Mathematics Middle School

Juan lives 2.5 miles from the park. It took him 12 minutes to ride his bicycle to the park. What was Juan’s average speed in miles per hour?

Answers

Answer 1
2.5/12 = x/60

12x = 150

x = 12.5 mph
Answer 2

Juan's average speed was found to be 12.5 mph, calculated by dividing the distance of 2.5 miles by the time of 0.2 hours.

Juan lives 2.5 miles from the park, and it took him 12 minutes to ride his bicycle there. To find Juan's average speed in miles per hour, we need to follow a few steps. First, we convert the time taken into hours because speed is often expressed in miles per hour (mph).

12 minutes is equal to 12 / 60 hours, which is 0.2 hours. Then, we use the formula for average speed:

Average speed = Total distance / Total time

So for Juan's trip, we get:

Average speed = 2.5 miles / 0.2 hours = 12.5 mph.

Therefore, Juan's average speed was 12.5 mph.

Related Questions

The graph represents function 1, and the equation represents function 2:

A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 3.

Function 2
y = 5x + 4

How much more is the rate of change of function 2 than the rate of change of function 1?

Answers

The rate of change of Function 2 is 5, the coefficient of x.
The rate of change of Function 1 is 0, because there is no change.

The rate of change of function 2 is 5 more than the rate of change of function 1.

The table given are for the linear functions f(x) and g(x) what is the input value for which f(x) = g(x) is true ?
x=

Answers

Do you have trouble comparing the values in one table to those in the other?

f(x) = 3 for all values of x, so you only need to find the entry in the g(x) table where g(x) = 3. The corresponding x-value is
.. x = -1

The functions f(x) and g(x) will be equal at x = -1 the input value will be -1.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Two function f(x) and g(x) shown in the table.

From the table:

At x = -1

f(-1) = 3

At x = -1

g(-1) = 3

f(-1) = g(-1)

or

f(x) = g(x) at x = -1

Thus, the functions f(x) and g(x) will be equal at x = -1 the input value will be -1.

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Hannah keeps her marbles in bags with four marbles in each bag she writes 3/4 to show the number of red marbles in each bag find another fraction to name the number of red marbles and two bags

Answers

2/3 is another Fraction and also is 4/5 
Hope This Helped

Multiply r2+7r+10/3 by 3r-30/ r2-5r-50

Answers

((r²+7r+10)/3) × (3r-30)/(r²-5r=50)
= Factoring the expression (r²+7r+10) we get  (r+2)(r+5)
Then multiply it with the other numerator, we get
= (r+2)(r+5)(3(r-10)
Then we factorise
= (r²-5r-50) = (r+5)(r-10)
Multiplying it with the other denominator, we have;
= 3(r+5)(r-10)
Therefore dividing

(r+2)(r+5)(3(r-10)/(3(r+5)(r-10) we get;
= r+2
Therefore, the correct answer is r+2

(r+5)(r+2)/3  *   3(r-10)/(r-10)(r+5)

If you eliminate the (r+5),(r-10) and 3, then what is left is (r+2). The answer is r+2.

help with homework. show work

Answers

Hello there! I can help you! The surface area is where you add the areas of the shapes to find the area of the surface. 15 is the side of the square. We can raise 15 to the second power (15²) to get 225. The total surface area is 945 square feet. Let's subtract 225. 945 - 225 is 720. There are 4 triangles. 720 square feet is the sum of the surface area of 4 triangles so let's divde 720 by 4 to find the area of each triangle. 720/4 is 180. The area of each triangle is 180. But we're not done. We need to look for the height. The formula for the area of the triangle is 1/2 the product of base and height. (½bh) When we divide by 2, our answer should be 180. So the product of the two numbers should be 360. We know that the base is 15ft long, so let's divide. 360/15 is 24. 15 * 24 is 360. 360/2 is 180. There. The height of each triangular base is 24 ft.

