Mathematics High School

The number of swimmers at a city pool on Monday was twice the number who were there on Tuesday. The number at the pool on Wednesday was 11 fewer than 3 times the number on Tuesday. The total swimmers for all 3 days were 625. How many swimmers were at the pool each day? Define a variable, write an equation, and solve the problem.

Answers

Answer 1

Answer:

102 1/3 swimmers

Step-by-step explanation:

Let

Number of swimmers on Tuesday = x

Number of swimmers on Monday = 2x

Number of swimmers on Wednesday = 3x - 11

Total swimmers for all 3 days = 625

x + 2x + (3x - 11) = 625

3x + 3x - 11 = 625

6x = 625 - 11

6x = 614

x = 614 / 6

= 102 2/6

x = 102 1/3 swimmers

Number of swimmers on Tuesday = x = 102 1/3 swimmers

Number of swimmers on Monday = 2x

= 2(102 1/3)

= 204 2/3

Number of swimmers on Wednesday = 3x - 11

=3(102 1/3) - 11

= 307 - 11

= 296

Related Questions

The least common denominator of[tex]\frac{1}{6} and \frac{5}{12}[/tex] is 12.

TrueFalse

Answers

True 1/6 can become 2/12 by multiplying it by two so the common denominator would be 12. 2/12 and 5/12 have a common denominator of 12

Which values could be the values of x and y?

Answers

Answer:

1 3/4, 9 1/4

Step-by-step explanation:

continue the pattern

What that person said^^^^

-5+12+6x=7x-10+53+3x

Answers

Answer:

x=-9

Step-by-step explanation:

6. A ticket to a concert costs $28,55. There is a 5% transaction fee for purchasing the ticket. What is
the transaction fee? What is the total cost of the ticket?

Answers

Answer: 29.98 dollars

20+20 helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

20+20=40 C:

I got 24 miles for each kind of gas in my car which one of the following is a equivalent radio of miles to gallons.
A. 48 to 2
B. 2 to 48
C. 1 to 24
D. 3 to 240

Answers

I believe that the answer is B

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse functions

Answers

Answer:

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Step-by-step explanation:

Given

[tex]a(d) = 5d - 3[/tex]

Solving (a): Write as inverse function

[tex]a(d) = 5d - 3[/tex]

Represent a(d) as y

[tex]y = 5d - 3[/tex]

Swap positions of d and y

[tex]d = 5y - 3[/tex]

Make y the subject

[tex]5y = d + 3[/tex]

[tex]y = \frac{d}{5} + \frac{3}{5}[/tex]

Replace y with a'(d)

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

Prove that a(d) and a'(d) are inverse functions

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]

To do this, we prove that:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Solving for [tex]a(a'(d))[/tex]

[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]

Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in [tex]a(d) = 5d - 3[/tex]

[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]

[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]

[tex]a(a'(d)) = d + 3 - 3[/tex]

[tex]a(a'(d)) = d[/tex]

Solving for: [tex]a'(a(d))[/tex]

[tex]a'(a(d)) = a'(5d - 3)[/tex]

Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]

Add fractions

[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d}{5}[/tex]

[tex]a'(a(d)) = d[/tex]

Hence:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

2(4 + 7) − 8 ÷ 2 whats the answer

Answers

2(4+7)= 8+14= 22. 8/2= 4. 22-4=18. The answer would be 18.

Answer:

your answer is 18 look below for an explanation!

Step-by-step explanation:

please just trust me i know for a fact its right plz leave a thx and may i please have brainliest?

because 2(4+7)= 8+14= 22. 8/2= 4. 22-4=18.

Please hurry no clown answers and please do the whole thing
You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points.

Write an equation to model the number of movies m you have to watch before you earn a free movie pass.
Solve the equation. Show your work.

Answers

100=40+2m

100-40=60

2m=60

60 divided by 2=30

30 movies

Answer:

2m+40=100, 30 movies

Step-by-step explanation:

1 movie = 2 points

1 pass= 100 points

curently have 40 points so

100points = 40points +2points *m

solve for m:

2m+40 =100 subtract 40 from both sides

2m = 100-40

2m=60 divide both sides by 2

m=60/2

m=30

f(x) = -4x^2 + 5x
Find f(6)

Answers

Answer:

-114

Step-by-step explanation:

f(6) it means f(x=6) so substituting x=6 in your equation gives us

f(6)= -4*(6)²+5*(6)

= -4*36+30

= -144+30

= -114

Which one? (The first answer gets Brainly) (HAS TO BE CORRECT)

Answers

Answer:

Cytoplasm

Step-by-step explanation:

Answer:

Cytoplasm

Step-by-step explanation:

Please help! I’ll give brainliest to whoever gets it right!

