NK Karate Club offers two different fees for their karate classes. Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class. Let y represent the number of karate classes attended.
a. Write an expression to represent the cost for a non-member to attend y classes.

b. Write an expression to represent the cost for a member to attend y classes.

c. Set the two expressions equal to each other and solve the equation to determine how many classes result in the same cost for a member and non-member.

Answers

Answer 1

Answer:

a) x = 8y

b) x = 32 + 4y

c) 8y =  32 + 4y

   

Step-by-step explanation:

-4y     -4y

8y = 32 + 4y

÷4    ÷4

4y = 32

y = 32

Answer 2

The expression represents the cost for a non-member to attend y classes is x=8y.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class.

Let y represent the number of karate classes attended.

a) The cost for a non-member to attend y classes is

Non-members pay $8 per class.

So, the expression is 8y

b) The cost for a member to attend y classes is

Club members are charged a one-time membership fee of $32 and pay $4 per class.

Now, the expression is 32+4y

c) Set the two expressions equal to each other, that is

8y =32 + 4y

8y-4y=32

4y=32

y=8

Therefore, the expression represents the cost for a non-member to attend y classes is x=8y.

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Related Questions



which of the following equations fits the data shown in the table?

Answers

Answer:

y=2x+3 C

Step-by-step explanation:

The first point (0,3) tells us the y intercept of 3 and we can use the slope formula to figure out that the slope is 2.

What is the solution to this equation?
325 + 12 = 39

Answers

Answer:

there is no solution to it as the equation isn't true (It doesn't make sense)

Step-by-step explanation:

Step-by-step explanation:

325 + 12 =

325 + 12 = 337

Answer: 337

So this means it isn´t 39

Which is the correct vertical cross section through the vertex of the figure?​

Answers

Is the 4 picture, o think that is the answer

What is the area of the square? A square with the left side labeled 4 units.

Answers

area of square is a^2
4^2 = 16
the area is 16 units

Answer:

Area = 16 units

Step-by-step explanation:

Area = length * width      Length = x      Width = w

A = (x) (w)

Because the shape is a square we know all 4 sides are equal, the lenth and width are the same sizes.

x = 4 units

w = 4 units

A = 4*4

A= 16 units

Solve for y: 3d = 7y + 5

Answers

Answer:

d = [tex]\frac{7y+5}{3}[/tex]

Step by step explanation:

3d = 7y+5

Divide both sides by 3

[tex]\frac{3d}{3}[/tex]= [tex]\frac{7y}{3}[/tex]+ [tex]\frac{5}{3}[/tex]

Simplify

[tex]\frac{7y+5}{3}[/tex]

PLEASE THIS IS THE LAST QUESTION I HAVE

Answers

Answer:

=468 m^2

Step-by-step explanation:

Surface area of a prism is

SA = 2 (lw + wh + hl)  where l is length, w is width and h is height

SA = 2 ( 12*6 + 6*9 + 9*12)

      = 2 ( 72+54+108)

      = 2(234)

       =468 m^2

I double checked for you it is 468

Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 10 exams. The first instructor's grades have a variance of 58.9. The second instructor's grades have a variance of 84.8. Test the claim that the first instructor's variance is smaller. (In most colleges, it is desirable for the variances of exam grades to be nearly the same among instructors.) The level of significance is 10%. (Recall: that the larger of the 2 variances needs to be in the numerator as the test is 1-tailed to the right)

Answers

Answer:

Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

Step-by-step explanation:

1)Formulate the hypothesis that first variance is equal or greater than the second variance

H0: σ₁²≥σ₂²  against the claim  that the first instructor's variance is smaller

 Ha: σ₁²< σ₂²

2) Test Statistic F= s₂²/s₁²

F= 84.8/ 58.9=  1.4397

3)Degrees of Freedom = n1-1= 10-1= 9  and n2 = 10-1= 9

4)Critical value   at 10 % significance level= F(9,9)= 2.4403

5)Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

SHOW WORK FOR BRAINLIST!!!
60% of students in a class use TikTok. 20% of those students post their own videos. If 3 students post videos to TikTok, how many students are in the class?

