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Novay_Z [31]
4 years ago
8

Two towns are 1300 miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet af

ter a total hiking time of 240 hours. If one group travels 2 1/2 miles per hour slower than the other group, find the rate of each group.

Mathematics
1 answer:
Leto [7]4 years ago
5 0
240(v+2.5)=1300-240v

240v+600=1300-240v

480v=1900

v=95/24

v-2.5=v-5/2

95/24-60/24=35/24

So the faster group travels at 95/24 mph (≈3.96 mph) and the slower group travels at 35/24 mph (≈1.46mph)

check...

240(95/24)=950 miles from the origin...

1300-240(35/24)=950 miles from the origin...

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Nick's dad wanted to measure the length of his backyard and asked Nick to do this with his footsteps. Since it was winter, they
Lerok [7]

Answer:

2244 cm

Step-by-step explanation:

The first first thing we must do is find the LCM of the following numbers

(51; 68) = 204.

This means that the first time they coincide is at 204.

Now, since his steps always coincide after 204

In Nick's case

Nick's 204 ÷ 51 = 4th step

and in the case of the father

204 ÷ 68 of his father = 3rd step.

Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.

Replacing these values we have that the total distance will be:

67-1 (initial step) / (6 * 204) = 2244 cm

7 0
3 years ago
Solve the following quadratic equation by the square root method. (Y-9)^2=64
enot [183]

Hello!

To solve this, first perform the opposite operation for the last operation (on the left side) on both sides. The last operation of the left side is squaring. Therefore, square root both sides.

(y - 9)^{2}  = 64

y - 9 = ±\sqrt{64}

y - 9 = ±8

Please note that you must include ±. This is because the square root of 64 can be either positive or negative, as a square of either a positive or negative number is positive.

Now, add 9 to both sides.

y  = 9±8

There are 2 solutions from here. One comes from adding 8, and the other subtracting 8. Therefore, the two solutions are:

y = 9 + 8 = 17

y = 9 - 8 = 1

Therefore, your two solutions are 17 and 1.

Hope this helps!

8 0
3 years ago
Please help!! 10 extra points
Igoryamba
HEY THERE !!

As we know that cotx= 1/tanx

cot36° = 1/tan36°

=>cot36°= 1/0.726543

=>so cot 36°= 1.376382

So correct answer is option D.


HOPR YOU LIKED.
7 0
3 years ago
There were 200 people at the baseball game. Each of them bought a $8 ticket to get into the game. How much money did the people
irina1246 [14]
8 x 200

= 8 x 2 x 100

= 16 x 100

= 1,600

--------------

Answer:

$1,600
7 0
3 years ago
Read 2 more answers
Hi please help i will mark brain list giving all my points
DochEvi [55]

Answer:

B

Step-by-step explanation:

It looks like addition to me.

3 0
3 years ago
Read 2 more answers
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