Keenan is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 118-yard warmup and then swim laps in a lane that is 41 yards long. If Keenan swims at the indoor pool at his gym, he will complete a 154-yard warmup, plus a main set that consists of 32 yards per lap. If Keenan swims the correct number of laps, he can complete the same distance in either pool. How many laps will that take? How long will Keenan's workout be in total?

Answers

Answer 1

9514 1404 393

Answer:

4 laps282 yards

Step-by-step explanation:

For n laps, the length Keenan swims in the rec center pool is ...

  118 + 41n

and the length he swims in the gym pool is ...

  154 +32n

These are equal length for equal numbers of laps, so we have ...

  118 + 41n = 154 + 32n

  9n = 36 . . . . . . . . . . . . . subtract 32n+118

  n = 4 . . . . . . . . divide by 9

Then the length of Keenan's workout is ...

  118 +41(4) = 282 . . . . yards

It will take 4 laps to make the workout total 282 yards in each pool.


Related Questions

Jack work after school. Each day he is paid a set amount, plus an hourly wage.

Answers

Answer:

What's the question? :)

Step-by-step explanation:

Use the Commutative Property to write an expression equivalent to –5d + 12.

Answers

Step-by-step explanation:

[tex]\huge\bold\purple{ equivalent\: of \: -10d+24 }[/tex]

Answer:

767657

Step-by-step explanation:

How to solve 52+ 58+ q=180 for q.

Answers

Answer:

70

Step-by-step explanation:

180 - 52 - 58 = q

q = 70

hope this helps...

Hey there! [tex]\bold{52+58+q=180}\\\bold{COMBINE\ your\ LIKE\ TERMS}\\\bold{52+15=110}\\ \bold{New\ equation: 110+q=180}\\\bold{SUBTRACT\ 110\ to\ BOTH\ SIDES}\\\bold{q+110-110=180-110}\\\bold{Cancel\ out: 110-110\ because\ that\ gives\ 0}\\\bold{Keep: 180-110\ because\ it\ helps\ us\ solve\ for\ q}\\\bold{TEMPORARY \ equation: q = 180-110}\\\bold{Solve\ above\ \uparrow \ and\ you\ have\ q}\\\\\\\\\\\boxed{\boxed{\bold{Answer: q=70}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]

Solve the system of equations by substitution X=-4y X+5y=2​

Answers

Answer:

use -4y for x in the second equation

-4 y + 5 y = 2

so

y = 2

then x = -4(2) = -8

(-8 , 2)

Step-by-step explanation:

Answer:

X=-8, y=2

Step-by-step explanation:

3(5 +4) + 4 – 2 •4
I need help please!

Answers

Answer:

23

Step-by-step explanation:

PEMDAS states that you must do parenthesis first:

(5+4)=(9)

Then Multiplication:

3(9)=27

2*4=8

Then addition and subtraction right to left:

27+4-8

31-8

23

Myra can fill 18 glasses with 2 containers of tea. How many glasses can she fill with 3 containers?

Answers

I think the answer would be 24 glasses

Answer:

one container has 18/2 = 9 glasses so 3 will have (9)(3) = 27 glasses

Step-by-step explanation:

i giveeeeeeeeeeee brainlillstttttttttttt

Answers

Answer:

after reflection over y axis

a 9,7

b 9,6

c 0,6

d 0,7

Answer:

have a good day

Step-by-step explanation:

i support u

(X)=x3-22x2+157x-360

Answers

Answer:

Step-by-step explanation:

x1 = x2 = 6

x3 = 10

this is it im pretty sure

At Grocery Mart, tomatoes are $2.75 per pound, or you can buy a 5

pound box for $11.

a) What is the unit price for the first tomato option?

b) What is the unit price for the second tomato option?

c) Based on price, which is the better value option?

HELP ME PLEASE ITS TIMEDDDD

Answers

Answer:

a) $2.75

b) $2.2

c) Second tomato option is better value option.

Step-by-step explanation:

First option to buy tomatoes = $2.75 per pound

Second option to buy tomatoes:

To buy a box which is a 5 pound box and the price is $11.

To find:

a) Unit price for the first tomato option.

b) Unit price for the second tomato option.

c) Better value option on the basis of price.

