A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour? Part A Estimate the quotient. Include an equation to show your work. Explain

Answers

Answer 1

Answer:

17.4 miles

Step-by-step explanation:

Step one:

given data

time takent= 3.5hours

distance = 60.9miles

the average speed is given as

Average speed= distance/time

Average speed= 60.9/3.5

Average speed= 17.4mph

Step two:

we are told that the speed was actually maintained, so we used the previous value obatained for the following computation

For a time taken as 1 hour, the distance will be

distance= average speed * time

distance= 17.4*1

distance= 17.4 miles

Answer 2

Answer:

Step-by-step explanation: A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour?


Related Questions

A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6. 1.In this situation, what does the solution to the equation represent? 2.Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6. Equation A: 15b + 4 = 25.6 Equation B: 15b + 4 = 25 Equation C: 3(0.6 + 15b + 4) = 76.8 Equation D: 15b = 25.6 Equation E: 15b = 21

Answers

Answer:

Equation E, Equation B, Equation C are equivalent

Step-by-step explanation:

Given Equation:

0.6 + 15b + 4 = 25.6

Check all that applies

Equation A: 15b + 4 = 25.6

0.6 + 15b + 4 = 25.6

15b + 4 = 25.6 - 0.6

15b + 4 = 25

NOT CORRECT

Equation B: 15b + 4 = 25

0.6 + 15b + 4 = 25.6

15b + 4 = 25.6 - 0.6

15b + 4 = 25

CORRECT

Equation C: 3(0.6 + 15b + 4) = 76.8

0.6 + 15b + 4 = 25.6

Multiplying both sides by 3

(0.6 + 15b + 4) ×3 = 25.6 × 3

(0.6 + 15b + 4) ×3 = 76.8

CORRECT

Equation D: 15b = 25.6

0.6 + 15b + 4 = 25.6

NOT CORRECT

Equation E: 15b = 21

0.6 + 15b + 4 = 25.6

15b = 25.6 - 0.6 - 4

15b = 21

CORRECT

Equation E, Equation B, Equation C are equivalent

Solve
Log(x-1)+log(2)=7

Answers

Answer:

x is 6 i believeee if you're solving for x!!

Step-by-step explanation:

Answer:

x = 1 + 0.5 * 10^7

Step-by-step explanation:

Use log(a) + log(b) = log(ab).

log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7

Using log(a) = b <=> a = 10^b

log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7

Mr. Borden was given a $50 gift card to use at the bowling alley. It costs him $10 per night to bowl. Each time he goes to the bowling alley he records the amount he has used and the amount he has left. If x is the number of nights bowled, b(x) is the balance on the gift card. Discreet

Answers

Answer:

He initially has $50 on his card.

For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:

b(x) = $50 - $10*x

Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.

Then the domain of this function will be discrete (and this implies that the range must also be discrete)

Where the possible values of x are:

{0, 1, 2, 3, 4, 5}

(after x = 5, there is no more money in the card)

And the possible values of b(x) are:

{$0, $10, $20, $30, $40, $50}

If $500 was earned on $10,000 total worth of sales, then the commission rate is:

Answers

The commission rate would be 5% hope this helps :)

Find the slope between the two points: (20, 8), (9, 16)

Answers

Answer:

[tex] \huge - \frac{8}{11} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{16 - 8}{9 - 20} = \frac{8}{ - 11} = - \frac{8}{11} \\ [/tex]

We have the final answer as

[tex] - \frac{8}{11} \\ [/tex]

Hope this helps you

Answer:

[tex] \huge \boxed{ \boxed{ \tt - \frac{8}{11} }}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:linear equationslopePEMDASgiven:points:(20,8),(9,16)to find:slopetips and formulas:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]let's solve:

let (20,8) and (9,16) be start and end points respectively

according to the question

[tex] \sf\frac{8 - 16}{20 - 9} [/tex][tex] \sf substract : \\ \sf \frac{ - 8}{11} [/tex]

and we are done

There are 16 circles and 12 squares. What is the simplest ratio of squares to circle

Answers

Answer:

4:3

Step-by-step explanation:

divide each by 4

b) y = x2 - 10
d) y = x3 - 9
f) y = (x - 2)2
h) y = (2x + 3)

Answers

What exactly are you asking? Can you maybe describe it more please?

