In the morning, Jasmine biked to her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes. How far from her house does her grandmother live?
EXPLAIN YOUR THINKING!

Answers

Answer 1

Answer:

8.4 miles

Step-by-step explanation:

a mph in 45 min.

This means that she did 0.75 of a miles during that time.

When she bikes 4mph slower, she did 0.75a-4 which took her 70 minutes.

Now, V=d/t.

First equation: 0.75a=d/45

Second equation: (0.75a-4)=d/70

First equation: d=33.75a

Second equation: d=52.5a-280

Now, to put it all together: 52.5a-280=33.75a

18.75a=280

a= 14 14/15 mph

1 hour=60 min.

d=(0.75*14 14/15)/60

d=504/60

d=8.4 miles.

:)

Answer 2

Jasmine's grandma's home will be 504 miles away from her home.

What is the relation between distance[x] and time[t]?

The relation between distance[x] and time [t] is -

⇒ [x] = v [t]

where v is the velocity of body.

Given that;

Jasmine reached her grandma's house in 45 minutes. When she was biking back home in the evening it was foggy and she went 4 mph slower. The trip back took her 1 hour and 10 minutes.

Now, Let her grandma's home be [x] miles away form her house.

Assume that her velocity was [v] mph on her way to grandma's house.

So, We get;

⇒ 45 = x/v

⇒ x = 45v

And, Her velocity on her way back home would be [v - 4] mph

⇒ 70 = x/(v - 4)

⇒ x = 70(v - 4)

Equating both -

⇒ 45v = 70(v - 4)

⇒ 45v = 70v - 280

⇒ 70v - 45v = 280

⇒ 25v = 280

⇒ v = 11.2 mph

Hence, The value of [x] will be -

⇒ x = 45 x 11.2 = 504 miles

Thus, Jasmine's grandma's home will be 504 miles away from her home.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2


Related Questions

Al's Cardboard produces cereal boxes and uses the expression 16x2+56x+24 to determine the volume of each box. The cereal box below was produced by Al's Cardboard and has a width of 8 centimeters (cm). Given that the width of the cereal box is 8 centimeters, which expression could be the dimensions of the length and the height of the box shown?

Answers

Answer

madaphuqa

Step-by-step explanation:

wudaphuq

janet earns $16 per week for doing chores around the house. write and solve an equation that determines how many weeks she needs to do chores to earn $12

Answers

Answer:

16x = 12 where x is the number of weeks she works, x = 3/4 of a week

Step-by-step explanation:

If Janet gets 16 dollars a week, then 16 times the number of weeks she works is the amount she makes. If x is the number of weeks she works, this would be 16x. Since she is trying to get $12 your equation would be 16x = 12.

Solving,

16x = 12

divide both sides of the equation by 16

x = 12/16 = 3/4

Which one of the following is a true
statement?
Percentage earned at the end of this course
is a one-to-one function of SFU student
number.
SFU student number is a one-to-one function
of percentage earned at the end of this
course.
Percentage earned at the end of this course
is a function of SFU student number, but it is
not one-to-one.
SFU student number is a function of
percentage earned at the end of this course,
but it is not one-to-one.

Answers

Answer:

X5, m d5£t4#it8#k,osp5*9y6£, you_, I_, I &, I 5"I 5"6'7'6”7'6'6"6"I 5*95*95*59*I 5,5*5*I 5*I 5•5the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.

A police department commissioned a door-to-door survey of citizens on whether they commit minor law infractions, such as speeding or illegal parking. The interviewers told the interviewees that they would not be investigated or ticketed for any minor infractions they may have committed. An analysis suggested that there was bias in their responses.This would likely be an example of a (an):_________
a) Placebo effect
b) Interviewer-induced bias
c) Under-coverage bias
d) Voluntary response bias
e) Double-blind effect

Answers

Answer: Interviewer-induced bias

Step-by-step explanation:

The example given in the question illustrates the Interviewer-induced bias. This occurs when the situation created by the interviewer is such that the respondent will have to give the kind f answer that the interviewer wants to hear.

