The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and $7,100 is collected. How many adults and how many children were at the fair?

Answers

Answer 1

Answer:

C = 580 children.

A = 420 adult.

Step-by-step explanation:

Let the number of children be C.

Let the number of adult be A.

Translating the word problem into an algebraic equation, we have;

A + C = 1000  .......equation 1

10A + 5C = 7100  .......equation 2

A = 1000 - C .......equation 3

Substituting eqn 3 into eqn 2, we have;

10(1000 - C) + 5C = 7100

10000 - 10C + 5C = 7100

10000 - 7100 = 10C - 5C

2900 = 5C

C = 2900/5

C = 580 children.

Now, to find the value of A.

From equation 3;

A = 1000 - C

A = 1000 - 580

A = 420 adult.


Related Questions

what's 200 - 300 ..
.....​

Answers

Answer:

200-300= -100

Step-by-step explanation:

hope u get it

Answer:

1. How are you in high school if you don't know how to solve simple equations like 200-300?

2. 200-300= -100

Step-by-step explanation:

Hope that this helps! :)

Solve for y
y - 2 = 2x

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

Add two to both sides.

escribe el número que corresponda a la escritura polinomica 8x10³+4x10²+0x10¹+9x10⁰​

Answers

Answer:

8409 es 8×10³ es 8 4×10² es 4 0×10¹ es 4 9×10⁰ es 9

Find the square root of 8281 using long division technique

Answers

Since 91 x 91 = 8,281, the square root of 8,281 is 91.
The square root Is 8,281 is 91

trigonometry help me for 25 points plz

Answers

Answer:

46

Step-by-step explanation:

Segment WX = 23 by the 30 60 90 triangle theorem which states that the longer leg is sqrt3 times the length of the shorter leg.

Segment XY = 26 by the 30 60 90 triangle theorem that states the hypotenuse is twice the length of the shorter leg

I need help.................

Answers

Answer:

-33 and -21

Step-by-step explanation:

-36, -33, -30, -27, -24, -21, -18

-36

-36 + 3 = -33

-33 + 3 = -30

-30 + 3 = -27

-27 + 3 = -24

-24 + 3 = -21

-21 + 3 = -18

The function f(x) = 350 - 125x represents how
many miles f(x) the helicopter is from its destination
after x hours.
a. f(1) = 225, interpret this value in terms of context.

Answers

After one hour, the plane is 225 miles from its destination

Answer:

The helicopter is 225 miles from its destination and will reach the destination in 1 hr.

Step-by-step explanation:

Find an answer to your question Using the triangle drawn below, determine the exact value of y. 45° trigonometry !

Answers

Step-by-step explanation:

hope this helps you

thank you

Which triangle makes this statement true?

Answers

Answer:

D

Step-by-step explanation:

they need the same angle measures and side lengths to be congruent. also you need to line up the angles of the same measure in each triangle in the name

Answer: D

Step-by-step explanation:

2) y= 4x - 2
3х + 2y = 7
in subsitutuion

Answers

Answer:

x=1

Step-by-step explanation:

Substitute the y equation for the variable y in the second question

3x +2(4x-2)=7

3x+8x-4=7

11x-4=7

11x=11

x=1

Round the fraction 2/9 to the nearest whole number.

Answers

The fraction 2/9 rounded to the whole number is 0

Answer:

0

Step-by-step explanation:

first you need to know what is 2/9 as a decimal. to find that you need to do 2 ÷9 which equals to 0.2222222222222 . then you round this to a whole number which is 0.

hope this helps . please give me a brainliest.

How are 3/6 and 4/8 equivalent? Just the fractions.

Answers

because half of 6 is 3 and half of 8 is 4 . what i means by this is that they are both half of something . hope that helps

Answer:

Step-by-step explanation:

3/6 = 1/2 and 4/8 = 1/2 so they are equal because 1/2 = 1/2

Help. Please open powerpoint and help me!

