Ainsley walks 3/5 mile in 1/3 of a day. Sarah walks 5/8 mile in 2/6 of a day. Who walked farther, Ainsley or Sarah? Find the unit rate for each girl and then tell who you think walked farther with the correct unit rate given below. *

Answers

Answer 1

[tex]Ainsley \: walked \: in \: \frac{1}{3} \: \: of \: a \: day \ \: = \frac{3}{5} mile[/tex]

[tex] = \frac{1}{3} \times 24 = \frac{3}{5} [/tex]

[tex]8 \: hours = \frac{3}{5} \: miles[/tex]

[tex]Sarah \: walked \: in \: \frac{2}{6} of \: a \: day \: = \frac{5}{8} miles[/tex]

[tex] \frac{2}{6} \times 24 = \frac{5}{8} [/tex]

[tex]8 \: hours \: = \frac{5}{8} \: miles[/tex]

Let us see who walked more :

[tex]Ainsley \: walked \: = \frac{3 \times 8}{40} [/tex]

[tex] = \frac{24}{40} \: miles[/tex]

[tex]Sarah \: walked \: = \frac{5 \times 5}{40} [/tex]

[tex] = \frac{25}{40} \: miles[/tex]

[tex] \frac{24}{40} < \frac{25}{40} [/tex]

Sarah walked farther than Ainsley .

[tex] \frac{25}{40} - \frac{24}{40} = \frac{1}{40} \: miles[/tex]

∴ Sarah walked farther than Ainsley by 1/40 miles .


Related Questions

Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 9
units in the drawing.
Scale:
10 cm
length
A
What is the length, in cm, of the actual hotdog?
cm

Answers

It’s 15 centimeters since it’s 9 units long. 10cm is 6 units and then you have 3 units left. Half of 6 is 3 so in order to find the cm for the last 3 units you divide by 2. So 10+5=15

The length of the actual hotdog comes to be 15cms.

What is a scale factor?

A scale factor is a ratio between corresponding measurements of an object and a representation of that object.

From the diagram

6 units = 10cm

So, 1 unit =10/6 cm

The length of the hotdog shown in the graph = 9 units

So, 9 units = 9*(10/6)

9 units = 15cms

So, the actual length of the hotdog =15cms

Thus, the length of the actual hotdog comes to be 15cms.

to get more about scale factors visit:

https://brainly.com/question/1903243

solve for v pls thanks

Answers

Answer:

v = 18

Step-by-step explanation:

8/3v = 48

were going to have to get 3 on the other side, so were going to cancel it out and multipliy it because it is a fraction

now we would have 8v = 48*3

48*3=144

now the equation looks like this 8v = 144

to isolate v we can divide 8 on both sides

which brings us to v = 18

High Hopes^^

Barry-

it says to show work...

Answers

Answer:

The answer is no solution.

Step-by-step explanation:

-9fgh/f,f=0 I need help please I'm failing

Answers

Answer:

umm this seriously dont make sense..

PLEASE HELP MEH IM NEED THIS NOW PLEZZ

What is x ? -2x + 3 < 5

Answers

Answer: x>-1

Step-by-step explanation: I know this because I solved this equation. I know that is not a good explanation but I know it is right.

Answer:

x > -1

Step-by-step explanation:

-2x + 3 < 5

subtract 3 from both sides of inequality

-2x < 2

divide both sides of inequality by -2. Keep in mind whenever you divide or multiply by a negative number to both sides of inequality the symbol flips.

x > -1

5n + 3 > 4 - (6 – 5n)

Answers

3>-2 i believe
djdjjdksksk sorry i needed more characters

Which of the following explains the relationship between angles C and D

Answers

Answer:

they are a linear pair

Step-by-step explanation:

they each add up to 180º when added together

They are a linear pair and supplementary. Both angles are 90 degrees, border each other and add up to 180, so they are both linear and supplementary.

= –5x + 30 x = 10 What is the solution to the system of equations? (–20, 10) (10, –20) (10, 4) (4, 10)

Answers

Answer:

BBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother said he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this solution?

Answers

Answer:

Hey there! The answer you selected is correct!

Step-by-step explanation:

$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Money from walking neighbor's dog = $6 per hour

Money from car wash = $7.5 per hour

Total Number of hours of work not more than 15 hours

Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars

So, money from walking neighbor's dog = 6c

and money from car wash = 7.5d

Therefore total money saved = 6c + 7.5d

Total Number of hours of work is not more than 15 hours

⇒ d + c ≤ 15

∵ Tom needs to make at least $75 to cover prom expenses

⇒ 6c + 7.5d ≥ 75

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

To learn more about inequality :

https://brainly.com/question/14506583

#SPJ2

What are all of the real roots of the following polynomial?
f(x) = x5 + 3x4 + 5x3 + 15x2 + 4x + 12

Answers

According to the graphic method, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.

