Aaron is bicycling on a bike trail at an average of 10 miles per hour. Jada starts cycling on the same trail 30 minutes later. If Jada averages 16 miles per hour, how long would it take her to pass Aaron?

Answers

Answer 1

Answer:

36 miles per hour

Step-by-step explanation:

36 miles per hour


Related Questions

is y=x/4 a proportional relationship

Answers

Answer:

yes

Step-by-step explanation:

The function f(x) = x/4 represents a proportional relationship.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent.  A straight line represents a proportional relationship. Mathematically -

y = mx + b

(y - b)/x = m       [m is constant]

or

y = mx

m = y/x               [m is constant]

Given is the following function -

y = x/4

We have -

f(x) = x/4

Now, we know a straight line represents a proportional relationship. The general form of equation representing the proportional relationship is -

y = mx

where -  [m] is constant

y = x/4

y = (1/4)x

On comparing, we get -

m = 1/4

Hence, the function f(x) = x/4 represents a proportional relationship.

Therefore, the function f(x) = x/4 represents a proportional relationship.

To solve more questions on proportional relationship, visit the link below-

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For a segment of a radio show a disc jockey can play 8 records. If there are 10 records to select from, in how many ways can the program for thid segment be arragned

Answers

Answer:

45 ways

Step-by-step explanation:

Combination method is appropriate for this question since it deals with arrangement.

i.e [tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{(n - r)!r!}[/tex]

Since 8 records are to be selected from 10 available records. Then, the number of ways for the arrangement of the records can be determined as;

Let n = 10 and r = 8

[tex]^{10}C_{8} }[/tex] = [tex]\frac{10!}{(10 - 8)!8!}[/tex]

       = [tex]\frac{10!}{2!8!}[/tex]

       = [tex]\frac{10*9*8*7*6*5*4*3*2!}{2!8*7*6*5*4*3*2!}[/tex]

       = [tex]\frac{10*9}{2}[/tex]

       = 45

Therefore, the number of ways by which the records can be arranged is 45.

if BD and EG are parallel lines and m∠DCF = 125°, what is m∠DCA

Answers

Answer:

55

Step-by-step explanation:

FCA equals 180 degrees so you subtract 180 from 125 and get 55 degrees.

Answer:

55

Step-by-step explanation:

Just subtract 180 and 125

You said that m∠DCF = 125° right?

And the m∠DCF and m∠DCA are linear pair because they have angles that share a side, so supplementary angles = 180

m∠DCF + m∠DCA = 180

replace (since m∠DCF = 125):

125 + m∠DCA = 180

-125                           -125

m∠DCA = 180 - 125

m∠DCA = 55

A student finished a 30 question test in 75 minutes . Which rate best represents the relationship between the numbers of minutes spent on test questions and the number of questions?

Answers

30 questions/75 mins

1 question/2.5 mins is your answer

Answer:

It dosent say at this rate so all you need is this

Minutes/ questions which your answer is

75/30

A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (5,3). Find the slope of the linear function. Write the slope in fraction form.​

Answers

Answer:

x - 5y = - 10

Step-by-step explanation:

y = mx + b (b is y-intercept)

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~

x + 4y = 8 ⇔ y = [tex]-\frac{1}{4}[/tex] x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)

(5, 3)

m = [tex]\frac{3-2}{5-0}[/tex] = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x + 2 (slope-intercept form)

x - 5y = - 10 (standard form)

please help me with these.. brainliest.​

Answers

Answer:

it will be on platform 9 3/4

Step-by-step explanation:

At Pablo’s Pizza Pie, medium cheese pizzas cost $12.50, large cheese pizzas cost $15, and a 3-liter bottle of soda costs $2.50. Kevin purchased one bottle of soda and 5 pizzas for his party. If he spent exactly $70, what combination of medium and large pizzas did he purchase?

Answers

Answer:

3 medium and 2 large pizzas.