Answers

Answer:

30.4%

1000 at £1.10

1000 x 1.10 = £1100

35% of 1000 is given away

1000 - 35% = 1000 - 350 = 650 left

35% of £1100 = £385, subtract to get £715 pounds worth of pins left

650 are left, with 385 pounds lost

60% of 650 = 390 pins sold at £3 each

40% of 650 = 260 sold at £5 for 2

3 x 390 = £1170 made from the first lot

260/2 = 130 x 5 = £650 made from the second lot

£1170 + £650 = £1820 from sales

Sales - cost to make - losses (giveaways) = profit value

1820 - 1100 - 385 = 335 pounds of profit

To find the gross profit margin, we take the profit, and find what percentage of the production cost it is.

335 is about 30.45% of 1100

30.45%, which is 30.4% to 1 decimal place.

The user is not responsible for any errors and all care should be taken to validate answer by self before submission.

please help!!! Im very confused, giving brainleist

Answers

Answer:

For the boys box, the answer is 8.

For the Girls top box the answer is 18.

Step-by-step explanation:

81/ 72=1.125

9/ 8=1.125

18/16=1.125

Hope this helps! :)

A number is being multiplied by a power of 10. Find the number.

Enter your answers in the boxes.

Can you guys help me :D ty

Answers

Answer: a:7 b:36 c:4

Step-by-step explanation:

the exponents are the amount of 0s you put behind the number.

ex: 10 to the power of 4: 10,000, 4 zeroes.

2 ways that you can write 2%?

Answers

Answer:

2/100 and .02

Step-by-step explanation:

Answer:

0.02 and 2/100

Step-by-step explanation:

These two are some of the more simple ways to write 2%

describe what is happening in figures 1-3

Answers

Answer:

Step-by-step explanation: 1 you see white mice and grey mice 2 the bird goes for the white mice 3 the bird mainly ate the white mice ( i hope this helps you a little bit)

The event happening in figures 1-3 is that the bird is catching all the white mouse one by one.

What is image description?

Image description or picture discription is to figure out and express the image in the word form. In image description, one anlaze each point of the picture to identify that what is happning in it.

The given image has three part. Lets understands all the parts one by one.

In the figure number 1 there are 8 mouse in which 4 are white and 4 are black. In the figure number 2 the bird caught one white mouce and there are 7 mouse left on the land.In the figure number 3, ther are 2 more white mouse are missing. This concludes that bird is catching white mouse one by one.

Thus, the event happening in figures 1-3 is that the bird is catching all the white mouse one by one.

Learn more about the image description here;

https://brainly.com/question/561273

If the length of the legs of a right triangle are 5 m and 7 m, what is the length of the hypotenuse?

Answers

Answer:

[tex]c = 8.60232526704263[/tex]

[tex]c \approx8.6[/tex]

Step-by-step explanation:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {5}^{2} + {7}^{2} } [/tex]

[tex]c = \sqrt{25 + 49} [/tex]

[tex]c = \sqrt{74} [/tex]

[tex]c = 8.60232526704263[/tex]

[tex]c \approx8.6[/tex]

I’ll love u forever if u can help me with this ASAP PLZZZZ ;)

Answers

Answer:

the answer is A

Step-by-step explanation:

Because

Multiply the first equation by 2  

6x-y=18

Both side multiply 2

12x-2y=36

And then subtract the second equation form the result,

12x-2y=36

4x+2y=26

16x=62

x=3.8

simplify 4(8x+3y) pls help

Answers

Answer:

32x+12y

Step-by-step explanation:

trust me

Answer:

32x+12y

Step-by-step explanation:

4*8x = 32x

4*3y= 12y

The library started the yoar with 14,341 books. At the end of the first week
1456 books had been checked out. At the end of the second week 3,298
books had been checked out and 2,192 books had been returned. How many
books were in the library at the end of the second week?

Answers

Answer:

the answer is 11788 :) your welcome

HELP!!! Please I have a timer

Answers

The probability on club is 1 in 7. It is higher than expected

Hi you can answer this it is difficult for me​

Answers

9514 1404 393

Answer:

  see attachments

Step-by-step explanation:

a) A table lists the ordered pairs either by row or by column. In the attached, we have listed the x-values down a column, and the y-values the same way. (This way, we can use the same list for the map.) The table is the first attachment.

