Yuto left his house at 10 a.M. To go for a bike ride. By the time Yuto's sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto's average speed was 0.25 per minute and Riko's average speed was 0.35 per minute, over what time period in minutes,t, starting from when Riko left the house, will Riko be Behind her brother?

Answers

Answer 1

Answer:

The time period will be ;

10 am to 10 : 52 am

(Then she will catch up at exactly 10:52 am , 30 seconds)

Step-by-step explanation:

In this question, what we simply want to calculate is the amount of time it will take Riko to cover same distance as Yuto.

Mathematically, at any point in time;

Speed = distance/time

Let the time we are looking for be x minutes

At x minutes , Riko will be at a distance of 0.35 * x = 0.35x miles

At x minutes, Yuto will be at a distance of 5.25 miles + 0.25 * x = (5.25 + 0.25x) mikes

Kindly note that, at the time x minutes, the distance covered would have been equal;

Thus;

0.35x = 5.25 + 0.25x

0.35x -0.25x = 5.25

0.1x = 5.25

x = 5.25/0.1

x = 52.5 minutes

Over a time period of 52.5 minutes, Riko will be behind her brother ;

Since Yuto left at 10 am, the time period will be ;

10am to 10:52 am

Answer 2

Answer:

Sample Response: The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.

Step-by-step explanation: Striaght from Egde2020


Related Questions

What is the measure of the indicated angle?

Answers

Answer:

The measure of the indicated angles is 62°.

Reason: vertical angles

62 degree angle for this question.

f(x) = 4x^2 - 7x + 7 find f(7)

Answers

Answer:

ummmm what grade do you are

Answer:

f(7)=140

Step-by-step explanations:

What is the slope between point A (-9, 4) and B ( 3, -2)
I NEED HELP ASAP

a)1/2
b)-1/2
c)2
d)-2
e)3/2

Answers

Slope can be calculated using the formula: m= [tex]\frac{y2 - y1}{x2 - x1}[/tex]

y1/x1 represents the first number in the bracket

y2/x2 represents the second number in the bracket

Calculation

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m =[tex]\frac{4 - (-2)}{(-9)-3}[/tex]

m= 6/-12

m= -0.5 or -1/2

Therefore, the answer is B.

The graph shows the cost of a lunch in a school’s cafeteria since school started.



Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.

Answers

Answer: It's slope is zero

Step-by-step explanation:

Answer:

the slope is zero

Step-by-step explanation:

it is going straight

Which statements below are TRUE about perpendicular lines? I. Perpendicular lines intersect II. Perpendicular lines create right angles III. Perpendicular lines are collinear IV. Perpendicular lines never intersect V. Perpendicular lines are coplanar

Answers

Answer:

Step-by-step explanation:

Two lines are perpendicular to each other if they both intersects and the two lines are inclined at angle 90°

Since they are inclined at 90° to each other, hence they create right angles.

The lines can also lines on the same plane to form a right angles. This are called coplanar lines.

From the above explanation, the following are true;

I) Perpendicular lines intersect

II) Perpendicular lines create right angles

V) Perpendicular lines are coplanar

They are not collinear because they can't lie on the same straight line. Collinear lines are known to lie on the same straight line.

Can someone help me!! what is the smallest positive counterclockwise roation if the point is rotated at 272 degrees clockwise

Answers

Given:

The point is rotated at 272 degrees clockwise.

To find:

The smallest positive counterclockwise rotation for the given clockwise rotation.

Step-by-step explanation:

Clockwise rotation = 272°

We need to subtract the given clockwise rotation from 360° to get the smallest positive counterclockwise rotation, because one complete circle is 360°.

Counterclockwise rotation = 360° - Clockwise rotation

                                            = 360° - 272°

                                            = 88°

Therefore, the smallest positive counterclockwise rotation is 88°.

What is the second step of a tax/tip/markup problem?

