Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 24 mph, and Juanita rides at a speed of 30 mph, how far apart will they be in 3 hours?

Answers

Answer 1

Answer:

Final answer:

Tom and Juanita, starting from the same point and biking in opposite directions for 3 hours, will end up 162 miles apart.

Explanation:

Starting from the same point, Tom and Juanita go biking in opposite directions for 3 hours. From what we know, Tom rides at a speed of 24 mph and Juanita rides at a speed of 30 mph.

When an object moves in one direction, its distance travelled is calculated from the formula distance = speed x time. This is because speed is described as the distance travelled per unit time. In this case, Tom travels 24 miles in 1 hour, so in 3 hours, he will cover 24 mph x 3 hours = 72 miles. Juanita will cover 30 mph x 3 hours = 90 miles.

Because they are moving in opposite directions, these distances add together. So in 3 hours, Tom and Juanita will be 72 miles + 90 miles = 162 miles apart.

Learn more about Relative Speed here:

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in a classroom, 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. there are 36 students in the class. how many students are wearing a shirt other than blue or white?

Answers

The best thing to do here is to find out what one part is equal too, add these up and then subtract it from the original number.
As 1/6 of the students are wearing blue shirts, you need to find out what 1/6 is.
As there are 36 students, you need to divide this by 6 to get one part.
36/6=6
Therefore, there are six students wearing blue shirts.
As there are 2/3 students wearing white shirts, you need to find out what 2/3 of 36 is.
The best thing to do is to find 1/3 then double it.
To do this, divide 36 by 3.
36/3= 12
12*2= 24
Therefore, there are 24 students wearing white shirts.
As you're looking for the students that aren't wearing blue and white, you need to add the total together, and then subtract this from 36.
6+24=30
36-30= 6
Therefore, there are 6 students that are wearing shirts that aren't blue or white.
Hope this helps :)

Number of students that are wearing a shirt other than blue or white is 6 students

Further explanation

Order of Operations in Mathematics follow this following rule :

Parentheses
Exponents
Multiplication and Division
Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

Total Number of Students = 36 students

¹/₆ of the students are wearing blue shirts.

$\texttt{Blue Shirt Students} = (1)/(6) * \texttt{Total Number of Students}$

$\texttt{Blue Shirt Students} = (1)/(6) * 36$

$\texttt{Blue Shirt Students} = \boxed{6}$

²/₃ of the students are wearing white shirts.

$\texttt{White Shirt Students} = (2)/(3) * \texttt{Total Number of Students}$

$\texttt{White Shirt Students} = (2)/(3) * 36$

$\texttt{White Shirt Students} = \boxed{24}$

Finally, the number of students wearing other clothes can be found in the following way:

$\texttt{Other Shirt Students} = \texttt{Total Number of Students} - \texttt{Blue Shirt Students} -\texttt{White Shirt Students}$

$\texttt{Other Shirt Students} = 36 - 6 - 24$

$\texttt{Other Shirt Students} = 36 - 30$

$\texttt{Other Shirt Students} = \boxed{6}$

Learn more

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

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the effect of
a.
b.
increasing the monthly payment by $144
decreasing the monthly payment by $144
increasing the monthly payment by $244
decreasing the monthly payment by $244
d.

Answers

Answer:

decreasing the monthly payment by $244

Step-by-step explanation:

you start out with $844 - $600 = $244

How to factor -2 out of -6x+10

Answers

Just divide -6x+10 by -2 and take out what's common.

-6x divided by -2 would be 3x.
10 divided by -2 would be -5.

So the answer is -2(3x-5).

$\sf\ Answer: -2(3x-5)$

How is interest similar to sales tax and markups? How is it different?

Answers

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Answers

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A.37

B.19.25

C.10.375

D.41

Answers

Answer:

its c

Step-by-step explanation:

its c

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