together dien and jane eat 2/3 a pizza in 4 seconds. how long would it take each of them to eat the whole pizza alone if jane can eat a pizza 5 seconds faster than dien?

BRAINLIEST WILL BE GIVEN

Answers

Answer 1

Answer:

10 secs for Jane and Dien is 15 secs

Step-by-step explanation:

Answer 2

Using the together rate, it is found that Jane can eat a pizza in 10 seconds and Dien in 15 seconds.

What is the together rate?

It is the sum of each separate rate.

In this problem, the rates are:

Dien's rate: 1/x+5.Jane's rate: 1/x.Together rate: (2/3)/4 = 1/6

Hence:

[tex]\frac{1}{x + 5} + \frac{1}{x} = \frac{1}{6}[/tex]

[tex]\frac{x + x + 5}{x(x+5)} = \frac{1}{6}[/tex]

[tex]\frac{2x + 5}{x^2 + 5x} = \frac{1}{6}[/tex]

[tex]x^2 - 7x - 30 = 0[/tex]

[tex](x - 10)(x + 3) = 0[/tex]

The positive solution is x = 10, hence Jane can eat a pizza in 10 seconds and Dien in 15 seconds.

More can be learned about the together rate at https://brainly.com/question/25159431


Related Questions

Which of the following is a true statement based on the graph shown?



R < Q
P > Q
R > S
R ≥ Q

Answers

Answer:

r >= Q

Step-by-step explanation:

THE LAST ONE

Answer:

r-q

Step-by-step explanation:


a) Change 9 out of 50 to a percentage.​

Answers

Hey there! Your question’s answer would be 18%..

Ok so 9/50 would be 9% out of 50% which is also 100%. If you want to find 50% turn to 100%, multiply 50 with 2 to get 100.

So you do the same thing to 9%. 9 times 2 would be 18%.

Final Result: 9% out of 100% (whole)

9 out of 50 in percentage equivalent terms will be 18% .

Given, 9 out of 50 to a percentage .

Convert fractions to percentage.

Multiply fraction by 100 , the result will be in percentage .

Fraction = [tex]\frac{9}{50}[/tex]

Percentage equivalent

[tex]\frac{9}{50} \times 100\\= 18[/tex]

Thus the percentage equivalent is 18% .

Know more about fraction to percentage,

https://brainly.com/question/17075652

#SPJ6

find the value of x! this is geometry

Answers

Answer:

it's v-33

Step-by-step explanation:

I just used cymath recommended

how many perfect squares are divisors of 10

Answers

Answer:

0

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

We can stop here because the from here on forward they are bigger than 10 itself.

Please help me
This is the third time that I am asking and still no one has answered it.

Answers

Answer:

I'm 99% sure that it is $3,311

Step-by-step explanation:

sorry if i was wrong

PLS HELP DUE TODAY I GIVE BRAINLIEST

Answers

Step-by-step explanation:

1.) 5+x=20

20-5=x

15=x

2. 5×x=20

20÷5=4

x=4

3.)5÷20=x

0.25=x

hope this helps

square root of 3x+7=x-1

Answers

Answer:

you can't find the square root of a negative

Step-by-step explanation:

Kira ,Charlie , and Miguel have a total of $105 in their wallets . Kira has $9 less than Miguel. Charlie has 4 times what Miguel has . How much does each have ?

Answers

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

[tex] = \tt \: x + x - 9 + 4x = 105[/tex]

[tex] = \tt2x + 4x - 9 = 105[/tex]

[tex] = \tt 6x - 9 = 105[/tex]

[tex] = \tt6x = 105 + 9[/tex]

[tex] = \tt6x = 114[/tex]

[tex] = \tt x = \frac{114}{6} [/tex]

[tex] = \tt x = 19[/tex]

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore, Money with Kira = $10Money with Charlie = $76Money with Miguel = $19

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

is 1,2,3,4,5 domain or range?