For example, in the question, we can deduce that the interviewers told the interviewees that they won't be investigated and the gave bias replies based on that.

inverse of f(x)7x-21

Answers

The inverse is: f^-1(x) = x/7 + 3

Can someone help me with this

Answers

Answer:

juan

Step-by-step explanation:

juan won causs he got to 4 meters in 13 mins whereas Antonio did it in 15 mins

for the second part just describe how the differences between the line such as Antonio starts off really fast but slows down

juan starts off at a slow pace behind Antonio but gradually catches up and overtakes him as Antonio stops for a rest for 2 mins

Solve this step by step and explain your answer

Answers

Answer:

(-3,5)

Step-by-step explanation:

6x+7y=17

-6x+5y=7

2y=10

y=5

6x+5(5)=7

6x+25=7

6x=7-25

6x=-18

x=-3

Answer:
1. 6x+7y=17
X= -7/ 6y + 17/6
2. 6x+5y=7
X= -5/6 y + 7/6

Hope this is correct if so brainlist please.

What is three fourths x three fourths x three fourths?

Answers

Answer:

3/4 x 3/4 x 3/4 = 27/64 (twenty-seven / sixty-four)

Answer:

27/64

Step-by-step explanation:

the track team is trying to reduce their time for a relay race. first they reduce by 2.1 minutes. then they are able to reduce the time by 1/10. if their final time is 3.96 minutes, what is their beginning time? show or explain your answer​

Answers

Answer:

6.27 minutes

Step-by-step explanation:

x = beginning time

x - 2.1 - 0.21 = 3.96          *(1/10 of 2.1 is 0.21)

x - 2.31 = 3.96

x = 6.27

Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain area that are longer than 35 centimeters. The biologists will select a random sample of crabs to measure.
Which of the following is the most appropriate method to use for such an estimate?
A. A one-sample z-interval for a population proportion
B. A one-sample z-interval for a sample proportion
C. A two-sample z-interval for a population proportion
D. A two-sample z-interval for a difference between population proportions
E. A two-sample z-interval for a difference between sample proportions

Answers

Answer:

B. A one-sample z-interval for a sample proportion

Step-by-step explanation:

In this experiment we are only given the sample. Neither the population nor the two samples nor difference between two samples is given .

So we are left only with the option B which satisfies the required conditions.

We will estimate the sample proportion and then perform, the test.

The test are performed on the basis of the statistics given.

We have the sample and the proportion that it is not longer than 35 centimeters.

Therefore option B is the correct choice.

B. A one-sample z-interval for a sample proportion

What tip did you leave if your meal cost 27 and you paid a total of 36

Answers

Answer:18%

Step-by-step explanation:

9 dollar tip just do subtraction next time

Which graph represents (x,y)-pairs that make the equation y=0.5+5 true?

Choice B: (1,0), (3,4), (6,10)
Choice C: (2,6), (4,7), (6,8)​

Answers

Answer:

Choice C

Step-by-step explanation:

Notice that the equation y = 0.5 x + 5

is a linear equation so the points that are solutions of it must reside on a line. Option A does not show aligned points, so it cannot be a possible answer.

Option B: we look into the given points and notice that just the first one (1, 0) is NOT a solution to the equation because:

y = 0.5 (1) + 5 = 5.5 and not "0"

Option C: This is the correct answer, since all those points satisfy the equation

Point (2, 6)  -->  y = 0.5 (2) + 5 = 1 + 5 = 6

Point (4, 7)  -->   y = 0.5 (4) + 5 = 2 + 5 = 7

Point (6, 8) -->   y = 0.5 (6) + 5 = 3 + 5 = 8


Urgent!! Math help!!

Answers

Answer:

7.21

Step-by-step explanation:

14^2-12^2=52

[tex]\sqrt{52}[/tex]=7.21

Can someone please help me?

Answers

Answer:

C

Step-by-step explanation:

b, i think since it’s still showing 2/3 being multiples my n and then added to 12

Describe and correct the error in writing the phrase as an expression.

Answers

Answer:

x-12

Step-by-step explanation:

Goodluck

A weighted coin has a 0.664 probability of landing on heads. If you toss the coin 28 times, what is the probability of getting heads exactly 18 times? (Round your answer to 3 decimal places if necessary.)

Answers

Probability of atleast one head = 2C1 * p * (1-p) + 2C2 * p^2 = 2(p - p^2) + p^2 = 2p - p^2

p(2 - p) > 0.5

All values of p satisfy this equation.

Which is the correct solution to the problem 7.2-3.67?

Answers

Answer:

3.53 is the answer

Step-by-step explanation:

1. Pia drew a circle with a circumference of C and a diameter of 14 in. Pia knows that, and she wrote the following equation to represent the value of.

(a) There is an error in Pia’s equation. Write an equation to correctly represent the value of. Show your work.
π=14/C
(b) Write an equation and find the circumference of the circle

Answers

They b answer correct
They getting 67-879

Please help if you can!!!!!!