I'll give brainliest if you show your work. Plz answer quickly in less than 45 minutes.
Which two points should the line of best fit go through to best represent the data in the scatterplot?
(1, 16) and (2, 15)
(1, 16) and (6, 1)
(2, 15) and (4, 9)
(5, 8) and (6, 1)

Answers

i would say 2,15 and 4,9 as it shows that the line changes angles between the two points.

Answer:

2,15 and 4,9

Step-by-step explanation:

this is because these two points are in between the other two sets of points.

Which property changes when a figure is translated

Answers

When a figure is translated, the orientation, angle measurements, and side measurements, all stay the same. The coordinates of the figure are in which the only thing that changes during a translation.

Maggie and her friend visit a beach that has a shoreline 2 2/5 kilometers long. They walk along 2/3 of it. How many kilometers of the beach shoreline do they walk?

Answers

Simply put, this question is asking "What is 2/3 of 2 2/5 ?". 

If we want to find 2/3 of 2 2/5, we can multiply the fractions together. 

[tex] \frac{2}{3} * 2 \frac{2}{5} [/tex]

= [tex] \frac{24}{15} [/tex]

= [tex] \frac{8}{5} [/tex]

= [tex]1 \frac{3}{5} [/tex]

This means that Maggie and her friend have walked [tex] 1 \frac{3}{5} [/tex] kilometers of the beach shoreline. 
Final answer:

To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along. Maggie and her friend walk 8/5 kilometers of the beach shoreline.

Explanation:

To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along.

First, we need to convert the mixed number 2 2/5 to an improper fraction. We can do this by multiplying the whole number (2) by the denominator (5) and adding the result to the numerator (2), then putting the new numerator over the denominator. So, 2 2/5 is equal to (2 * 5 + 2) / 5 = 12/5.

Next, we can multiply the length of the shoreline (2 2/5) by the fraction they walk along (2/3). Multiply the whole number and numerator separately, then add the products and put the result over the denominator.

So, (12/5) * (2/3) = (12 * 2) / (5 * 3) = 24/15 = 8/5.

Maggie and her friend walk 8/5 kilometers of the beach shoreline.

what is the value of the 9 in the number 60.394

Answers

The value of 9 in this number is tenths
It is the tenths because you count after the decimal point so 3 would be considered the oneths and 9 the tenths. Hoped that helped!!!!

how do I do this SOS

Answers

#2 is boron nitride

#3 is Dinitrogen trioxide
#4 is nitrogen triiodide
#5 is Sulfur hexafluoride

Which rules of exponents will be used to evaluate this expression? Check all that apply. [(-8)^4]-5 (-8)6
product of powers
quotient of powers
power of a power
power of a product
negative exponent
zero exponent

Answers

Answer:

the answers are

b,c,e

quotient of powers, power of a power, and negative exponent

got it right on the quiz

Step-by-step explanation:

Answer:

B,C,E

Step-by-step explanation:

edge 2022

What is the average weight of the kittens in the shelter?

Answers

You should add the weights of each kitten and then divide by the number of kittens. Ex. There are 5 kittens weighing 2, 1, 3, 2, and 2. So you would add those to get 10 and divide by the number of kittens which is 5 to get an average of 2.

Average weight of the kitten in the shelter = Total weight of the kittens / Number of kittens.

What is Average?

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Here,

Average weight of the kittens in the shelter = Total weight of all kitten/ Number of kittens.

Hence, the average weight of the kitten in the shelter = Total weight of all kitten/ Number of kittens.

