Torrin rode his bike to school at 13. 5 km/h. He returned home using the same route at 10. 5 km/h. Torrin took a total of 36 min to ride to school and back. Express your answer to the nearest hundredth. A) how many minutes did torrin take to ride to school? B)how far is it from Torrins house to school?

Answers

Answer 1

To ride a bike to school Torrin takes 15.75 min to ride to school and 3.54 km is the distance from his house to school.

Let  v₁ = 13.5 km/h the speed to school

v₂ = 10.5 km the speed returning home

t = the time of the ride to school in minutes

36 - t = the time of the ride from school in minutes

Since, distance = speed × time

⇒v₁ × t/60 = v₂ × (36 - t)/60

⇒13.5 × t/60 = 10.5 × (36 - t)/60

⇒t = 15.75 min

Now, the distance = v₁ × t/60 = 13.5 × 15.75/60 = 3.54 km.

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Related Questions

subtract 6x^2-x+3 from 8x^2-7x-2​

Answers

Answer:

Step-by-step explanation:

1) translate the given informations in a operation

8x^2 -7x - 2 - (6x^2-x+3)

2) change the sign of all the terms in the bracket

8x^2 -7x -2 -6x^2 + x -3

3) simplify the expression

2x^2 - 6x -5

Help ASAP 20 points!!!

A = {4,7, 10, 14, 17, 20}
B = {1,4,9,14, 20}
C = {2,3,7, 10, 17)

Answers

Answer:  {4, 14, 20}

Don't forget about the curly braces.

===========================================================

Explanation:

The upside down "U" symbol means "intersect". We're looking for where the two sets intersect or overlap. In other words, we're looking for all of the values are in both sets at the same time. It might help to draw out the Venn diagram (see the image attachment below).

The numbers 4, 14, and 20 are found in both set A and set B at the same time. Therefore, [tex]A \cap B = \{4, 14, 20\}[/tex]. Something like the value 7 is only found in set A, but not in set B. So we'll ignore that value. Similar things happen with 10 and 17 for set A, and also 1 and 9 for set B.

So that's why the answer you type in is {4, 14, 20}. The curly braces are there to tell the reader we're dealing with a set of values.

!NO FILES !
Help me ASAP :((

Answers

I think the total is b

What are the 15 types of angles?

Answers

There are various classifications of angles, some of which include: Acute angles, Right angles, Obtuse angles, Straight angles, Reflex angles,  Complementary angles, Supplementary angles, Adjacent angles, Linear pair, Vertically opposite angles, Alternate interior angles, Alternate exterior angles, Corresponding angles, Conjugate angles, and Explementary angles.

It's important to note that this is not an exhaustive list and the classification may vary depending on the context.

Acute angles which measure less than 90 degrees, Right angles that measure exactly 90 degrees, Obtuse angles that measure more than 90 degrees but less than 180 degrees.

There is also Straight angles that measure exactly 180 degrees, Reflex angles that measure more than 180 degrees but less than 360 degrees, Complementary angles which add up to 90 degrees, Supplementary angles which add up to 180 degrees.

Then there is Adjacent angles that share a common vertex and a common side but no common interior points, Linear pair which add up to 180 degrees and share a common side, Vertically opposite angles that are formed by two intersecting lines and are opposite to each other, Alternate interior angles that are formed by two intersecting lines on opposite sides of a transversal and inside parallel lines, Alternate exterior angles that are formed by two intersecting lines on opposite sides of a transversal and outside parallel lines, Corresponding angles that are formed by two intersecting lines in the same relative position.

Conjugate angles are angles which are supplementary but non-adjacent, and Explementary angles are angles which add up to 90 degrees.

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quickkkkk plss help me

Answers

The answer is 55 because the absolute value of any number is positive so 30 + 25 = 55

is a(b)+a(c) the same as a(b+c)

Answers

Answer:

Yes, a(b)+a(c) is the same as a(b+c)

Step-by-step explanation:

a(b)+a(c) is the same as a(b+c). We call it distributive property in math.

Jacob rode his bike 5 3/4 miles last week. This week,he rode 4 times as far as he rode last week. How many miles did Jacob ride his bike this week?