__

b) A graph is simply a plot of the given points. The graph is the second attachment.

__

c) A map is similar to a table, but with arrows pointing to the output value for a given input. The map is the third attachment.

Mary and Alice are playing a card game. Mary has 21 points. She has 9 points less than Alice.

How many points does Alice have?

Enter your answer in the box.


_______ points

Answers

I think Alice would have 30 points since 21 plus 9 is 30

Answer:

30

Step-by-step explanation:

I love math its my fav subject. Facts: P:21+9=30. The check, 30-9=21.

I RLY NEED HELP WITH THIS I WILL MARK BRAINLIEST!!!!

Answers

Answer:

20 is the total perimeter

Step-by-step explanation:

Answer:

6x + 2

Step-by-step explanation:

The area of a square is side length times itself.

In this problem, the area of one square is:

x², or x * x. So the side length of each square must be x.

In the rectangular shape, the area would be top * side. The side is equal to x because "side" is equal to the sides of the other squares (because a square's sides are all the same).

Plugging that into the equation, top * x = x, so the top must be 1.

There are 5 "full-length sides" on the two "full" squares on the left. Then, in the last skinny rectangle, there are two "tops", and one "full-length side".

Substitue the values of each side.

5x + 1 + 1 + x = 6x + 2

Hope this helps! If you have any questions, feel free to ask.

Alicia purchased H half-gallons of ice cream for $3.50 each and P packages of ice cream cones for
$2.50 each. She purchased 14 items and spent $43. Which system of equations could be used to
determine how many of each item Alicia purchased?
(1) 3.50H + 2.50P = 43 (3) 3.50H + 2.50P = 14
H+P = 14
H+ P = 43
(2) 3.50P+2.50H = 43
P+ H = 14
(4) 3.50P + 2.50H = 14
P+H = 43

Answers

Answer:

3.50H + 2.50P = 43

Step-by-step explanation:

Source: Trust me bro

Rewrite the function f(x)=4(x-2)²-8 in the form f(x)=ax²+bx+c.

Answers

Answer:

4[tex]x^{2}[/tex]-16x+8

Step-by-step explanation:

4(x - 2)(x - 2) - 8 = 4([tex]x^{2}[/tex] - 4x + 4) - 8 = 4[tex]x^{2}[/tex] - 16x + 16 - 8 = 4[tex]x^{2}[/tex] - 16x + 8.

Answer:

[tex]f(x) = 4x^2 -16x + 16[/tex]

Step-by-step explanation:

f(x)=4(x-2)² Simplify.

f(x) = 4x^2 - 16x + 16

Form f(x)=ax²+bx+c.

f(x) = 4x^2 - 16x + 16

What is true about the area of a circle given radius r, a rational number?
O Area of the circle is equal to its circumference.
O Area of the circle is irrational.
None of the above.
O Area of the circle is rational,

Answers

Good luck on the quiz!

Answer:

b

Step-by-step explanation:

A rectangular garden is 45 ft wide and 70 ft long. In a drawing, the width is 9 in. Identify the length on the drawing.​

Answers

Answer: the length in the drawing is 1.166666...ft or 14 inches.

Step-by-step explanation:

there are 0.75 ft in 9 inches, and 45/0.75=60. So, to find x you need to divide 70 by 60. :))

If you needed to answer in inches, I found my answer by dividing 45/9 which equals 5, so x=70/5. x=14 inches.

Answer:the other answer will explain all and the answer is 14in I had a quiz on it

Step-by-step explanation:

Find the slopes form two points (1, -2) and (3,-4)

Answers

Answer:

y=-x-1

Step-by-step explanation:

if points are (-1,-2) and (3,-4)

Answer:

slope intercept form:  y = -1/2x - 5/2  or  y = -0.5x - 2.5

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