On roller-skates, Ian can travel 3/4 of a mile in 5 minutes. On his bike, he can travel 3 1/2 miles in 12 minutes. How fast, in miles per hour, can Ian travel on roller skates and on his bike?

Answers

Answer 1

Answer:

Roller skates speed = 9 miles per hour

Bike speed = 17.5 miles per hour

Step-by-step explanation:

On roller-skates, Ian can travel 3/4 of a mile in 5 minutes.

Speed = Distance(miles)/Time(hours)

Convert 5 minutes to hour

60 minutes = 1 hour

5 minutes = 5/60

= 1/12 hour

Hence, his speed =

3/4mile ÷ 1/12

= 3/4 × 12/1

= 9 miles per hour

On his bike, he can travel 3 1/2 miles in 12 minutes.

Convert 12 minutes to hour

60 minutes = 1 hour

12 minutes = 12/60 = 1/5

Hence, his speed =

3 1/2 mile ÷ 1/5

= 7/2 ÷ 1/5

= 7/2 × 5/1

= 35/2 miles per hour

= 17.5 miles per hour


Related Questions

This weekend, they plan to ride a bicycle with a total mileage of 3 3/4. If they travel 2 1/4 miles and take a break, how many miles will they need to travel?

Answers

Answer:

1 1/2 miles

Step-by-step explanation:

Total mileage needed = 3 3/4 mies

Amount taken = 2 1/4 miles

Amount they still need to travel = Total-amoutnt taken.

Amount they need to travel = 3 3/4 - 2/1/4

Convert to improper fractions

Amount they need to travel = 15/4-9/4

Amount they need to travel= 6/4

Amount they need to travel = 1 2/4

Amount they need to travel= 1 1/2 miles

A sandwich shop has 60 stores and 60% of the stores are in California. The rest of the stores are in Nevada. How many stores are in California and how many are in Nevada?

Answers

60x0.6=36 in California

60-36=42 in Nevada

60 x 0.6 = 36 therefore 36 shops are located in California which means 24 shops must be located in Nevada to total up to 60 overall stores

Which is NOT true?
A 7 + 7 = 19 - 5
B 9 + 9 = 11 + 7
C 19 = 13 + 5
D 20 - 12 = 4 + 4

Answers

Answer:

C

Step-by-step explanation:

13+5=18 not 19 therefore C is not true

The answer is the letter C

what is the equation of the line will mark you brainliest

Answers

so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)

(7-(-2))/(0-8)

simplify

9/-8

simplify -9/8

now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.

y=mx+b

-2=(-9/8)(8)+b

multiply (-9/8) by 8 to get -9

-2=-9+b

add 9 to both sides

7=b

so our equation is now

y=-(9/8)x+7

I am confused on how to do this.​

Answers

The answer is A.....

An artist plans a sculpture by stacking two cubes. Write an algebraic expression the artist can use to find the volume of the sculpture. Then find the volume of the sculpture when x = 4cm. *Hint: V=s3

Answers

Answer:

[tex]V= 2x^3[/tex]

The volume is 128cm^3

Step-by-step explanation:

Given

[tex]Cubes = 2[/tex]

[tex]Sides = 4cm[/tex]

Required

Determine an expression for its volume

Find the volume

Volume of a cube is:

[tex]Volume = x^3[/tex]

Where x represents the length of a side

So, volume of 2 cubes would be:

[tex]V= x^3 + x^3[/tex]

[tex]V= 2x^3[/tex]

Solving (b): Volume when x = 4

Substitute 3 for x in [tex]V= 2x^3[/tex]

[tex]V = 2 * 4^3[/tex]

[tex]V = 2 * 64[/tex]

[tex]V = 128[/tex]

Hence, the volume is 128cm^3

If y'll need a brainiest and you have 6 or less answer this question! Just trying to help!

Answers

Answer:

wait but do you have a question still or???

help me with this fast

Answers

Answer: delete this please

Answer:

For 60: 120

For 65: 115

For 55: 125

( I mean I could be wrong but thats what I got)

Step-by-step explanation:

Please help me with my work

Answers

Answer:

1. y-4=2(x-2) 2.y-4=1/3(x- -4)

Step-by-step explanation:

Point slope form can be written as y-y1=m(x-x1)

(x1,y1) represents the coordinates provided

m= the slope, which is also provided in the question

Simply fill in the provided numbers into the point slope form equation

hope this helps and take care

Which expression is equivalent to
1567
A)
5 x 5 x 5 x 5 x 5 x 5
B)
6 x 6 x 6 x 6 x 6 x 6 x 6
C)
6 x 5
D)
5/6


Answers

Answer:

A

Step-by-step explanation:

5*5*5*5*5*5

Answer:

the answer is a

Step-by-step explanation:

A cell phone plan costs `\$200` to start. Then there is a `\$50` charge each month. Let x represent the number of months, let y represent the total cost of the plan. Write an equation to represent this situation.

Answers

Answer:

y=50x+200

Step-by-step explanation:

Step one:

given data

cost of plan = $200

monthly charge= $50

let the number of months be x

and the total be y

Step two:

Required

the equation to represent the situation is the same as the straight line equation

y=50x+200

     

The graph shows the relationship between the length of time Ted spends knitting and the number of scarves he knits.

What does 161616 mean in this situation?
Choose 1 answer:
Choose 1 answer:

Answers

Answer:

The answer is C It takes Ted 16 hours to knit a scarf.

Step-by-step explanation:

I got it on Khan.

