Anna and Elsa are helping set up for the Christmas celebration at Magic Kingdom. They have to install 7 million lights for the annual display. It takes Elsa 14 days to set up the 7 million lights by herself and it takes Anna 11 days to set up the 7 million lights by herself. How long will it take them to do it together?

Answers

Answer 1

Answer:

If they work together, they will take 6.16 days.

Step-by-step explanation:

Elsa takes 14 days to complete the work.

So, 1 day work by Elsa is [tex]\frac{1}{14}[/tex]

Anna takes 11 days to complete the work.

So, 1 day work by Anna is [tex]\frac{1}{11}[/tex].

So, Let if they work together, it would take x number of days.

So, we can set up equation as

[tex]\frac{1}{14} +\frac{1}{11}=\frac{1}{x}[/tex]

Find LCD, which is 154.

[tex]\frac{11}{154} +\frac{14}{154} =\frac{1}{x}[/tex]

Simplify

[tex]\frac{25}{154} =\frac{1}{x}[/tex]

Cross multiply,

25x=154

Divide both sides by 25

x=6.16 days

If they work together, they will take 6.16 days.


Related Questions

Please solve this question I'm giving away 25 points hurry

Answers

Answer:

5t

Step-by-step explanation:

hey i hope this helps

Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.

Answers

Answer:

11 3/5 containers

Equivalent to 11.6 containers

Step-by-step explanation:

Total pounds of potato salad = 14 1/2 pounds

Pounds in each container = 1 1/4 pounds

How many containers does she need?

Number of containers needed = Total pounds of potato salad / Pounds in each container

= 14 1/2 ÷ 1 1/4

= 29/2 ÷ 5/4

= 29/2 × 4/5

= (29×4) / (2×5)

= 116/10

= 11 6/10

= 11 3/5 containers

Equivalent to 11.6 containers

Which graphs form a function? (Choose all that apply)

Answers

A and D
To find it out on a graph is the line test
Draw a line going up and down and if it only passes the line once it’s a function but if it touches the line more then once it is not

What is the area of rectangle CDEF?
Area= ...square units

Answers

Step-by-step explanation:

I think it's 48 square units

PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST

Answers

Answer:

Hiii

Step-by-step explanation:

3. M=-3/4  B=4

6. M=-5/4  B=-2

Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?

Answers

Answer:

A≈50298

Step-by-step explanation:

The sum of a number times 9 and 20 is at least 28.

Translate the sentence into an inequality

Answers

Answer:

9x+20>=28

Step-by-step explanation:

x is the number

question is in the picture

Answers

Answer:

The second and fourth options

Step-by-step explanation:

A function is where one the inputs have only one output. In this case all we have to do is look at the x value (x,y) and see when it goes 1,2,3,4 and that means there are no repeating x and in that case each input has only one output. If you look at the other ones they have a repeating x and that means the input has two outputs and therefore it isn't a function.

HELP PLEASE!

a car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft

a. 44 ft/s
b. 95 ft/s
c. 5720 ft/s
d. 0.0181 ft/s

Answers

I'm pretty sure its c

because 5280x65=343200

and 343200/60 is 5720

Answer: It’s 95 ft/s

Step-by-step explanation:

quiz

Simplify the expression 3.8 - 5.1n - 4n + 5

Answers

Answer:

8.8-9.1n

Step-by-step explanation:

Add 3.8+5 together to get 8.8, then add -5.1n and -4n to get -9.1n.

question is in the picture please show work

Answers

Answer:

D

Step-by-step explanation:

The m=3/4 when graph

the answer is d, i’m pretty sure

Someone pls help ASAP!!!!

