MATHEMATICS HIGH SCHOOL

After school, Marcus can walk 1 mile to the library in about the same time he can bike 2.5 miles to the sporting goods store. His speed on the  bike is 6 mi/h faster than his walking speed. what is Marcus' walking speed?

Answers

Answer 1
Answer: d-distance\nt-time\nv-speed

d_1=1mile\nd_2=2.5miles\nt_1=t_2\nv_1+6=v_2\n\nv=(d)/(t)\to vt=d\to t=(d)/(v)\n\n(d_1)/(v_1)=(d_2)/(v_2)\n\n(1)/(v_1)=(2.5)/(v_1+6)\n\ncross\ multiply:\n2.5v_1=v_1+6\n2.5v_1-v_1=6\n1.5v_1=6\ \ \ \ \ /:1.5\nv_1=4\n\nAnswer:Marcus'\ walking\ speed\ is\ 4\ mph.

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Nancy winter local zoo that featured 11 monkey exhibits if these monkey exhibit make up 55% of the zoo exhibits then how many exhibits does the zoo have until the round your answer to the nearest whole number if necessary​

Answers

Answer:

20 total exhibits at the zoo

Step-by-step explanation:

55% of 20 = 11 (monkeys)

A skydiver is falling 176 feet per second. How many feet per minute is he falling

Answers

The correct answer here is that if the skydiver is falling 176 feet persecond, he is falling 10560 feet per minute. This can be worked outquite easily, by considering that if there are 60 seconds in a minute,we then need to work out the proportion of 176 feet/1 sec = x/60 sec.You then need to multiply 60 by 176 to get 10560, which is your answer.

A car leaves a town traveling at 60 miles per hour. Two hours later, a second car leaves the town traveling the same route and overtakes the first car in 6 hours and 40 minutes. How fast was the second car traveling?

Answers


After two hours, the first car has traveled (2 x 60) = 120 miles.
That's the gap that the second car has to close.

The second car closes the gap of 120 miles in 6-2/3 hours.
He must have exceeded the first car's speed by (120/6-2/3) mph.

6-2/3 = 20/3

120 divided by 20/3  =  120 x 3/20 = 360/20  =  18 mph

The second car exceeded the first car's speed by 18 mph,
so he had to be traveling (60 + 18) = 78 mph to catch up.

Check:

In 6-2/3 hours . . .

The first car covers  (60 x 20/3) = 400 miles.

The second car covers  (78 x 20/3) = 520 miles.
This is the same distance as the first car PLUS the 120
that he was behind when he started out.
                                                                     yay !
78 mph
The second car travels 520 miles in 400 minutes. 520/400=1.3. 1.3*60=78.

There are 4 quarts in 1 gallon. How many quarts are on 3 gallons?

Answers

Knowing that there are 4 quarts in one gallon, you can use this information to set up a proportion to find how many quarts are in 3 gallons. When you set up this proportion, you should get this where x is the amount of quarts:

4/1=x/3

Then, to solve for x, or your number of gallons, cross multiply:

1*x=4*3


When simplified, you should get that x=12, or that there are 12 quarts in 3 gallons :)

Final answer:

By multiplying the number of gallons by 4, we find that there are 12 quarts in 3 gallons.

Explanation:

The problem is asking how many quarts are in 3 gallons. Since there are 4 quarts in 1 gallon, you can simply multiply the number of gallons by 4 to find out how many quarts are in 3 gallons.

So, in calculation, 3 gallons * 4 quarts/gallon = 12 quarts. Therefore, there are 12 quarts in 3 gallons.

Learn more about Conversion here:

brainly.com/question/34235911

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Answers

if you average 52 mi/h for 5 hours you would travel about 260 miles
A. 260 miles. 52 per hour, so 52 times 5.

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Answers

P(LC / S) = P(S intersect LC) / P(S)
P(S intersect LC) = P(S)*P(LC / S) = 0.19 * 0.158 = 0.03
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