Answer:

c

Step-by-step explanation:

determine the resulting polynomial
f(x)=9x+2
g(x)=-4x^2-5x+1

Answers

Answer:

ithink ilove u so much ..,......

This is for a grade,Please help me out as much as you can!!!

Answers

Answer:

a

Step-by-step explanation:

Which of the following equation have infinitely many solutions?

Answers

The answer is C. Because they are the same, any number you replace X with will result in a right equation.

Answer:

C

Step-by-step explanation:

Write the slope-intercept form an equation of the line that passes through the points (-2,1) and (3,1)

Answers

Answer:

y=mx+b

y=1

Step-by-step explanation:

Worth 25 points!
Simplify these equations with steps please.
√-48
√-63
√-72
√-24
√-84
√-99

Answers

Answer:

Step-by-step explanation:

sqrt(i^2*16*3) = 4i[tex]\sqrt{3\\}[/tex]

sqrt(i^2*9*7) = 3i[tex]\sqrt{7}[/tex]

sqrt(i^2*36*2) = 6i[tex]\sqrt{2}[/tex]

sqrt(i^2*6*4) = 2i[tex]\sqrt{6}[/tex]

sqrt(i^2*4*3*7) = 2i[tex]\sqrt{21}[/tex]

sqrt(i^2*9*11)= 3i[tex]\sqrt{11}[/tex]

algebra test so please don’t answer unless you know you’re right.

Answers

Answer: I found the perimeter of the rectangle I got: 10x+4

Step-by-step explanation:

pleaseee helppp ASAPP

Answers

Answer:

(-4,22)

Step-by-step explanation:

Answer:

(- 4, 22 )

Step-by-step explanation:

To determine which point lies on the graph, substitute the x- coordinate of the point into the equation and if the value obtained is equal to the y- coordinate of the point then it lies on the graph.

(1, - 2 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 2 ← not on graph

(- 4, - 10 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ≠ - 10 ← not on graph

(- 4, 22 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ← lies on graph

(1, - 10 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 10 ← not on graph

what is the rate of change please help asap

Answers

the rate of change is 5

Can anyone help me with H?

Answers

Answer:

13 units

Step-by-step explanation:

It is an equilateral triangle, so all sides have the same length

If a sprinkler waters 1 over 8 of a lawn in 1 over 4 hour, how much time will it take to water the entire lawn?

a
3 over 8 hour

b
1 over 2 hour

c
2 hours

d
4 hours

Answers

C

1/8 of the lawn in 1/4 of an hour. That mean you would need a whole hour to do 4/8 or 1/2 of the lawn. So you would need two hours to do the whole lawn.
C-2 hours because if you multiply 1x4=4 1x8=8 and then you simplify by 4 and you got 2/1

A standard showerhead in Marty's house dispenses 7 gallons of water per minute. Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x How much water does Marty save each day with the change in showerheads if he uses the shower for 8 minutes each day? 4 gallons 12 gallons 32 gallons 53 gallons

Answers

Answer:

32 gallons

Step-by-step explanation:

A standard showerhead in Marty's house dispenses 7 gallons of water per minute. If he showers for 8 minutes, he uses:

1 minute = 7 gallons

8 minutes = x

x = 7 × 8 minutes = 56 gallons of water

We are told that:

Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x

The equation for the energy saving shower:

y = 3x

Where x is the number of minutes spent in the shower

For 8 minutes

y = 3 × 8

y = 24 gallons

The gallons of water Marty saved each day with the change in showerheads if he uses the shower for 8 minutes each day is calculated as:

56 gallons - 24 gallons

= 32 gallons

Plot 2 points 7 units away from 3 in both directions.What are the numbers

Answers

Answer:

-4 and 10

Step-by-step explanation:

the numbers decrease as you go left. 3-7= -4. and they increase going right. 3+7= 10.

6th grade math i mark as brainliest​

Answers

Answer:

4

Step-by-step explanation:

2^2=2+2=4

5
A line passes through the point (-4, 2) and has a slope of
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=\frac{5}{4}x+7[/tex]

Step-by-step explanation:

We can start by setting up what we know of the slope-intercept equation, which is the slope.

[tex]y=\frac{5}{4}x+b[/tex]

Now, we can use the given point to find the y-intercept.

[tex]2=\frac{5}{4}(-4)+b\\ 2=-5+b\\b=7[/tex]

And now we are able to write the slope-intercept equation.

[tex]y=\frac{5}{4}x+7[/tex]

I hope this helps!

PLZ HELP ME FAST!!!! 10 points
Analyzing a Scatter Plot
On a graph, points are scattered all over the graph.

Determine if there is a correlation and slope for the scatterplot.

A. positive correlation, positive slope

B. negative correlation, negative slope

C. negative correlation, positive slope

D. no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

got it right on edge

Answer:

the answer is D) no correlation

Step-by-step explanation:

Need help ASAP please!

Answers

Answer:29

Step-by-step explanation:

In the complex number system, which expression is equivalent to (3 - 5i) - (7 - 81)?
0-4 + 3i
0-19-591
0 10 - 131
0-4 - 131

Answers

The answers is b because that the answers

A 2-column table with 4 rows titled How many text messages do you send a day question mark. Column 1 has entries 0-50, 50-100, 100-150, more than 150. Column 2 has entries 10 percent, 75 percent, 10 percent, 5 percent.
The 4,000 students at Tech High were surveyed about their use of text messaging. How many students said they text 50-100 times a day?




students

Answers

Answer:

3000

 

Is Your Answer    

Answer:

3000

Step-by-step explanation:

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