Nola was selling tickets at the high school dance. At the end of the evening she picked up the cash box and noticed a dollar lying next to it. She said, "I wonder whether the dollar belongs inside the cash box or not." The price of tickets for the dance was 1 ticket for

Answers

Answer 1

Answer:

The $1 belongs to the cash box

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine if the $1 belongs to the cash box or not

Represent singles with s and couples with c.

From the attachment, we have:

[tex]s + c = 47[/tex] --- total attendance

[tex]5s + 4c =200[/tex] --- ticket sold

Solve for s and c.

Make s the subject in (1)

[tex]s = 47-c[/tex]

Substitute 47 - c for s in (2)

[tex]5(47 - c) + 4c = 200[/tex]

Open bracket

[tex]235 - 5c + 4c = 200[/tex]

[tex]235 - c = 200[/tex]

[tex]c = 235 - 200[/tex]

[tex]c = 35[/tex]

This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.

So, we can conclude that the $1 belongs to the cash box

Nola Was Selling Tickets At The High School Dance. At The End Of The Evening She Picked Up The Cash Box

Related Questions

I need help with this

Answers

8/9 divided by 2/3 is 1 1/3

i really need help please help me

Answers

Answer:

5.667 yards of fabric was used to make a cape

Step-by-step explanation:

(Total Yard of Fabric)1/3 = (What's Used)

Total Yard Fabric = 17

What's Used = x

1 third = 1/3

(17)1/3 = x

x = 17/3 or about 5.667 yards of fabric used

Double Check:

5.667/17 = 0.3334 which is about 1/3

If you want to find how much he has left:

1 - 1/3 = 2/3

17(2/3) = x

x = 34/3 or about 11.333 yards of fabric left.

Double Check:

11.333/17 = 0.6666 which is about 2/3

Can someone help me? I don’t have much time.

According to the synthetic division below, which of the following statements are true? Check all that apply.

Answers

I'm pretty sure it's D and E...but if I'm wrong sorry.

Ben sells homemade cards at a craft fair. He wants to earn more than $50 at the fair. He sells his cards for $2 and he has already earned $36. How many cards foes he need to sell to reach his goal? Write and solve an inequality.​

Answers

Answer:

He must sell 8 cards to reach the minimum goal.

Step-by-step explanation:

Giving the following information:

He wants to earn more than $50 at the fair.

He sells his cards for $2 and he has already earned $36.

First, we need to calculate the money required to reach the minimum goal:

51 - 36= $15

Now, we write the inequality:

2*x >15

x= number of cards sold.

x>15/2

x> 7.5

He must sell 8 cards to reach the minimum goal.

A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?

Answers

Answer:

I'm pretty sure it is 85 feet

EASY MATH PLS HELP pt 2

Answers

Answer:

1. 30

2. 10

3. -10

30, 10, and -10

60 - 30 - 30

50 - 40 = 10

40 - 50 = -10

Pls helpppp I need the answer asap

Answers

Answer:

CASH = 7284

Step-by-step explanation:

MATHEMATICS = 12345123678

CASH = ?

Find what number the letters represent:

M = 1

A = 2

T = 3

H = 4

E = 5

I = 6

C = 7

S = 8

Then, replace the numbers in the word CASH:

C = 7

A = 2

S = 8

H = 4

Therefore, the number is 7284.

Hope this helps and please mark Brainliest :)

the sales tax for an item was 12.80 and it cost 320 before tax​

Answers

Answer:

4%

Step-by-step explanation:

Divide the tax by the pre-tax price =

12.80/320 = .04 or 4%

Find the slope and y-intercept of the line in each graph.

Answers

Slope of question on the left is 5/2 and the intercept is 3
On the right

Slope is negative 2/3 and the intercept is 2

Answer:

1. slope = 2; y-intercept = 3

2. slope = [tex]\frac{-2}{3}[/tex]; y-intercept = 2

let me know if you need the math

The dimensions of a rectangle are x+3 and x+4. The area of the rectangle is 72. Set up an equation that models this rectangle and solve in order to determine the value of x.

