Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim?

Answers

Answer 1

Answer:

Peter swam 12 hours, Pam swam 6

Step-by-step explanation:

Pam = x

Peter = y

y = 2x (this is because Peter swam twice as much)

y + x = 18 (this is because they both swam a total of 18 hours)

2x + x = 18 (substitute for y)

3x = 18

x = 6 (pam)

Now, I just need to substitute x = 6 into original equation.

y = 2(6)

y = 12 (peter)

Answer 2

Answer:

Peter- 12 hours

Pam- 6 hours

Step-by-step explanation:

You can set it up an an equation.

P = Peter

18= P + (P/2)

Solve.

36=2P+p

36=3P

P=12

Peter swam 12 hours.

Then 18-12= 6, Pam's number of hours.


Related Questions

Use the following function rule to find f(0).

f(x)= 12(9)^x


f(0) =

Answers

Answer:

12

Step-by-step explanation:

f(0)=12(9)^0

(9)^0=1

f(0)=12(1)=12

[tex]f(x) = 12 \cdot 9^x\\\\f(0) = 12 \cdot 9^0 = 12 \cdot 1 =12[/tex]


need help for this question

Answers

The first one it's the first image, and the second one is the second image.

Gina needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 1/2 feet from one end of the board. She then cuts the remaining section of board into 3 equal pieces.

Which equation can be used to determine the the length of each equal piece?

Answers

Answer:

3x+1 1/2=10

Step-by-step explanation:

k12

The solution is Option B.

The equation used to determine the length of each piece of board is given by 3x + 1 1/2 = 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total length of the board Gina has is = 10 feet

The first piece of length cut from the board is = 1 1/2 feet

So , the remaining piece of board = total length of the board Gina has - length cut from the board

And the equation is

The remaining piece of board = 10 - 1 1/2

Let the remaining piece of board be A

The remaining piece of board is cut into 3 equal pieces

Let the one remaining piece of board be = x

So , the three remaining pieces of board = 3x

Now , the equation will be

The remaining 3 pieces of board 3x =  remaining piece of board

So , substituting the values in the equation , we get

3x = 10 - 1 1/2

Adding 1 1/2 on both sides of the equation , we get

3x + 1 1/2 = 10

Therefore , the equation is 3x + 1 1/2 = 10

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what does the x mean in 24x?​

Answers

Answer:

It means 24 X x

Step-by-step explanation:

Answer:

The x next by any number is variable or value of some kind,it's not supposed to be specific because it's algebra.

solve for x
5x - 2 = 6
give your answer as an improper fraction in its simplest form

Answers

Answer:

x= 8/5

Step-by-step explanation:

add 2 to both sides

5x=8

divide both sides from 5

x=8/5

Translate the sentence into an inequality.
A number w increased by 4 is greater than or equal to - 23.

Answers

Answer:

w + 4  ≥  -23

Step-by-step explanation:

"a number w": w

"increased by 4": + 4

"is greater than or equal to":  ≥

"-23": -23

Put the parts of the equation together:

w + 4  ≥  -23

~

Answer: (x + 4) ≥ -23

2x+5y=25 3x-y=12 con metodo de sustitución​

Answers

Answer:

x = 5, y = 3

Step-by-step explanation:

2x + 5y = 25

3x - 1y = 12

we can multiply the second equation by 5 and then add it to the first equation, which will allow us to solve for 'x'; then we solve for 'y'

5(3x - 1y) = 12(5)

15x - 5y = 60

   2x + 5y = 25

+  15x - 5y = 60

17x = 85

x = 5

plug '5' in for 'x' to solve for 'y':

2(5) + 5y = 25

10 + 5y = 25

5y = 15

y = 3

I just need help simplifying

Answers

Answer:

(x - 2) / (x - 1)

Step-by-step explanation:

(x - 2)(x + 3) / (x - 1)(x + 3) <-- factor top and bottom

(x - 2) / (x - 1) <-- cancel out x + 3



Im pretty sure its
-1


Explain what the vertical line test is and how it is used.

