1. Brand A scooter has a top speed that goes 2 miles per hour faster than Brand B. If after 3 hours, Brand A scooter traveled 24 miles at its top speed, at what rate did Brand B scooter travel at its top speed if it traveled the same distance? Write an equation to determine the solution. Identify the if-then moves used in your solution.

Answers

Answer 1

Answer:

6 miles/hr

Step-by-step explanation:

Given:

Top speed of Brand A scooter goes 2 miles per hour faster than Brand B.

Distance traveled by brand A scooter on its top speed in 3 hours = 24 miles

To find:

The rate at which brand B traveled the same distance at its top speed ?

Solution:

Let the top speed/rate of brand B scooter = [tex]x[/tex] miles/hr

According to question:

Top speed/rate of brand A scooter = [tex]x+2[/tex] miles/hr

Formula:

[tex]Distance = Speed \times Time[/tex]

Distance is given to be equal to 24 miles:

24 = ([tex]x+2[/tex]) [tex]\times 3[/tex]  ...... (1)

Solving the above equation by first dividing the equation on both sides with 3:

[tex]\dfrac{24}{3} = \dfrac{(x+2)\times 3}{3}\\\Rightarrow 8 = (x+2)[/tex]

Now subtracting 2 from both the sides:

[tex]\Rightarrow 8-2=x+2-2\\\Rightarrow x=6\ miles/hr[/tex]

Therefore, the answer is:

Top speed of scooter B is 6 miles/hr.

The if-then moves used to solve the equation (1) are:

Dividing by a non zero number on both sides, then subtracting a number on both sides.


Related Questions

What is 2 ^ 5/3 raised to the third power? Simplify your answer.

Answers

Answer:

2^5 or 32

Step-by-step explanation:

Maybe Answer: 2^5 or 32

y = -5x - 8
y = 4x + 1

Answers

Answer:

X= -1

Y= -3

Step-by-step explanation:

y=-5x-8

y=4x+1

-5x-8=4x+1

+5x. -1 +5x -1

-9=9x

-1=x

Y=4(-1)+1

-4+1

Y=-3

How to do solving equations in two variables​

Answers

Answer:

plz give me brainly but the answer is

Step-by-step explanation:

In a two-variable problem rewrite the equations so that when the equations are added, one of the variables is eliminated, and then solve for the remaining variable. Step 1: Multiply equation (1) by -5 and add it to equation (2) to form equation (3) with just one variable.

What is the equation of this line?


A. y=2x−3

B. y=−12x−3

C. y=−2x−3

D. y=12x−3

Answers

Answer:

2×-3 is the best equation for this.

Answer: y=2x-3

Step-by-step explanation:

Round 10,463.24 to the nearest whole number.

Answers

Answer:

10,643.24
Hope it helps

I’ll give brainliest

Answers

Answer:

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7 ⇒ C

Step-by-step explanation:

Let us revise some important notes about the slope and y-intercept of a line

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the left

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negative

To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 2)

→ That means b in the equation = 2

∴ The number in the equation is 2

→ Look at the answer we have two answers have negative slope and

   y-intercept 2 in the left hand side ⇒ C and D

∴ The equation of the blue line is represented by the left side [tex]-\frac{1}{4}[/tex] x + 2

→ that means the equation of the red line is represented by the right side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

→ Only C has a positive slope in the right side

∴ The equation of the red line is represented by 2x - 7

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7

Another way:

You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph

WILL MARK BRAINLIEST!!
Read and answer
try ur best :)

Answers

Answer:

C

Step-by-step explanation:

Answer:

It is 1.50

Step-by-step explanation:

For which function is f(5) = 2?
2x
y
107
1
3
f(x) = x-3
2.
5
9
8
7
6
5
4
3
2
3
7
4.
9

Answers

Answer: the answer is A ( first one)

Step-by-step explanation:

i just took it and got it write

graph a right triangle with the two points 4,5 and -4,8​

Answers

Answer:

Step-by-step explanation:

Please write points using parentheses:  (4, 5) and (-4, 8}.

(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5).  From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4).  This sloping line is the hypotenuse of a right triangle.  Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5).  This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.  

help me pleaseeeeeeeeee

Answers

Answer:

I believe its B or C

Step-by-step explanation:

Im sorry if its wrong, if its right can you mark me brainliest?

If B is between C and D, BC = 10 in., and BD = 3 in., then CD = ________.

Answers

if B is between C and D, BC= 10 in., and BD=3 in., then CD =2AD

Answer: CD is 13
See attached picture

Mary’s mother invested in an internet stock the price went up and down over the next few months: +32, -10 +13 -25 at the end of the time period had the price of the stock finished higher or lower than it started show work

Answers

Answer:

higher

Step-by-step explanation:

add all of these numbers, if the sum is positive it is higher, if the sum is negative it is lower

32-10+13-25=10, this is positive so it is higher

You are purchasing plants and have 30 dollars.A mall plant cost $2.00 and a large plant cost $6.00 Let x represent the number of small plants and y represent the number of large plants write in standard form.

A.6y=2x+30
B.2x+6y=30
C.2y+6x=30
D.-2x-6y=30

Answers

Answer:

id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30

Step-by-step explanation:

id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30

good luck and have fun :)

Each sheep has 4 legs and each chicken has 2 legs. If a farm boy counts 50 heads and 140 feet, how many sheep are there?

