Jack and Rock agree to meet in London for the weekend. Jack travels 164 miles and Rock travels 106 miles. If Jacks rate of speed is 8 mph faster than Rock’s then at what rate of speed does Jack travel?

Answers

Answer 1

Answer: $v=(s)/(t)\n\nv-velocity;\ s-distance;\ t-time\n\nv=(s)/(t)\to vt=s\to t=(s)/(v)\n---------------------\nv-Rock's\ veloocity\ (mph)\nv+8-Jack's\ velocity\ (mph)\ns_J=164\ mi-Jack's\ distance\ns_R=106\ mi-Rock's\ distance\nt_J=t_R-times\ are\ equal\n\ntherefore:(s_R)/(v)=(s_J)/(v+8)\n\nsubtitute\ values\ of\ distance:$

$(106)/(v)=(164)/(v+8)\ \ \ \ |cross\ multiply\n\n106(v+8)=164v\n\n106v+848=164v\ \ \ \ |subtract\ 106v\ from\ both\ sides\n\n848=58v\to 58v=848\ \ \ |divide\ btoh\ sides\ by\ 58\n\nv\approx14.6\ (mph)\n\nAnswer:\boxed{v+8=(14.6+8)mph=22.6\ mph}$

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A cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 ft per hour.How many hours will it take for the water level in the tank to be 3 1/2 ft deep?

Enter your answer as a mixed number in simplest form in the box.

It would really Help :) Thank you

Answers

Expressing the values as improper fractions for easy calculations:
Rate of filling = 5/4 feet per hour
Depth to be reached = 7/2 feet

Time taken = depth / rate
Time = 7/2 x 4/5
Time = 14/5 hours

As a mixed number:
Time = 2 4/5 hours

Answer:

his answer is correct

Step-by-step explanation:

What is the approximate volume of a cylinder with a diameter of 10 meters and a height of 5 meters? Use 3.14 for pi.

Answers

157. Because when you multiply 10 times 3.14 times 5 you get 157.

Which is the midpoint of AB if A is (-4,-1) and B is (10,5)?A. (-14, -6)
B. (-7, -3)
c. (3, 2)
D. (6,4)
E. (7,3)

Answers

The midpoint of AB if A is (-4, -1) and B is (10, 5) is the point (3, 2). Hence, option c is the right choice.

What is the midpoint formula?

The midpoint formula of a line segment XY, where X is (x1, y1) and

Y is (x2, y2) is given by point M = ((x1+x2)/2, (y1+y2)/2).

How do we solve the given question?

We are asked to find the midpoint of AB, given A is (-4, -1) and B is (10, 5).

We use the midpoint formula to find it.

Taking A (-4, -1) as (x1, y1) and B (10, 5) as (x2, y2), we substitute the values in the formula: M = ((x1+x2)/2, (y1+y2)/2).

∴ M = ((-4 + 10)/2, (-1 + 5)/2)

or, M = (6/2, 4/2)

or, M = (3, 2)

∴ The midpoint of AB if A is (-4, -1) and B is (10, 5) is the point (3, 2). Hence, option c is the right choice.

Learn more about the midpoint formula at

brainly.com/question/14687140

#SPJ2

Answer:

the answer is c

Step-by-step explanation:

(-4+10)/2= 6/2=3

(5+(-1))/2=4/2=2

(3,2)

What is the greatest common factor of 27,45,63 and then 24 40 64

Answers

Answer:

Step-by-step explanation:

during the summer addison babysits for kids in her neighborhood. the ratio of her earnings for a weekday to her earnings for a weekend is 3:4. if she is paid $42 on a weekday, how much does she earn for working on Saturday and Sunday

Answers

so its a matter of proportionality.
A weekday is less payed than a weekend y 3:4
so if the payment for a weekday is 42, we have:
3:4
= 3(14):4(14)
= 42:56
therefore, the wknd payment is $56

The height above ground (in feet) of a projectile is given by the function h(t)=-16t^2+64t+10, where t is the number of seconds that it has been in the air

Answers

Answer:

40 seconds

Step-by-step explanation:

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