All 60 students in the seventh grade must choose a Fall sport in which they will participate. 1/5 of them choose volleyball, 40% of them choose soccer, and the remainder choose softball. How many students choose softball?

Answers

Answer 1

Answer: 1/5 = 20%
100%-40%-20%=40%
40% chose softball
40% of 60:
60 x 0.4= 24 students chose softball

Answer 2

Answer: If my math is correct, 1/5 of 60 is 12, and 40% of 60 (which is the same as 2/5) is 24, so 12 + 24 = 36. That takes care of how many students played volleyball and soccer, so 60 - 36 = 24.
24 students chose softball.
Hope this helps!

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Simplify the expression (2x − 9)(x + 6).

Answers

( 2x - 9 ) ( x + 6 )

( 2x ) ( x ) + ( 2x ) ( 6 ) + ( - 9 ) ( x ) + ( - 9 ) ( 6 )

2x² + 12x - 9x - 54

2x² + 3x - 54.

(2x-9)•(x+6)

2x•x+2x•6-9•x-9•6

2x²+12x-9x-54
2x²+(12-9)•x -54
2x²+3x-54

I need help with all of it

Answers

Domain = x values; Range = y values

1) Domain: [0,6] Range: [-3,3]

2) Domain: (-infinity, infinity) Range: [-1, infinity)

3) Domain: [-2, 5] Range: [-2, 1]

4) Domain: (-infinity, 4] Range: (-infinity, infinity)

5) Domain: [-3, 3] Range: [-4, 4]

6) Domain: (-infinity, 4] Range: (-infinity, infinity)

A charity fair raised $6,000 by selling 500 lottery tickets. There were two types of lottery tickets: A tickets cost $10 each, and B tickets cost $60 each. How many tickets of each type were sold?

Answers

Let a be the tickets that cost 10 each and b the tickets that cost 60 each. So therefore, a + b = 500 and 10a + 60b = 6000. By substituting the given numbers, a will be equals to 480. So the tickets sold are: 480 tickets for 10 each and 20 tickets for 60 each. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.

Answer:

on plato E. 480,20

Step-by-step explanation:

Evaluate the function f(x) = x2 + 3x for both of the following: a. Find f(0)
b. Find f(4)
PLEASE ANSWER QUICK

Answers

f(x)=x²+3x

f(0)=0²+3*0=0+0=0

Answer: f(0)=0

f(4)=4²+3*4=16+12=28

Answer: f(4)=28

The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function p(x)=8600-22x. In this function x represents the number of?

Answers

In this function x represents the number of hours his one employee works.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function p(x)=8600-22x.

The variable x represents the number of hours the employees. The total payment will be calculated by using the expression below,

p(x)=8600-22x

Hence, the value x is the number of hours employees worked.

To know more about an expression follow

brainly.com/question/865956

#SPJ2

In this function x represents the number of hours his one employee works.

1/7 times x = 1
5/4 times x=1
3 1/2 times x=1
5/7 times x=1

Answers

( i )

$= > (1)/(7) * x = 1 \n \n \n \n = > (1)/(7) * 7 * x = 1 * 7 \n \n \n \n = > x = 7$

( ii ) :

$= > (5)/(4) * x = 1 \n \n \n \n = > (5)/(4) * (4)/(5) * x = 1 * (4)/(5) \n \n \n \n = > x = (4)/(5)$

( iii ) :

$= > 3(1)/(2) * x = 1 \n \n \n \n = > (7)/(2) * x = 1 \n \n \n \n = > (7)/(2) * (2)/(7) * x = 1 * (2)/(7) \n \n \n \n = > x = (2)/(7)$

( iv ) :

$(5)/(7) * x = 1 \n \n \n \n = > (5)/(7) * (7)/(5) * x = 1 * (7)/(5) \n \n \n \n = > x = (7)/(5)$

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To begin an indirect proof you assume the converse of what you intend to prove is true

. Let A = (−2, 4) and B = (7, 6). Find the point P on the line y = 2 that makes the total distance AP + BP as small as possible.