Answers

Answer:

3.62

Step-by-step explanation:

I am big brain and very smort

Answer:

362/ 100 or 3 62/100

Step-by-step explanation:

Q2. 81 = 3k

PLEASE HELP !!

Answers

Answer:

Step-by-step explanation:

A box of chocolates contains five milk chocolates, three dark chocolates, and fourwhite chocolates. You randomly select a chocolate. It is a milk chocolate or a dark chocolate.

Answers

Answer:

you randomly select and eat three chocolates

Answer:

there is a 5/12 chance its a milk chocolate and a 1/4 chance it's dark chocolate it's more likely chance it's a milk chocolate

Step-by-step explanation:

what is y=1/2x-10 Help me

Answers

Slope intercept form? Because slope intercept form is y= mx + b

Not sure what you are trying to figure out here

When 20 is subtracted from five times a number, the result is the same as when 18 is added to three times the number. What is the number?

Answers

Answer:

Number is 19

Step-by-step explanation:

denote the number by x.

the line says:

5x - 20 = 18 + 3 x

Subtracting 3x form both sides

2x - 20 = 18

adding 20 to both sides

2x = 38

dividing both sides by 2

x = 19

Answer:

Step-by-step explanation:

let n = the number

5n - 20 = 18 + 3n

combine like terms in one of four different ways

2n = 38

n = 19

A vector in standard position has its terminal point at (7, –4). What is the magnitude of the vector?

Answers

Answer:

Square root of 65

Step-by-step explanation:

Edge

The magnitude of the vector will be 8.0622 units.

What exactly is a vector?

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = (7, –4)

The magnitude of the vector is, R found as;

[tex]\rm R = \sqrt{7^2+(-4^2)} \\\\ R = \sqrt {65} \\\\ R = 8.0622 \ units[/tex]

Hence the magnitude of the vector will be 8.0622 units.

To learn more about vectors, refer;

https://brainly.com/question/13322477

#SPJ2

$6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned $220 in interest. Set up a systems of linear equations to model the amount of money invested and the interest earned.

Answers

Answer:

x + y = 6000

0.03x + 0.05y = 220

Step-by-step explanation:

Given that :

Total principal amount = $6000

Account A:

Let principal = x

Rate = 3% = 0.03

Account B:

Let principal = y

Rate = 5% = 0.05

Interest earned at after one year = $220

Amount invested :

x + y = 6000

Simple interest = principal x rate x time

Interest earned

(x * 0.03 * 1 ) + (y * 0.05 * 1) = $220

0.03x + 0.05y = 220

Janka si vložila 3200 eur na termínovaný účet s 1,2 úrokovou mierov koľko bude mať po 1 roku

Answers

Answer:

the present value is 3,162 euros

Step-by-step explanation:

The computation of the present value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

3,200 euros = Present value × (1 + 0.012)^1

3,200 euros = Present value × 1.012^1

Present value is

= 3,200 euros ÷ 1.012

= 3,162 euros

Hence, the present value is 3,162 euros

If you flip a coin 6 times, what is the best prediction possible for the number of times it will
land on heads?

Answers

Answer:

Step-by-step explanation:

50/50

Answer:

3 times or a 50% chance

Step-by-step explanation:

we have two options so that means half of the options will be heads and half of the options will be tails.

i hope this helps :)

The fraction 2 5/8 is equivalent to which of the following decimal numbers? pls help ill mark you the brainlyest

A 2.58

B 2.625

C 2.63

D 2. 6

Answers

Answer: 2.625
The fraction of 2 5/8 is equivalent to the decimal form of 2.625.

Why:
5/8 equals 0.625 so by adding this to 2, you get the final sum of 2.625! :)

Substitute 7 for xand evaluate the expression below.
9x-2x
Answer here

Answers

Answer:

The answer to this equation is 49

Step-by-step explanation:

9x-2x

9×7=63

2×7=14

63-14=49

For brainliest :)
Oml i need more characters
There :)

Answers

Answer:

Imfaooooooo

Step-by-step explanation:

Hope this helps or brightens your day! Please consider marking brainliest! Always remember, your smart and you got this! -Alycia :)

Answer:

characters for what?

anyways....I need brainiest! :P

Hep help please please

Answers

Answer:

The answer is 0, 5.25

Step-by-step explanation:

Dont answer this PLEAS

Answers

Answer:

why? also the answer is 1.6y+y-4/15y+7/6y=21/3

We move all terms to the left:

1.6y+y-4/15y+7/6y-(21/3)=0

Domain of the equation: 15y!=0

y!=0/15

y!=0

y∈R

Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R