Solution:

Let the consider the unit here to be a pound.

So, we will find the price of tomato per pound to find the unit price of tomato.

a) Unit price of the first tomato option is : $2.75 per pound

b) Unit price of the second tomato option:

Price for 5 pounds = $11

Dividing both sides with 5 to find the price of 1 pound or unit price.

Price for [tex]\frac{5}{5}[/tex] = 1 pound = [tex]\frac{\$11}5 = \$2.2[/tex]

c) To find the better value option, we can compare the unit prices of the two tomato options.

Here, we have the two tomato options with unit prices as:

$2.75 and $2.2

Second tomato option has a lower unit price, therefore, second option is better value option on the basis of price.

Use the drop-down menus to complete the statements to match the information shown by the graph

Answers

Answer:

Produce per pound costs  less than  meat per pound because the  slope  of the graph for meat is greater than  that of the graph for produce.

The  slope  of the graph tells you the unit rate in  dollars per pound .

find the value of x ?!??

Answers

Answer:

x=4

Step-by-step explanation:

Pentagon's sum of interior angle is 540°

let's add all the given degrees

100+20x+16x+16+140+160-5x=540

Collect like terms

100+16+140+160+20x+16x-5x=540

416+31x=540

31x=540-416

31x=124

x=124/31

x=4```

Norman has $15 in his wallet which is 20% of the total amount of money he owns. How much
money does Norman have in total? (Create a linear model if needed.)

Answers

15%= 20% of total amount

20% x 5 = 100% 15 x 5 = 75

Answer: $75 is the total money he has.

I need help with these two questions ASAP thank you.

Answers

Answer:

There isn't a clear answer

Step-by-step explanation:

Which of the following is equal to 4/7 - 4/7

. 0
. 1
. Undefined
. 1/7

Answers

Answer:

0 is the answer

Step-by-step explanation:

4-4=0

7-7=0

What is the tangent ratio for D

Answers

Tan =perpendicular/ base
= 4/7

if 1ninch represents 22 miles on a map then how many miles will represent 2240 miles

Answers

Answer:

Step-by-step explanation:

you have to divide

Answer:

101.8181...

Step-by-step explanation:

I divided heres how.

1 inch equals 22 miles

2240 miles

2240/22=101.8181...

Hope this helps you.

The graph shows the cereal consumption by Daniel's family. Which is the unit rate of
the proportional relationship shown in the graph?

Answers

Answer:1/5

Step-by-step explanation:

It’s goes 1/5 per time

The variables y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8? Enter your answer as a decimal in the box. y =

Answers

Answer:

the answer is 19.2

S641591 is a hacker don’t trust em

Answers

Answer:

welp ok

Step-by-step explanation:

Answer:

ok done

Step-by-step explanation:

Peter is typing an essay for his science class. The essay needs to be 8,100 words long. Peter can type 25 words per minute. If Peter has 600 words typed so​ far, how many hours will it take for Peter to finish typing the​ essay

Answers

Answer:

5 hours or 300 minutes

Step-by-step explanation:

If Peter has already written 600 words, he has 7,500 words left to write. If he can write 25 words per minute, it will take 300 minutes for him to finish because 7,500/25=300. 300 minutes can be converted to 5 hours.

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
769 691 699 730 711 765 702 718 719 712 768 688 757
695 768 735 709 758 708 693 736 700 687 772 715
a. Find the mean, median and mode of this information. (Round your answers to 2 decimal places.)
b. What are the range and standard deviation? (Round your answers to 2 decimal places.)
c. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations. (Round your answers to 2 decimal places.)

Answers

Answer:

A.

mean = 724.2

Median = 715

Mode = 768

B.

Range = 85

Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

C.

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

Find the distance between the points (3,5) and (12,2).
?

Answers

Answer:

9.48

Step-by-step explanation:

Answer:

3√10 or about 9.49 units.

