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fenix001 [56]
3 years ago
7

I need help with math motion problems.

Mathematics
1 answer:
madreJ [45]3 years ago
7 0
The whole story begins at 9:00 AM, so let's make up a quantity called ' T ',
and that'll be the number of hours after 9:00 AM.  When we find out what ' T ' is,
we'll just count off that many hours after 9:00 AM and we'll have the answer.

-- The first car started out at 9:00 AM, and drove until the other one caught up
with him.  So the first car drove for ' T ' hours.

The first car drove at 55 mph, so he covered ' 55T ' miles.

-- The second car started out 1 hour later, so he only drove for (T - 1) hours.

The second car drove at 75 mph, so he covered ' 75(T - 1) ' miles.

But they both left from the same shop, and they both met at the same place.
So they both traveled the same distance.

(Miles of Car-#1) = (miles of Car-#2)

55 T = 75 (T - 1)

Eliminate the parentheses on the right side"

55 T = 75 T - 75

Add 75 to each side:

55 T + 75 = 75 T

Subtract 55 T from each side:

75 = 20 T

Divide each side by 20 :

75/20 = T

3.75 = T

There you have it.  They met 3.75 hours after 9:00 AM.

9:00 AM + 3.75 hours = <u>12:45 PM</u> . . . just in time to stop for lunch together.

Also by the way ...
when the 2nd car caught up, they were 206.25 miles from the shop.
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Check my answer?
sergij07 [2.7K]
I think you have it upside down.
When you solve a proportion, you cross multiply. You can have the same proportion just by interchanging 8 and b

a/8 = b / 15 When you cross multiply, you get
15a = 8b Try the given proportion to see what happens
5 0
3 years ago
Read 2 more answers
Millie needs the average height of the plants she is buying to be atleast 73 inches. She has selected three plants that are 70,
Solnce55 [7]

Answer

Find out the  possible heights of her fourth plant.

To prove

Let us assume that the  possible heights of her fourth plant be x.

As given

Millie needs the average height of the plants she is buying to be atleast 73 inches.

She has selected three plants that are 70, 71, and 72 inches tall.

Average formula

Average formula = \frac{Total\ heights \ of\ plants}{Total\ number\ of\ plants}

Put the value

Here Total numbers of flowers = 4

Put in the formula

73\leq \frac{x + 70 + 71 +72}{4}

73\times 4 \leq (x + 70 + 71 +72)

292 \leq x + 213

292 - 213 \leq x

79 ≤ x

Therefore the possible height of the fourth plant be 79 .



5 0
2 years ago
O. A store pays $10 for a blanket. The<br> mark up is 40%. What do they sell it for?
Liula [17]

Answer:

$14.

Step-by-step explanation:

10 + 0.40 * 10

= 14.

4 0
1 year ago
A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes d
ozzi
What’s ever it it good for you
4 0
3 years ago
Miranda is adding the numbers below. 2.9 times 10^10 + 5.35 times 10^10 What is the sum written in scientific notation?
Zarrin [17]
2.9*10^10+ 5.35*10^10
= (2.9+ 5.35)*10^10 (distributive property)
= 8.25*10^10

The correct answer is A. <span>8.25 times 10^10~</span>
6 0
3 years ago
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