1) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks.
)) Erin is training for a triathlon and needs to swim a certain distance for today's workout.
If she swims at the rec center pool, she will complete a 239-meter warmup and then swim
laps in a lane that is 32 meters long. If Erin swims at the indoor pool at her gym, she will
complete a 223-meter warmup, plus a main set that consists of 33 meters per lap. If Erin
swims the correct number of laps, she can complete the same distance in either pool. How
many laps will that take? How long will Erin's workout be in total?
Erin swims
meters
laps at either pool, she can complete a total workout of

Answers

Answer 1
this situation can be represented by

y = 33x + 223

y = 32x + 239

I still like substitution, so let’s plug in 33x + 223 into the second equation

33x + 223 = 32x + 239

Move the terms into appropriate sides

33x - 32x = 239 - 223

Combine like terms

x = 16

Then plug in x for any equation

y = 32(16) + 239

y = 751

Erin will have to swim 16 laps for a total of 751 meters

Related Questions

Will mark as brain list if answered correctly

Answers

Answer:

The answer is 3

Step-by-step explanation:

I am sure.

Answer: i think it is 3

Step-by-step explanation:

Please can someone help me with this​

Answers

Answer:

1 : 0.44.

Step-by-step explanation:

93 : 41

= (93/93) : (41/93)

= 1 : 0.44.

In a sequence of four numbers, the difference between each number is 7.
The sum of the four numbers is 6.
What are the numbers in the sequence?
You must show all your working.

Answers

Answer:

Step-by-step explanation:

Let x be the lowest number of the four

x  + (x + 7) + (x + 14) + (x + 21) = 6

4x + 42 = 6

4x = -36

x = -9

-9 + 7 = - 2

-9 + 14 = 5

-9 + 21 = 12

-9. -2, 5, 12

Going through (-2,2) and (2,-2) Write the equation of lines with the following through

Answers

Answer:

Step-by-step explanation:

Seems like your question might be missing some parts.

If Not, Then

a line through the given points would have the form

y = mx + b

where m is the slope and b the y intercept

m = Δy/Δx = (-2 - 2) / (2 - (-2)) = -1

y = (-1)x + b

y = -x + b

now plugging in either point to find b

2 = -(-2) + b

b = 0

y = -x + 0

y = -x

Answer:

Step-by-step explanation:

(-2 - 2)/(2 + 2) = -4/4= -1

y - 2 = -(x + 2)

y - 2 = -x - 2

y = -x

If Noah has 527,300,000 and Margho has 106,570,000. How much do they have in all?









Can someone help me pls?

Answers

Answer:

633,870,000

Step-by-step explanation:

Add it together either on a calculator of a sheet of paper.

the following points lies in the solution set of the system of inequalities shown graphed below?
A. (1, 0)
B. (2, 2)
C. (-4, 0)
D. (2, -4)

Answers

Option C would be the correct answer :)

What is the slope of the line? The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. O-3 O- 3 Prism vs. Pyramid 1 10 M 9 8 3 Prism Volume (cubic units) 6 5 3 1 2 3 4 5 6 7 8 9 10 Duramid Valuma louhin rinite! Save and Exit Nect Submit Mark this and retum​

Answers

Answer:

3

Step-by-step explanation:

y=3x

Which inequality is true when the value of R is 18? I'ma shower the answers i can choose in the picture ​

Answers

Answer:

See below:

Step-by-step explanation:

Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.

So our equations to test for are:

[tex]-r-3>-6\\-r+3<6\\r+3<6\\-r+3>6[/tex]

We can input 18 as r and then we see the following are correct:

1. No, as a -21 is not greater than -6

2. Yes, as -15 is less than 6.

3. No, as 21 is not greater than 6

4. No, as -15 is not greater than 6.

Cheers!

On the unit circle, where 0 less-than pi, when is tangent theta undefined?
Theta = pi and Theta = 2 pi
sine theta = cosine theta
Pi = StartFraction pi Over 2 EndFraction and Pi = StartFraction 3 pi Over 2 EndFraction
sin theta = StartFraction 1 Over cosine theta EndFraction

Answers

Answer:

Option 3

Step-by-step explanation:

As tanθ = sinθ/cosθ, tanθ will have a problem when cosθ goes to zero.

cosθ is at 0 when θ = π/2 and at 3π/2

Answer:

c

Step-by-step explanation:

c

On a map, 1 inch equal 11.7 miles. If two cities are 2.5 inches apart on the map, how far are they actually apart?

