The admission fee at a local zoo is $1.50 for children and $3.00 for adults. On a certain day, 2400 people enter the zoo and $4,800.00 is collected. How many children and how many adults?​

Answers

Answer 1

Answer:

Step-by-step explanation:

c = children

a = adults

2200 people enter the zoo mean :

c + a = 2200

$4,550.00 is collected mean :

1.5 c + 4 a = 4550

Now you must solve system:

c + a = 2200

1.5 c + 4 a = 4550

c + a = 2200 Subtract c to both sides

c + a - c = 2200 - c

a = 2200 - c

1.5 c + 4 a = 4550

1.5 c + 4 ( 2200 - c ) = 4550

1.5 * c + 4 * 2200 - 4 c = 4550

1.5 * c + 8800 - 4 c = 4550

- 2.5 c + 8800 = 4550 Subtract 8800 to both sides

- 2.5 c + 8800 - 8800 = 4550 - 8800

- 2.5 c = - 4250 Divide both sides by - 2.5

c = - 4250 / - 2.5

c = 1700

a = 2200 - c = 2200 - 1700 = 500

1700 children and 500 adults

Proof :

c + a = 1700 = 2200

$ 1.5 * c + $ 4 * a =

$ 1.5 * 1700 + $ 4 * 500 =

$ 2550 + $ 2000 = $ 4550

Answer 2

The number of children and the number of adults are 1600 and 800, respectively.

What is the solution to the equation?

The allocation of weights to the relevant variables that produce the calculation's optimum is referred to as a direct consequence.

A nearby zoo charges $1.50 for kids and $3.00 for adults to enter. 2400 persons visit the zoo on a certain day, and $4,800.00 is gathered.

Let x be the number of children and y be the number of adults. Then the equation is written as,

x + y = 2400           ...1

1.5x + 3y = 4800

x + 2y = 3200    ...2

Subtract equation 1 from equation 1, then

2y - y = 3200 - 2400

y = 800

Then the value of x is calculated as,

x + 800 = 2400

x = 2400 - 800

x = 1600

The number of children and the number of adults are 1600 and 800, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Related Questions

what is the measure of angle x

Answers

Answer:

180

Step-by-step explanation:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

Circles C and C′ are similar. State the translation rule and the scale factor of dilation.

Question 12 options:


A) To obtain C′, circle C is translated to the right four units and down three units and is dilated with a scale factor of one.


B) To obtain C′, circle C is translated to the left three units and up two units and is dilated with a scale factor of 1∕2.


C) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of one.


D) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of two.

Answers

I think it’s B, I’m not sure tho, but I think it’s B from my old lessons

paul is chrome plater at a local plant. if he plates 300 items or more, he is paid $1.25 each. for less than 300 items, he is paid $0.75 each. what is his total pay if he plates 321 items on Wednesday and 154 items on Thursday?

Answers

Answer:

Step-by-step explanation:

Use set builder notation to write the set E= {1, 3, 9, 27}

PLEASE NO SPAMMING I NEED AN ANSWER NOW​

Answers

Answer:

E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }

Step-by-step explanation:

Given set:

E = {1, 3, 9, 27}

We observe that:

1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³

Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.

Set builder notation:

E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }
E={1,3,9,27}

Here let's observe

1=3^03=3^19=3^227=3^3

So set builder form:-

[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]

HELPPP LAST ATTEMPT!!

Answers

Answer:

(0,4) is the answer hope it helps

I think it’s 0,4 if wrong check on Desmos

Simplify the following. . .
5x + 5 = 10

Answers

Answer:

5x+5=10

5x=10-5

5x=5

x=5/5

x=1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for x ~

[tex]5x + 5 = 10[/tex]

[tex]5x = 10 - 5[/tex]

[tex]5x = 5[/tex]

[tex]x = 5 \div 5[/tex]

[tex]x = 1[/tex]

therefore, value of x = 1 ~

w+2/2 + 2 = w-5/3 solve for w

Answers

Answer:

w = -28

Step-by-step explanation:

[Given] w+2/2 + 2 = w-5/3

[Rewrite] [tex]\frac{w+2}{2} +2=\frac{w-5}{3}[/tex]

[Break up fraction] [tex]\frac{w}{2}[/tex] + [tex]\frac{2}{2}[/tex] + 2 = [tex]\frac{w-5}{3}[/tex]

[Combine like terms] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w-5}{3}[/tex]

