Jada and her friends want to go indoor skating on Saturday night. Jacaranda Skating Zone charges $40 for entry and $12 per hour to skate, while Wiles Skating Zone charges $10 for entry and $22 per hour to skate. At how many hours would it be the same cost at either skating zones?

Answers

Answer 1

At 3 hours both Jacaranda and Wiles would have the same cost

Let y represent the total charges by Jacaranda and x represent the number of hours. Hence:

y = 12x + 40

Let z represent the total charges by wiles and x represent the number of hours. Hence:

z = 22x + 10

Since they are to have the same cost, hence:

y = z

12x + 40 = 22x + 10

10x = 30

x = 3 hours

Therefore at 3 hours both Jacaranda and Wiles would have the same cost.

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Related Questions

Divide 28 bottles of water into two groups so the ratio is 3 to 4. Be sure to show your work.

Answers

Answer:

12:16

Step-by-step explanation:

28 split into two groups could be 12 : 16. To check the work, see if 3/4 is equal to 12/16. It is, so this is the accurate ratio, as 12 + 16 = 28 and 12/16 = 3:4.

a man is 3 times as old as his son. the sum of their ages is 48 years, how old is the son?

Answers

Let the sons age = x

The dads age would be 3x ( 3 times the sons age)

X + 3x = 48

Simplify:

4x = 48

Divide both sides by 4

X = 12

The sons age is 12

Can someone pls help em brainliest

Answers

Answer:

9

Step-by-step explanation:

I've attached a picture, and I hope it's clear and understandable.

Answer: k=9

Step-by-step explanation:

Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.

The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,

2k/3 = 6

2k = 18

k = 9

Kayla bought 16 bagels. Each bagel cost $1.50. She paid a total of $20. Write an equation to determine how many bagels she bought.

Answers

Answer: 16 x 1.50 = 20

I think it’s that, hope this helps

The picture is where my question is please answer it, thanks.

Answers

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.

Given that a group wants to visit a water park over the summer, and tickets cost $ 10 for each child and $ 15 for each adult, and the group has a total of $ 90 to spend on tickets to the water park, to determine how many people from each group went to the park, the following calculation should be made:

10X + 15Y = 90

Thus, there are different correct options:

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.

credit to: francocanacari

The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?

A) $3.00
B) $21.00
C) $45.00
D) $90.00

Answers

The answer is c) $45.00.

Lines AD and BC are parallel. Find the measures
of the three angles in triangle ADE.
A
D
1500
45°
B
F

Answers

Answer:

45, 30, & 105

Step-by-step explanation:

<B=<D by alt. interior <s

180-150=30, so <C=30, <C=<A by alt interior <s

30+45=75

180-75=105

findthe classification schemes of a fungues​

Answers

Step-by-step explanation:

The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.

What is the slope of a line perpendicular to the line represented by the equation 2y=-6x+8

Answers

Answer:

First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.

2y = - 6x + 8

y = (-6x/2) + 8/2

y = - 3x + 4

The current slope is -3 or -3/1

The negative reciprocal is 1/3

What is the factored form of this expression?

4t2 − 27t + 18

A.
(4t − 18)(t − 1)
B.
(4t − 3)(t − 6)
C.
(2t − 9)(2t − 2)
D.
(2t − 6)(2t − 3)

Answers

Answer: B. (4t - 3)(t - 6)

Step-by-step explanation:

(4t - 3)(t - 6)

= 4t^2 - 24t - 3t + 18

= 4t^2 - 27t + 18

Answer:

B

Step-by-step explanation:

Sum = -27

Product = 18*4 = 72

Factors = (-24) ; (-3)     {(-24)*(-3)=72 & (-24) + (-3) = -27}

4t² -27t + 18 = 4t² - 24t - 3t + (-3)*(-6)

                    = 4t(t -6) - 3(t - 6)

                    = (t - 6)(4t - 3)

what is the value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 ?

a. 5/12

b. 7/12

c. 11/12

d. i don’t know

Answers

Answer:

B.[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]m=\frac{3}{2}\\n=\frac{1}{2\\} \\\frac{1}{2} (m-\frac{2}{3} n)=\frac{1}{2} (\frac{3}{2} -\frac{2}{3} .\frac{1}{2} )\\=\frac{7}{12}[/tex]

So B is the correct answer.

Expression is a combination of operators, variables and numbers.. The value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.

What is Expression?

Expression is a combination of operators, variables and numbers.

The given expression is one by two  times of m minus two by three times n.

1/2 (m-2/3n)

where m and n are two variables with values m equal to three by two 3/2 and n equal to one by two.

1/2 (3/2-2/3(1/2))

Firstly we solve the value in parenthesis.

1/2 (3/2-1/3)

LCM of two, three is six

1/2 ((9-2)/6)

Subtract nine and two we get seven

1/2 (7/6)

Now one by two times of seven by six

7/12

So value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.

To learn more on expressions click:

https://brainly.com/question/14083225

#SPJ2

WHO WANTS TO SOLVE ANY MATH QUESTION?