Answers

Answer:

Perpendicular

someone help me plss​

Answers

9. 12 edges

Work: 4 horizontal edges on top, 4 horizontal edges on bottom, 4 vertical edges for sides

10. Ten-thousands place

Work: The 8 is highlighted. The order of places is: ten-thousands, thousands, hundreds, tens, ones

11. 10 4/5

Work: 54 ÷ 5 ——> 50÷5 = 10 with 4 left over and put into a fraction of 4/5

12. 3,000

Work: 2 is in the thousands place so you look to the place behind it and there is an 8. If the number behind is 5 through 9 then you round up. 8 is above 5, therefore, you round the 2 up to a 3.

13. 0.45

Work: The pattern is +0.03 so 0.42+0.03=0.45

14. 54 cakes

Work: 6 eggs per 1 cake • 9 cakes = 6•9=54 eggs used

15. 378 desks in the school

Work: 6 rows • 7 desks per row = 42 desks in 1 classroom. 42 desks • 9 classrooms = 378 desks in the whole school

9) twelve
10)10,000
11) fifty and four fifths
12)3,000
13).45
14)54
15)378

Comparing Absolute Values
A student said that since -9 is less than 4, then |-9| is
less than |4|. Is the student correct? Explain why or why
not.

Answers

Answer:

i don not know this. but I think

Step-by-step explanation:

No, the student is not correct
Absolute value depends on the distance from zero, -9 is 9 values from zero as 4 is 4 values from zero

9 is greater than 4; the answer is false

According to NASA, an average of one cataloged piece of space debris has fallen back to Earth each day for the past 50 years. Suppose that there is an 11.5% chance that a piece of debris will fall in Russia during a given week, and a 6.7% chance that a piece of debris will fall in Canada during the same week. Which is the most likely

Answers

Have a great day :)

The figure shows two wires diverging from an intersection point at an angle of 20°. A vertical rod is located a distance x from the intersection point and is moving to the right at speed s. What is the rate of change of the area, dA/dt, formed by the two wires and the rod?
A. dA/dt = (1/2(s)tan20)x
B. dA/dt = (1/2tan20)x
C. dA/dt = ((s)tan20)x
D. dA/dt = (tan20)x
E. dA/dt = (2(s)tan20)x

Answers

Answer:

dA/dt = ( (S)tan20°)x

Option C) dA/dt = ((s)tan20)x is the correct Answer

Step-by-step explanation:

Given the data in the question and given figure in the image;

The second image mages a triangle ΔAOB

using SOH CAH TOA

such that;

tan = 0pp/adj

tan20° = AB / AO

tan20° = AB /x

AB = xtan20°

given; dx/dt = S

now, know that the area of a triangle is 1/2base×height

so Area of ΔAOB will be;

A = 1/2 × AO × AB

we substitute in AB = xtan20° and AO = x

A = 1/2 × x × xtan20°

A = 1/2 × x²tan20°

dA/dx = ( 1/2×2xtan20°)

dA/dx = ( xtan20°)

now

dA/dt = dA/dx × dx/dt

we substitute

dA/dt = ( xtan20°) × S

dA/dt = ( (S)tan20°)x

Therefore; Option C) dA/dt = ((s)tan20)x is the correct Answer

45 and 81
what is the GCF of both these numbers?

Answers

Answer:

the answer is 9

Step-by-step explanation:

look at all the factors of both numbers, then find the factors that they both have, and then multiply those factors

Which is the graph of f(x) = 2(3)*?
y
Ty
14
14
14
12
12
12
10
10
10
8
(1,9)
8
8
2,8)
6
(1.6)
6
6
4
4
2
2
2
4 -3 -2 -12
1
2
4 -3 -2 -12
1
2
3
4
-54
3
-12
2
4
4
o
14
12
% 2, 12)
10

Answers

The graph of [tex]f(x) = 2(3)^x[/tex] has an initial value of 2, and a rate is 3

The equation of the graph is given as:

[tex]f(x) = 2(3)^x[/tex]

The above equation is an exponential function.