Answers

Answer:

Hope this helps

Step-by-step explanation:

1. Make 5 3/4 into an improper fraction. That would be 23/4. 2. Write 4 in a fraction way. That would be 4/1. 3. Now do 23/4 X 4/1. That would be 92/4. 4. Turn it into a mixed number by doing 92 divided by 4. That would be 23. No fraction after 23. Jacob rode his bike 23 miles this week. :)

Answer:

5 3/4 times 4 = 23/4 times 4 = 92/4 =23

Step-by-step explanation:

3.) In a proportional relationship, y=2 when x = 8. Which of the following equations would describe this relationship? (1) y=1/4x (2) y = 4x (3) y=x-6 (4) y =1/2x-2​

Answers

The correct option is y=1/4x.Because it holds the directly proportional relationships.

What is directly proportional?

Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Directly proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

How do you find if an equation is a proportional relationship?

A relationship is proportional if each pair of data values are related in the same way by multiplying by a factor. You can recognize a proportional relationship by looking at data.When two quantities x and y are in direct proportion then they are written as x ∝ y. Symbol “∝” stands for 'is proportional to'.

NOW we find

according to directly proportion

y∝x

y=kx

y/x=k

2/8 =k

1/4 =k

Now we get

y = 1/4x

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What is the range of the parent function y=√-x

A.
all real numbers
B.
all positive numbers
C.
all positive numbers and 0
D.
all negative numbers

Answers

Answer:

the answer is

A. all real numbers

After a long morning of sledding, Mrs. Fieldhouse made a batch of hot cocoa for her daughter and nighborhood friends. She divided it among 8 mugs. Each mug had more than 9 fluid ounces of hot cocoa. Write an inequality to describe the situation. ​

Answers

x>9 perfectly describes the situation.

In mathematics, inequalities characterise the connection between two non-equal numbers. Inequality implies being unequal. If two values are not equal, we use the "not equal symbol ()". However, various inequalities are employed to compare the numbers, whether they are less than or higher than.

Let x be the amount of hot cocoa in fluid ounces that each mug contains.

Since each mug has more than 9 fluid ounces of hot cocoa, we can write the inequality as:

x > 9

We also know that the total amount of hot cocoa made is 8 mugs * the amount of hot cocoa in each mug = 8x.

So the inequality can be written as:

8x > 9*8 = 72

or

x>9

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PLEASE HELP ME ITS DUE IN 4 HOURS!!

Answers

Answer:

black screen

Step-by-step explanation:

HURRY IM TIMED!

what is the value of x if e^2x+6= 8

Answers

Answer:

exact form x = 2/e^2  decimal form is x = 0.27

Step-by-step explanation:

Can some kind person help me with this it will really mean a a lot

Answers

Answer:

Table B

Table C

Table A

Step-by-step explanation:

Substitute by the easiest number which is 0

f(0) =2(0) - (-3) =3 Then it is Table B function

f(0) = -2(0) +(-1/3)= -1/3 Then it is Table C function

f(0) =2(0) +(2/3)=2/3 Then it is Table A function

What does the ∑ symbol mean in statistics?

Answers

The symbol ∑ (sigma) is used to represent the sum of a set of numbers. This is very important notation in statistics.

What is uses of sigma symbol in statistics?

If a hypothesis is correct, a set of data's standard deviation serves as a gauge of how rare it is. Standard deviations are expressed in units called sigma, or, by physicists. The findings are progressively inconsistent with the hypothesis as the number of sigma increases. The word's derivation is derived from the Greek letter "sigma," which is used in statistics to measure how much a process deviates from its mean or goal.

To express the total of a set of data or the total of a function over a specified range, it is frequently used in statistics and probability. For instance, if X is a collection of numbers, the term ∑X would stand for the collection's total. The symbol is typically followed by a variable, such as I indicating the range of the sum, for example, ∑i=1 to n for the summing from i=1 to i=n. The index I is frequently used to identify the individual components of the set.

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Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (-0. 5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to explain how to plot the point.


Someone pls help?

Answers

Therefore , As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).

Definition of a scatter plot.

Several dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).

Here,

Maria You've erred, you know that. You don't understand the points at all. The attachment can be used to your advantage.

The property of rational numbers, according to which there are an endless number of terminating decimals between any two terminating decimals, must be used in order to plot any terminating decimal on the coordinate plane.

On the X axis, indicate -0.5 between 0 and -1.

Mark integer 2 on the Y axis in a similar manner.

Draw a line perpendicular to the Y axis, passing through (-0.5,0), and a line perpendicular to the X axis, passing through (0,2).

These two lines must cross at the specified position (-0.5,2).

As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).