Answers

Answer:

29.25 miles

Step-by-step explanation:

We can use a ratio to solve

1 inch            2.5 inches

------------  = ----------------

11.7 miles         x miles

Using cross products

1 * x = 11.7 * 2.5

x =29.25

Calculations with Percent - Item 35698
Question 7
Asha bought 60 fruit baskets.
25% of the fruit baskets have 12 pieces of fruit in each basket.
The remaining 75% of the baskets have 15 pieces of fruits in each basket.
Complete the model.
25%
75%
Number of baskets with 12 piece of
fruit:
Number of baskets with 15 pieces of fruit:
60 fruit baskets

Answers

The number of baskets with 12 piece of  fruit is 15.

The number of baskets with 15 pieces of fruit is 45.

Percentage is the fraction out of a number expressed as a number out of hundred. The sign used to represent percentages is %.  

In order to determine the number of baskets that have 12 pieces of fruits and 15  pieces of fruits, multiply the given percentages by the total number of fruit baskets.

Number of baskets with 12 piece of  fruit: 25% x 60 = 0.25 x 60 = 15

Number of baskets with 15 pieces of fruit: 75% x 60 = 0.75 x 60 = 45

To learn more about percentages, please check: https://brainly.com/question/92258

Juan wants to buy a video game for $63. He saves $12 every Friday. Part A. Create an equation to represent Juan's total savings, y, in dollars, after x Fridays. y​

Answers

Answer:

Answer in explanation.

Step-by-step explanation:

An equation to represent Juan's total savings y, in dollars, after x Fridays will be;

⇒ y = 12x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Juan wants to buy a video game for $63.

And, He saves $12 every Friday.

Now,

Let total dollars after x Friday = y

And, He saves $12 every Friday.

So, We can formulate;

⇒ Total money (y) = 12x

⇒ y = 12x

Thus, An equation to represent Juan's total savings y, in dollars, after x Fridays will be;

⇒ y = 12x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger sold than burgers. How many hamburgers were sold on Saturday?

Answers

9514 1404 393

Answer:

  375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

  h +(h +63) = 813

  2h = 813 -63 = 750

  h = 750/2 = 375

375 hamburgers were sold on Saturday.

_____

Additional comment

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

Suppose Set A contains 19 elements and Set B contains 69 elements. If the total number elements
in either Set A or Set B is 75, how many elements do Sets A and B have in common?

Answers

B u A = 48

B = 45

The part of set B not included in A is B - A∩B  = 45 - 7 = 38

Since B u A = 48,  A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).

------

Alternatively, the inclusion-exclusion principle may be used:   A  +  B  - (A ∩ B) = A u B  

  A + 45 - 7 = 48

  A  = 48 - 45 + 7  

   A = 10

NOTE that I'm using A and B  to indicate the number of elements in each set, respectively.

More formally, one would write |A|  and |B| to indicate the cardinality (number of elements) of the set.

i need help! i will be giving brainliest if you actually show the work and dont troll :)

Answers

Answer:

you do 215 times $0.25 you get $53.75 you take that away from $3272.30 you get $3218.55 then you divide that by 215 you get $14.97 so the answer is she makes $14.97 on one pair of earrings.

Step-by-step explanation:

Plz mark brainliest

Write the ratio as a ratio of whole numbers using fractional notation.
45 days to 24 days
The ratio of 45 days to 24 days can be written in fractional form as
(Type the ratio as a simplified fraction.)

Answers

Answer:

15:8=15/8

Step-by-step explanation:

45:24=45/24

15/8=15:8

I need help with a pre calc/ law of sines question

Answers

Answer:

The c will equal 2.56

Step-by-step explanation:

The A will equal 42.48 degrees

The B will equal 96.92 degrees

Please help! Cant figure this one out!

Answers

Answer:

20.5

Step-by-step explanation:

Given that shapes are similar:

45 = 2x + 4 subtract 4 from both sides

41 = 2x divide both sides by 2

20.5 = x

A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun measured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.

Answers

Answer:

radius: 1460 micircumference: 9174 mi

Step-by-step explanation:

If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...

  82.6°/360° = 413/1800 ≈ 0.229444...(repeating)

The relation between the given distance and the circumference is ...