Answers

Answer:

The vertical line test is a test to determine if a relation or its graph is a function or not. For a relation or graph to be a function, it can have at most a single y-value for each x-value. Thus, a vertical line drawn at any x-position on the graph of a function will intersect the graph at most once.

Step-by-step explanation:

(winks and runs off)

When the Johnson family lights candles at 5:00 PM, each candle is 8 inches tall. The height of each candle changes by -3/4 inch for each hour that it burns. How tall will each candle be at 11:00 PM when the Johnsons put the candles out for the night?
Each candle will be___inches tall.

Answers

From the information given, it can be deduced that the length of the candle at 11:00PM will be 3.5 inches tall.

Since the family lights candles at 5:00 PM and offs them by 11:00PM, the difference in hours will be 6 hours.

Therefore, the length of the candles at 11:00PM will be:

= 8 - (3/4 × 6)

= 8 - 4.5

= 3.5

In conclusion, the correct option is 3.5 inches tall.

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Answer: 3.5

just did it

Step-by-step explanation:

desde que empezó la cuarentena, el consumo de energía eléctrica en mi casa se ha incrementado. Es porque estamos todos en casa sin salir, usando la computadora, televisión y otros artefactos a la vez. El último recibo nos vino por julio y agosto, ya que no pudimos salir a pagar por la cuarentena, pero el recibo se extravió. Solo alcanzo a recordar que el monto total era de 150 soles y que en julio el consumo fue 20 soles menos que en agosto. ¿Cuánto fue nuestro consumo en julio y agosto? Verifica tu respuesta.

Answers

Answer:

Julio: 65 soles

Agosto: 85 soles

Step-by-step explanation:

julio: x

agosto: x + 20

x + x + 20 = 150

2x + 20 = 150

2x = 130 x = 65

julio: x = 65

agosto: x + 20 = 85

verificacion: 65 + 85 = 150

julio [65] = 20 menos que agosto [85]

Answer:

Julio: 65 soles

Agosto: 85 soles

The consumption in July was 65 soles and the consumption in August was 85 soles.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's call the amount of consumption in July "C1" and the amount of consumption in August "C2".

We know that:

C1 + C2 = 150 (the total consumption for both months)

C2 = C1 + 20 (August consumption was 20 soles more than July)

We can substitute the second equation into the first equation to get:

C1 + (C1 + 20) = 150

Simplifying this equation, we get:

2C1 + 20 = 150

Subtracting 20 from both sides, we get:

2C1 = 130

Dividing both sides by 2, we get:

C1 = 65

So the consumption in July was 65 soles.

Using the second equation, we can find the consumption in August:

C2 = C1 + 20 = 65 + 20 = 85

So the consumption in August was 85 soles.

We can check that these values are correct by verifying that they add up to the total consumption of 150 soles:

65 + 85 = 150

Therefore,

The consumption in July was 65 soles and the consumption in August was 85 soles.

Learn more about equations here:

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The complete question:

Since the quarantine began, the consumption of electrical energy in my house has increased. It is because we are all at home without going out, using the computer, television and other devices at the same time. The last receipt came to us in July and August, since we could not go out to pay for the quarantine, but the receipt was lost. I can only remember that the total amount was 150 soles and that in July consumption was 20 soles less than in August. How much was our consumption in July and August? Check your answer.

can someone help me with this sum please

Answers

Answer:

See below...

Step-by-step explanation:

v * 7x = 7vx

8c * 6e = 48ec

3a * 4a = 12a^2

8xw * 2w = 18xw^2

8mn * 3m^2n = 24m^3n^2

4acx * 5ax^2 * 6c = 120a^2c^2x^3

4m * 4n = 16mn

3x * 4x = 12x^2

5w * 3wx = 15w^2x

6c * 5ac^2 = 30ac^3

9wx^2 * 6w^2x = 54w^3x^3

9a^2c * 4ac^2e^3 = 36a^3c^3e^3

Find the value for each variable.

Answers

Step-by-step explanation:

3x=21

x=21/3 = 7.

hope this helps.

in the diagram, angle ACB=65
what does angle BCD=

-90

-180

-65

-115

Answers

Answer:

65 is the answer.........

