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

if f(x) = -3x - 2; Find f(x)

Answers

x=-1/2

Step-by-step explanation:

if you want explanation let me know?

F(x)=-3x-2
0=-3x-2
3x=-2
X=-2/3

Write the absolute value equation that has these two solutions x= (-8,22)

Answers

Answer:

8,22

Step-by-step explanation:

A Toy Story poster is enlarged. The new length is 5 feet and the width is 3 feet. The original length was 6 inches what was the width?

Answers

Okay so changing from 6 inches to 5 feet is a 1:10 ratio (since 5 (feet) x 12 (inches) = 60 (inches) this gives you a 6 (original inches): 60 (inches after enlarging) ratio, which is simplified to 1:10 when you simplify both sides by a factor of 6.
So, let’s plug the 3 feet into this ratio. 3 feet is equal to 36 inches. This gives you 3.6 inches. (Since 3.6 times 10 is 36)

Hope this helps!!

If each movie takes 1 2/5 hours to download,and you download for 5 1/4 hours,how many movies did you download

Answers

Answer:

Step-by-step explanation:

3

Sonya works on a cruise ship and sleeps in a cabin that is 6 feet below sea level. The main deck is 35 feet above Sonya's cabin. How far above sea level is the main deck? add unit of measure!*

Answers

Answer: 29 ft above sea level

Step-by-step explanation:

if she is 6 feet under that could be considered -6, the main deck is above sea level so +35, so it would be 35-6=29 ft

-4x+1/3+2-x/5=



the dashes are fraction things the 3 and the 5 are denominators I have the answere I just wanna check.​

Answers

Answer:

-21x/5 + 7/3

Step-by-step explanation:

-4x + 1/3 + 2 - x/5

= -4x - x/5 + 1/3 + 2

= -(20x+x)/5 + (1+6)/3

= -21x/5 + 7/3

convert the mixed number into a decimal. 5 1/4 That is the fraction of 5 and 1/4

A. 5.25
B. 5
C. 525
D. 52.5​

Answers

Answer:

The answer is A.

Step-by-step explanation:

I did it.

Match the letter to definition

isolate, linear equation,like terms, properties of equality

A. terms consisting of the same variables raised to the
same powers


B. the rules that allow the balancing, manipulating, and
solving of equations (e.g., the addition property of equality
states "if x = y, then x + z = y + z")

C. to separate from other substances; to place apart so
as to be alone

D. an algebraic equation with constants and variable
terms of highest degree 1

Answers

Answer:

b Linear c isolate A like terms and u know d

Step-by-step explanation:

Jada has time on the weekends to earn some extra money. A local bookstore is looking for someone to help sort books and will pay $15.00 an hour. To get to and from the bookstore, however, Jada would have to spend $5.50 on subway fare.

Answers

Answer:

Step-by-step explanation:

I assume you want her profit which is $9.50

15.00-5.50

Monarch butterflies migrate from Canada to Mexico every fall. It is estimated that the butterfly travels about 82 km each day. Suppose the butterfly travels from Edmonton to El Rosario. This is a distance of about 3936 km. How many days does it take? How did you decide which operation to use?

Answers

Given:

Butterfly can travels = 82 km each day.

Total distance = 3936 km.

To find:

The number of day it takes to travel the given distance.

Solution:

Let the number of days it takes to travel be d.

Butterfly can travels about 82 km each day.

So, distance traveled by it in d days = (82d) km

Total distance is about 3936 km.

[tex]82d=3936[/tex]

To isolate d , we need to divide both sides by 82.