Step-by-step explanation:

70= 2.5+(12.50x+15y)

70-2.5=67.5

Possibilities

67.5=12.5(1)+15(4) FALSE(72.5)

67.5=12.5(4)+15(1) FALSE (65)

67.5=12.5(2)+15(3)FALSE(52.5)

67.5=12.5(3)+15(2)

TRUE (67.5)

Where will the lines y= -2/5x + 1 and y= -2/5x - 2 intersect?

Answers

Answer:

Never

Step-by-step explanation:

Their slope is the same so they will go down the same distance every time, and since the first one touches the y-intercept at 1 and the other one touches the y-intercept at -2, it is completely impossible for them to ever intersect

four bottles cost 2.5 dollars. Find the price of each bottle

Answers

63 cents (rounded from .625)

To get the price of each bottle, all you would have to do is divide 2.5 by 4, so 2.5/4.

Then you would get .625, and round to .63. To check if it’s the right answer, just multiply .625 by 4.

Hope that helps !
You divide 2.5 from 4 and get 63 so $.63

answered Which of the following values are solutions to the inequality -9>-4+5x

Answers

Answer:

-1>x

Step-by-step explanation:

DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of tea representing the charge remaining in series battery as percentage tea hours after Sara left her house

Answers

Answer:

y=80-8x

Step-by-step explanation:

Bc the 80 is what it started at and the x represents the hour

(In y=mx+b form)

[tex]3x^{2} +9x^{2}-9x+9[/tex]

Answers

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[tex]3 {x}^{2} + 9 {x}^{2} - 9x + 9 = [/tex]

[tex](3 + 9) {x}^{2} - 9x + 9 = [/tex]

[tex]12 {x}^{2} - 9x + 9 = [/tex]

[tex]3(4 {x}^{2} - 3x + 3) [/tex]

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The figure is cut into 15 equal pieces. 2. Shade of the figure. 5​

Answers

Answer:

Each equal part is called one-fourth or a quarter of the whole sheet. Thus, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole. It is expressed as 1/4 and read as one over four or one upon four.

Step-by-step explanation:

Please help its 7to10 please as fast as possible I wanna sleep

Answers

Answer:

7. 2b and b are like terms, [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms

8. 6 and 7 are like terms, 2n and [tex]\frac{n}{4}[/tex] are like terms

9. m and 2m are like terms, 3³ and 2 are like terms

10. 6³ and 6² are like terms, y³ and 5y³ are like terms

Step-by-step explanation:

The like terms are the terms that have the same variable with the same powerAll numerical rational terms are like termsThe numerical terms with the same radical are like terms  

Let us solve from No. 7 to No. 10

#7

∵ The terms are 2b, [tex]b^{6}[/tex], b, [tex]x^{4}[/tex], 3[tex]b^{6}[/tex], 2x²

∵ 2b and b have the same variable and the same power

2b and b are like terms

∵ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] have same variable b and same power 6

[tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms

#8

∵ The terms are 6, 2n, 3n², 6m², [tex]\frac{n}{4}[/tex], 7

∵ 6 and 7 are numerical rational terms

6 and 7 are like terms

∵ 2n and [tex]\frac{n}{4}[/tex] have the same variable and the same power

2n and [tex]\frac{n}{4}[/tex] are like terms

#9

∵ The terms are 10k², m, 3³, [tex]\frac{p}{6}[/tex], 2m, 2

∵ m and 3m have the same variable and the same power

m and 2m are like terms

∵ 3³ and 2 are numerical rational terms

3³ and 2 are like terms

#10

∵ The terms are 6³, y³, 3y², 6², y, 5y³

∵ 6³ and 6² are numerical rational terms

6³ and 6² are like terms

∵ y³ and 5y³ have the same variable and the same power

y³ and 5y³ are like terms

Find the GCF of the following set of numbers
260, 80, 50

Answers

Answer:

10

Step-by-step explanation:

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

In all of these numbers, we can see that 10 is common throughout and 10 is also the greatest factor all these numbers share.

