An ice skating show earned 15,385 in one night. Tickets for the show cost $25 for adults and $15 for children. The number of adults who attendee the shw was 41 more than the number of children who attended the show. How many adults and children attended the show?

Answers

Answer 1

Answer:

Number of adults that attended the show = 400

Number of children that attended the show = 359

Total people who attended the show = 759

Step-by-step explanation:

Total earned = 15,385

Adults = $25

Children = $15

Let

Adults = A

Children = C

The number of adults who attendee the show was 41 more than the number of children who attended the show

A = C + 41

25A + 15C = 15,385

Substitute

A = C + 41

25(C+41) + 15C = 15,385

25C + 1,025 + 15C = 15,385

40C + 1,025 = 15,385

40C = 15,385 - 1,025

40C = 14,360

Divide both sides by 40

C = 14,360 / 40

= 359

C = 359

Substitute C = 359 into

A = C + 41

A = 359 + 41

= 400

A = 400

Number of adults that attended the show = 400

Number of children that attended the show = 359

Total people who attended the show = 759


Related Questions

Are 5xyz and 10xy like terms ? pls answer!

Answers

They are NOT like terms, as z multiplied to 5xy is not multiplied to 10xy in the same way

Answer:

No

Step-by-step explanation:

5xyz and 10xy are not like terms because 5xyz has a z and 10xy doesn't. Like terms always have the same variables.

A man drove his car a distance of 366 miles in 6 hours. If continuing at this rate is possible, he will travel miles in 7 hours

Answers

Answer:

its 427 since 366 divided by 6 is 61 and thats the rate multiply it by the hours so its 42

Answer: 427 miles

Step-by-step explanation:

You simply divide 366 by 6,

Then, multiply that number by 7

366/6 = 61

61 * 7 = 427

Can anybody help me please with question 2 please and thank you .I would really appreciate it so much. Please and thank you

Answers

Answer:

See below.

Step-by-step explanation:

See image for labels (labels are in blue).

  Statements:                                              Reasons:

1) [tex]T\text{ is the midpoint of } \overline{ZC}[/tex]                            Given

2) [tex]\overline{GT}\perp\overline{ZC}[/tex]                                                  Given

3) [tex]\angle GTZ\text{ and } \angle GTC\text{ are right angles}[/tex]          Def. of Perpendicular Lines

4) [tex]\overline{ZT}\cong\overline{TC}[/tex]                                                 Def. of Midpoint

5) [tex]\angle GTZ\cong\angle GTC[/tex]                                      Right Angles Are Congruent

6) [tex]\overline{TG}\cong\overline{TG}[/tex]                                                 Reflexive Property

7) [tex]\Delta TGZ\cong\Delta TGC[/tex]                                     SAS Congruence

And we're done!

Answer:

Sorry that looks a bit confusing though

Step-by-step explanation:

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Draw and label the dimensions of a scale drawing of Elena's bedroom, using a scale of 1 to 50. Elena's bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know. Elena's bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed? How would I draw this out

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Actual length of rectangular bedroom = 5m

Actual width of rectangular bedroom = 3m

Scale = 1 to 50

Scaled length of bedroom = 5m/50 = 0.1m = 0.1 * 100= 10cm

Scaled width of bedroom = 3m/50 = 0.06m = 0.06 * 100= 6cm

If width of door = 0.8m wide

Scaled width of door : 0.8m/50 = 0.016m = 0.016 * 100 = 1.6cm

Bed measures : 4cm by 3cm on scale drawing ;

Actual bed dimension:

4cm * 50 = 200cm ; 200/ 100 = 2m

3cm * 50 = 150cm ; 150 / 100 = 1.5m

Is (-3,2,5) a solution to the following system of equations? *
x – 3y + z = 21
3x + 2y – 5z = -30
2x - 5y + 2z = -6

Answers

Its is not a solution to the first but it is to the second third equations.

Show work on y=-4x-1
Find the slope

Answers

m=-4. Or atleast that’s what I’ve heard.