Answers

Answer: x = 5

Step-by-step explanation:

The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.

l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72

Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.

x^2 + 7x - 60 = 0

Apply the quadratic formula

[tex]\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}[/tex]

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.

x = 5 and x = -12

An alternate way is just factoring the trinomial to:

(x+12)(x-5) = 0

Please help, and plz don't be saying this is the right answer if u dont know for sure.

Answers

It will be 9x + 1 = 12x + 20.

The answer you’ll put in the box is 1, because it doesn’t ask you to solve for x, just fill in the number.

Answer:

The blank in the equation is 1.

x = 7 and the vertical angles measure out to 64 degrees.

Step-by-step explanation:

When solving for x, you always want to keep the variables on one side. So you'll subtract 9x from both sides. That gives you 1=3x-20. Then you'll add 20 to both sides. This gives you 21=3x. After you'll divide by 3 on both sides. This gives you 7=x.

Now you'll plug in 7 for x. This gives you 12*7-20=9*7+1. First, you'll multiply which gives you 84-20=63+1. Add and you'll get 64 on both sides.

If a retailer has an item that is priced at $3.54 and wants to sell it for 20% less, the markdown will be _____.

Answers

Answer:

KNMOJAO0 GPR5PWQ3]

Step-by-step explanation:

vgjaseh jvgofrAQ vfjswA

Answer:

:)

Step-by-step explanation:

well if u take 3.54 x 20%, you get 0.708 or 70 cents.. so i’m guessing 70 cents.

Lillie begins solving the equation 4 (x - 1) - x = 3 (x + 5) -11. Her work is shown below.

Answers

Answer:

I dont know

Step-by-step explanation:

sorry but I need these points

Answer:

The equation has no solution

Step-by-step explanation:

I got it right on edge 2021

Kimberly's family has a dinner bill of $56.95 and wants to leave a 15% tip for their server. How much will this family spend for the meal plus the tip? 50 points!

Answers

Answer:

This family spend for the meal plus the tip : $56.95 + $8.54 = $65.49

The tip = $56.95 x 15% =$8.54

Step-by-step explanation:

Which table could represent a function?


input -5 -4 -3 -2 -1
output 0 1 2 3 4

input 4 3 2 3 1
output 10 9 12 15 2

input -8 -6 -4 -2 -8
output 1 -1 1 -1 -1

input 10 20 30 20 10
output -10 -20 -30 20 10

Answers

Answer:

First option

Step-by-step explanation:

If each input value leads to only one output value, classify the relationship as a function.

Answer:

input -5 -4 -3 -2 -1

output 0 1 2 3 4

Step-by-step explanation:

I WILL GIVE BRANLIEST AND 10 POINTS

What is the volume of the prism?

Enter your answer in the box as a mixed number in simplest form.

Answers

Answer:

For  the volume, the formula is length*width*height

so

(2)(1.5)(1.5)=4.5

In other words, your answer would be 4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

(2)(1.5)(1.5)=4.5

Hope This Helps!!

X-5 = -4
i’ve been trying my best

Answers

Answer:

x = 1

Step-by-step explanation:

1 - 5 = -4

Answer:

x = 1

Step-by-step explanation:

x - 5 = -4 *add 5 to both sides*

x = 1

hope this helps!

area of rhombus whose diagonals are 9cm and 4cm is​

Answers

Answer:

18 cm²

Step-by-step explanation:

you simply take (d1 × d2) / 2

and there you have it : )

(d = diagonals)

Can someone please help me. I’ll mark u brainiest.

Answers

Answer:

y = 240,000(1.048)^t

Step-by-step explanation:

Initial population: p = 240,000

Annual growth rate: 4.8% = 0.048

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 240,000(1 + 0.048)^t

y = 240,000(1.048)^t

What is the interest earned on $3,000 at a rate of 0.04 for 3 years? (Hint: Use the formula i = prt , where i represents the interest earned, p represents the principal, r represents the rate, and t represents the time.)