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Jeff purchased 5 items at the same price and 1 item for $2.95. What was the individual price of the 5 items if Jeff's total was $18.90 before tax? a. $3.19 b. $2.95 c.$4.37 d. $15.95

Answers

the answer is A. 3.19, all you have to do it multiply 3.19x5 then add the 2.95 hope this helps

Answer:

3.19

Step-by-step explanation:

Find the values of the power in the following pattern: (10)1, (10)2, (10)3, (10)4....Describe the pattern, and use it to evaluate (10)6 without using multiplication

Answers

10^1 = 10
10^2 = 100 {10 x 10 = 100}
10^3 = 1000 {10 x 10 x 10 = 1,000}
10^4 = 10000 {10 x 10 x 10 x 10 = 10,000}

The exponent represents how many zeros will be used in the answer. For example, 10^6 would include 6 zeros in it’s answer; 1,000,000.

A recipe calls for quarter of a cup of sugar to make a chocolate mug brownie.how many mugs of brownies can be made with 1 3/4 cups of sugar

Answers

u can make 7 mugs of brownies with 1 3/4 cups of sugar

Answer:

7


Step-by-step explanation:

1 chocolate mug brownie can be made with quarter (0.25) cup of sugar.

In total we have [tex]1\frac{3}{4}=1.75[/tex] cups of sugar. So, divide 1.75 by 0.25 to get the number of mugs of brownies we can make:

[tex]\frac{1.75}{0.25}=7[/tex]

Hence, we can make 7 mugs of brownies with [tex]1\frac{3}{4}[/tex] cups of sugar.

Can someone help me with number 33 please

Answers

2m + 15(m - 1) = 20(m - 3)

2m + 15m - 15= 20m - 60

17m - 15 = 20m - 60

-3m = -45

m = 15

Plot the x- and y-intercepts to graph the equation. y=13x−1 .

PLEASE plot it on a graph PLEASE and i will get you brainly and 15 points

Answers

this is the graph
if put 0 and 1 for x then :
[tex]x = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \\ y = - 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 \\ \binom{x}{y } = \binom{0}{ - 1} \: \: \: \: \binom{1}{12} [/tex]

Answer:

Given the equation: [tex]y = \frac{1}{3}x -1[/tex]        .....[1]

To find the intercepts:

x-intercepts states that the graph cross the x-axis.

Substitute the value of y = 0 in [1] to solve for x;

[tex]0 = \frac{1}{3}x-1[/tex]

Add 1 to both sides we get;

[tex]1 = \frac{1}{3}x[/tex]

Multiply both sides by 3 we get;

[tex]3 = x[/tex]

x-intercepts = (3, 0)

y-intercepts states that the graph cross the y-axis

Substitute the value x = 0 in [1] to solve for y;

[tex]y = \frac{1}{3}(0) -1[/tex]

Simplify:

y = -1

y-intercept = (0, -1)

Now, using these x- and y--intercepts  points to graph the given equation [tex]y = \frac{1}{3}x -1[/tex] as shown below.

What geometric shape may describe a quadrilateral that has exactly two pairs of parallel sides and no right angles? (If you don’t know that don’t answer...otherwise I will report you from the system)

Answers

The answer is a parallelogram.  Quadrilateral have 4 sides, and if there are not right angles, it cannot be a rectangle because that is the added characteristic of rectangles.  All rectangles are actually parallelograms, but only parallelograms will have exactly 2 pairs of parallel sides with no right angles.  The statement says "may" because as I mentioned before, rectangles are parallelograms too!

the measure of an angle is 34 degrees what is the measure of its supplement

Answers

Hey there!

We would have to remember that (supplement) angles are always [tex]180[/tex]°. So, sense this would be the case, if that  measure of an angle is 34 degrees, we would then obviously subtract it then.

[tex] \left[\begin{array}{ccc}\boxed{\boxed{180 - 34}}\end{array}\right] = \left[\begin{array}{ccc}\boxed{\boxed{146 \ would \ be \ the \ answer}}\end{array}\right] [/tex]

Hope this helps you dear!

The measure of the supplement angle is 146 degrees.  

What are supplementary angles?

The supplementary angles is defined as when pair of angles addition to 180° then they are called as supplementary angles. There are two types of supplementary angles.

What are Adjacent angles?