  0.294444C = 2105 mi

  C = 2105 mi/0.294444 ≈ 9174 mi

The radius of the spherical planet is this divided by 2π:

  r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi

The radius of the planet is about 1460 miles; the circumference is about 9174 miles.

Alvin’s family used 18.5 gallons of gas to drive 518 miles. How many miles did they drive per gallon of gas?

Please help me

Answers

Answer:

the answer is 1.2

Step-by-step explanation:

The number of miles Alvin’s family drive per gallon of gas is 28 miles.

Given that, Alvin’s family used 18.5 gallons of gas to drive 518 miles.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of miles drive per gallon of gas = Total number of miles ÷ Total number of gallons

= 518 ÷ 18.5

= 28 miles

Hence, the number of miles Alvin’s family drive per gallon of gas is 28 miles.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

How many numbers are prime between 40 and 50?

Answers

Step-by-step explanation:

Correct answer:

(The primes between 40 and 50 are 41, 43, and 47 - three.

2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?

Answers

Answer:

1 11/12 cups of water

help with this i dont understand please

Answers

Answer:

see explanation

Step-by-step explanation:

The rule explains what happens to the input value in order to obtain the output.

input = 4 , then divide by 4

4 ÷ 4 = 1 , then add 2

1 + 2 = 3

---------------------------------------

input = 6 , divide by 4

6 ÷ 4 = 1,5 . now add 2

1.5 + 2 = 3.5

-----------------------------------------

input = 8 , divide by 4

8 ÷ 4 = 2 , now add 2

2 + 2 = 4

-------------------------------------------

input = 10 , divide by 4

10 ÷ 4 = 2.5 , now add 2

2.5 + 2 = 4.5

--------------------------------------------

input  |  0 | 2 |   4 |  6 |  8 | 10

------------------------------------------

output| 0 | 2.5 | 3 | 3.5 | 4 | 4.5        

Answer:

Ok, Dear This is the most easy question.

Focus with me , Ill tell you the answer and explain it

First answer :3

Secound answer:3.5

Third answer:4

Last one :4.5

Step-by-step explanation:

So Baisicly,

First answer : We Devide 4 by 4 so its equal to 1 and then we add 2 then its equal to 3.

Secound answer: We divide 6 by 4 so it becomes 1.5 and then add 2 so itll become 3.5.

Thid answer: We divide 4 by 8 and so it becomes equal to 2 and then we add 2 so its 4.

Last one: We divide 4 by 10 and so it becomes 2.5 and then we add 2 so itll become 4.5.

Which of the following is a solution to the system of two equations y = 3x – 1 and y = 2x + 3?
please

Answers

point form: (4,11)
equation form: x=4 y=11

slope=1/3 y intercept=-1

Answers

Answer:

3y=1 i hope it helps!

Step-by-step explanation:

Two polygons are similar. The corresponding angles of the polygons are- A congruent B proportional C regular D similar​

Answers

9514 1404 393

Answer:

  A congruent

Step-by-step explanation:

In similar polygons, corresponding sides are proportional, and corresponding angles are congruent.

The homeowners association for a residential community is selecting a committee of 7. There are 24 candidates for positions. How many possible committees can be formed?

Answers

Answer: 168

Step-by-step explanation:

Times the two numbers together to get the combinations.

24x7=168

Possible number of committees formed is equals to 3.

What is number?

" Number is defined as the arithmetic value which represents the count of any given quantity."

According to the question,

Total number of candidates for positions = 24

Number of candidate selected  for 1 committee = 7

Total possible number of committees = [tex]\frac{24}{7}[/tex]

                                                               = 3.428

                                                               ≈ 3 committees (approximate)

As one committee is formed by 7 candidates , it can not be in decimals or fractions.

Hence, possible number of committees formed is equals to 3.

Learn more about number here

https://brainly.com/question/17429689

#SPJ3

Hey everyone! I need some help with this one.

What is the range of this relation? ​

Answers

Answer:

ok so first lets look for the highest y value which is 4

the lowest one is -4

so -4<x>4

The answer is c

Hope This Helps!!!

2. In the formula I = P x r x t, what does r stand for? a. Rate: the percent that interest is paid annually as a decimal b. Ratio: the size of the interest interval compared to time c. Return: how much money you end up earning d. Reserves: how much money you have in the investment

Answers

Answer:

I will answer this soon I don't remember

Answer:

A. Rate: the percent that interest is paid annually as a decimal

Step-by-step explanation:

Edge 2022 got the answer right :)

How do you know whether two quantities x and y are proportional?

