On a certain hot​ summer's day, 421 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $788.50. How many children and how many adults swam at the public pool that​ day?

There were _ children at the public pool.

There were _ adult at the public pool

The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;

Statement A; The equation has one solution, y = 0

The given equation is;

3(-y + 7) = 3(y + 5) + 6

Expanding the brackets gives us;

-3y + 21 = 3y + 15 + 6

-3y + 21 = 3y + 21

Using subtraction property of equality, subtract 21 from both sides to give;

-3y = 3y

Using addition property of equality, add 3y to both sides to give;

-3y + 3y = 3y + 3y

6y = 0

Using division property of equality, divide both sides by 6 to get;

y = 0

Read more about factorization at; https://brainly.com/question/11000698

The missing statements are;

A. The equation has one solution, y = 0.

B. The equation has one solution, y = -1.

C. The equation has no solution.

D. The equation has infinitely many solutions.

Answer:

Perpendicular bisector

Step-by-step explanation:

Answer:

1) 32/7

2) 7/5

3) 13/4

4) 32/15

5) 19/2

6) 57/14

Step-by-step explanation:

Use a calculator and/or multiple the coefficients with the value of the denominator then add it to the numerator and multiply.

Answer:

X is just a variable.

Step-by-step explanation:

Answer:

w^18

Step-by-step explanation:

exponents are multiplied when there is a parenthesis between them

Answer:

[tex]w^{18}[/tex]

Step-by-step explanation:

the "power to a power" rule allows you to multiply those two exponents. [tex](x^{a} )^{b} =x^{ab}[/tex] is the formula for this rule. in this question, x is w, a is 3, and b is 6. we can multiply the 3 and 6 and get 18 and keep the base the same.

Step-by-step explanation:

the answer is the factor of n : 70.

with every sold ticket the charity raises $70.

add on :

to break even (to have at least 0 or more dollars as profit) they need to sell at least

70n - 1500 = 0

70n = 1500

7n = 150

n = 150/7 = 21.42857143...

that means, since they can't sell parts of tickets, they need to sell at least 22 tickets.

Step-by-step explanation:

18.

the last one.

-4.9t² + 24.5t + 117.6 = 0

the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.

19.

the general solution for a quadratic equation

y = ax² + bx + c

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -4.9

b = 24.5

c = 117.6

t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =

= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8

t1 = (-24.5 + 53.9)/-9.8 = -3

t2 = (-24.5 - 53.9)/-9.8 = 8

a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.

20.

now the equation is

-4.9t² + 24.5t + 117.6 = 49

but this is quickly transformed again into a "= 0" equation :

-4.9t² + 24.5t + 68.6 = 0

t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =

= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8

t1 = (-24.5 + 44.1)/-9.8 = -2

t2 = (-24.5 - 44.1)/-9.8 = 7

again, negative time does not make sense.

the ball will be at 49 m height after 7 seconds.

Answer:

-6.89, -5.6, 0, 2.06, 7.95

Step-by-step explanation:

Hope this helps!

-6.89.-5.6,0,2.06,7.95

Negatives are always lesser values than positives.

Answer: B

Step-by-step explanation:

What the judge should do is adhere strictly to the rules.

This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.

Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.

Learn more about referees in https://brainly.com/question/8186953

The referee will have to allow halftime interval as a result of one of the

players wanting it.

Every sport has rules which guides the game to ensure fair play and  prevent

confusion from happening. Referee decisions are based on the rule of the

game but can also be negotiated.

In this scenario, if all the players wanted eliminate the halftime interval, it

could have been honored .But in this case, the referee has to follow the rules

of the game due to the other player disagreeing with the suggestion.

Read more about Sport rules https://brainly.com/question/1862654

Answer:

[tex]-8p^2+10p-3[/tex]

Step-by-step explanation:

[tex](-1+2p)(3-4p)[/tex]

Distribute

[tex]-1(3-4p)+2p(3-4p)[/tex]

[tex]-3+4p+6p-8p^2[/tex]

Then you will organize it into standard form and combine the like terms

[tex]-8p^2+6p+4p-3[/tex]

[tex]-8p^2+10p-3[/tex]

Hope this helps!

Answer:

v = 32

Step-by step explanation:

Step-1: Subtract 15 both sides

⇒ v/4 + 15 = 23

⇒ v/4 + 15 - 15 = 23 - 15

⇒ v/4 = 8

Step-2: Use cross multiplication

⇒ v/4 = 8

⇒ v = 8 × 4 = 32

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

Answer:

21.25 feet

Step-by-step explanation:

16.5 feet

+14.75

=21.25 feets

Answer:

4 Quarts =  1 Gallon

Step-by-step explanation:

1 is an integer and not a fraction. However, it can be expressed as a fraction in rational form as 1/1. So a possible answer is 1/1 gallon. I don't know for sure though its my best guess.

Answer:

  A. discrete

  B. discrete

  C. continuous

  D. continuous

Step-by-step explanation:

When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.

__

When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.

Answer: 4x = x+12

Step-by-step explanation:

Answer:

the ration is 2:1 when simplified

Answer:

4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6

Step-by-step explanation:

Answer: B = 90°; C = 60°

Step-by-step explanation:

B is obviously 90° because of the right angle quadrant.

Since it is a right triangle and A is already 30°, just subtract 30 from 90.

90 - 30 = 60

Thus, C is 60°.

Correct me if I am incorrect.

Therefore, the answer is 28.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

The function of the construction crew is an illustration of a linear function

The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours

The function is given as:

To calculate f(3), we substitute 3 for x

Multiply 300 and 3

Add 900 and 1000

This means that the value of f(3) is 1900.

And it represents the total number of square feet paved after working for 3 hours

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

Answer: 7*4 is 28 square centimeters...

Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.

This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

[tex]f(x) = -38\\\\\implies 3x -5 = -38\\\\\implies 3x = -38 +5 \\\\\implies 3x = -33\\\\\implies x = -\dfrac{33}{3}\\\\\implies x = -11[/tex]

Answer:

[tex]x=\pm2[/tex]

Step-by-step explanation:

[tex]f(x)=4x^4-64[/tex]

[tex]0=4x^4-64[/tex]

[tex]0=x^4-16[/tex]

[tex]16=x^4[/tex]

[tex]\pm2=x[/tex]

Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7

Answer:

x > 23

Step-by-step explanation:

2x - 5 > 18 + x

x - 5 > 18

x > 23

brainliest pls

Answer:

(1) x=15/2

(2) x=1

Step-by-step explanation:

(1) 4x−1 /2 =x+7

2x+ −1 /2 =x+7(Distribute)

2x+ −1 /2 =x+7

Step 2: Subtract x from both sides.

2x+ −1 /2 −x=x+7−x

x+ −1 /2 =7

Step 3: Add 1/2 to both sides.

x+ −1 /2 + 1 /2 =7+ 1 /2

x= 15 /2

(2) 3x+2=( 2x+13)/ 3

3x+2= 2 /3 x+ 13 /3  (Distribute)

3x+2= 2 /3 x+ 13 /3

Step 2: Subtract 2/3x from both sides.

3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x

7 /3 x+2= 13 /3

Step 3: Subtract 2 from both sides.

7 /3 x+2−2= 13 /3 −2

7 /3 x= 7 /3

Step 4: Multiply both sides by 3/7.

( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )

X=1