Hope this helps you :)

The answer is 10

Explanation:

help 6th grade math i will give brainliest

Answers

Answer: A) 175%

B) 260%

C) 171.43%

Step-by-step explanation:

Answer:

1.4/3

2.13/5

3.12/7

Step-by-step explanation:

m: -1/2 Point: (-1, 3) Solve for y=mx+b
Help

Answers

Answer:

y= (-1/2)x+(5/2)

Step-by-step explanation:

equation point slope

(y-y1)=m(x-x1)

y-3 = -1/2(x+1) add -3 to both sides and distribute

y=( -x/2) +(-1/2)+3 rewrite 3 as 6/2

y=(-1/2)x +(-1+6/2) solve

y= (-1/2)x+(5/2)

Simplify to create an equivalent expression.
8(10 - 6q) + 3(-7q- 2)
Choose 1 answer:

Answers

Answer: -69q+74

Step by step:
1. Use distributive property.

8⋅10+8(−6q) + 3(−7q − 2)

Multiply 8 • 10 then -6 • 8

80 - 48q + 3(-7q - 2)

2. Use distributive property again.

80 - 48q + 3(-7q - 2)

Multiply -7 • 3 then 3 • -2

80 - 48q -21q - 6

3. Simplify

Subtract 6 from 80 then subtract 21q from -48q.

-69q + 74


8(10 - 6q) + 3(-7q - 2) = -69q + 74
———
I hope this answers your question. :)

John ran 3 miles in 25.5 min the equation y = 8.5x can be used to represent this situation

Answers

Answer: All the answers to this page 47

Step-by-step explanation:

Here’s all the answers to this page 47

It’s on a PDF the link should be attached

In the equation, y = 8.5x the variable y represents time and x represents the distance in miles.

What is a linear equation?

The linear equation is defined as the equation having a degree of one or the power of the variable will be one. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that John ran 3 miles in 25.5 min the equation y = 8.5x. The equation is satisfying the answers. The solution will be calculated as follows:-

y = 8.5x

Here, the y variable is the total time and x is the distance in miles.

y = 8.5x

For 3 miles the time will be calculated as follows:-

y = 8.5 x 3

y = 25.5 minutes

Therefore, in the equation, y = 8.5x the variable y represents time and x represents the distance in miles.

To know more about the linear equation follow

https://brainly.com/question/1884491

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On Wednesday Mr. Miles walked in right at 9/10 of the trail then he walked one eights of the trail back and you stop to rest what fraction of the course with Mr. Miles from the beginning of the trail when he stopped

Answers

Answer:

31/40

Step-by-step explanation:

Given that:

Fraction of the trail walked intulally = 9/10

Fraction of the trail walked back = 1/8 before stopping to rest

His current distance from the beginning :

Distance walked initially - distance walked back

9/10 - 1/8

The L. C. M of 10 and 8 = 80

Hence,

9/10 - 1/8

= (72 - 10) / 80

= 62 / 80

= 31 / 40

Hence, his rest point or position is 31/40 from the beginning of the trail

Marshall is writing an equivalent equation to solve for x. What should be his next step? 5 x + 4 y = 8. 5 x + 4 y minus 4 y = 8 minus 4 y. 5 x = 8 minus 4 y.

Answers

Answer:

d)Divide both sides of the equation by 5.

Step-by-step explanation:

Marshall is writing an equivalent equation to solve for x. What should be his next step?

5x+4y=8

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

5x=8-4y

a)Add 5x to both sides of the equation.

b)Subtract 5x from both sides of the equation.

c)Multiply both sides of the equation by 5.

d)Divide both sides of the equation by 5.