[tex]\dfrac{82d}{82}=\dfrac{3936}{82}[/tex]

[tex]d=48[/tex]

Therefore, the required number of days is 48.

the categories this number belongs to: 9√

Answers

I think U gave an incorrect question

Solve 3(4m - 6) = 12 and explain each step

Answers

distribute the 3 to 4m and 6. this makes 12m-18=12
now add 18 to both sides.
12m=30
now divide by 12
m=30/12

please help
thank youu

Answers

Answer:

5

Step-by-step explanation:

i think its y=5 because the bottom one equals 9

Answer:

A or y = 5

Step-by-step explanation:

So from the last explanation, we know that each row or column must be 9. The middle row and middle column must also be 9 so:

6 + y - 2 = 9, and 0 + y + 4 = 9

4 + y = 9, and 4 + y = 9

So we can conclude that:

Y must be 5

The perimeter of a child's rectangular sandbox is 18 feet. Part A:if the length of the sandbox is one foot longer than the width, write an equation that can find the length and width of the sandbox. Part B:using your equation from part a, find the dimensions of the Childs sandbox. Show your work

Answers

Answer:

Length = 5 feet

Width = 4 feet

Step-by-step explanation:

Perimeter of the sandbox = 18 feet

Perimeter of a rectangle = 2(length + width)

the length of the sandbox is one foot longer than the width

Let

Width = x

length = x + 1

Perimeter of a rectangle = 2(length + width)

18 = 2{(x+1) + x}

18 = 2{x + 1 + x)

18 = 2(2x + 1)

18 = 4x + 2

4x = 18 - 2

4x = 16

Divide both sides by 4

x = 16/4

= 4

Width = x = 4 feet

length = x + 1

= 4 + 1

= 5 feet

help me please !!!! i’m so bad at this !!

Answers

Answer:

Step-by-step explanation:

So you would take like three points from the shape and Multiply it by 1/3 and make the new graph.

I would show you but I dont know what to use for it.

Answer:

So, just divide each side by three

Step-by-step explanation:

.....

I cant draw it for you, but thats how u do it

help plz! Find the ratio between:
6 months and 1 year 6 months​

Answers

Step-by-step explanation:

r u adding them or not if so it will be 2 years:0 months

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x
+1?
Oright 1 unit
o left 1 unit
Oright 2 units
left 2 units

Answers

Answer:

The translation is left 1 unit, up 5 units ⇒ A

Step-by-step explanation:

Let us revise the rules of translation of a function

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  

If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  

If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  

If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h =   and k = f(h)

You will use the vertex form to find the translation

∵ g(x) = x² + 2x + 6

∴ a = 1 and b = 2

→ use the rule of h to find it

∴ h =  

∴ h = -1

→ Use it to find k

∵ g(h) = k

∴ k = g(-1)

→ Substitute x by -1 in g to find k

∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6

∴ k = 5

→ Substitute the values of h and k in the vertex form above

∴ g(x) = 1(x - -1)² + 5

∴ g(x) = (x + 1)² + 5

→ By using the 2nd and 3rd rules of translation above

∴ f(x) is translated 1 unit to the left and 5 units up

∴ The translation is left 1 unit, up 5 units

Answer:

it's A. left 1 unit

Step-by-step explanation:

there's a graphing tool on e d g  just copy and paste the equations in that and it'll give you the answer

Mr. Bauer deposits $600 in an account that earns simple interest at an annual rate of 2%.

Answers

Answer:

The answer to this is:

600 ( 1 + 3 x 0.02)

Drag the tiles to the correct boxes to complete the pairs.
Match each solution to the equation it solves.

Answers

Answer:

the first one is 3

the second one is 7

the third one is -2

and the last one is -3

Step-by-step explanation:

The equation is matched with its solutions below;

1/4x + 5/3x - 4 = 2 - 1/12x; x = 33.2b - 4.7 = 3b - 3.3; b = 74.6y - y + 4 = y - 1.2; y = -27.5c - 2.5c + 8 = - 7; c = -3

What is the solution to the equation?

1/4x + 5/3x - 4 = 2 - 1/12x

combine like terms

1/4x + 5/3x + 1/12x = 2 + 4

(3x+20x+x) / 12 = 6

24/12x = 6

2x = 6

Divide both sides by 2

x = 6/2

x = 3

3.2b - 4.7 = 3b - 3.3

combine like terms

3.2b - 3b = -3.3 + 4.7

0.2b = 1.4

divide both sides by 0.2

b = 1.4 / 0.2

b = 7

4.6y - y + 4 = y - 1.2

combine like terms

4.6y - y - y = - 1.2 - 4

2.6y = - 5.2

divide both sides by 2.6

y = -5.2 / 2.6

y = -2

7.5c - 2.5c + 8 = - 7

5c = -7 - 8

5c = -15

divide both sides by 5

c = -15/5

c = -3

Read more on equation:

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hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. what is the smallest number of each
that could be purchased so that the customer has the same number of hot dogs and buns?

