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

Step-by-step explanation:

Correct answer:

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

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.

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

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!

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

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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 :)

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

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

Answer:

633,870,000

Step-by-step explanation:

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

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

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

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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

Answer:

The answer is 3

Step-by-step explanation:

I am sure.

Answer: i think it is 3

Step-by-step explanation:

Answer:

15:8=15/8

Step-by-step explanation:

45:24=45/24

15/8=15:8

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.

Answer:

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.

9514 1404 393

Answer:

  A congruent

Step-by-step explanation:

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

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

Answer:

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

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.

" 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.

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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.

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!!!

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

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.

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.

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Answer:

1 11/12 cups of water

Answer:

3y=1 i hope it helps!

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y=3x

Answer:

1 : 0.44.

Step-by-step explanation:

93 : 41

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

= 1 : 0.44.