Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero.

Answers

Answer 1

Answer: Riko will be behind Yuto when 0 ≤ t < 52.5.

This means for the first 52.5 minutes, Riko will be behind Yuto as he started late. At 52.5th minute Riko will cross Yuto and move ahead because average speed of Yuto is larger than average speed of Riko.

So for first 52.5 minutes, Yuto takes the lead and for the remaining time Riko takes the lead on the path.

t represents time in the given scenario. Time cannot have negative values, it can only be zero or have some positive value. Therefore, t cannot be less than 0. When t is equal to 0 it indicates the start of journey.

Answer 2

Answer: The solution means that Riko will be behind Yuto until they both reach 52.5 miles, t cannot be zero because is the time spent since they both left home.

Related Questions

Mrs. aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks and also takes orders in advance for fruit cups that cost $3 each. 1. describe the domain of the function both in words and numbers? 2. what is the range?
Haily has Bottles that hold 678 pennies each . About how many pennies does she have if she has six bottles filled with pennies
Select the first five terms in the arithmetic sequence an = 4n, starting with n = 1.
Which property can be used to show that if 3a = 4b, then 4b = 3a?
3x + 7y, 8x + 4y, 13x + y, 18x - 2y, 23x - 5y, ...

Which of the following numbers can be expressed as repeating decimals?2 over 9, 3 over 8, 5 over 6, 5 over 4

3 over 8 and 5 over 6
2 over 9 and 5 over 6
2 over 9 and 5 over 4
3 over 8 and 5 over 4

Answers

the correct answer is 2 over 9 and 5 over 6

Answer:

2/9 and 5/6

Step-by-step explanation:

divide all the fractions numerator and denominator

and find if the number that is found is repeating

if both fractions are then that is the answer

Lynn street, Allen street, and route 11 form the boundaries of a triangular forest, as shown in the map below.

Answers

There are 2 triangles there. So the formula for a triangle is BxH/2. So base of 36km x 15km = 540/2= 270km squared.
Then the second triangle 20km x 15 km=300/2=150km squared.
Next add the two triangles together so
270km squared + 150km squared= 420km squared.
420km squared is your answer

Do you remember how to find the area of a triangle ?

Is the area (1/2) (base) x (height) ?

On the map, the base and the height are conveniently labeled for you.
The base is (20 + 36) = 56 km, and the height is 15 km.

I'm sure you can handle it from there, and earn yourself 5 points.

Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pine tree is 2121 21 meters. The height of 44 4 fir trees stacked on top of each other is 2424 24 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?

Answers

Answer: The height of fir tree is 9 meters and the height of pine tree is 12 meters.

Step-by-step explanation:

Given : The combined height of one fir tree and one pine tree = 21 meters.

Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree.

Then we get the following equations:

$x+y=21...............(1)\n4x-y=24.........(2)$

Adding (1) and (2) we get

$5x=45\n\Rightarrow\ x=9$

Substitute the value of x in (1), we get

$9+y=21\n\Rightarrow\ y=21-9=12$

Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.

How do i solve this question 2+3=8-4 ?

Answers

Answer:

5=4

Step-by-step explanation:

5=4

just add then subtract

Write an inequality to solve the following problem.Carlos wants to send a gift basket to his grandmother. Deliver Quick charges a
processing fee of $4.45 plus $1.05 per pound. If Carlos can only spend $15 or less
on shipping, what are the possible weights for the gift basket?
4.45+1.05x <15
4.45+ 1.05x >15
4.45x + 1.05 <15
4.45x + 1.05 >15

Answers

Answer:

The Correct Answer is A

4.45 + 1.05x <= 15

Step-by-step explanation:

Answer:

4.15x + 0.85x <- 15

Step-by-step explanation:

Got it wrong on the test and it said this was the right answer.

If the point(x,√3/3)is on the unit circle, what is x?

Answers

The equation of the unit circle:
$x^2+y^2=1$

$(x,y)=(x, (√(3))/(3)) \n \nx^2+((√(3))/(3))^2=1 \nx^2+(3)/(9)=1 \nx^2+(1)/(3)=1 \nx^2=1-(1)/(3) \nx^2=(3)/(3)-(1)/(3) \nx^2=(2)/(3) \nx=\pm \sqrt{(2)/(3)} \nx=\pm (√(2))/(√(3)) \nx=\pm (√(2) * √(3))/(√(3) * √(3)) \nx=\pm (√(6))/(3)$

x is equal to $-(√(6))/(3)$ or $(√(6))/(3)$ .

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