$3,360
$3,003.04
$360
$120

Answers

Answer:

$360

Step-by-step explanation:

You have to calculate the interest earned on $3,000, at the rate of 0.04 for 3 years.

P= $ 3000, R= 0.04 and t= 3 years.

3000 × 0.04 × 3= $360 (Answer)

Hope that helps

Have a good day :)

Answer:

$360.

Step-by-step explanation:

The interest earned on principal P, at the rate of r for the duration of t years is given by the equation I = Prt ........... (1)

Now, we have to calculate the interest earned on $3000, at the rate of 0.04 for 3 years.

Here, P = $3000, r = 0.04 and t = 3 years.

Hence, from equation (1), Interest earned, I = 3000 × 0.04 × 3 = $360 (Answer)

3(4x+5) = 12x+15 what does it equal?

Answers

Answer: AllRealNumbers

Step-by-step explanation:

1. Distrubute: 3(4x+5)=> 12x+15

2. Simplify: 12x+15=12x+15

=> 15=15

Since it cancels out it means that x can be any real number.

Have a nice day! :D

Simplify:

√3 (√3+x)


A. (3+x)√3

B. 2x√3

C. 3+x√3

(I'll mark brainliest if you explain and show your work)

Answers

Answer:

C

Step-by-step explanation:

[tex]\sqrt{3}[/tex] times [tex]\sqrt{3}[/tex] = 3 and [tex]\sqrt{3}[/tex] times x = [tex]\sqrt{3}[/tex]x

So that means that answer is 3+[tex]\sqrt{3}[/tex]x which is C

Explain the difference between an x and a y-intercept.

Answers

Step-by-step explanation:

so pretty much y= is the line that goes up and it has its own numbers right. the x= is the line that goes at the bottom right right

Price: $8.62 per 3 lb of strawberry
How much will it cost to buy 4.2 lb of strawberries? (Round to 2 decimal digits if necessary)

Answers

9514 1404 393

Answer:

  $12.07

Step-by-step explanation:

The cost is proportional to the weight, so we have ...

  dollars/pounds = c/4.2 = 8.62/3

Multiplying by 4.2 gives ...

  c = 4.2×8.62/3 = 12.068

The cost of 4.2 pounds of strawberries is $12.07.

WELL, I NEED HELP AGAIN 3.0

Answers

Answer:

up by 4 left by 2

Step-by-step explanation:

At Silver Gym, membership is $35 per month, and personal training sessions are $25 each. At Fit Factor, membership is $55 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
NEED IT FINISHED ASAP!!!!!!

Answers

Answer:

8 personal training sessions, 3 from Sliver Gym and 5 from Fit Factor.

Step-by-step explanation:

Alright, write the multiples of and 25 and 15 until both reaches the same number.

25, 50, 75

15, 30, 45, 60, 75

I don't really understand the final part of the question, but I hope it helps.

3 + 5 = 8

3 from Sliver Gym and 5 from Fit Factor.

If you invested $1,000 in an account
paying an annual percentage rate of
2.5%, compounded continuously, how
much would you have in you account
at the end of 10 years and 20 years?

Answers

10 years: $1250
20 years: $1500

Elena is feeding her neighbor’s dogs. Each dog gets 1/2 cup of dog food, and she uses 3 cups of food when she feeds them. How many dogs does her neighbor have?

Answers

Answer:

brainliest please

Step-by-step explanation:

6 dogs because 1/2 cup per dog 6 divided by 3 = 1/2 or 2

so2 dogs per cup

Joey is 5 feet tall and casts a 45-foot shadow. A building casts a 270-foot shadow at the same time. How tall is the building?

HELP FOR POSSIBLE BRAINLIEST

Answers

Answer:

the building is thirty feet tall

Step-by-step explanation:

so make a ratio of shadow to joey

5:45

simplify that to

1:9

so you can now divide 270 by nine

30

the building is thirty feet tall

I’ll give a Brainly thing please help

Answers

Answer:

Looks like true to me

Step-by-step explanation:

y = x +6

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