Answers

Answer:

domain

Step-by-step explanation:

This is domain, as it is the complete set of values. Range would be the difference between the highest and the lowest value (5-1)

Jose has a baseball cards album. He
wants to fill his album with 200 cards.
He puts 20 cards in 8 pages. How many
more cards he needs to fill his baseball
cards album?
Pleade help quick

Answers

128 I think


200 - 20 = 180

20 divided by 8 = 2.5

180 divided by 2.5 = 72

200 - 72 = 128


sorry if it’s wrong.

please help with number 31 problem a and explain
:p

Answers

Answer: y=0.75x+5
Explanation: every apple cost $0.75 so you would put ‘x’ next to that, since this represents the number of apples purchased (which can be more than 1). 5 would be added at the end since the person only need to buy 1 tickets to enter.

Graph y=4x-9
If you add explanation will give branliest

Answers

y = 4x-9

Answer : Slope = 4 because y = mx+b

Y- intercept = 9

Any line can be graphed using two points values, and plug them into the equation to find the corresponding values.

HOPE THIS HELPS!

Select all expressions that are equivalent to 16x − 12 − 24x + 4 by showing your work & explain your reasoning. 1)40x - 16 2)4 - 12 - 4x + (- 4x) 3) 8x - 8 4)-8 (r + 1)

Answers

Answer:

4 - 12 - 4x + (- 4x)

-8 (x + 1)

Step-by-step explanation:

16x - 12 - 24x + 4

16x - 24x - 12 + 4

-8x - 8

1)40x - 16 = not equivalent

2)4 - 12 - 4x + (- 4x)

4 - 12 - 4x - 4x

-8 - 8x = - 8x - 8 (equivalent)

3) 8x - 8 (not equivalent)

4)-8 (x + 1) = - 8x - 8 (equivalent)

At the ski shack customers can rent skis snowboards boots and poles by the day. Ava is renting a snowboard. Lucia has her own skies but needs to rent boots

Answers

Answer:52s+30b

Step-by-step explanation:

trust me I took the quiz

This figure is 1/4 of a circle.
What is the best approximation for the perimeter of the figure?
Use 3.14 to approximate pi.

A 4.7 cm

B 7.7 cm

C 10.7 cm

D 18.8 cm

Answers

Answer:

7.7

oof oof oof oof oof oof oof oof oof oof oof

Answer:

10.7

Step-by-step explanation:

Suppose you had a telephone directory listing all the businesses in a city, alphabetized by type of business. If you wanted to phone 100 of them to get a representative sampling of opinion on some issue, how would you select which 100 to phone? Why would it not be a good idea to simply use the first 100 businesses listed

Answers

Answer:

Step-by-step explanation:

The best way to select the 100 phone calls would be to randomly select the same amount of phone numbers from each individual type of business. This would make sure that there are no bias choices and would be 100% representative of the overall business market in every single type of business. If you choose the first 100 phone numbers you are choosing from only a handful of the same types of business and leaving out a lot of other types of business. This makes it impossible for the information gathered to be representative of the entire market.

Answer:

best way to select the 100 phone calls would be to randomly select the same amount of phone numbers from each individual type of business. This would make sure that there are no bias choices and would be 100% representative of the overall business market in every single type of business. If you choose the first 100 phone numbers you are choosing from only a handful of the same types of business and leaving out a lot of other types of business. This makes it impossible for the information gathered to be representative of the entire market.

Step-by-step explanation:

hope  this helps

what does this equal​

Answers

In simplify the expression =
1.56 • 10^52 + 3.5 • 10^48

Nancy bought a mobile phone marked at 720$ at a discount of 20 percent and she had to pay 5 percent tax. If Nancy had to put 20 percent of what she had to pay including tax as a deposit, how much money did she have to pay for the deposit?

Answers

Answer:

$120.96

Step-by-step explanation:

If there is a 20% discount, she would pay 80% of the price

o.80 x $720 = $576

If there is a tax of 5%, the price she pays increases by 5%

1.05 x 576 = 604.80

If she pays 20% deposit, she would pay

0.2 x 604.80 = $120.96

plz help giving big bucks 50 points

Answers

Answer:

A

We can see that the graph is shaded to the left of -1. This means that x is all values less than (<) -1, so C and D are incorrect. Additionally, since the dot is not filled in, this means that x is not going to be equal to -1, which eliminates B. This leaves A, x < -1.

Step-by-step explanation:

urgent !!! pls help!!!

