Mathematics Middle School

1) Nicholas drove from Town P to Town Q. He took 2 hours to travel 3/5 of
the trip. He took another 1 hour to travel the remaining trip at an average
speed of 60 km/h. Find his average speed for the whole trip.


Please add the units at the end of the answer.

Answers

Answer 1
anwser: 31.5



step by step explanation:
Answer 2

The average speed for the whole trip is required.

The average speed of the car is 100 km/h.

Let [tex]x[/tex] be the total distance of the trip.

Distance traveled for 2nd half

[tex]60\times 1=60\ \text{km}[/tex]

[tex]x-\dfrac{3}{5}x=60\\\Rightarrow \dfrac{1}{5}x=60\\\Rightarrow x=300\ \text{km}[/tex]

Total time

[tex]t=2+1=3\ \text{hours}[/tex]

Average speed is given by

[tex]v=\dfrac{300}{3}\\\Rightarrow v=100\ \text{km/h}[/tex]

The average speed of the car is 100 km/h.

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Related Questions

John has a box of nails. The box contains 65 small nails, 40 medium nails, and 45 large nails. Susan has a box of nails that has the same proportion of small, medium, and large nails as John's box. There are 176 medium nails in Susan's box.

What is the total number of nails in Susan's box?

Answers

Answer:

326

Step-by-step explanation:

Add a nails: 65+40+45+176= The answer

660

Step-by-step explanation:

John

65s (small)

40m (medium)

45 L (large)

Susan

x small

176m

y large

From question:

Susan has a box of nails that has the same proportion of small, medium, and large nails as John's box =Meaning same ratio

John ratio. Susan

s : m : L s : m : L

65 : 40 : 45. 13 : 8 : 9

13 : 8 : 9. x : 176 : y

x = (176/8)*13

=286

y = (176/8) * 9

= 198

Total number of nails in Susan box

= x + 176 + y

= 286 + 176 + 198

=660

I will give brainliest to the correct answer!!!

Don't forget...answer both questions

Answers

i think it is this.

1. 2/50

2.  1/10

1. 2/50
2. 1/50 then divided > multiply by 100

A drum of oil is 4 ft. hieight and the radius is 1.2 ft. Oil cost is $22. What is the cost per cubic ft. to fill the drum of oil?
Use 3.14 for pi.
Round answer to nearest penny.

Answers

3.14 • 1.2^2•4
= 18.0864 ft^3

18.0864 • 22
= $397.9
Answer : $1.2 per cubic foot

Explanation :
1. Do your radius to the power of two and multiply by pi (3.14)
2. That would be 4.5216 you then multiply that by 4(your height) and get about 18
3.You divide 22(cost of oil) by 18(drum of oil) and get about $1.2 per cubic foot

Hope this helps

A student is using a spinner with four equal sections numbered 1 through 4. He also tosses a fair coin. What is the correct sample space for this compound event?

A. {H, T}

B. {(HT, 1), (HT, 2), (HT, 3), (HT, 4)}

C. {(1,H), (2,H), (3,H), (4,H), (1,T), (2,T), (3,T), (4,T)}

D. {1, 2, 3, 4}

Answers

Answer:

C. {(1,H), (2,H), (3,H), (4,H), (1,T), (2,T), (3,T), (4,T)}

anwser: C


stwo by step explanation:

plz help !

Question 11 of 14
Drag the operation signs to make the equation true. An operation may be used once. more than once, or not at all

Answers

it’s 12 DIVIDE (7-4)+5 TIMES 3=19
12 divide (7-4) plus 5 x 3= 19

е The solid shown below is made by combining two rectangular prisms. What is the volume of the solid?

A. 60 cubic inches
В. 120 cubic inches
C. 216 cubic inches
D. 48 cubic inches​

Answers

A 60 cubic inches because you have to split the prism in two and multiply the number by each other
The answer is
A. Sooo yeah 60cubic inches

SOMEONE HELP ASAPPPP PLEASEEE,PLEASE EXPLAIN HOW U GOT YOUR ANSWER, I NEED AN EXPLANATION IN ORDER TO COMPLETE THIS! NO LINKS OR YOU WILL BE REPORTED, I WILL GIVE BRAINLIEST!!!!! I NEED THE ANSWER TODAY THIS ASSIGNMENT IS DUE TODAY

Answers

Answer:

x = 5

Step-by-step explanation:

4x + 2y + z = 24

2x - 3y - z = 2

5x + y + 2z = 21

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

Eliminate z

Add the 1st and 2nd eqn

4x + 2y + z = 24

2x - 3y - z = 2

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

6x - 1y = 26 eqn A

Multiply the 2nd eqn by 2, then add the 3rd.

4x - 6y -2z = 4

5x + y + 2z = 21

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

9x - 5y = 25 eqn B

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

Now you have 2 eqns in 2 unknowns, not 3.

Multiply eqn A by 5 and subtract eqn B.

30x - 5y = 130 eqn A times 5

9x - 5y = 25 eqn B

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

21x = 105

x = 5

Answer:

x = 5 is the answer

Step-by-step explanation:

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