A metal worker has 57 grams of an alloy that is 37% gold. She also has a large supply of an alloy that is 17% gold. How many grams of the 17% gold alloy does she need to add to the 37% gold alloy to obtain an alloy that is 25% gold? Write your answer as a whole number or as a decimal rounded to the nearest tenth.

Answers

Answer:

85.5 grams of 17% gold alloy is added.

Step-by-step explanation:

A metal worker has 57 grams of an alloy that is 37% gold.

And let x grams of an alloy which is 17% gold.

Let's add them to get 25% of (x+57)grams of alloy.

So, we can set up equation as

57(37%) +x(17%) =(x+57)(25%)

Simplify and solve the equation for x.

21.09+0.17 x=  0.25 x+14.25

Subtract both sides 0.25 x

21.09-0.08 x =14.25

Subtract both sides 19.95

-0.08 x=-6.84

Divide both sides by -0.08

x=85.5 grams

What is -y + y.............

Answers

The answer is 100% y

Answer:

the answer would be 0

75g of flour and 135 ml of milk are used to make 12 biscuits. How much flour is needed to make 30 biscuits?

Answers

The answer is 187 1/2 cups. You have to divide 75 by 12 to get how much flour is in 1 biscuit and you multiply that by 30

For each 12 mm of coloured fabric Sarah uses to make her curtains, she also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.

Answers

Answer:

3:5 mm

Step-by-step explanation:

2 cm = 20 mm. the answer will be 12:20 simplified will be 6:10 that simplified will be 3:5. so yeah

HELP PLEASE ASAP DUE AT MIDNIGHT!!!!!!!!!

Answers

Step-by-step explanation:

20) <

21) <

22)-20,√26,√35,13.5

23)-5.25,3/2,√6,5

24)4³=64

5³=125

perfect squares between them:

8²=64

9²=81

10²=100

11²= 121

The following is the correct way to show the product for 0.297 times 7.1

Answers

Answer:

True

Step-by-step explanation:

True

No, This is not the correct way to solve the product of 0.297 and 7.1.

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.

Given that;

To solve the product for 0.297 times 7.1.

So, The product for 0.297 times 7.1 is,

⇒ 0.297 × 7.1 = 2.1087

But here the product for 0.297 times 7.1 is 21.087.

So, This is not the correct way.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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This sounds dum but I don't know what the line on top is for. (step-by-step explanation would be appreciated)

Answers

Answer:

C: 5/11

Step-by-step explanation:

The top line over the numbers usually mean the numbers are recurring (occurring again and again)

So 0.45 with the dash over the 45 means 0.454545454545... (goes forever, hence why we use the dash)

To solve you convert each option to a decimal and find one that has 0.45 recurring.

A: 4/5 =0.8

B: 5/9 = 0.55...

C: 5/11 = 0.45...

D: 4/9 = 0.44...

Hence, our answer is C.

Answer: It means that the numbers the bar is over repeats. Answer is C

Step-by-step explanation:

For example:

Example 1: [tex]0.123 \overline {4}[/tex] → The bar is only over the number 4 so only the number 4 repeats. [tex]0.123 \overline {4} = 0.123444444444444444444444...[/tex] with the number 4 repeating forever.

Example 2: [tex]0.12 \overline {34}[/tex] → This time the bar is over the 3 and the 4, so 34 and 4 repeat.  [tex]0.12 \overline {34} = 0.12343434343434...[/tex]

Example 3: [tex]0.1 \overline {234}[/tex] = 0.1234234234234234234...

Example 4: [tex]0. \overline {1234}[/tex] = 0.123412341234123412341234...\

To solve your problem, it will be easiest to use a calculator and test each answer.

Choice A:  [tex]\frac{4}{5} = .8 \neq . \overline{45}[/tex]

Choice B: [tex]\frac{5}{9} = 0.55555556 \neq 0. \overline{45}[/tex]

Choice C: [tex]\frac{5}{11} = 0.454545454545... = 0. \overline {45}[/tex]

Choice D: [tex]\frac{4}{9} = .44444444444... = 0. \overline {4} \neq 0. \overline {45}[/tex]

The Correct Answer is Choice C

What is the length rounded to the nearest whole number? (length = 25.15 ft) *

Answers

Answer:

25

Step-by-step explanation:

Ricky is inviting 8 friends to a party. If each friend will get 6 cookies and in each box are 10 cookies, how many boxes will Ricky need to get?

