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I am Lyosha [343]
3 years ago
10

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the dista

nce in 4.5 h. Car B traveled 5 mph slower than Car A.
How fast did Car B travel?
Mathematics
1 answer:
poizon [28]3 years ago
8 0
The rate of Car A is x
The rate of Car B is x - 5

They travel the same distance. So we can make an equation:

4(x) = 4.5(x-5)

Solve for x.

4(x) = 4.5(x-5)
4x = 4.5x - 22.5

Subtract 4.5x on both sides

-0.5x = -22.5

Divide by -0.5 on both sides
x = 45

But we want the speed of Car B which is x - 5

So Car B's speed is 45 - 5 = 40

Your answer is 40
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​You need to wrap a present that you will put inside a cylindrical container. You’ll need to know how much will fit in the conta
nirvana33 [79]

Answer:

149.28 sq. inches

137.5 cubic inches.

Step-by-step explanation:

The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.

Now, total surface area of the container = 2\pi r^{2} + 2\pi rh

= \frac{2 \times 22 \times (2.5)^{2} }{7} + \frac{2 \times 22 \times 2.5 \times 7}{7}

= 39.28 + 110  

= 149.28 sq. inches (Answer)

Again the volume of the container will be \pi r^{2}h

= \frac{22 \times (2.5)^{2} \times 7}{7}

= 137.5 cubic inches. (Answer)

6 0
3 years ago
What is the greatest commen factor of 30 and 54
seropon [69]
54. 30
^ ^
27 2. 10 3
^ ^
9 3. 5 2
^
3 3
They only have 3 and two in common when you fully factor them. 3×2= 6
6 is the greatest common factor.
3 0
3 years ago
Read 2 more answers
Help me plz
Romashka-Z-Leto [24]

Answer:

3.50

Step-by-step explanation:

Total Quality Points Gained= C=2, A=4,B=3 and A=4

Sum the Points 2+4+3+4 (4)=25

Average= Total Points/ Total number of courses

A=25/7=3.50

8 0
2 years ago
April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is 11 feet high. The height of t
dusya [7]

Answer:

27 ft

the maximum height of the​ arrow is 27 ft

Step-by-step explanation:

Given;

The height of the arrow is given by the function;

h(t) = -16t^2 + 32t + 11

Maximum height is at point when dh(t)/dt = 0.

Differentiating h(t), we have;

dh/dt = -32t + 32 = 0

Solving for t;

-32t = -32

t = -32/-32 = 1

t = 1 (time at maximum height is t = 1)

Substituting t=1 into h(t), to determine the value of maximum height;

h(max)= -16(1^2) + 32(1) + 11

h(max) = 27 ft

the maximum height of the​ arrow is 27 ft.

8 0
3 years ago
Which fraction is less 1/3 or 1/4
aleksandr82 [10.1K]
1/3 is 0.33.. and 1/4 is .25 , so the answer is 1/4
7 0
3 years ago
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