The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo

Answers

Answer 1

Answer:

51 adults and 193 children

Step-by-step explanation:

Number of children = c

Cost for c children = c*4 = 4c

Number of adults = a

Cost for a adults = 6a

Total people = 244

a + c = 244  ---------------(I)

   a = 244 - c ----------(II)

Cost for 244 people =  $ 1078

6a + 4c = 1078 -------------(III)

Substitute a = 244 - c in equation (III)

6*(244 - c) + 4c = 1078

1464 - 6c + 4c = 1078

1464 - 2c = 1078

         -2c = 1078 - 1464

        -2c = -386

           c =  -386/-2

c = 193

a = 244 - 193

a = 51


Related Questions

Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay?

Answers

Answer:

$2.34

Step-by-step explanation:

30x0.078=2.34

A rocket sled accelerates from 10 m/sec to 50 m/sec in 2 seconds. What is the acceleration of the sled?

Answers

Answer:

50

Step-by-step explanation:

on edge

Helpppppppppppppppppppp

Answers

It would be B because the x intersects at -1, and 3

Help fast, please!!!!!!!!!!!!!!

Answers

Answer: 25% or B

Step-by-step explanation:

1. Money in November - Money in October

2. 50 - 40 = 10 dollars increased

3. 10/40 = 0.25 or 25%

what is the slope of the line graphed on the coordinate plane

Answers

Answer:

The slope = 3/4

Step-by-step explanation:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m=\frac{6-3}{2-(-2)}=\frac{6-3}{2+2}[/tex]

m = 3/4

. A rectangular trunk has a volume of 28,600 cubic inches. The trunk is 50 inches long by 22 inches wide. What is the trunk’s height

Answers

I’ve attached my woRk, hope it helps!

What is the slope of the line that passes through the points (3, 7), (9, 19) and (5, 11)?

Answers

Answer:

the slope is 2

Step-by-step explanation:

use the slope formula which is y2-y1/x2-x1

PLEASE PLEASE HELP THANK YOU SO MUCH

Answers

Answer:  x => 12.8 cm

13 and 13.5

Step-by-step explanation:

The area is equal to or greater than 154 cm^2:

A [tex]\geq[/tex] 154 cm^2

Assume a minimum of 154 cm^2 and calculate the area of a rectangle having a width of 12 cm.  Let x be the length of the rectangle, so that:

(12)*x = Area

Area => 154 cm^2

(12)*x  => 154 cm^2

x => (154/12cm) cm^2

x => 12.8 cm

13 and 13.5 will both meet the criteria.

Which of the following is a correct equation for the line passing through the
point (-1,4) and having slope m= -3?
Check all that apply.
V=-
O A.
-*-3
B. 3x+y=1
O c. y= - 3x + 1
D. 7–4= – 3(x+1)
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

m = -3

y = mx +b

y = -3x + b

Plugin x = -1 and y = 4

4 = -3*(-1) +b

4 = 3 + b

4-3 = b

b = 1

y = -3x + 1

Answer:

B, C, D

Step-by-step explanation:

The equation of a line in point slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b ) = (- 1, 4 ) , then

y - 4 = - 3(x - (- 1) ) , that is

y - 4 = - 3(x + 1) → D

Distribute parenthesis

y - 4 = - 3x - 3 ( add 4 to both sides )

y = - 3x + 1 → C

Add 3x to both sides

3x + y = 1 → B

Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37

Answers

Answer:

0.2

Step-by-step explanation:

     We will divide the number of girls who prefer burgers by the number of students

       [] 5 + 5 + 6 + 4 + 7 + 3 = 30

       [] 6 / 30 -> 0.52

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

b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).

Answers

Answer:

y = 2x + 13 or -2x + y = 13

Step-by-step explanation:

1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...

2y = -x + 6 - > y = -1/2x + 3

2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...

y = 2x + b

3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)

3 = 2(8) + b

3 = 16 + b

-13 = b

b = 13

4) Now, we know that b = 13 and the slope is 2. Therefore...

y = 2x + 13

Also note, if you want this equation in standard form, it would be...