Answers

LwkakakiakakakakanNanmamamamammamamamamamamakakakooo

What expressions are equivalent to 6.7 - (-2.5)

Answers

Answer:

[tex]6.7-\left(-2.5\right)=9.2[/tex]

Step-by-step explanation:

Given the expression

[tex]6.7-\left(-2.5\right)[/tex]

Solving the expression to get the equivalent function

[tex]6.7-\left(-2.5\right)[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]=6.7+2.5[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:6.7+2.5=9.2[/tex]

[tex]=9.2[/tex]

Thus,

[tex]6.7-\left(-2.5\right)=9.2[/tex]

can someone please help me

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

9n = [tex]\frac{15}{7}[/tex] - 2 ( multiply through by 7 to clear the fraction )

63n = 15 - 14 = 1 ( divide both sides by 63 )

n = [tex]\frac{1}{63}[/tex]

(b)

[tex]\frac{1}{3}[/tex] = k - 4 ( multiply through by 3 to clear the fraction )

1 = 3k - 12 ( add 12 to both sides )

13 = 3k ( divide both sides by 3 )

[tex]\frac{13}{3}[/tex] = k

(c)

g - [tex]\frac{2}{5}[/tex] g = 3 ( multiply through by 5 to clear the fraction )

5g - 2g = 15

3g = 15 ( divide both sides by 3 )

g = 5

(d)

[tex]\frac{3}{7}[/tex] w + 2w = 3 ( multiply through by 7 to clear the fraction )

3w + 14w = 21

17w = 21 ( divide both sides by 17 )

w = [tex]\frac{21}{17}[/tex]

The graph of a function is shown:

scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3

Which of the following correctly identifies the set of outputs?

{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}

Answers

Answer:

{–3, –1, 3, 4}

Step-by-step explanation:

Answer:

the following correctly identifies the set of outputs?

{−3, −1, 3, 4}

Step-by-step explanation:

Help pls I’m really stupid

Answers

It’s 8 because 8 don’t call yourself stupid

Answer:

8

Step-by-step explanation:

[tex]x - y \\ \\ = 6 - ( - 2) \\ \\ = 6 + 2 \\ \\ = 8[/tex]

You are a genius and not a stupid.

The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?The price of a computer was decreased by 20% to £420. What was the price before the decrease?

Answers

the first one would be $160 and the second one would be $525

Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 ft. and Grace threw it 39 ft. How far did the team throw the javelin?

Answers

Answer:

42+39 or 81 feet

Step-by-step explanation:

add them up and you get 81 feet.

Hope this helps plz hit the crown :D

Leah would like to earn at least $120 per month. She babysits for $5 an hour and works at an ice cream shop for $10 per hour. Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop.

Answers

This question is incomplete

Complete Question

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $10 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y

represent the number of hours Leah works at the ice cream shop.

Answer:

The inequalities to solve this question is given as:

x + y ≤ 20

5x + 10y ≥ 120

Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120

Step-by-step explanation:

Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop. Leah cannot work more than a total of 20 hours per month.

Hence:

x + y ≤ 20 ...... Equation 1

Leah would like to earn at least $120 per month.

She babysits for $5 an hour and works at an ice cream shop for $10 per hour.

Hence, out Equation is given as:

x × $5 + y × $10 = $120

5x + 10y ≥ 120..... Equation 2

The inequalities to solve this question is given as:

x + y ≤ 20

5x + 10y ≥ 120

To find x and y:

x + y = 20

x = 20 - y

5x + 10y = 120

Substitute: 20 - y for x

5(20 - y) + 10y = 120

100 - 5y + 10y = 120

Collect like terms

- 5y + 10y = 120 - 100

5y = 20

y = 20/5

y = 4 hours

Note:

x = 20 - y

x = 20 - 4

x = 16 hours

Hence:

Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120

if x = 2, and y = 4, then x^y =

Answers

Answer:

16

Step-by-step explanation:

[tex]x^{y} = 2^{4}=16[/tex]

for a relation to be a function what must never happen

Answers

Answer:

Step-by-step explanation:

A function is a relation in which each input has only one output

so a relation cannot have more than one output

Answer:

each input (x-value) only has one output (y-value)

Step-by-step explanation:

you can use the vertical line test; pretend to draw vertical lines and if there are two point on the graph where the vertical line touches, it cannot be considered function.

plz help plz plz plz

Answers

Answer:

The answer is A

Step-by-step explanation:

Can't tell u da step

What is the reciprocal of 5 1/8

Answers

Answer:

0.19512195122

Step-by-step explanation:

It is 8/41.