Answers

Answer:

25 students

Step-by-step explanation:

Let x = no. of students in the class

.6x = no. of students that use TT

.2(.6x) = no. of students that post videos

.2(.6)x = 3

.12x = 3

x = 25 students

A. (P U Q)^c n S
B. (P U Q)^c
C. P^c n Q^c U S
D. ( P n Q)^c U S

Answers

Answer:

D. (p n Q)^ c U S

Step-by-step explanation:

not sure with the explanation

Find an ordered pair (x, y) that is a solution to the equation.
2x-y=9

Answers

(0,-9) or (1,-7) or (2,-5) either one would be correct

Giving out the 15 points help please number 2.

Answers

Answer:

B that's the answer for that

find the length of the unknown side

Answers

Answer:

20

Step-by-step explanation:

15^2 + b^2 = 25^2

what is the expression for one-sixth of the sum of 7 and s plus the product of 2 and q

Answers

Answer:

= [tex]\frac{1}{6}[/tex] (7 + s) + ( 2 × q )

I'm pretty much sure that this is correct.

Does anyone know the answer?

Answers

Step-by-step explanation:

Yes sure.

a. New value of painting=60/100×$550=$330

b. New value of vase=70/100×$395=$276.5

c. New value of clock=180/100×$1175=$2115

d. New value of chair=95/100×$745=$707.75

Angles c and d are complementary. If angle c is 2x and angle d is 66, what is the value of x?

Answers

Answer:

x=12

Step-by-step explanation:

Complementary angles add up to 90 degrees. 90-66=24. 24 divided by 2 is 12.

Help will give brainly of aw ser is right

Answers

Answer:

40 is your answer:)

Step-by-step explanation:

4x3= 12

12/2=6

6x4=24

4x4=16

24+16= 40

How much is 24% of 78,000

Answers

Answer: 18,720

Step-by-step explanation:

Let's take this equation

78,000(n)

n will equal 0.24, since we are trying to find 24% of 78,000

78,000(0.24)

18,720

Answer:

18720

Step-by-step explanation:

24/100 × 78,000

=18720

[SOLVED]

Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How many boxes of vegetables did she take home?

How many boxes of carrots are left?
7

How many boxes of potatoes are left?
9

How many boxes altogehter are left?
16

Answers

Answer: 16 vegetables

Step-by-step explanation:

Answer:

7 carrots 9 potatoes and 16 all together

Step-by-step explanation:

15) Perry had some candy to give to his five
children. He first took three pieces for
himself and then evenly divided the rest
among his children. Each child received
three pieces. With how many pieces did
he start?
32

Answers

Answer:

18

Step-by-step explanation:

5 kids times 3 pieces each = 15 and then add the 3 that the dad got.

Answer:

18

Step-by-step explanation:

let 'x' = pieces of candy at start

(x-3)/5 = 3

cross-multiply:

x - 3 = 15

x = 18

PLEASE HELP WILL GIVE BRAINLIEST!!!QUESTION IS ATTACHED AS PICTURE!!
Answers
Mortys total cost for the items he has purchased : ?
Mortys revenue from the sales : ?
Mortys total profit was : ?

Answers

Answer:

15.00-2500...

20.00+55.00

Evaporation and Transpiration
Terminology
- Evaporation - process by which liquid water
passes directly to the vapor phase
Transpiration - process by which liquid water
passes from liquid to vapor through plant
metabolism.​

Answers

Answer:

well done

Step-by-step explanation:

Evaporation and transpiration terminology

Let x2
+ 10x = 6.
What values make an equivalent number sentence after completing the square?

Answers

Answer:

3/5 OR 0.6

Step-by-step explanation:

A child weighing 59 lb has a bad infection and is to be given Cefaclor.
The dosage is 15 mg per kg.
The drug will be delivered in an oral suspension with concentration 250 mg/5 mL.
How many mL will she receive?
Round to the nearest whole number.
You will need to convert her weight to kg, using 1 kg = 2.2 lb.