-2x + y = 13

please solve the question

Answers

Cannot see the question

Which expression is equivalent to 21 x + 35 y – 14 = 0?
y = x + 2
B y = x – 7
C y = -x + 14
D 3x + 5y = 2

Answers

Answer:  D:  3x + 5y = 2

Step-by-step explanation:

D.  Divide 21 x + 35 y – 14 = 0 by 7 to get:

                  3x  +   5y   -2   = 0

Rearrange:  3x + 5y = 2

- 3/4(12x+16)<9-5x Show your work

Answers

Answer:

x > -5.25

Step-by-step explanation:

kelsey bought a new jackat. the jackat costs $ 150.00 she will pay 7% in sales tax how much money will she pay in sales tax

Answers

Answer:

10.50

Step-by-step explanation:

Answer:

she will pay $10.50 in sales tax and $160.50 in total

Step-by-step explanation:

first, find 7% of 150.

150*.07=10.5

add 10.5 to the total

A triangle has two sides of length 7.2 and 11.6. What compound inequality describes the possible lengths for the third side, x?
Write a compound inequality like 1

Answers

Answer:

4.4 < x < 18.8

Step-by-step explanation:

11.6 - 7.2 = 4.4

11.6 + 7.2 =18.8

Question and answer choices are in the SS attached!!!! Pls help me! ty!

Answers

Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = [tex]\sqrt{592}[/tex]

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

Solve for x.
x+ 26
3x - 32
x = [?]
= [
Enter

Answers

Answer:

29x

29

Step-by-step explanation:

x+26

3x-32

x=26

=29

1.
Use the quadratic function to predict y if x equals 6.

y = 2x^2 − 2x − 2

A. y = −58

B. y = −60

C. y = 60

D. y = 58

Answers

Answer:

D. y = 58

Step-by-step explanation:

Answer:

The value of the polynomial   is 58 for x = 6.

Step-by-step explanation:

Here, the given quadratic function polynomial is given as:

or,  

Now, to find the value of y, when x = 6

⇒  

                 = 2(36 - 6 -1)  = 2(29)  

                 = 58

⇒y(6)  = 58

Hence, the value of the given polynomial   is 58 for x = 6.

If you sell 225 shares of Dryas Security at $5. 12 per share and 340 shares of Cilla Shipping at $12. 43 per share, how much money will you receive, to the nearest dollar? a. $1,152 b. $5,378 c. $4,226 d. $3,074.

Answers

Answer:

the answer to your question Is B $5,378

help please!!
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Answers

Step-by-step explanation:

1 not function

2 function

3 not function

4 function

ihope it helps

Find any four rational numbers between -2 and -1​

Answers

Answer:

-19/10, -18/10, -17/10, -16/10

Step-by-step explanation:

Four Rational numbers between -2 and -1 are:-

-1.9,-1.8,-1.7,-1.6

=> -19/10, -18/10, -17/10, -16/10

Answer:

-1.72, -1.8, -11/8, -29/20.

Step-by-step explanation:

Write the recursive and explicit formulas for the given sequence 4, 7, 10, 13

recursive formula: explicit formula:

a,1 = a,n =

a,n =

Answers

Answer:

the answer to your question is 45 over 6

Answer:

45/6 or simplified 15/2

Step-by-step explanation:

which symbol would best replace the question mark below​

Answers

Answer:

C?

Step-by-step explanation:

PLEASE HELP!

Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.

∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?

DE = ______ m∠E = ________

Answers

Answer:

DE = ____24__    m∠E = ____22____

Step-by-step explanation:

I hope this helps

solve pls brainliest

Answers

Answer:

0.28 repeating- yes, this is a repeating decimal

0.74...- yes, this is a repeating decimal

0.3162..- no, this is a decimal that neither terminates nor repeats

0.816..- yes, this is a terminating decimal

Step-by-step explanation:

Terminating decimals:

a decimal that comes to an end, has a finite number of decimal placescan be expressed/written as a fraction Example: 0.25

Repeating decimals:

a decimal that has has digit/digits that repeat over and over (go to infinity)can be expressed/written as a fractionexample: 0.333333333...

Non-terminating, Non-repeating decimals:

a decimal number that continues on forever with no group of digits being repeated (the digits are basically randomized)cannot be expressed/written as a fractionexample: π

Two people agree to meet at a given time, but they are both late. the amount of time that they are late is a random variables uniformly distributed between 0 and 10, in minutes. Additionally, the amounts of time they are late are independent. Compute the probability that the person who arrives first will wait more than two minute for the other.

Answers

In my opinion I think it’s 20

Whoever needed help with this MATH question I got it for you...
Answer: F(x)= 4,800(1.5)^X

Answers

Answer:

1+2=3

Step-by-step explanation:

Solve the equation. Plz help.

Answers

Answer:

x=5

Step-by-step explanation:

Will give brainliet no file plz

Answers

Answer:

it would be C

Step-by-step explanation:

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