Step-by-step explanation:

To find the distance between any two points, we may use the distance formula given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (3, 5) be (x₁, y₁) and (12, 2) be (x₂. y₂). By substitution:

[tex]d=\sqrt{(12-3)^2+(2-5)^2[/tex]

Evaluate:

[tex]d=\sqrt{(9^2)+(-3)^2[/tex]

Square:

[tex]d=\sqrt{81+9}[/tex]

Simplify:

[tex]d=\sqrt{90}=\sqrt{9\cdot10}=\sqrt{9}\cdot\sqrt{10}=3\sqrt{10}\approx9.49[/tex]

The distance between (3, 5) an (12, 2) is 3√10 or about 9.49 units.

the equation of function is y=4x+5 what is the value of y when x=3?

Answers

Answer:

y=17

Step-by-step explanation:

y=4x+5

change x to 3

y=4(3)+5

y=12+5

y=17

The required value of y is 17 when x=3 for the given equation y = 4x + 5.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The equation of function is given in the question, as follows:

y = 4x + 5

We have to determine the value of y when x=3 for the above equation.

As per the question, we have

y = 4x + 5

Substitute the value of x = 3 in the above equation,

y = 4(3) + 5

y = 12 + 5

y = 17

Thus, the required value of y is 17.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ6

what is the answer to this question

Answers

Answer:

D is the answer

Step-by-step explanation:

Which of the following methods can be used to find the derivative of y = arcsin x with respect to z ?
|. Use the quotient rule to differentiate
II. Use the chain rule to differentiate sin(arcsin x) = 2.
III. Use implicit differentiation to differentiate the function y in the relation sin y = x with respect to z.
A) I only
B) Ill only
C) II and III only
D) I, II, and III

Answers

Answer:

B) Ill only

Step-by-step explanation:

This is because y = arcsin x can be re-written as sin y = x, We then differentiate sin y = x implicitly with respect to z to obtain

d(siny)/dz = dx/dz

(cosy)dy/dz = dx/dz

dy/dz = (1/cosy)dx/dz

Question 1
If the diameter of a circle is 5 meters, what is the circle's radius, in meters?

Answers

Answer:

2.5

Step-by-step explanation:

The radius is half of the diameter. 5 / 2 = 2.5

Answer:

2.5

Step-by-step explanation:

radius = Diameter ÷ 2

We plug the  diameter value that we know

radius = 5 ÷ 2

Then Solve

5 ÷ 2 = 2.5

Done!

Remember diameter divided by two = the radius

Why? Because one radius is equivalent to 1 half. So we need two halves to form one full.

The diameter is the size of the full length which is why it is divided by two in order to form two halves!

Hope This Helps

The school store sells yellow pencils, green pencils and red pencils. There are ten pencils of each color in a container. Tracy picks one pencil
from the container without looking.
What is the probability that she picks a green pencil?

A. 1/30
B. 1/10
C. 1/3
D. 3/3
E. 3/1

Answers

Answer:

Step-by-step explanation:

Total pencils = 10 + 10 + 10 = 30 pencils

Option A 1/30 is the correct answer

Aubrey buys 2 souvenirs during each day of vacation. Write an equation that shows the relationship between the days of vacation x and the number of souvenirs bought y.

Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

2X = Y

Step-by-step explanation:

To determine the equation that will allow to establish the amount of souvenirs bought by Aubrey (Y), taking into account that for each day of vacation (X) buys 2 souvenirs, the following must be taken into account:

The number of days (X) must be multiplied by 2. Thus, if you buy 2 souvenirs per day and your vacation lasts 4 days, you will have bought 8 souvenirs (4 x 2). Thus, the value of Y is equal to 2X, that is:

2X = Y

What is Express the difference in simplest form. 3 1/2 - 1 7/8

Answers

Answer:

2-6

Step-by-step explanation:

hey guys i need help plz will give brainlist

Answers

Step-by-step explanation:

Effective resistance in the 30Ω and 40Ω parallel circuit = 1 / (1/30 + 1/40) = 120/7 Ω.

20Ω + 10Ω = 30Ω

Effective resistance in the 50Ω and (20Ω + 10Ω) parallel circuit = 1 / (1/50 + 1/30) = 75/4 Ω.

Now we can add the resistances up:

Effective resistance for circuit

= 120/7 Ω + 75/4 Ω = 1005/28 Ω.

Hence I = V / R

= 9.0V / (1005/28 Ω) = 0.25A. (2s.f.)

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