Answer:

the answer would be 180-65 so it is 115

Find the slope of the line passing through the points (5,9) and (5, - 7)​

Answers

Answer:

9/11

Step-by-step explanation:

I need help pleaseeeeee

Answers

ok for the first one says

f(x)= 2 which is our Y, now we see when y is 2 our x = 1

f(x)=0 so when y= 0 , x = 2

f(1) = 2

5(2x + 1) = 50
Help me plsss

Answers

Answer:

x=9

Step-by-step explanation:

shape it helps

byeeeeee

4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.​

Answers

Answer:get scammed 4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.

The ratio of the number of T-shirts in size M to the number of T-shirts in

size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.​

Step-by-step explanation:

how do you solve this I'm on a time crunch

Answers

Answer:

19.59≈20

Step-by-step explanation:

Have a nice day

Using Pythagoras Theorem we can find the 3rd side of a right angled triangle.

Steps are there in the image I attached.

Hope it helps you...

Please mark as Brainlliest!!!

solve for x:
4x-14=-2x+24

Answers

Answer: 6 1/3

Step-by-step explanation:

4x-14 = -2x+24

4x = -2x+24 + 14  [Add 14 to both sides]

4x + 2x = 24 + 14  [Add 2x to both sides]

6x = 38                 {Combine like terms]

 x  = (19/3) or 6 1/3

2b - 37 = 152 - 5
Know how to do it but keep getting the wrong answer work this out for me

Answers

☆Answer :

2b - 37 = 152 - 5

2b - 37 = 147

2b = 147 + 37

2b = 184

b = 92

Could you please help with this

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Solve for x

1−6x = −17

Answers

Answer:

x = 3

Step-by-step explanation:

1 - 6x = - 17 ( subtract 1 from both sides )

- 6x = - 18 ( divide both sides by - 6 )

x = 3

The rectangle below has an area of 55x^6+22x^455x 6 +22x 4 55, x, start superscript, 6, end superscript, plus, 22, x, start superscript, 4, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 55x^655x 6 55, x, start superscript, 6, end superscript and 22x^422x 4 22, x, start superscript, 4, end superscript. What is the length and width of the rectangle?

Answers

Answer:  I had difficulty reading the problem, so please check my interpretation.

Width is 11x^4 and Length is 5x^2 + 2

Step-by-step explanation:

Area of rectangle is 55x^6+22x^4Width is equal to the GCF of 55x^6 and  22x^4

The greatest common factor of 55x^6 and  22x^4 is 11x^4.  So the width is 11x^4.

Length = (55x^6+22x^4)/(11x^4)

Length = 5x^2 + 2

a square lot has a side of 8 5/8 meters,what is the area of the lot?

Answers

34.5 meters or 69/2 meters

PLZ help I need to answer quickly!​

Answers

Answer:

4.2

Step-by-step explanation:

All sides are proportional, so choose a pair and find the proportion

Ex: AB and JK = 7/5=1.4

so each side is multiplied by 1.4 to get the larger figure

So 3*1.4=4.2

you lose one quarter, two dimes, and two nickels.

a. Write the amount as a decimal.

The amount as a decimal is ____.



b. Write the amount as a fraction in the simplest form.

The amount as a fraction is ____.​

Answers

Answer: .55

55/100

Step-by-step explanation:

Quarter=25
Dimes=20
Nickels=10

A. 55 cents

B. 60/100

-5x - 25= 78; her work is shown below identify the error and where it was made

Answers

[tex]-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5[/tex]

volume of a cube is 343 cm cube . find the edge​

Answers

Answer:

Edge: 7 cm

Step-by-step explanation:

Cubic root of 343 = 7

Please help, thanks. NO LINKS!

Answers

Answer:

c

Step-by-step explanation:

Lets take a look at the line. We see that the point is between 5 and 6, which means A is wrong. Now lets just count the number of lines between the two points, where 5 is starting at 5 0/6 and 6 is 5 6/6. So as we go, we find that the point B is 4/6 of the way to 6. This means that the best answer is B) 5 4/6.

I hope this helps! :)

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