.

Since we are looking for distance, we have to convert the 2nd part (which is the speed) to dostance.

Distance = speed x time

Distance = 5 x 2.25 = 11.25

In the first part, he drove for 3.5 hours. And in the 2nd part, he drove for 2.25 hours which sum up together to be 5.75 hours.

Since we have the distances for both parts now, we just sum it up

which it 168 + 11.25 = 179.25 miles

I hope this is good

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A kite string is being held 3 ft above the ground. The string is 185 ft long and is flying at an angle of elevation of 36° . Wha
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8 0
2 years ago
8. The ratio of students in Arts, Science and Commerce Faculties is 5: 4: 3. If the number
N76 [4]

Answer:

Arts=295, Commerce=177

Step-by-step explanation:

That the three subjects have a common ratio implies that there is some common factor between them that relates to the actual number of students in each area, so 5:4:3 means 5x:4x:3x for some value of x

We know that there are 236 science students, so 4x = 236 or x = 59

so the number of arts students is 5(59) and the number of commerce students is 3(59)

Arts = 5*59 = 295

Commerce = 3*59=177

3 0
1 year ago
Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h2) to estimate the firs
strojnjashka [21]

Answer:

Answer has explained below.

Step-by-step explanation:

Consider the function is:

F(x) = 25x3 – 6x2 +7x -88

Differentiate with respect to x, we get

F’(x) = 25. 3x2 – 6.2x + 7

       = 75x2 – 12x +7

At x = 2, we have

F (2) = 25(2)3 – 6(2)2 + 7(2)-88

        =102

And f’(2) = 75(2)2 – 12 (2) +7

               =283

Now, calculate forward divided difference as:

xi + 1 = xi + h

        =2 + 0.25

        =2.25

F (xi + 1) = f (2.25) = 25 (2.25)3 – 6(2.25)2 +7(2.25) -88

                            =182.21

f’(2) = f(2.25) – f(2) / 0.25 = 182.21 – 102 / 0.25

                                             = 320.84

Єt = 283 – 320.8 / 283 = -13.36%

Now calculate backward divided difference:

Xi-1 = xi –h = 2 – 0.25 = 1.75

F(xi-1)= f(1.8) = 25 . (1.8)3 -6 (1.8)2 + 7 (1.8) – 88

                       = 50.96

F’(2) = f(2) – f(1.8) / 0.25 = 102 – 50.96 / 0.25 = 204.16

Єt = 283 – 204.16 / 283 = 27.86%

Finally, centered divided difference is obtain by inserting f(xi+1) and f (xi-1):

F’(2) = f(2.25) – f(1.8) /2 x 0.25 = 320.84 -50.96 / 0.5 = 539.68

Єt = 283 – 539.68 / 283 = -90.7%

6 0
2 years ago
3.5 hours:$10 1/2 hour:$1.25. What is the unit rate in dollars per hour for each company?
Rasek [7]

One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).

Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.

The unit rate is 2,86:2,50

7 0
2 years ago
Simplify the expression <br> (7v^2 )(10u^3v^5)(8uv^3)
Marizza181 [45]

Answer:

560v^{10}u^{4}

Step-by-step explanation:

Simplify the expression.

8 0
2 years ago
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