Adjacent angles is the type of supplementary angles. Adjacent angles have a common side and vertex, for example a corner point. Their points do not overlap in any way. In other terms, adjacent angles is pair of two angles next to each other

Given that the measure of an angle is 34 degrees

Let x = the measure of the supplement angle.

Two angles whose sum is 180 degrees are supplementary.

∴ x + 34 = 180

Then, (180 -34 ) is the supplement of that angle.

The measure of the supplement angle = 146 degrees  

Hence, the measure of the supplement angle is 146 degrees.  

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If you take a certain number 2.5 times then add 1.75 and divide the result by 0.8, you’ll get 37.5. What was the original number?

Answers

Answer:

The original number is 11.3

Step-by-step explanation:

Let the number is x and then we form the equation to solve it for the value of x.

1- Number is multiplied by 2.5 then it becomes = 2.5x

2- Then we add 1.75 to the expression then new expression will be = 2.5x + 1.75

3- We divide the result by 0.8 then expression will be = [tex]\frac{2.5x + 1.75}{0.8}[/tex]

4- Now the final expression is equal to 37.5 so the equation will be

[tex]\frac{2.5x + 1.75}{0.8}[/tex] = 37.5

Now we multiply 0.8 in both the sides of the equation

[tex]\frac{2.5x + 1.75}{0.8}[/tex]×0.8 = 37.5×0.8

2.5x + 1.75 = 30

2.5x = 30 - 1.75

2.5x = 28.25

x = 28.25/2.5 = 11.3


Answer:

11.3

Step-by-step explanation:

I need to hurry so I don't have enough time to write this down.

63,360, 63,366, 63,372, 63,378, 63,384, ... What is Barry's altitude above sea level, in inches, when he is standing on the 65th step above the one-mile step (counting the one-mile step itself as step #1)?

Answers

You need to convert the sequence to a formula 

Since step 1 is 63,360 and each is 6 higher. 

First I will try... 

Altitude = 63,360 + 6x 

Lets check it with step 1 ... 

= 63,360 + 6(1) 
= 63,366 
wrong. 

6 too high 

So the formula would be 

Altitude = 6x + 63,354 

Lets test for known step 5 which the sequence says will be 63,384 ... 

= 6(5) + 63,354 
= 30 + 63,354 
= 63,384 

Looks good ! 

Now... 

For step 55 just plug in 55 as X to solve. 

= 6(55) + 63,354 

then simplify
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Which is the slope of the line that passes through the points (2,10) and (5,8)?

Answers

The slope is -2/3. Hope this helps!
Y2-Y1/X2-X1
8-10/5-2=-2/3
Down 2 and 3 to the right

find the solution of the equation: x2 = 30 -13x

Answers

[tex]x^2=30-13x\ \ \ |+13x-30\\\\x^2+13x-30=0\\\\x^2+15x-2x-30=0\\\\x(x+15)-2(x+15)=0\\\\(x+15)(x-2)=0\iff x+15=0\ \vee\ x-2=0\\\\\boxed{x=-15\ \vee\ x=2}[/tex]

Last year the attendance at the homecoming football game was 300.This year 360 people attended.What was the percent increase from last year to this year

Answers

The percent increase is 20%.
The percent increase is about 20% the answer would be more accurate if there was an exact number on how many students went to the school. Hope this helps you!

cody spent $144 on shirts. fancy shirts cost $23 and plain shirts cost $13. if he bought a total of 8 then how many of each kind did he buy?