[Break up fraction #2] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w}{3}[/tex] + [tex]\frac{-5}{3}[/tex]

[Add [tex]\frac{-5}{3}[/tex] to both sides] [tex]\frac{w}{2}[/tex] + [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex]

[Subtract [tex]\frac{w}{2}[/tex] from both sides] [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex] -  [tex]\frac{w}{2}[/tex]

[Common denomiator of 6] [tex]\frac{14}{3}[/tex] = [tex]\frac{2w}{6}[/tex] - [tex]\frac{3w}{6}[/tex]

[Subtract #2] [tex]\frac{14}{3}[/tex] = [tex]\frac{-w}{6}[/tex]

[Multiply both sides by 6] 28 = -w

[S ubtract 28 from both sides & add w to both sides] w = -28

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

You have 2.567 grams of water. What is the volume of water(use correct units)

Answers

Answer:

16

Step-by-step explanation:

16 grams

What is the range for this data set?
22, 7, 14, 13, 38, 12, 19,
17, 49, 13, 9, 18, 36​

Answers

Answer:

from 7 to 49 or (7, 49)

Step-by-step explanation:

Range means the limit of the data set. Basically, the low part of the range is the lowest number in the set and the high part of range is the highest part.

Azad wants to Buy a book he has 25,000 dinars which is 9000 dinars less than she needs does the book cost 34,000 Dinars or 16,000 dinars

Answers

Answer: 34,000 Dinars

Step-by-step explanation: As 25,000 + 9000 is 34,000

g Let x=(5,2,4)Tx=(5,2,4)T and y=(3,3,2)Ty=(3,3,2)T. Compute ‖x−y‖1,‖x−y‖2‖x−y‖1,‖x−y‖2, and ‖x−y‖[infinity]‖x−y‖[infinity]. Under which norm are the two vectors closest together? Under which norm are they farthest apart?

Answers

By definition of the [tex]\ell_p[/tex] norm,

[tex]\|x-y\|_1 = \displaystyle \sum_{i=1}^3 |x_i-y_i| = |5-3|+|2-3|+|4-2| = \boxed{5}[/tex]

[tex]\|x-y\|_2 = \displaystyle \left(\sum_{i=1}^3 |x_i-y_i|^2\right)^{\frac12}= \sqrt{|5-3|^2+|2-3|^2+|4-2|^2}= \sqrt9= \boxed{3}[/tex]

[tex]\|x-y\|_\infty = \max\limits_{i} |x_i-y_i| = \max\left\{|5-3|,|2-3|,|4-2|\right\}=\boxed{2}[/tex]

and so x and y are closest together with p = infinity and furthest apart with p = 1.

100 pointer question here

Answers

Answer:

See attached

Expressions matching the properties

The associative property:

a + b = b + aab = ba

The commutative property:

a + (b + c) = (a + b) + c

Distributive property:

a(b + c) = ab + ac

A parabola can be drawn given a focus of (-11, -4) and a directrix of x=11. Write the equation of the parabola in any form.

Answers

Answer:

Step-by-step explanation:

This will open to the left and the vertex will be at (0, -4).

Equation us (y + 4)^2 = -4*-11x

44x = (y + 4)^2

S5 when sn = 19 − 3n

Answers

Answer:

[tex]s(5)=4[/tex]

Step-by-step explanation:

I assume you mean this:

[tex]s(n)=19-3n[/tex]

Plug 5 in for n and solve:

[tex]s(5)=19-3(5)\\s(5)=19-15\\s(5)=4[/tex]

A study found that 85% of sports business executives surveyed believed that sponsor development of ________ in new venues will be a benefit of top-tier sponsorships in coming years.

Answers

sports. it makes sense

Activity 1: Directions: Convert the following to the indicated unit of measures. 1. 4 gal. = _________quarts 2. 1,400 feet = ______miles 3. 16 hours = _______ min 4. 16 cups = ______pints 5. 1.6 miles = _______ yards

Answers

The conversion of the following values to their desired units are as follows:

4 gal = 16 quarts1400 feet = 0.2651516 miles 16 hours = 960 mins16 cups =  8 pints1.6 miles = 2816 yards

The dimension analysis shows the relation of different physical quantities by converting them from one unit to another.

According to the standard conversion rates:

1 gallon (gal) = 4 quarts1 foot = 0.000189394 mile1 hour = 60 minutes1 cup = 0.5 pints1 mile = 1760 yards

1.