Answers

Depends on which one

Answer:ok

Step-by-step explanation:

ez ez ez ez

If y varies directly as x and inversely as z, and y=22 when x=4 and z=6, find y when x =10 and z = 25.
I give Brainliest! Please no links

Answers

Solution:
y = kx/z
22 = k(4)/6
22(6) = k(4)
132 = k(4)
132/4 = k
k = 33
y = kx/z
y = (33)(10)/25
y = 330/25
y = 66/5

High School
Please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please AND SHOW YOUR WORK

Answers

Answer:

Step-by-step explanation:

6) y = 2x² +  6x - 80

1) y = 2*x² + 2*3x - 2*40

  y = 2 [ x² + 3x - 40]

2) Sum = 3

Product = -40

Factors = (-5) ; 8   {-5 +8 = 3  ; (-5)*8 = -40}

y = 2 [ x² + 8x - 5x - 40]

      = 2 [ x(x + 8) -  5(x + 8) ]

      = 2 [ (x +8) (x - 5)]

y = 2(x +8)(x -5)

b) y = 0

2(x + 8)(X - 5) = 0

x + 8 = 0 ;  x - 5 = 0

x = -8 ;             x = 5

(-8) ; 5  are the zeros.

find the area
(not to scale)​

Answers

Answer: no

Step-by-step explanation: no

You are given a card number that says 9 3 4 3 9 4 8 5 3 1 7 3 2 3 6 x. If this is the credit card number what must x be?

Answers

Answer:

7

Step-by-step explanation:

it is a 16 digit credit card number. Therefore, start from the first digit and double alternating digits. Add them and the non doubled digits. should be divisible by 10. For double digits, they are added to make single digit.

9+3+8+3+9+4+7+5+6+1+5+3+4+3+3+x = 73+x

final number should be divisible by 10.

x=7


PLEASE HELP

Absolute Value Inequalities

Answers

what do you need help with?

Is the following inequality true : 4 <_ 4 ?

Answers

Answer:

Yes

Step-by-step explanation:

This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.

an artist spent 3/5 of an hour painting 1/4 of a mural. how kuch of the mural will be completed in one hour how long will it take to complete one mural

Answers

Answer:

2.4hrs or 2hrs 24 minutes

Step-by-step explanation:

3/5 × 4/1 = 12/5

60÷5=12

12×12=144

144÷60=2.4hrs

how do you do this, thanks for helping

Answers

Answer:

A: (-7, -4)

B: (-3, 8)

Step-by-step explanation:

Ordered pairs are (x,y).

Count the lines and see:

A is 7 to the left and 4 down so (-7, -4)

B is 3 to the left and 8 up so (-3, 8)

REMEMBER X IS ALWAYS FIRST!!

Does this answer make sense? YES! Because quadrant II all the pairs will be (-#, #) and in quadrant III the pairs will be (-#, -#)

Hope that helps!

Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x <47)?
A. 0.16
B. 0.025
C. 0.975
D. 0.84

Answers

Answer: A

0.16

Step-by-step explanation:

just took it

1/5 divided by 2/3 help meee loll

Answers

Answer:

3/10 or 0.3

Hope this helps

the awnser is 0.3 .......................

v + w at v = 2, w =5

Answers

Answer:

7

Step-by-step explanation:

if v=2 and w=5 you add 5 and 2 and get 7

Robin Bolton earns a monthly gross salary of 3,280 as a medical assistant she is considering a new position as a medical office manager which would pay 14.90 an hour with time and a half per hour for all 40 per week how many of overtime per week would robin need to work to earn the same amount as her current job

Answers

The number of overtime hours Bolton will need at his new position in other to make the same monthly income ls 10 hours per week.

Monthly gross = 3,280

Weekly gross = 3280 / 4 = 820

New position :

Pay per hour = 14.90Overtime = 1.5(14.90) = 22.35

Let the number of overtime hours required weekly = t

Hence,

(14.90 × 40) + 22.35t = 820

596 + 22.35t = 820

22.35t = 820 - 596

22.35t = 224

t = 224 / 22.35

t = 10

Therefore, he'll need 10 hours of overtime.

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Ben deposited $500 into a savings account at a local bank that earned 5% interest per
year. How much interest does he earn per year?

Answers

Answer:

$25

Step-by-step explanation:

500*0.05=25

Answer:

$25 because 100 is half of 500

At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?

Answers

the car is driving at 63 mph

PLEASE ANSWER ALL THESE FOR 60 POINTS!!!

Answers

Answer:

Step-by-step explanation:

17. ≈ 1.41 + 5 = 6.41

18. ≈ 1.73 × 2.24 = 3.8752

19. ≈ 3.14 × 25 = 78.5

20. ≈ 2.24 × 2.24 = 5.0176

21. ≈ 10 - 2 × 3.14 = 10 - 6.28 = 3.72

22. I’m sorry. I don’t know.

please give me a brainliest answer

HELP ME PLEASE WITH THIS QUESTION! :D

Answers

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

(a)

3 × a × 2 × b

= 3 × 2 × a × b

= 6ab

(b)

[tex]c^{5}[/tex] × c

= [tex]c^{(5+1)}[/tex]

= [tex]c^{6}[/tex]

(c)

2[tex]y^{4}[/tex] × 5y³

= 2 × 5 × [tex]y^{4}[/tex] × y³

= 10 × [tex]y^{(4+3)}[/tex]

=10[tex]y^{7}[/tex]

(d)

3gh² × 4g³h³

= 3 × 4 × g × g³ × h² × h³

= 12 × [tex]g^{(1+3)}[/tex] × [tex]h^{(2+3)}[/tex]

= 12[tex]g^{4}[/tex][tex]h^{5}[/tex]

(5,6) and (6,8) equation of line​

Answers

Hdjdjdjdbdhdjdjdjdjdjjdirhebdudbxjd chbduxbxbdhxbxh

1. (3n+2)(n+3)
this is multiplying binomial by a binomial

Answers

Using the distributive property with FOIL:

(3n + 2) ( n + 3)

3n² + 9n + 2n + 6

3n² + 11n + 6

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