What is the simplified form of 1 over x minus 2 over x squared minus x ? (1 point)

x minus 1 over the quantity x times x plus 1
1 minus x over the quantity x times x plus 1
3 minus x over the quantity x times x minus 1
x minus 3 over the quantity x times x minus 1

Answers

Answer:

3y times the quantity 2x minus 1 over x times the quantity x minus 2

Step-by-step explanation:

Answer:

3y times the quantity 2x minus 1 over x times the quantity x minus 2

Step-by-step explanation:


What number is 60% of 80?
Input only whole numbers.

Answers

Answer:

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\red{S}\green{W}\purple{E}\blue{R}}}[/tex]

[tex] 60\% \: of \: 80 \\ = \frac{60}{100} \times 80 \\ = \frac{4800}{100} = 48[/tex]

[tex]\color{purple}{HOPE}[/tex] [tex]\color{purple}{THIS}[/tex] [tex]\color{purple}{WILL}[/tex] [tex]\color{purple}{HELPS}[/tex] [tex]\color{purple}{YOU}[/tex]

Solve d - (-2) = 19 for d.

d =

Answers

Answer:

D = 17

Step-by-step explanation:

17 - (-2) = 19

Answer:

D=17

Step-by-step explanation:

..................

The coordinates of point K are (−3, 4.5). Which statement tells how to locate point K on the coordinate plane?

Answers

Answer:

-3

Step-by-step explanation:

A 2-gallon jug of water costs $14.24. What is the price per quart?

Answers

Answer:

p

Step-by-step explanation:

p

2x - x -1 = -1 + x
I need help on this problem may you help please

Answers

Answer:

x=0

Step-by-step explanation:

What is the ratio of 4 red apples and 3 green apples

Answers

Answer:

4:3 8:6 12:9 so on

Step-by-step explanation:

Answer:

4 to 3 or 3 to 4

Step-by-step explanation:

depending on how the question is worded if its red the green then 4 to 3 but if it green to red then its 3 to 4.

PLEASE HELPPP IDEK WHEN WE LEARNED THISSS

Answers

Answer:

1 in 52 I THINK DONT BE MAD IF ITS WRONG :(

Step-by-step explanation:

Because there are 52 cards in the deck and you need to pull out 1 card so its 1 in 52 chance

1 of 13 because there are 4 different sets of numbers, letters, shapes, and colors for each.

Simplify
20
What the answer?

Answers

Answer:

2√5

Step-by-step explanation:

√20

√4 ×√5

2√5

Follow Me Please

Answer:

2√5

Step-by-step explanation:

√20=√2⋅2⋅5. =√22⋅5. =2√5.

jackie rode his bike 20 miles per hour for 1 1/2 hours. how far did he ride?

Answers

Answer:

30 miles.

Step-by-step explanation:

To calculate distance traveled, you multiply the miles per hour by the number of miles. In this problem, it is 20 times 1.5 or 20 times 1 1/2. This equals 30 miles per hour.

Divide the fractions. Don’t simplify

3/4 divided by 5/2

Answers

The answer is three-fourths
It will be cool if I can be brainliest

2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 34 centimeters and the width is 12 centimeters, what is the perimeter?
a. 78 cm b. 105 cm c. 85 cm d. 92 cm

Answers

Answer:

d. 92 cm

Step-by-step explanation:

P = 2(34 + 12)

P = 2(46)

P = 92

Answer:

is it d or 92

Step-by-step explanation:

Answer all questions

DO NOT ANSWER IF YOU DO NOT KNOW
DO NOT SCAM

Answers

Answer:

1. The Industrial Revolution had many positive effects. Among those was an increase in wealth, the production of goods, and the standard of living. People had access to healthier diets, better housing, and cheaper goods. In addition, education increased during the Industrial Revolution.

3.Socialism is an economic and political system. It is an economic theory of social organization. It states that the means of making, moving, and trading wealth should be owned or controlled by the workers. This means the money made belongs to the workers who make the products, instead of groups of private owners.