Answers

Answer:

5

Step-by-step explanation:

8 times 6 is 48. 5 boxes times 10 in each one is 50 cookies.

Number of boxes Ricky needs to get to a party is equals to 5 boxes.

What is word problem?

" A word problem is a mathematical problem in which we represents the real life examples with the help of mathematical operation."

According to the question,

Number of friends invited in a party = 8

Number of cookies given to each friend = 6

Total number of cookies required for 8 friends = 8 × 6

                                                                             = 48 cookies

Number of cookies in each box = 10 cookies

Number of boxes for 1 cookie = 1 / 10

Number of boxes for 48 cookies = (1 / 10) × 48

                                                      =  4.8

                                                      = 5 boxes (Number of boxes cannot be    

                                                                             in decimals)

Hence, number of boxes Ricky needs to get to a party is equals to 5 boxes.

Learn more about word problem here

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If 1 – 2i is a root of 3x2 + ax + b = 0, find the value of b.​

Answers

Answer:

a=−(1+1)=−2  

b=(1+1)=2

Step-by-step explanation:

Choose an equivalent expression for 123 • 129 • 124 • 122.

Answers

Answer:

Like what type of expression? And Is it for all the numbers at once, or is it each number separately?

Step-by-step explanation:

I NEED HELP PLEASE ITS DUE AT 1:00am

Answers

Answer:

5(4) + 5(8)

Step-by-step explanation:

Distributive property is a(b + c) = ab + ac. The beginning value distributes to the other values inside the parentheses. Hope this helped!

Can someone help, I don’t know what I’m doing wrong.

Given the following least-squares regression line, how many seconds does this model predict a 7-foot pendulum would take to complete one period?

Answers

Answer:

the answer is the 1 with the check on it

11.2 seconds given model predicts a 7-foot pendulum that would take to complete one period.

The correct answer is option (D)

What is regression?

"It is statistical model which is used to determine the relationship between variables."

What is least square method?

"The least squares method is a mathematical regression analysis used to determine the line of best fit for a set of data."

Logarithm property:

If log x = b, then x = (10)^b

Given : the least-squares regression line,

log Time = 0.699 + 0.500 log(Length)

We need to find the time when given model predict a 7 foot pendulum would take to complete one period.

Here, Length = 7 ft

Using given model,

⇒ log Time = 0.699 + 0.500 log(7)

⇒ log Time = 0.699 + (0.5 × 0.8451)

⇒log Time = 0.699 + 0.423

⇒ log Time = 1.122

⇒ Time = [tex]10^{1.122}[/tex]

Time = 13.2 seconds

Therefore, the correct answer is option (D) 13.2 seconds.

Learn more about least-squares regression here:

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If you are buying at item at a store for a price of $21, and there is a 8.7% tax added on top, what would be the total amount due at the register, to the nearest cent?

Answers

Answer:

22.83 I think

Step-by-step explanation:

what is -21222 divided by -34627?

Answers

Answer:

0.6128743466

Step-by-step explanation:

Answer:

0.6128743466

Step-by-step explanation:

[tex]\frac{-21222 }{-34627}[/tex] =0.6128743466

Negative divided by a negative makes the answer positive

Help me out look at the picture I wanna go to sleep

Answers

Answer:

It's B

Step-by-step explanation:

hope that helps :)

and go to sleep already <3

Answer:

B

Step-by-step explanation:

solve 3-(3x-4)=2x+3(3x-7)
pls help and show steps will mark brainliest

Answers

Answer: x=2

Step-by-step explanation:Step 1: Simplify both sides of the equation.