How to find the roots of quintic equation

Quintic functions are polynomics of degree 5, there are numerical and graphical approaches to find real roots of those kind of polynomials. By algebra we know that quintic equations have at a least one real root and at most five real roots.

In this problem we shall use a graphic approach to determine the real roots of the quintic equation, as it offers sufficiency and quickness for analysis. Please notice that a point of the curve is a root if the point lies on the x-axis.

The graph is contained in the image attached below. According to the outcome, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.

To learn more on polynomials: https://brainly.com/question/11536910

#SPJ1

Help me please, and thank u

Answers

Answer:

Step-by-step explanation:

Check the attached diagram... since they are parallel lines, those angles should be equal. now as per the theorem of opposite angles, (3x + 10)° should be equal to 70° .

(3x + 10)° = 70°

3x = 60°

x = 20

Solve xy − 9 = k for x. I WILL MARK BRAILIEST

Answers

Answer:

x = [tex]\frac{k+9}{y}[/tex]

Step-by-step explanation:

Given

xy - 9 = k ( add 9 to both sides )

xy = k + 9 ( isolate x by dividing both sides by y )

x = [tex]\frac{k+9}{y}[/tex]

Simplify this algebraic expression completely.
8y – 2(y+4)
ОА. бу – 4
ОВ. бу+2
Ос. бу+ 4
D. бу – 8

Answers

Answer:

2 (3 y - 4) <- Complete answer, but since you only have those choices it's

6 y - 8

Step-by-step explanation:

Simplify the following:

8 y - 2 (y + 4)

Hint: | Distribute -2 over y + 4.

-2 (y + 4) = -2 y - 8:

8 y + -2 y - 8

Hint: | Group like terms in 8 y - 2 y - 8.

Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:

(8 y - 2 y) - 8

Hint: | Combine like terms in 8 y - 2 y.

8 y - 2 y = 6 y:

6 y - 8

Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.

Factor 2 out of 6 y - 8:

Answer: 2 (3 y - 4)

2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.

(a) What output does the rule give when the input is ?

(b) What output does the rule give when the input is ?

(c) Is the rule a function? Explain why it is or why it is not.

Answers

Complete Question:

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

[tex]x = -6[/tex]

[tex]y = 0[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x => -6 - 3[/tex]

[tex]x => -9[/tex]

[tex]y=> y + 4[/tex]

[tex]y=> 0 + 4[/tex]

[tex]y=> 4[/tex]

Hence:

The output is (-9,4)

Solving (b):

Inputs:

[tex]x = 3[/tex]

[tex]y = -4[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x=>3-3[/tex]

[tex]x = 0[/tex]

[tex]y=> y + 4[/tex]

[tex]y=>-4+4[/tex]

[tex]y=>0[/tex]

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

Plz HELP with a and b I WILL MARK AS A BRAINLIEST IF YOU CAN HELP ME WITH BOTH A AND B PLZZ

Answers

Answer:

a) x = 60

b) b = 110

Step-by-step explanation:

A)

2x and 120 are vertical angles.

vertical angles are equivalent.

2x = 120

divide both sides of the equation by 2

2x/2 = 120/2

x = 120/2

x = 60

B)

b + 20 and 130 are on the same side of the line

(I forgot what the math term is, but they're also equal)

b + 20 = 130

subtract 20 from both sides of the equation

b + 20 - 20 = 130 - 20

b = 130 - 20

b = 110

J is the Midpoint of Segment MN. If MJ=23, Find MN.​

Answers

Answer:

46?

Step-by-step explanation:

It cost Zachary $7.00 to send 140 text messages. How many text messages did he send if he spent $0.85?

Answers

Answer:

17 messages.

Step-by-step explanation:

Divide 140 by 7 to get 20.

This means it costs 1 dollar for 20 messages.

And therefore 17 messages for 85c.

help pls.. due in a few mins

Answers

Answer:

f(1)=1

Step-by-step explanation:

f(1) is talking about the x point. this point correlates with the y axis at (1,1). this makes the answer f(1)=1

3x^2+9x+6=0
Solve for quadratic formula

Answers

Answer:

[tex]x=-1 ,-2[/tex]

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Define

3x² + 9x + 6 = 0

a = 3

b = 9

c = 6

Step 2: Substitute and Evaluate

[tex]x=\frac{-9 \pm \sqrt{9^2-4(3)(6)} }{2(3)}[/tex]

[tex]x=\frac{-9 \pm \sqrt{81-72} }{6}[/tex]

[tex]x=\frac{-9 \pm \sqrt{9} }{6}[/tex]

[tex]x=\frac{-9 \pm 3 }{6}[/tex]

[tex]x=\frac{3(-3 \pm 1) }{6}[/tex]

[tex]x=\frac{-3 \pm 1}{2}[/tex]

[tex]x=\frac{-2}{2} ,\frac{-4}{2}[/tex]

[tex]x=-1 ,-2[/tex]

if the temperature was 55 degrees Fahrenheit and later on it was -13 degrees Fahrenheit whats the difference??