Answers

Answer:

A

Step-by-step explanation:

they share the same angle of 61, AND the vertex angle meaning there are two angles that makes them similar

yes by AA

Because angle HGF=angle STF

and angle S H T =angle GHF

Lauren took 12 hours to read a 360 page book use the unit rate to determine how many hours it will take her to read 150

HELPP PLEASEE

Answers

Answer:

360 divied by 2.4 = 150

Step-by-step explanation:

PLZ HELP ME ‼️‼️‼️‼️
How many tacos will he sell?

Answers

Answer:

Step-by-step explanation:

x + y =35

3x + 2y = 90

-3x - 3y = -105

 3x + 2y = 90

-y = -15

y = 15 tacos

x + 15 = 35

x = 20 sandwiches

20 sandwiches = x

15 tacos = y

Simplify 5 - (-7) = 5+7

Answers

Answer:

12

Step-by-step explanation:

5 + 7 = 12

just follow the rule in the equation and further simplify

that's why you should get 12

hope this helps :)

Answer:

12

Step-by-step explanation:

5 - (-7) = 5 + 7 = 12

1 point
Captionless Image
107(90.50)
101(90.50)
104+3(90.5)
104+263.50

Answers

I don’t get what your trying to ask

Please help me ASAP!​

Answers

Answer:

Range: 1 > x > 3

Step-by-step explanation:

We are given then function;

y = x³ - 6x² + 9x + 5

dy/dx = 3x² - 12x + 9

We want to find the range of values of x for which dy/dx > 0

Thus;

3x² - 12x + 9 > 0

Using quadratic formula, we have;

x = 1 and x = 3

Let's define the range;

try x = 0

3(0²) - 12(0) + 9 = 9

This is more than 0, so it is part of the solution.

Let's try x = 4

3(4²) - 12(4) + 9 = 9

This is more than 0 so it is part of the solution

Let's try x = 2

3(2²) - 12(2) + 9 = -3

This is less than 9 and so it's not part of the solution.

Thus the range of values of x for which dy/dx > 0 is;

1 > x > 3

Ryobi has a budget of $7200 for 80 chairs. They can buy leather chairs for $125 each, mesh chair for $100 each, and fabric chairs for $175 each. They want to have three times as many fabric chairs as leather chairs. How many of each chair should they buy?

Answers

Answer:

Step-by-step explanation:

Ryobi has a budget of $7200 for 80 chairs. They can buy leather chairs for $125 each, mesh chair for $100 each, and fabric chairs for $175 each. They want to have three times as many fabric chairs as leather chairs. How many of each chair should they buy?

What is the final step for 2y=x-10? Subtract 2 from each side, divide each term by 2, divide each term by -2, or add 2 to each side?

Answers

Answer:

y= x/2 - 5

Step-by-step explanation:

Answer:

Divide each term by 2

Step-by-step explanation:

You would get y = 1/2x - 5

Negative x + 6y = 16 and 8x - 6y = -2 which statements about the system of equations are true check all that are apply the x variable will be eliminating when adding the system of equations and the y variable will be limited when adding the system of equations or the sum of the system equations is negative 8X = 14 or x = 2 or y = 3 or there's only one solution to the system equations

Answers

Answer:

y variable will be elimited when adding the system of equations

x = 2 or y = 3

Step-by-step explanation:

- x + 6y = 16

8x - 6y = -2

Add both equations

(-x + 8x) + {6y + (-6y)} = 16 + (-2)

7x + 6y - 6y = 16 - 2

7x + 0 = 14

7x = 14

x = 14/7

x = 2

- x + 6y = 16

- 2 + 6y = 16

6y = 16 + 2

6y = 18

y = 18/6

y = 3

the x variable will be eliminating when adding the system of equations and the

y variable will be elimited when adding the system of equations

or the sum of the system equations is negative 8X = 14 or

x = 2 or y = 3

or there's only one solution to the system equations

4/8 is closest to which benchmark fraction

Answers

Answer:

It is closest to 1/2

Step-by-step explanation:

First you need to see if the fraction can be simplified or not. Thankfully this can, and we get 1/2.

Subtract the rational expression 1/x^2-x-6 - x/x+2.

Answers

Answer:

Step-by-step explanation:

x² - x -6 = x²  + 2x - 3x - 3*2

            =x(x + 2) - 3(x + 2)

            = (x + 2 )(x - 3)

[tex]\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\[/tex]

                      [tex]= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\[/tex]

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