3−(3x−4)=2x+3(3x−7)

3+−1(3x−4)=2x+3(3x−7)(Distribute the Negative Sign)

3+−1(3x)+(−1)(−4)=2x+3(3x−7)

3+−3x+4=2x+3(3x−7)

3+−3x+4=2x+(3)(3x)+(3)(−7)(Distribute)

3+−3x+4=2x+9x+−21

(−3x)+(3+4)=(2x+9x)+(−21)(Combine Like Terms)

−3x+7=11x+−21

−3x+7=11x−21

Step 2: Subtract 11x from both sides.

−3x+7−11x=11x−21−11x

−14x+7=−21

Step 3: Subtract 7 from both sides.

−14x+7−7=−21−7

−14x=−28

Step 4: Divide both sides by -14.

−14x

−14

=

−28

−14

x=2

The length of a rectangular room is 7 feet longer than twice the width. If the room's perimeter is 146 feet what are the room's dimensions?
Width - 22 ft: length - 51 ft
Width - 33 ft: length - 40 ft
Width - 27 ft: length - 61 ft
Width - 44 ft: length - 102 ft

Answers

Answer:

width- 22ft : length-51 ft

Step-by-step explanation:

if you add 22+22 its 44 +7 it will give you 51.

that is twice the width+ the 7 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

What is the perimeter of the rectangle?

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular room is 7 feet longer than twice the width. Then we have

L = 2W + 7

If the room's perimeter is 146 feet. Then the dimension of the rectangle will be

P = 2(L + W)

146 = 2(2W + 7 + W)

73 = 3W + 7

3W = 66

W = 22 feet

Then the length of the rectangle will be

L = 2 x 22 + 7

L = 44 + 7

L = 51 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

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Find the slope of the line between (1995, 5.4) and (2014, 11.8)

Answers

Answer:

[tex](19,6.4)[/tex]

Step-by-step explanation:

[tex](x^2-x^1)[/tex],[tex](y^2-y^1)[/tex]

so it would look like

[tex](2014-1995)[/tex],[tex](11.8-5.4)[/tex]

then

[tex](19)[/tex],[tex](6.4)[/tex]

or

[tex](19,6.4)[/tex]

can someone help plz

Answers

The measure of the PRS angle is : 99°

_________________________________

The length of the x is : 18

So the B is the correct answer.

write an equation of the quadratic function that has x-intercepts 5-i√2 and 5+i√2

Answers

Answer:

f(x) = x² - 10x + 27

Step-by-step explanation:

Given the x- intercepts of f(x) are x = a and x = b, then the factors are

(x - a) and (x - b) and f(x) is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the x- intercepts are 5 - i[tex]\sqrt{2}[/tex] and 5 + i[tex]\sqrt{2}[/tex] , thus the factors are

(x - (5 - i[tex]\sqrt{2}[/tex] )) and (x - (5 + i[tex]\sqrt{2}[/tex] )) , that is

(x - 5 + i[tex]\sqrt{2}[/tex]) and (x - 5 - i[tex]\sqrt{2}[/tex] , then

f(x) = (x - 5 + i[tex]\sqrt{2}[/tex] )(x - 5 - i[tex]\sqrt{2}[/tex] ) ← expand using FOIL

     = (x - 5)² - 2i² ← i² = - 1

     = x² - 10x + 25 + 2

     = x² - 10x + 27

Andre wants to buy a $230 MP3 player. He has $50 and will save $30 per month. Write an equation in slope intercept form to determine how much Andre will have to save.

Answers

Answer:

Step-by-step explanation:

A=230

230-50=180

He will have to save 180

He can save 180 in :

180:30=6 mounths

Answer:

y=30x+50

Step-by-step explanation:

he has a base number of 50 dollars starting out (b) and he will gain 30$ once a month (x)

y = 5x - 2 if x=2 what does y=?

Answers

Answer:

y=8

Step-by-step explanation:

y= 5(2) -2

y= 10-2

y=8

Answer:

y=8

Step-by-step explanation:

i dont have a step by step

⚠️⚠️ ANSWER PLEASE question in image ( please explain ? ? )⚠️⚠️

Answers

Answer:

i cant see the picture

Step-by-step explanation:

sowey

Answer:

(0,-2)

Step-by-step explanation:

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