Question 3 options:

A: Adding the Original $ and the Tax/Tip/Markup $


B: Subtracting the Original $ and the Tax/Tip/Markup $


C: Adding the Original $ and the Percent


D: Subtracting the Original $ and the Percent

Answers

Answer:

I think it might be C im not sure tho

Convert the scientific notation into a standard form number,
1.23 x 10-5

Answers

Step-by-step explanation:

[tex]a^{-n}=\dfrac{1}{a^n}\\\\\text{therefore}\ 10^{-5}=\dfrac{1}{10^5}=\dfrac{1}{100000}=0.00001\\\\1.23\cdot10^{-5}=1.23\cdot0.00001=0.0000123[/tex]

[tex]a\cdot10^{-n}[/tex] - move the decimal point n place to the left

[tex]a\cdot10^n[/tex] - move the decimal point n place to the right

Examples:

[tex]1.2\cdot10^5=1\underbrace{20000}_{5\to}=120,000\\\\1.2\cdot10^{-5}=0\underbrace{.00001}_{\leftarrow5}2=0.000012[/tex]

Evan earned $26 for 4 hours of babysitting.
What equation can be used to model his
total earnings y for babysitting x hours?
Then graph the equation on the coordinate
plane. What is the unit rate? How is that
represented on the graph?​

Answers

$26 / 4 hours= $6.5/ hour

The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given that,

Evan earned $26 for 4 hours of babysitting.

If total earnings y for babysitting x hours then,

y = (26/4)x ⇒ y = 6.5x will be the equation.

The unit rate of the function is y/x = $6.5/hour.

Hence "The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour".

For more information about the graph of a function

brainly.com/question/27757761

#SPJ2

A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

Answers

Answer:

67% or 0.67

Step-by-step explanation:

Given that:

P(1 child under age 21) = 55%

P(2 children under age 21) = 22%

P(3 children under age 21) = 15%

P(4 children under age 21) = 5%

P(5 or more children under age 21) = 3%

If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

P(1 or 3 children under age 21):

Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;

P(1 child under age 21) + P(3 children under age 21)

= 55% + 15%

= 67% = 0.67

PLEASE HELP! IM IN 8TH AND I NEED SOMEONE TO EXPLAIN <3

Answers

Answer:

can u help me then i will help u:/

Step-by-step explanation:

Answer:

y=10x+35

so for 4 yoga classes, it is $75

so for 8 yoga classes, it is $115

so for 12 yoga classes, it is $155

Step-by-step explanation:

So 35 is only a one-time payment and it is over so we just add 35, but $10 is the rate of change depending on how much yoga class you have been into so the equation will be y=10x+35

Explanation for 4 yoga classes: y=10(4)+35 which is 75

Explanation for 8 yoga classes: y=10(8)+35 which is 115

Explanation for 12 yoga classes: y=10(12)+35 which is 155

Hope this helps!

Patty's Pies made 2 peach pies using 10 cups of peaches. They made 3 pies using 15 cups of peaches and 4 pies using 20 cups of peaches. Predict how many cups of peaches would be needed to make 9 pies. Explain.

Answers

it would be 45 cups because each number is multiplied by 5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
9 x 5 = 45

Is y=x+3.75 proportional

Answers

Answer:

NO

Step-by-step explanation:

if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.

Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.

That means that the relationship is NOT proportional.

The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.

Hope this helps and pls do mark me brainliest if you can:)

Answer: No

Step-by-step explanation:

The equal y=x+3.75 is expressed in slope intercept form meaning it doesn't fit the proportional equation which is y=kx and k is the slope.

Because of the y-intercept of the line it makes it  not  proportional .

Please if anyone can answer?

Answers

Answer:Oof your stuff looks hard!

Step-by-step explanation:

Answer:

n = - 7

Step-by-step explanation:

[tex] \frac{2m + 5}{n + p} = 9 \\ \\ plug \: m = 2 \: and \: p = 8 \\ \\ \frac{2 \times 2 + 5}{n + 8} = 9 \\ \\ \frac{4 + 5}{n + 8} = 9 \\ \\ \frac{9}{n + 8} = 9 \\ \\ n + 8 = \frac{9}{9} \\ \\ n + 8 = 1 \\ \\ n = 1 - 8 \\ \\ n = - 7[/tex]

BRAINLIEST !!! HOW MANY BURGERS CAN YOU MAKE WITH 1 BILLION BURGERS ??
each cow can make 1,200 burgers !
explain

Answers

Answer:

Well if Your asking for burgers the question makes no sense but if your asking how many cows it takes to make 1 billion burgers it would be 833,333 or round it 833,334

You have five quarts of paint it takes 5/8 quarts to paint each chair you are asked to paint how many chairs can u paint

Answers

Answer:

8 chairs

Step-by-step explanation:

5 quarts= 40/8 quarts

1 chair= 5/8 quarts

40/8-5/8x=0

(-40/8)/(-5/8)=x

8 chairs

Alvin and Simon shared £540 in the ratio 4:5. Alvin gave half of his share to Theo. Simon gave a tenth of his share to Theo. What fraction of the £540 did Theo receive.