Answers

Answer:

I did this question for my little brother. and the answer is A. I think.

Other Questions
Total revenue minus the total _____ and total _____ costs of production is economic profit. Multiple choice question. explicit; accounting explicit; modified implicit; explicit implicit; modified Can someone help me with this please what details in the photo catch tour attention the most ? what pops out ? A psychologically safety ________ represents a shared belief among team members that it is safe to engage in risky behaviors, such as questioning current practices without retribution or negative consequences. Write the balanced molecular chemical equation for the reaction in aqueous solution for ammonium sulfate and iron(II) chloride. If no reaction occurs, simply write only NR. 1 2 3 4 5 6 7 8 9 0 + ( ) (s) (l) (g) (aq) Ir N Fe O Am Cl NR S H Ch Reset Find the equation of the tangent line at the given point on the following curve.x + y = 25, (-4,-3)The equation of the tangent line to the point (-4,-3) is y= Soldium and sulphur compound form formula With a coupon, you can get a pair of shoes that normally costs $84 for only $71.40. Whatpercentage was the discount? Which of the following is the difference of two squares4g-16h16a^2-4y^22x^2-4y^225m^3+100n^2 Bettina is suffering from major depressive disorder. Compared with people who are not depressed, Bettina is more likely to: What type of energy transfer causes a sunburn? Radiation, because particles of hot air move in space Radiation, because electromagnetic waves transfer heat Conduction, because hot air comes in contact with the skin Conduction, because invisible light carries heat from the sunPacificaly what is the right answer A? B? C? or D? which one A 0.14-MIN baseball is dropped from rest. It has a momentum of 0.90 kgm/skgm/s just before it lands on the ground.For what amount of time was the ball in the air? 3 2/9 x -1 5/7 make an improper fraction, multiply, then make it a simplified mixed number. 4. What are deductions?A.)the amount of money added to the gross pay for commission-based salesB.)the amount of money included with tipsC.)the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefitsD.)incentives employees earn for the amount sold how long can you keep a turkey in the fridge after it thaws Can someone help me with this the side are the answers btw Work out the mean for the data set below:3.4, 5.2, 4.7, 3.5, 0.5Give your answer as a decimal. plz help5. Carlos y Dana_____ (estar) hablando ayer. ( * an action in the process of happening) *2 pointsestnestabanestbamosestuvieron6. Ayer, los estudiantes ________ (estudiar) mucho para el examen de historia. *2 pointsestudianestudiaronestudiamosestudiaban7. Ellos eran muy amigos cuando (estar) en 5to grado. (*used to) *2 pointsestabamosestabanestuvieron8. Yo ______ ( vivir) en Hawaii. (*used to) *2 pointsvivavivvivo9. Mis hermanos _______ (jugar) futbol. ( *used to) *2 pointsjueganjugaronjugaban10. A mi prima_______ no le (gustar) comer vegetales. ( *used to not like) *2 pointsgustagustabagustaban11. Ella canta ( maravilloso) bien. *2 pointsmaravillosomentemaravillosamente12. Nosotros celebramos (alegre) *2 pointsalegrementeallegremente13 . Sincero *2 pointsSinceromenteSinceramente14 . Ella habla el italiano (perfecto) bien. *2 pointsperfectomenteperfectamente15. Fabuloso *2 pointsfabulosamentefabulosomente16 . Translate: She bought a new house. *2 pointsElla compra una casa nueva.Ella compr una casa nueva.17 . Translate: They used to always dance at the parties. *2 pointsEllos siempre bailaron en las fiestas.Ellos siempre bailaban en las fiestas.Ellos siempre bailan en las fiestas.18 . Choose the correct conjugation in the Imperfect Tense. It must be in the correct order as per the charts. *2 pointsbailaba, bailamos, bailo, bailabas, bailaronbailaba, bailabas, bailaba, bailabamos, bailabanbailaba, bailabas, bailaba, bailbamos, bailaban19 . Choose the correct conjugation in the PreteriteTense. It must be in the correct order as per the charts. *2 pointsCant, cantaste, cant, cantmos, cantaroncantaba, cantabas, cantaba, cantabamos, cantaronCant, cantaste, cant, cantamos, cantaron20 . Did you create the index card with the conjugation charts? *2 pointsYes. I completed the conjugation charts.No. I did not create an index card with conjugation charts. Help help help help help the suffix -ose means what