1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VARVARA [1.3K]
3 years ago
6

Please can someone help!

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

51 mph

Step-by-step explanation:

→ The first thing we need is a formula which links speed, distance and time so,

Speed = Distance ÷ Time

Speed = mph

Distance = metres/miles

Time = hours

→ Since we want to work out the average speed of the entire journey we need to first work out the total distance and total time. Using the first sentence of the paragraph, it says that <em>the car travels at an average speed of 45 mph for 40 minutes, </em>we can rearrange the formula to work out the distance so,

Speed = Distance ÷ Time

→ Rearrange to get distance as subject

Distance = Speed × Time

→ Substitute in the values

Distance = 45 × 40

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

40 ÷ 60 = 0.666666667

→ Substitute in the time value multiplied by the speed

Distance = 45 × 0.666666667 = 30

⇒ 30 metres/miles is overall distance for the first part of the journey

→ Now we have to work out the distance for the second part of the journey. State the distance formula.

Distance = Speed × Time

→ Substitute in the values into the distance formula

Distance = 60 × 25

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

25 ÷ 60 = 0.416666667

→ Substitute in the time value multiplied by the speed

Distance = 60 × 0.416666667 = 25

⇒ 25 metres/miles is overall distance for the second part of the journey

→ Now we have to add the distance of both the journeys together

25 + 30 = 55

→ Then we add the times of the journey together

40 minutes + 25 minutes = 65 minutes

→ Convert 65 minutes into hours

65 ÷ 60 = 1.08333 hours

→ Substitute both values into the speed = distance ÷ time formula

Speed = 55 ÷ 1.08333 = 50.76923077

→ The question says to round it to the nearest whole number so,

50.76923077 = 51 mph

You might be interested in
On a trip to a lake, Kerrie and Shelly rode their bicycles four more than three times as many miles in the afternoon as in the m
Natalija [7]

Answer:

27 miles in the morning and 85 miles in the afternoon.

Explanation:

Let m be the number of miles they rode in the morning.  They rode 4 more than 3 times this many in the afternoon; this gives us the expression

3m+4

to represent the miles ridden in the afternoon.

Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:

m+3m+4 = 112

Combine like terms:

4m+4 = 112

Subtract 4 from each side:

4m+4-4= 112-4

4m = 108

Divide both sides by 4:

4m/4 = 108/4

m = 27

They rode 27 miles in the morning.

That means in the afternoon, they rode

3m+4 = 3(27)+4 = 81+4 = 85 miles.

5 0
3 years ago
Read 2 more answers
How far can your car go on one tank of gas if the tank holds 16 gallons and you average 23 miles of driving per gallon? 
Morgarella [4.7K]
You multiply 16 by 23 and you get 368
7 0
2 years ago
An adult's dinner costs $7. A family of 2 adult's and 2 children pays $22 for their dinners. How many does a child's dinner cost
bonufazy [111]

Answer:

A child's dinner costs $4

Step-by-step explanation:

7 + 7 = 14

22 - 14 = 8

8 / 2 = 4

8 0
3 years ago
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Margaret [11]

Answer:

n=6 man

Step-by-step explanation:

8 0
2 years ago
Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?
PSYCHO15rus [73]

Answer:

g(1) = 0

There is a remainder of 10 so you can automatically cross out 3 and 4.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Mark worked at flea market one weekend selling electronic games. On the Saturday, he sold 7/12 of the games. Sunday morning he s
    11·1 answer
  • A line passes through (1,2) and is perpendicular to y=3.
    9·2 answers
  • Who wants to do my math work for me for $20 for a month?
    15·2 answers
  • What is 1.48 repeating as a mixed number
    7·2 answers
  • A ball is thrown in the air from a ledge. Its height in feet is represented by
    6·1 answer
  • The Point Imperial is the highest point of the Grand Canyon and it is 8,800
    15·1 answer
  • Find the surface area of the prism
    6·1 answer
  • SUMMATIVE TEST
    5·1 answer
  • Help me please<br> 3x+12=?
    5·2 answers
  • Help pleaseeeeeeeeeee
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!