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What is the relative frequency of eighth graders who want fruit smoothies

Answers

Answer:

it is 0.18

Step-by-step explanation:

I took the test

please convert 16/100 into a decimal ​

Answers

Answer:

0.16 btw thanks for the points

Answer: 0.16

Step-by-step explanation:

put 16 over 100 and divide it. Then you get your answer 0.16.

when 7/11 is written as a decimal what is the sum of the fisrt twenty digits after the decimal point
PLEASE i relaly need help I just got brainly

I give twenty points

Answers

The first twenty digits after the decimal point of 7/11 when written as a decimal are: 6363636363636. The sum of these digits is 108.

Given the polynomial function y = 5x^2 + 3x^6 - 10x-8, what is the constant
term?
A.5
B.3
C.-10
D.-8

Answers

Answer:

Step-by-step explanation:

Given: Polynomial y = 5x²+3x⁶-10x-8

here, 5 is the coefficient of x², 3 is the coefficient of x⁶, -10 is the coefficient of x and -8 is the constant term.

option (D)

Answer:

down there.

Step-by-step explanation:

Look for a term that has no variables with it. Once you've found it you've found ur constant. The only such term is -8 so the constant is -8 or choice d.

hence choice d

pls pls HELP ASAP!!! ILL MARK BRAINIEST AND 50 POINTS!!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by ASA

Answers

Answer:

side BC and side DF

Step-by-step explanation:

side BC and side DF

Find the area of the trapezoid

Answers

Answer:

15 + 23 = 38

38 x 9 = 342

342 x 1/2 (basically just dividing by 2) 171

Step-by-step explanation:

Formula of a trapezoid:

B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)

In this case,

12 and 23 are your bases, 9 is your height.

Given: x - y = 11.
If x = -17, what is y?
Please put your answer in the format “y=____”

Answers

Answer:

-28

Step-by-step explanation:

-17-11= -28

-28-(-17)=11

A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 2000 seats. The students filled 320 of the seats in the theater. What
percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

16 % of the theater.

Answer:

16%

Step-by-step explanation:

320/2000=.16 or 16%

What is the area of the figure, 100 points pls hurry

Answers

Answer:

69.75 in^2

Step-by-step explanation:

Please see the attached image.

Let's first find the area of the bottom rectangle. The area of a rectangle is the length times the width.

9*4.5=40.5 in^2

Now let's find the area of the triangle on top. The area of a triangle is the base times the height divided by 2.

9*6.5/2=29.25 in^2

Now add the areas of the two shapes to get the total area of the figure.

40.5+29.25=69.75 in^2

Answer:

69.75 in²

--

First divide the shape into rectangles and triangles.

There is one triangle and one rectangle

Then . .

Solve the area of the bottom rectangle

-formula A = L x W

9 × 4.5 = 40.5 in²

Then . .

Find the area of the triangle on top

-formula

A = 1/2 × b × h

Plug in . .

A = 1/2 × 9 × 6.5 =  29.25in²

Finally add the two areas together to get the finale area!

40.5 + 29.25 = 69.75 in²

On a youth soccer team 3 out of 12 team
members have played in previous years.
Based on this information, if 150 kids are in
the youth soccer league, then how many
could be expected to have played the year
before?

Answers

3/12=1/4

1/4×150=37.5 then round

Answer=38

why is sin ( 17.5 + pi ) = - 0.3 and not positive 0.3 ?

Answers

Answer:

Step-by-step explanation:

Name the property of the real numbers illustrated by the equation

What is 66=2l+2w L=w+5

Answers

Answer:

Step-by-step explanation:

66=2(w+5)+2w         L=14+5

66=2w+10+2w          L=19

66=4w+10

-10

56=4w/4

14=w

X is an odd number , if the next odd number is 3x

Answers

Since X is an odd number, x+2 is the following odd number. If x is an even number, the subsequent odd number is x + 1.

The odd even rule is what ?

The vehicles that will travel on the highways on particular days are decided by the Odd-Even rule, a space rationing system. According to the plan, vehicles with odd and even numbers will travel the roads on alternate days.

The unusual method is what?

In jQuery, the odd() method is used to pick elements with odd index numbers (such as 1, 3, 5, etc.). The index begins at zero. It picks odd numbers, unlike the even() function, which is comparable. From the set of chosen items, the odd() method returns the odd indexed elements.

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Here are four digits 9 4 7 5 use two of these digits to make the largest possible two digit number

Answers

Answer:

97

Step-by-step explanation:

HELP PLEASEEEEEEE!!!!!!!!!!!!!!!!

Answers

The probability answer would be x=2
What number can add of 7 to equal to 9? It's 2 because 2+7=9
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