4 gallons will be:

= (4 gal × 4 quarts)/1 gal

= 16 quarts  

2.

1400 feet will be:

= (1400 foot ×  0.000189394 miles)/ 1 foot

= 0.2651516 miles

3.

16 hours will be:

= (16 hours × 60 mins)/ 1 hour

= 960 mins

4.

16 cups will be:

= (16 cups × 0.5 pints)/1 cup

= 8 pints

5.

1.6 miles will be:

= (1.6 miles × 1760 yards)/ 1 mile

= 2816 yards

Learn more about conversion rates here:

https://brainly.com/question/13129151?referrer=searchResults

17. The price of napkins and the number of napkins is listed in the table below.
Number of
Price of
Napkins (1) Napkins (p), in
cents
200
140
300
210
400
280
500
350
600
420
Letp represent the price of the napkins and the number of napkins. Which equation shows the
relationship between the price of napkins and number of napkins?
A.pn=7C.pn=0,7
B.np = + 70 D.pn = +100

Answers

Answer:

The question is very nice.

,Iike it.

1. In a scale drawing of a statue the scale is 1 in. = 1 foot. If the scale drawing is 9 in., how tall is the statue? 12 feet 4.5 feet 9 feet 18 feet4

Answers

Answer:

9 feet

Explanation :

9 feet beacause

1 in. = 1 foot so 9 in. = 9 feet

Is 1.05 greater than or less than 1.3

Answers

1.05 is less than 1.3 because the value in the tenths place in 1.05 is less than the one that’s in 1.3!!

The larger number is obtained as 1.3.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 1.05 and 1.3.

The decimal 1.3 can be written as 1.30.

Now, the two decimals can be compared as below,

1.05 and 1.30

Both the decimals have equal integer part.

Digit at tenths of 1.05 is 0 and for 1.30 is 3.

Since, 3 > 0.

⇒  1.30 > 1.05

Hence, 1.3 is greater than 1.05.

To know more about decimal number click on,

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Kinetic energy is described as. The answers are elastic. movement. Decreasing energy. Stored energy.

Answers

Answer:

c

Step-by-step explanation:

Mrs. Smith’s class raised a total of 994 silkworms, and 523 of them turned into moths about how many silkworms did not turn into months choose the better estimate

Answers

Answer:

471 that's the answer

Step-by-step explanation:

994 - 523 =471

solve this question

Answers

Answer:

what... how

Step-by-step explanation:

Find x value
[tex] {x}^{3} + {x}^{2} + 8x + 12 = 0[/tex]
?? ​

Answers

step -1

Changes made to your input should not affect the solution:

Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).

x3+x2-8x-12 is not a perfect cube

Factoring: x3+x2-8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)

Need to know this, please help

Also no links or wrong answers

Answers

Add up all the scores and divide it by 8

If 3 bananas cost of 50 cents, how many bananas can be bought for 20 dollars?

Answers

Answer:

120 bananas

Step-by-step explanation:

$20 = 2000 cents

Create a proportion:  

Cross multiply, then divide: 3 × 2000 = 6000, 6000 ÷ 50 = 120

So, you can buy 120 bananas for $20

hope this helps

There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen

Answers

Answer:

45

Step-by-step explanation:

This is a combination question: how many ways can you pick 2 people from a group of 10?

Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...

[tex]C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45[/tex]

Help help me help help

Answers

The co ordinates of M would be (-2,6)

Plsss help I will give you the branlyest answer​

Answers

Answer:

4 1/4 is the answer u want

Two numbers are in the ratio 7:10 If the larger number is 140,what is the smaller number ​

Answers

Given that nos. are in ratio 7:10

The larger no. is 140

Let the smaller no. be x

Using ratio and proportion

7 : 10 :: x : 140

⇒10 × x = 140 × 7

[tex]⇒x = \frac{140 \times 7}{10} = 98 \\ [/tex]

- BRAINLIEST ANSWERER

Answer:

[tex] \frac{7}{10 } = \frac{x}{140} [/tex]

[tex] \frac{7 \times 140}{10 \times x} [/tex]

[tex] \frac{980}{10} [/tex]

[tex]98[/tex]

ANSWER IS 98

98 IS THE SMALLEST NUMBER

What is the value of x in the solution to this system of equations?
y = x + 1
y = 5x + 13

Answers

Step-by-step explanation:

y=x+1

y=5x+13

=13x/1

=5x/x

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