5 1/8 = 41/8.
You flip it over and it equals to 8/41

the length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70. Find the dimensions of the rectangle

Answers

Answer:  The width is 7 meters. The length is 10 meters.

Step-by-step explanation:   Area = Length × width

Length is 2w - 4  

Substitute that value for length, then solve for w.

70 = w(2w - 4)

70 = 2w² - 4w  reorganize to quadratic equation form

2w² - 4w -70 = 0   These are All even numbers; factor out 2 (divide all by 2)

w² - 2w - 35 = 0  factor this

(w - 7)(w + 5)    set each factor = 0 and calculate the value of w.

w+5=0  w= -5  (disregard this one because dimensions of real rectangles can't be negative)

w - 7 = 0  w = 7   The width is 7

Substitute into the original expressions to get the value of Length.

2(7) -4 = L    14 - 4 = L  The Length is 10.

Check by substituting into the original equation:

w × 2w -4 = 70

7 × 2(7) -4 = 70

7 × 10 = 70    TRUE!

w

Dimensions of the rectangle are length=10 meter and width= 7 meter

What is Rectangle?

A rectangle is a quadrilateral with four right angles.

Given,

The length of a rectangle is 4 meter less than twice its width

Consider,

l is the length of the rectangle

w is the width of the rectangle

l=2w-4

Area of the rectangle = Length × Width

70=l × w

Substitute the value of l is the second equation

70=(2w-4)×w

[tex]2w^{2} -4w=70\\2w^{2} -4w-70=0[/tex]

Take 2 outside

[tex]2(w^{2}-2w-35)=0\\ w^{2} -2w-35=0\\(w+5)(w-7)=0[/tex]

w=7,-5

Hence w wont be negative value

Therefore w=7 meter

Then,

l×w=70

[tex]l=\frac{70}{7}\\[/tex]

l=10 meter

Hence, the dimensions of the rectangle are length=10 meter and width= 7 meter

Learn more about rectangle here

https://brainly.com/question/16167300

#SPJ2

(8+r)4
It's simple but I wanna check if my messy self is actually right lol​

Answers

Answer:

the answer to this will be 32+4r if you simplify

*PLS HELP ME ASAP 100 POINTS* There are 49 servings in a box of cereal. Each serving size is 1/7 of a cup of cereal. If one person eats 1 cup and another person eats 4 cups, how many cups are left in the box of cereal?

Answers

Answer:

2 cups left

Step-by-step explanation:

find the number of kilograms in 250 pounds. there are 1000 grams in a kilogram and 454 grams in a pound.

Answers

Answer:

113 kilograms

Step-by-step explanation:

peeps go look up egde rewies

Answers

*shocking*

-runs in high heels-

-trips-

oh my! dear child..

Aldo made a shirt using 1/5 meters of yellow fabric and 2/3 meters of red fabric. How many meters of fabric did he use in all? Write your answer as a fraction in simplest form.

Answers

Answer:

Aldo's shirt was made of 13/15 meters of fabric.

Step-by-step explanation:

We need to add these fractions. However, in order to do so, we need to find the LCM, which in this case, is 15.

1/5 + 2/3 =

3/15 + 10/15 =

13/15

This fraction is also written in simplest form. Therefore, Aldo's shirt was made of 13/15 meters of fabric.

Hope this helps! :D

I am doing a percent equation problem and I need help please here’s the question 20% of blank =10

Answers

Answer:

[tex]50[/tex]

Step-by-step explanation:

Let [tex]x =[/tex] blank (for convenience)

[tex]20\%x=10[/tex]

[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)

[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)

[tex]x=50[/tex]

∴ Blank = 50

Hope this helps :)

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