An exponential function is represented as:

[tex]f(x) =ab^x[/tex]

Where:

a represents the initial valueb represents the ratex and f(x) are the variables

So, the initial value of [tex]f(x) = 2(3)^x[/tex] is 2, and the rate is 3

See attachment for the graph of the exponential function

Read more about exponential functions at:

https://brainly.com/question/11464095

A bakery ordered 90.4 pounds of flour. The next week, the bakery used 5.31 pounds of the flour baking cakes. How much flour does the bakery have left? sorry if it's hard​

Answers

Answer:

The relationship shown for the flour and the cost is that of a direct variation because the graph is a straight line, noting that the increase of one variable causes also the increase to the value of the other. The point (1, 0.75) means that every pound of flour costs 0.75 dollar. From the graph given, the bakery will have to pay approximately $30 for 40 pounds of flour.

Step-by-step explanation:

The area of circle Z is 64 t ft?.
What is the value of r?
O r= 4 ft
O r= 8 ft
D
O r= 16 ft
Area
Z
O r= 32 ft
77

Answers

Answer:

O r= 32 ft

Step-by-step explanation:

im not sure this is right sorry i tried lol

The solution is, The radius is 8 ft.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

we know that,

The area of a circle is given by

A = pi r^2

so, we get,

64 pi = pi r^2

Divide each side by pi

64 pi /pi= pi/pi r^2

64 = r^2

Take the square root of each side

sqrt(64) = sqrt(r^2)

8 = r

Hence, The solution is, The radius is 8 ft.

To learn more on Area click:

brainly.com/question/20693059

#SPJ7

Let f(x) = x and g(x) = 7x
Find fg()

Answers

I need points. Shah hdhd

Which set of points lies within plane I
A. T and Y
B. X and V
C. X and Y
D. U and V

Answers

Answer:

congraft you are the 21 millionth queston on brainly

Step-by-step explanation:

493 times 5 minus 76

Also if any of you watch impractical jokers who is your favorite

Answers

Answer:

2389

Joe Gatto

Step-by-step explanation:

493(5-76)

=493(-71)

=-35003

Other Questions
Two pure substances combine to make a new substance. The new substance cannot bephysically separated and has a different boiling point than each of the original substances.This new substance can best be classified asan atoman elementa mixturea compound What kinds of hazards do volcanoes pose for people? O Ash and dust Destruction of land, homes, and cities , Poor air quality for breathing O All of the above About ______ of the bodys blood supply is circulating through the dermis at any given time.75%2%15%25% At the beginning of the twentieth century, there were approximately 270,000 Native Americans left in theUnited States. According to the 2000 Census, there are now four million Native Americans living in the UnitedStates. Better treatment of Native Americans is credited with this population increase. Discuss how the IndianReorganization Act and the Indian Self-Determination and Education Assistance Act aim to improve the livesof Native Americans in the United States. will give brainliest to correct answer.A particle has a charge of 1.9x10-6C. What is the charge on a second particle if the electrical force acting on it is 25N at a distance of 0.32m away? The chemical equation of photosynthesis includes 60, Which best describes this substance? O a solid used during photosynthesis a gas used during photosynthesis a liquid produced during photosynthesis a gas produced during photosynthesis Explain how the extension of a spring is determined Charlie runs laps around a track. the table shows how long it takes him to run different numbers of laps. how long will it take Charlie to run five laps? PLEASE HELP NEED ANSWER ASAP!!!!!!!!!!!!!!!! 1/2h=16 1/2(8)I need help on this pls help its due tomorrow pls show the steps too pls! PLEASE HELP we hold these truths to be self-evident, that al men are rested equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, liberty and the pursuit of Happiness.That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed,-That whenever any Form of Government becomes destructive of these ends, It is the Right of the People to alter or to abolish it, and to lnstitute new Government, laying lts foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. The theme of this passage from the Declaration of Independence is best described as: The people must remove any government that destroys rightsCertain truths are easily understoodLife liberty and happiness are the most important rightsThe government bring safety and happiness what is the device name that Abraham Lincoln made? A kite is 14 ft off the ground and a horizontal distnace of 29 feet awat from you what is the angle measure of x Someone pls help me now 275% of 12 HELP ME PLSSSSS Evan budgets $3,000 a month to spend on living expenses for his family. The table expresses the portion spent on each cost as a percent, fraction, and decimal. Select the correct answer. Which statement best explains the purpose of a narrative essay.A. To provide information about a subject B.to establish a writers view on a topic C. To describe an event as a story D.to detail the steps in a process Each exterior angle of a regular n-gon has a measure of 9. How many sides does the polygon have? Given thata = 5,b = 2 and c = -2work out2b 3ac You are giving your pitch and state that you'll get 30% of this new 1.3 billion market in 2 years. A member of the audience laughs. What did you just say your year two revenue would be? Yeah