Answers

Answer:

Step-by-step explanation:

59:2,2=26,81

15*26,81:250=1,6086

A play has two different male roles, two different female roles and two different roles that can be either gender. Only a man can be assigned to a male role, and only a woman can be assigned to a female role. If five men and six women audition, in how many ways can the six roles be assigned?

Answers

5*4 for the male roles
6*5 for the female roles
after they are assigned
7*6 for the either gender
20+30+42 =92 total ways
or
20*30*42= 25200 total ways

There are total 66,000 ways the six roles can be assigned.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since only a man can play a male role,

We have 5 options for the first male role and 4 options for the second male position (because a guy cannot play both roles).

So there are 5x4 = 20 options for male roles.

Next, consider how many different ways the female positions can be filled. Because only a woman can play a female role,

We have six options for the first female role and five options for the second female position (because a woman cannot play both roles).

So there are 6x5 = 30 possibilities for female roles.

Finally, consider how many different ways the gender-neutral roles can be filled. Because any of the 11 actors can play these parts,

We have 11 options for the first gender-neutral role and 10 options for the second (because one actor cannot play both roles).

So there are 11x10 = 110 possibilities for gender-neutral jobs.

To find the total number of ways the six roles can be assigned,

we multiply the number of ways to fill each set of roles,

Hence,

20 x 30 x 110 = 66,000.

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Tim says 1/8 of this model is shaded. Lucy says 8/8 of this model is shaded.​

Answers

Answer:

Step-by-step explanation: Lucy is correct because all of the squares are filled, and therefore instead of 1 square filled, 8 are, this is why lucy is correct :)

Answer:

Lucy is correct.

Step-by-step explanation:

We can see that the ENTIRE model is shaded ( all eight squares).

So Lucy is correct since she stated that 8 out of 8 (8/8) squares are shaded.

8/8 = 1, so whole.

1/8 would mean that only one out of eight squares is shaded, so Tim is NOT coorrect.

The pool table has a height of 7ft. Side one is 18ft and side two is 17ft. What is the area and perimeter?

Answers

Answer:

2142

Step-by-step explanation:

just multiply the sides

if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00

Answers

Answer:

B

Step-by-step explanation:

There is a 1/4 probability of getting an A out of a bag with letter MATH

For B) There are two A's our of 8 letters is ADMIRALS.

2/8 is the same as 1/4

The answer is B

A) is wrong because that 1/6

C) is wrong because that's 1/8

D) is wrong because that's 2/9

Answer:

B

Step-by-step explanation:

Probability of finding A in a word =  number of A / number of letters in that word

Probability of finding A in MATH = 1/4

A. Probability of finding A in BECAME = 1/6

B. Probability of finding A in ADMIRALS = 2/8 = 1/4

C. Probability of finding A in USERNAME  = 1/8

D. Probability of finding A in AFTERMATH = 2/9

So we have a match with option B

Which inequality has (–2.5, –4.5) as part of the solution set?

Answers

Answer:

the answer is c (x+2)^2/16 + (y+6)^2/16 <1

Step-by-step explanation:

on edge 2021 unit test got it right

Answer:

it c

Step-by-step explanation:

Help plz, these questions are very confusing :/

Answers

Answer:

1.

cos ∅=b/h=24/25

:.b=24

h=25

by using Pythagoras law

h²=p²+b²

25²=p²+24²

p²=25²-24²

p=√7²=7

now

sin ∅=P/h=7/25

tan∅=p/b=7/24

2.cos is your answer

sec∅-sin∅tan∅

1/cos∅-sin²/cos∅

(1-sin²∅)/cos∅

cos²∅/cos∅

cos∅

3.

tan²∅-sec²x

sin²∅/cos²∅-¹/cos²∅

(sin²∅-1)/cos²∅

order the numbers 0.3, 2/5, -0.85, 0.09, 3/4, 3/20 least to greatest​

Answers

Answer:

-0.85, 0.09, 3/20, 0.3, 2/5, 3/4

Step-by-step explanation:

Turn all the fractions into decimals

2/5 -> .4

3/4 -> .75

3/20 -> .15

Then order them

-.85, 0.09, 0.15, 0.3, 0.4, 0.75

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