5x + 4y = 8

Subtract 4y from both sides

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

5x = 8- 4y

Divide both sides by 5

5x / 5 = (8 - 4y) / 5

x = (8 - 4y) / 5

Marshall's next step should be to divide both sides of the equation by 5

Answer: D)Divide both sides of the equation by 5.

Step-by-step explanation:

got it right edge 2021

A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can the bag hold when filled?

Answers

75% is equal to 3/4
so, 36/3= 12*4=

48 calculators (ANSWER)

Jason traveled 26 miles. The first 2 hours his speed was 4 mph, and the rest of the way his speed was 3mph. How long was he traveling?

Answers

Answer: 8 hours

Step-by-step explanation: You would first multiply 2 hours by 4 mph, and get 8 miles. You would then subtract 8 miles from 26 miles, and have 18 miles left. You would now divide 18 miles by 3, as he is now traveling 3 miles per hour and needs to travel 18 miles. You would get 6 hours. You would now add 6 hours by the 2 hours initially traveled at 4 mph, and get 8 hours.

how do you calculate the area and perimeter of a slope triangle?

Answers

Answer:

How you find the area of a triangle is by, multiplying  two of the sides together  then multiplying that by 1/2 or .5 . To find the perimeter of the triangle add all the three sides together!

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is 9x + 3y = -27.
Fully reduce your answer.

Answers

Answer:

The slope is -3

Step-by-step explanation:

y=-3x-9

work out the area of a semi circle take pi to be 3.142 and five your answer to two decimal places

Answers

Answer:

what are the measurements of the semi circle

Step-by-step explanation:

u will get brainliest and all my points

Answers

Answer:

Step-by-step explanation:

The last step should be: using distributive property by taking out of parentheses the common factor √5

4√5 + 9√5 = √5(4 + 9) = 13√5

The error is made at the last step

it should be 13√5 instead of 13√10.

find all the zeros of the quadratic function
[tex]y = x^{2} - x - 20[/tex]

Answers

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[tex]y = {x}^{2} - x - 20[/tex]

[tex]y = (x - 5)(x + 4)[/tex]

To find the zeroes , Just need to put 0 instead of y .

[tex]0 = (x - 5)(x + 4)[/tex]

[tex](x - 5)(x + 4) = 0[/tex]

_________________________________

Hint :

[tex]a \times b = 0[/tex]

[tex]a = 0 \: \: \: or \: \: \: b = 0[/tex]

_________________________________

[tex]x - 5 = 0[/tex]

Add sides 5

[tex]x - 5 + 5 = 0 + 5[/tex]

[tex]x = 5[/tex]

Or

[tex]x + 4 = 0[/tex]

Subtract sides 4

[tex]x + 4 - 4 = 0 - 4[/tex]

[tex]x = - 4[/tex]

Thus the zeroes are :

( - 4 , 0 ) and ( 5 , 0 ) .

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QUICK I NEED HELP!!!
Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14 inches high. The new photo will be 132 inches wide. What will the new height be? Round to the nearest inch if necessary.

104 inches

146 inches

154 inches

168 inches

Answers

Answer:

168

Step-by-step explanation:

photos are enlarged by a certain factor, divide the new width by the old width and youll get the factor (12).

You can then multiply the original height by 12 to get the answer

12 X 14 =168

Answer:

D: 168.

Step-by-step explanation:

Divide the new width by the old width to find the scale factor of 12. Then multiply 12 by the old length of 14 to get 168 the new length.

4. A bottle contains 68 teaspoons of solution. The solution drops out of the bottle
at a constant rate during a 102-minute experiment. The bottle is completely empty
just as the experiment ends. At what rate does the number of teaspoons of
solution in the bottle change?

Answers

Answer:

The rate of solution change is 2/3 teaspoons per minute

Step-by-step explanation:

Here, we want to calculate rate

From what we have in the question,

68 teaspoons of solution dropped out entirely within 102 minutes

So the rate is takes to drop out per minute will be:

68/102 = 2/3 teaspoon per minute

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