Answers

Answer:

[tex]\frac{5}{18}[/tex]

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus

4 parts = 4 × £60 = £240 ← Alvin's share

5 parts = 5 × £60 = £300 ← Simon's share

[tex]\frac{1}{2}[/tex] × £240 = £120

[tex]\frac{1}{10}[/tex] × £300 = £30

Theo receives £120 + £30 = £150 , which as a fraction is

[tex]\frac{150}{540}[/tex] ( divide numerator/ denominator by 30 )

= [tex]\frac{5}{18}[/tex] ← in simplest form

AVIS rent a car is running a deal where you can rent a car for $49.99 and $0.99 per mile. if i rent a car and drive 25 miles, how much will I have to pay?

Answers

Answer:

$74.74

Step-by-step explanation:

$49.99 + $0.99 (25) =

$74.74

Help me pls i need this to get through my homework

Answers

Answer:

x is greater than negative 4, and less than or equal to 5

Step-by-step explanation:

Answer: X is greater than negative 4 and less than 5

Step-by-step explanation: The line is from -4 to 5, the unfilled dot on top of -4 means the number can't be 4, it must be greater and the filled in dot on 5 means it is equal to or less than 5.

i need help with this equation
-17 = -7c + 4

Answers

Answer: c = 3

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Subtract 4 from both sides.

-17 - 4 = -7c

Step 2: Simplify -17 - 4 to -21.

-21 = 7c

Step 3: Divide both sides by -7.

[tex]\frac{-21}{-7}[/tex] = c

Step 4: Two negatives make a positive.

[tex]\frac{21}{7}[/tex] = c

Step 5: Simplify [tex]\frac{21}{7}[/tex] to 3.

3 = c

Step 6: Switch sides.

c = 3

~I hope I helped you! :)~

can 7in and 1lb be in the same unit

Answers

Answer:

Yes

Here you gooooooo

(-3,7) and (8,-6) found distance

Answers

Use the slope formula

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

Answers

Answer:

In an hour and 5 minutes

(or 60 seconds but it will only overlap for a second)

Explanation:

After 60 minutes it will be an hour and the clock will show 1o'clock, after 5 minutes, the minute hand will be at the "1" so they will over lap at 1:05

Answer: 5.45

(the way I solved it is in the picture)

select all values that make the equation true 2(x-8)=x+5x
x= -4
x= -16
x= -2
x= -0

Answers

Answer:

x = -4

Step-by-step explanation:

2(x-8)=x+5x

Combine like terms

2(x-8) = 6x

Divide by 2

2(x-8)/2 = 6x/2

x-8 = 3x

Subtract x from each side

x-8-x = 3x-x

-8 = 2x

Divide by 2

-8/2 = 2x/2

-4 =x

X=-4
2(x-8)=x+5x
2x-16=6x
Subtract 2 from each side
-16=4x
Divide both side by 4
-4=x

I Mark got 54 out of 66 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form
Please help

Answers

Answer: The answer would be 2/11

Step-by-step explanation: Mark answered 54 questions correctly, so Mark missed 12 which gives you 12/66. Then that simplifies to 2/11

7TH GRADE ME PLZZ thanks

Answers

Answer:

-2/6 or -1/3

Step-by-step explanation:

is 48 a perfect cube? why?

Answers

Answer:

yes, because it is an even number

Step-by-step explanation:

Answer:

So the square of 48 is not perfect square

Step-by-step explanation:

Identify equations, expressions, and inequalities
Identify whether each phrase is an expression, equation, or inequality.

HUH PLEASE HELP

Answers

Answer:

the middle one goes to the top, top one goes to the middle and bottom stays there

Step-by-step explanation:

write 125 as a repeated multplication of 5 then write the power

Answers

Answer:

5×5×5=5³

Step-by-step explanation:

Answer:

A power, or exponent, represents how many times the term, in this case 5, is multiplied by itself. So multiply 5 by itself until you get 125. Then write your answer as 5ˣ where x is the number of times you multiplied 5 by itself.

Hopefully this helped. Please don't use this platform as a way to get free homework answers. You don't learn anything that way.

5(2x+3)+3x=4(x+7)+5 show your work

Answers

Answer:

X = 2

Step-by-step explanation:

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