Answers

Answer:

2 packs of buns and 3 packs of hot dogs

Step-by-step explanation:

multiples:

      8: 8, 16, 24

packs: 1, 2, 3

   12: 12, 24, 36

packs: 1, 2, 3

A scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.​ A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Explain or show your reasoning.

Answers

Answer: Actual length of the bus = 171.67 feet

Width of the lake on the scale drawing = 12.5 inches

Step-by-step explanation:

Given : A scale drawing of a school bus has a scale of 12 inch to 5 feet.

i.e. 12 inch = 5 feet

[tex]\Rightarrow \text{ 1 inch}=\dfrac{5}{12}\text{ feet}[/tex]

If length of school bus on scale drawing = 412 inches

Then, Actual length of bus = [tex]\dfrac{5}{12}\times412=171.67\ \text{feet}[/tex]

A scale drawing of a lake has a scale of 1 cm to 80 m.

If the actual width of the lake is 1,000 m

then, the width of the lake on the scale drawing = [tex]\dfrac{1000}{80}=12.5\text{ inches}[/tex]

Calculate Social Security taxes, Medicare taxes, and FIT for Jordon Barrett. He earns a monthly salary of $13,400. He is single and claims 1 deduction. Before this payroll, Barrett’s cumulative earnings were $128,120. (Social Security maximum is 6.2% on $128,400 and Medicare is 1.45%.) Calculate FIT by the percentage method.

Answers

Answer:

Step-by-step explanation:

From the given information:

Social security taxes can be calculated as:

$128,400 - $128,120

= $280

Also, we know that the current monthly salary = $13, 400

So, social security tax is withheld by $280

This implies that:

Social security taxes = 280 × 0.062

= $17.36

The medical care taxes will now be:

= $13,400 × 1.45%

= $194.30

Using the percentage method to calculate the federal income tax; we have:

Use the tax bracket from 2017, marginal tax rate = 28%

federal income tax = $13400 × 0.028

federal income tax = $3752

PLEASEE HURRY what is the value of x?

Answers

65 because 180-45=135. And 135-5=130. 130/2=65!

0.33333... rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

Answer:

I think rational because like it can be a fraction. but like I wouldn't trust me.

what is 4/5 divided by 1/2

Answers

Answer:

Decimal form: 1.6

Fraction Form: 1    6/10

3=−2 |14s−5| +3 can i get a simple explination im kind of dumb lol

Answers

Answer:

s=5/14

Step-by-step explanation:

cancel equal terms on both sides of the equation

0=-2 x |14s-5|

swap the sides of the equation

-2 x |14s-5|=0

divide both sides of the equation by -2

|14s-5|=0

when the absolute value of 14s-5= 0, then 14s-5=0

move the constant to the right-hand side and change its sign

14s=5

now divide both sides of the equation by 14

s=5/14

Two Friends met up for coffee and dessert. Each friend got a medium coffee and two cupcakes, and one friend bought a mug for $12.00. the medium coffee was 3.50. The friend who bought the mug paid for their order. The total was $29.00. What was the price of each cupcake?

Answers

Answer: each cupcake was 6.75

Step-by-step explanation: 12.00 + 3.50 =15.50 29.00- 15.50 is 13.50 divide by 2 boom 6.75 is each cupcake

whats the best lil peep song lol

Answers

Answer:

Nutz in my opinion

Step-by-step explanation:

Answer:

girls

Step-by-step explanation:

Justin is taking a taxicab to pick up his car from the auto shop. The taxi service charges an initial fee of
$5. There is an additional charge of $0.75 for each mile the taxi drives. How much will it cost Justin if the
auto shop is 25 miles away?

Answers

5+.75m= 5+.75(25) = 5+18.75= 23.75

An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
HELP FORE BRAINLIEST ASAP!!!

Answers

Answer:

33%

Step-by-step explanation:

*i rounded 1/3 ( 33.3 repeating )*

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