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stealth61 [152]
3 years ago
12

On Jiamin's trip to Wisconsin, her average rate of speed for the whole 5-hour trip was 62 miles per hour. For the first two hour

s of her trip, she kept her average speed at 60 miles per hour. Then she realized she was going to be late, so she started driving faster. What was her average speed for the last three hours of her trip?
Mathematics
1 answer:
GaryK [48]3 years ago
5 0
Average speed for the entire journey was 62 miles per hour.
Total time of the journey was 5 hours.

In first 2 hours, her average speed was 60 miles per hour. This means, she covered 120 miles in first two hours, as

Distance = Speed x Time

The total distance of the entire journey was:

Total Distance = 62 x 5 =310 miles

Out of these 310 miles, she covered 120 miles in first two hours. So this means she covered (310 - 120) miles in next 3 hours.

Thus she covered 190 miles in 3 hours. So her average speed will be 190/3 miles per hour which is equal to 63.33 miles per hour.

So, the average speed for last 3 hours of the trip was 63.33 miles per hour
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How do I find the missing side of this triangle
larisa86 [58]

Answer:

40

Step-by-step explanation:

by using similar triangles;

27/24=45/x

x=45x24/27=40

7 0
3 years ago
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I need help with this step by step
damaskus [11]
0.3x ≥ 0.6
Divide both sides by 0.3,
0.3x / 0.3 ≥ 0.6/0.3
x ≥ 2

So, your final answer is x ≥ 2

Hope this helps!
6 0
3 years ago
What is the value of c in this linear system? <br> A) 1<br> B) -3<br> C) -1<br> D) 2
Alika [10]

9514 1404 393

Answer:

   B)  -3

Step-by-step explanation:

There are methods for finding only c. Cramer's rule is one of them. It involves finding two determinants and taking their ratio. Here, we choose a more <em>ad hoc</em> approach. It appears that the value of b can be found by combining the last two equations.

  (1/2)(2a +4b -2c) -(a -3b -c) = (1/2)(12) -(-4)

  5b = 10

  b = 2

Now, we can substitute this value into the first two equations. This gives ...

  5a +c = -8

  a - c = 2

Subtracting 5 times the second from the first gives ...

  (5a +c) -5(a -c) = (-8) -5(2)

  6c = -18 . . . . simplify

  c = -3 . . . . . . divide by 6

The value of c is -3.

4 0
3 years ago
Find the coordinates of the midpoint of the segment whose endpoints are given W (-3,-7) and X (-8,4)
goldenfox [79]

The coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2). Then the correct option is D.

The complete options are given below.

1. (-11/2) -(11/2)

2.(-5/2)-(3/2)

3.(-5/2-(11/2)

4. (-11/2) -(-3/2)

<h3>What is the midpoint of line segment AB?</h3>

Let C be the mid-point of the line segment AB.

A = (x₁, y₁)

B = (x₂, y₂)

C = (x, y)

Then the midpoint will be

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

The end points are given below.

(-3, -7) and (-8, 4)

We have

(x₁, y₁) = (-3, -7)

(x₂, y₂) = (-8, 4)

Then the mid-point will be

x = (- 3 - 8) / 2

x = -11 / 2

y = (-7 + 4) / 2

y = -3/2

Then the coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2).

Then the correct option is D.

More about the midpoint of line segment AB link is given below.

brainly.com/question/17410964

#SPJ1

8 0
3 years ago
Which statement best compares the graphs of y=-3x^n and y=3x^n?
devlian [24]

Answer:

The graph of y=-3x^n is the reflection of the graph of y=3x^n about the x axis.

Step-by-step explanation:

If you graph these two functions, then you will notice that they look similar. for example the points of (1,-3) on graph y=-3x^n and point (-1,-3) on graph y=3x^n. They have the same y value but just the reflection of the x value. I hope this helped !!

4 0
4 years ago
Read 2 more answers
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