6.Under capitalism, you work for your own wealth. ... Socialist systems emphasize equal distribution of wealth among the people. Communism. In a way, communism is an extreme form of socialism.

Step-by-step explanation:

     that's all I know!!

Three is less than the sum of a number x and 4.

Answers

Answer:

3 < x+4

Step-by-step explanation:

The less than symbol is <

3 is less than the sum ( add) of x and 4

3 < x+4

Solving

Subtract 4 from each side

3-4 < x+4-4

-1 <x

The discount of a hat is 18 Dollars,

what is the regular price

20°/• discount​

Answers

Answer:

14.4 dollars

Step-by-step explanation:

the Hat has 20 percent discount

The Hat with discounted price is 18 dollars

the 20% of 18 dollar is 3.6 dollars

hence if we subtract 3.6 dollars from 18 dollars

we get 14.4 dollars as regular price

How can 14 x 50 help you find 14 x 49?

Answers

Answer/Explanation:

It might not help you figure out the exact answer, but it definitely helps you estimate. By knowing that 14x50=700, you can guess that 14x49 equals something close to 700.

Hope this helps! Have an amazing day ❤

It can help because 14x 50 equals 700 and if you subtract 14 from 700 you will get 686 which is the product of 14 X 49 :)

PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch ​

Answers

graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5

graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2

graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4

graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3

I don't know if it's right tho :C

Answer:

The amount of fruit syrup Rex added is: 3 liters

and the amount of water he added is: 4 liters.

Step-by-step explanation:

3y = 2x + 6

x + y = 7

y = 7 - x

3(7 - x) = 2x + 6

21 - 3x = 2x + 6

21 - 6 = 2x + 3x

15 = 5x

15/5 = x

3 = x

x + y = 7

3 + y = 7

y = 7 - 3

y = 4

Solution is (3,4)

help me figure out the icons numbers plzzz​

Answers

Answer:

ahhhhhhhhhhh

Step-by-step explanation:

Okay so for the present imagine it as x-3-×=13, then 2x=16, x=8. So the present box represents 8. When applied to the other questions you will find it that the squirrel is 6, the carrot is 2, and the snowman/green question mark is 5.

Greg went to Bed Bath and Beyond to buy Christmas gifts for his family this year. In his first trip he bought 4 candles, 5 wallflowers, and 6 lotions for a total of $123. Greg forgot some people on his list the first time so he makes a second trip and spent $48 to buy 2 candles, 3 wallflowers, and 1 lotion. The price of a lotion is 2 less than 2 times the price of a wallflower. How much does each item cost?

Answers

Answer:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

Step-by-step explanation:

Let cost of a candle = [tex]x[/tex]

Let cost of a wallflower = [tex]y[/tex]

Let cost of a lotion = [tex]z[/tex]

Cost of 4 candles = 4[tex]x[/tex]

Cost of 5 wallflowers = 5[tex]y[/tex]

Cost of 6 lotions = 6[tex]z[/tex]

Cost of 2 candles = 2[tex]x[/tex]

Cost of 3 wallflowers = 3[tex]y[/tex]

Cost of 1 lotion = [tex]z[/tex]

As per question statement:

[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]

Using equation (3) in (1) and (2), the equations get reduced to :

[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]

Multiplying (5) with 2 and subtracting from equation (1):

[tex]7y = 35\\\Rightarrow y = 5[/tex]

By equation (3):

[tex]\Rightarrow z =8[/tex]

By equation (4):

[tex]\Rightarrow x = 12.5[/tex]

Therefore, the answer is:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

express the scientific notation:4830000000 with all formula​

Answers

number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

What is the slope of the line graphed on the coordinate plane?​

Answers

Answer:

3/4 slope

Step-by-step explanation:

Mark me brainleist please ;c

don’t make me cry ;c

Step-by-step explanation:

When the line moves up 3 blocks, it also moves across 4 blocks.

Therefore the slope of the line is 3/4.

One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]

Here, base is a square, so area of base = [tex](Side)^2[/tex]

[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]

Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500

y < -6( x − 18) − 2 when y = 46?

Answers

Well since y would be 46 if this is just you trying to find x, the answer would be x < 10

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