Mrs. Jacobs drove at a speed of 60 km/h to her mother's house 120 km away. She picked up a box of photos and drove back home at 40 km/h.Mrs. Jacobs thought to herself, "Well, I drove 60 km/h to get there, and 40 km/h to get home. I must have averaged 50 km/h for the whole trip."

Do you agree with Mrs. Jacob's conclusion? Why or why not?

Can someone please help me with the above problem? Thank you!

Answers

Answer 1

Answer: I know that you can't generally handle speed like that.

Without trying to go through a long-winded explanation,
let's just calculate her average speed for the whole trip
and see what it was.

Average speed = (distance covered) / (time to cover the distance).

-- On the way going to mother's house . . .

   Distance = 120 km.
   Time    = (120/60) = 2 hours.

-- On the way coming back from mother's house . . .

   Distance = the same 120 km
   Time = (120/50) = 2.4 hours.

Total distance covered = 240 km.
Time to cover the distance = (2 + 2.4) = 4.4 hours.

Average speed = (240 km) / (4.4 hours) = (54 and 6/11) km/hr .

That's why I don't agree with Mrs. Jacobs' conclusion.

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Lupe has 14 stickers that she wants to give to 2 friends.She wants each friend to have the same number of stickers.

Select the three statements that describe how Lupe should give the stickers to her friends.

Answers

Answer:

each friend gets 14:2 stickers.

each friend gets 14/2 stickers.

each friend gets 7 of the 14 stickers.

well ,she can divide 14 and 2 and get 7

Use DE←→ and FG←→ to answer the question. DE←→ contains the points D(1,−2) and E(3,4). FG←→ contains the points F(−1,2) and G(4,0). Is DE←→ perpendicular to FG←→? Why or why not? A.No, because the product of the slopes is not −1. B.Yes, because the product of the slopes is −1. C.No, because the product of the slopes is not 1. D.Yes, because the product of the slopes is 1.

Answers

Answer:

A. No, because the product of the slopes is not -1

Step-by-step explanation:

The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:

m = (y2 - y1)/(x2 - x1)

Therefore:

Slope of DE (m1) = (4 - (-2))/(3 - 1) = 3

Slope of FG (m2) = (0 - 2)/(4 - (-1)) = -0.4

Two lines are perpendicular if the product of their slopes is equal to minus one. In this case, m1*m2 = 3*(-0.4) = -1.2 ≠ -1

Answer:

Yes, because the product of the slopes is −1.

Step-by-step explanation:

I took the test :)

Of all fractions with a denominator of 17 and a whole number numerator, how many arebetween 1/3 and 2/3?

Answers

1/3 of 17 = 17/3 = 5.666

2/3 of 17 = 11.333

The numerator needs to be between 6 and 11

6, 7, 8, 9, 10, 11

There are 6 whole numbers that can be used.

Explain how you would find the sum 46+7

Answers

1. You would set them up:46+7

2. Next you would do 6+7 which equals 13

3. You would then bring down the 4

4. And last you get the answer:53

Hope this helped you!

6 and 7 is 13 so you would re-group 1 and leave the 3 and 4+1 is 5 so that would be 53

What is 1/6 plus 1/2

Answers

$(1)/(2)=(3)/(6)\n\n(1)/(6)+(3)/(6)=(4)/(6)\n\n(4)/(6)=(2)/(3)$

So the final answer is 2/3

Answer:

2/3

Step-by-step explanation:

Zulfiya earns her regular pay $7.50 per hour for up to 40 hours of work in a week. For each hour over 40 hours of work in a week, Zulfiya is paid 1.5 times her regular pay. How much does Zulfiya earn for a week in which she works 46 hours? The answer is $367.5

Please show me the way of your solution

Answers

Zulfiya get $7.5 for each hour.
If she works more than 40 hrs she gets 1.5 times her regular pay.
She works for 46 hrs.
7.5×40=300
For next six hrs she gets 1.5 times her pay i.e. 7.5×1.5=11.25 for one hr.
for 6 hrs she gets 11.25×6=67.5
For 46 hrs she earns 300+67.5= $367.5

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