Answers

Answer:

68

Step-by-step explanation:

It just it

Answer:

68°F

Step-by-step explanation:

55 degrees minus -13 degrees is 68, the difference is 68 degrees Farenheit.

srry I meant 68

Customers of a utility company received notices in their monthly bills that heating costs for the average customer had increased 125% over last year because of an unusually severe winter. In January of last year, the Garcia's paid $120 for heating. What should they expect to pay this January if their bill increased by 125%?

Answers

Answer: $270

Step-by-step explanation:

Cost of heating last year = $120

The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:

= $120 + (125% × $120)

= $120 + (1.25 × $120)

= $120 + $150

= $270

1. Choose the correct number to continue the pattern.
0, 5, 2, 7, 4, 9, 6,

Answers

Answer:

11

Step-by-step explanation:

Answer:

the next 3 are: 11,8,13. hope this helps!

Some1 help with the congruence statement plz

Answers

Answer:

It would be rotation what do u mean by congruent statement? Angles? B is congruent to D A IS CONGRUENT TO e

Step-by-step explanation:

can somebody help me ?

Answers

I believe it is B.) 110°

7. Movers, Not Shakers moving company charges $800 plus $16 per hour. Hernia Movers
charges $720 plus $21 per hour.

a. After how many hours, h, would the two moving companies cost the same amount?




b. What would that amount be?

Answers

Answer:

a.16

b.1056

Step-by-step explanation:

a. So we know that Not Shakers charges 800 dollars  + 16 per hour, so we can call that 800 + 16h. We also know that Hernia Movers charges 720 dollars + 21 per hour, so we can call that 720 + 21h.

Now in order to find when they will have the same amount, we have to solve for h.

Equation:

800 + 16h= 720+21h

800=720+5h

5h=80

h=16

The two companies will have the same amount after 16 hours.

b. Now we have to find that amount, so all we have to do is replace h with 16. so 720 + 21(16) = 1056.

Therefore, the amount will be 1056 dollars.

Solve. The following decimal number operations.


1 a. 1.2 + ______ = 1.8


1 b. 3.9 + ______ = 7.47



2 a. ______ + 3.8 = 7.9


2 b. ______ + 0.36 = 0.36



3 a. 1.2 + ______ = 4.1


3 b. ______ + 0.63 = 6.33



4 a. 4.1 + ______ = 7.68


4 b. ______ + 0.9 = 3.8



5 a. 5.1 + ______ = 5.98


5 b. 3.1 + ______ = 4.3



6 a. 0.7 + ______ = 1.3

Answers

1a. .6
1b. 3.57

2a. 4.1
2b. 0

3a. 2.9
3b. 5.7

4a. 3.58
4b. 2.9

5a. .88
5b. 1.2

6a. .6

Answer:

XDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

7. What's the volume of a square pyramid that has a base side of 12 and a height of 16?
A. 2304
B. 1536
C. 192
D. 768

Answers

Answer:

2304

Step-by-step explanation:

You should multiply width by length by height

Trapezoid JKLM with vertices J(-4,3),K (-2,7),L(2,7), and M(3,3) in the line y=1. Find the cord images of the reflected object.

Answers

9514 1404 393

Answer:

J'(-4, -1)K'(-2, -5)L'(2, -5)M'(3, -1)

Step-by-step explanation:

Reflection over the line y=1 is equivalent to the transformation ...

  (x, y) ⇒ (x, 2-y)

Then the transformed coordinates are ...

  J(-4, 3) ⇒ J'(-4, -1)

  K(-2, 7) ⇒ K'(-2, -5)

  L(2, 7) ⇒ L'(2, -5)

  M(3, 3) ⇒ M'(3, -1)

_____

You can do the arithmetic (as we have done above), or you can simply read the coordinates of the reflected points from the graph.

please help asappppp!!

Answers

Step-by-step explanation:

3 because I don't really know

3(5+3)^2 +14


help me pls i cannot deal w my parents again

Answers

Answer:

206

Step-by-step explanation:

I put it in a calculator

Answer:

206

Step-by-step explanation:

3(5+3)^2+14

3(8)^2+14

3(64)+14

194+14

=206

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