1. 30 sheep
2. 20 sheep
3. 10 sheep

Answers

Answer:

20

Step-by-step explanation:

H+S=50

2H+4S=140

4H+4S=200

4H+4S=200-

2H+ 4S =140

2H=60

H=30

50-30=20

Given:

Each sheep has 4 legs and a chicken has 2 legs.

A farm boy counts total heads = 50

And number of legs = 140

To Find:

Number of sheep.

Solution:

Let the number of sheep in the farm = s

And the number of chicken in the farm = h

If the total number of heads = 50

s + h = 50 ------- (1)

If the total number of the legs = 140

Number of legs of 's' sheep = 4s

Number of legs of 'h' chicken = 2h

Therefore, 4s + 2h = 140

2s + h = 70 -------(2)

Subtract equation (1) from equation (2),

(2s + h) - (s + h) = 70 - 50

s = 20

Therefore, 20 sheep are in the farm.

Learn more to solve the equations,

https://brainly.com/question/16566965

Which is the best approximation for sqrt 55
A) 7
B) 7 2/5
C) 7 7/15
D) 8

Answers

The best approximation for sqrt 55 would be: B) 7 2/5

For the bake sale, connie baked 144 cookies. Esther bakes 49 more cookies than Connie.

Answers

Answer:

it is 198 i beleive

Step-by-step explanation: because there's 144 plus 49 so that makes 198

it.
2. 5,907
What is the place and value of the 9

Answers

Answer:

25.907= 9 terceira casa a direita ( centena), 900.

What is the domain of the function below?

A.


B.


C.


D.

Answers

Answer:

A

Step-by-step explanation:

Hold on servers are swamped please wait.

Please help me with this question. Hope to get answers asap!

Answers

Answer: Approximately 7.4162

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\sqrt\\ 55[/tex] = 7.416198487095663, rounded to the nearest integer is 7.

Kira started a game at 4:37 PM and finished it at 5:16 PM.
How long did it take her? Give your answer in minutes.

Answers

Answer:

39

Step-by-step explanation:

4:37 till 5:00 is 23 minutes.

+ 16 minutes

= 23 + 16

Answer:

39 minutes

Step-by-step explanation:

First, find how much time passed between 4:37 PM and 5 PM.

Since there are 60 minutes in an hour, subtract 37 from 60:

60 - 37

= 23

There are 16 minutes in between 5 PM and 5:16 PM.

So, add the 23 minutes to 16:

23 + 16

= 39

So, it took her 39 minutes

(2x+4)/3=6

x=

what does x = i need help quick

Answers

Answer:

15

Step-by-step explanation:

x=7

multiply 6 by 3 to get it out of the left side =18
subtract 4 from both sides
divide 2 by both sides

solve for w
3 - 3w = 6​

Answers

Answer:

w equals negative 1one

Please help me with this algebra problem, it’s in the picture. I’ll give you brainliest if it’s correct!!

Answers

Please Mark brainliast

please

To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.


HELP PLS MY TEACHER NEEDS IT DONE NOW​

Answers

Answer:

11286

Step-by-step explanation:

The volume of a box or a cube is base time height times height.

base × width × height = volume

19 x 22 x 27 = volume

=11286

Hope this helps!

It can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

What is the volume of a Cuboid?

The volume of a cuboid is given by -

V = L x B x H.

where -

L is the length

B is the breadth

H is the height

Given is a statement made by a student who says - To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.

Since the dimensions of the base represent a rectangle, We can place 27 layers over it one after the another, the resulting figure will be a cuboid, such that the height of the cuboid will 27 units. The volume of the box will be -

Area of its base x 27

Or we can write -

19 x 22 x 27

11286 units³

Therefore, it can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

To solve more questions on Cuboids, visit the link below-

https://brainly.com/question/24175529

#SPJ2

3.d) A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to all triangles? * O 4:12 O 12:4 O 4:1 O 1:4​

Answers

Answer is D) 1:4

Explanation:

For every 4 blue, we have 12 yellow. This means 4+12 = 16 total.

The ratio of blue to total is 4:16 which reduces to 1:4 when we divide both parts by 4. The order of the values matters since 1:4 is different from 4:1.

hello guys please help 96 ÷ 3

Answers

Answer: 32

Step-by-step explanation:

This is a simple question:

If you want to know if its divisible by 3 then just add up the digits in 96.

In this scenario 3 is divisible because 9+6=15 and 15 divided by 3 = 5

Now use long division to solve:

96 divided by 3 = 32

Hope this helps! :)

BRAINLIEST

Charlie makes $425.25 in sales each month. How much money should expect to make in 2.5 years?

Answers

Answer:

$12,757.50

Step-by-step explanation:

2.5x12=30 months

30months x 425.25= 12,757.50

Need help ASAP! Tysmm

Answers

Answer:

26

Step-by-step explanation:

-4*2+3*4-2

16+3*4-2

16+12-2

28-2

26. PEMDAS

Answer this question to get brainlist

Answers

Answer:

The answer is D

Answer:

The answer is D

Step-by-step explanation:

A is incorrect because since 1 and 7 are both on the bottom half so they are congruentB is incorrect because 3 and 5 are both on the bottom half so they are congruent as wellC is incorrect for the same reason as A and BD is correct because they are both on the top half which means they cant be congruent

      Thus your answer would be D

Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?

Answers

Answer:

18

Step-by-step explanation

18 wings costs exactly 30.60

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