Answers

Sjsjsjwjswjjwjwjw snsnwwnw
let's say he bought x fancy shirts and y plain shirts
x+y=8→y=8-x
23x+13y=144

23x+13(8-x)=144
23x+104-13x=144
10x=40
x=4

he bought 4 fancy shirts

8-4=4

he bought 4 plain shirts

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate for the data below.
Survey responses of "yes comma " "no comma " and "no opinion"Survey responses of "yes," "no," and "no opinion"
Choose the correct answer below.
A.
The nominalnominal level of measurement is most appropriate because the data cannotcannot bebe ordered.ordered. nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing
B.
The intervalinterval level of measurement is most appropriate because the data can becan be ordered comma differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma andordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point.there is no natural starting point.
C.
The ratioratio level of measurement is most appropriate because the data can be ordered commacan be ordered, differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma and there is adifferences (obtained by subtraction) can be found and are meaningful, and there is a natural starting point.natural starting point.
D.
The ordinalordinal level of measurement is most appropriate because the data can becan be ordered comma but differences left parenthesis obtained by subtraction right parenthesis cannot be found or areordered, but differences (obtained by subtraction) cannot be found or are meaningless.

Answers

c I hoC. I think I hope this helps you!

determine the area of the composite figure shown below

Answers

I divided the figure into two rectangles, found their areas separately and added them up to get the final area 168 cm squared.

you suspect that an unscrupullous employee at a casino has tampereed with a die. that is, he is using a loaded die. In order to test this claim you roll it 258 times and obtain the folllowing frquencies Category 1 2 3 4 5 6 Frequency 48 52 51 34 48 25 a. Choose the approp. alternative hypotheses to test if the population proportion differ a/all population proportion differ from 1/6 b/ Not ll population proportion are equal to 1/6 b-1 calculate the value of the test statistic(round to at last 4 decimal places) b-2 Approx. the p-value c. at the 10% signifigance level. can you conclude that the die is loaded?

Answers

a. For the alternative hypothesis, you normally would want to choose something that says not equal since you will need to be testing if the proportions are equal and this will be your null hypothesis.

Therefore for your alternative hypothesis it would need to be: Not all population proportions are equal to 1/6.

b-1. Since we have 6 different outcomes, we will use the chi square test to evaluate the hypothesis. The test statistic is computed by getting the summation of [tex] \frac{ (observed-expected)^{2} }{expected} [/tex] for all the 6 outcomes. In our case the expected proportion would be 1/6 or 0.1667 and the observed values would be the proportions from the 6 outcomes.

[tex] X^{2} = \frac{ (0.1860-0.1667)^{2} }{0.1667} +\frac{ (0.2016-0.1667)^{2} }{0.1667}+\frac{ (0.1977-0.1667)^{2} }{0.1667}[/tex]
[tex]+\frac{ (0.1318-0.1667)^{2} }{0.1667}+\frac{ (0.1860-0.1667)^{2} }{0.1667}+\frac{ (0.0969-0.1667)^{2} }{0.1667}=0.0541[/tex]

ANSWER: The test statistic is 0.0541

b-2. For this problem we just imagine the chi square distribution and the fact that our test statistic is so close to zero so the p-value must be so much greater than 0.10.

Based on other resources, there are choices to this problem so we just choose the option similar to the one we just described.

ANSWER: p-value > 0.10

c. Since the p-value we estimated above is greater than 0.10, we do not reject the null hypothesis. This means that there is NOT enough evidence to reject the fact that the die is a fair die.

ANSWER: No, we cannot conclude that the die is loaded.

A flower shop normally orders 35 2/7 pounds of roses each week. The shop is planing on ordering five times as many pound of roses the week of Valentine’s Day. How many pounds of roses should the order be?

176 3/7 pounds
174 pounds
175 5/7 pounds
174 5/7 pounds

Answers

The answer is 176 3/7

35 2/7x 5=
247/7 x 5/1 =
247x5 over 7x1=
1235/7=
176 3/7

I converted it to an improper fraction to multiply and then converted it back into a mixed number.

Answer:

176 3/7

Step-by-step explanation:

Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual simple interest rate of 9%. After 8 years, the interest earned on the account was $1,440. How much money did Mike's grandmother deposit in the account?

Answers

SI = prt/100
1440 = (p*9*8)/100
⇒p=2000

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