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

Jess had 212 deer stickers. Jess gave 47 stickers to Sandy and 24 stickers to Mike. How many stickers does Jess still have?​

Answers

Answer:

141 stickers

Step-by-step explanation:

212-47=165

165-24= 141 stickers

Solve the system of equations by substitution.

3x + y = 9z

-5x + 2y = -4z

What is the value for y from the first equation, that could be substituted into the second equation?

-9z + 3x
3z + 9x
9z - 3x
-3x - 9z

Answers

Answer:

x = 1.27

y = 5.18

Step-by-step explanation:

to solve this system of  equation by simultaneous equation we say that let

3x+y=9.............................. equation 1

-5x+2y=4 .......................... equation 2

from equation 1

3x+y=9.............................. equation 1

y = 9 -3x.............................. equation 3

substitute the value of y = 9 -3x into equation 2

-5x+2y=4 .......................... equation 2

-5x + 2( 9 -3x) = 4

-5x + 18 - 6x = 4

collect the like terms

18 - 4 = 6x + 5x

14 = 11x

divide both side by 11

14/11 = 11x/11

x = 14/11

x = 1.27

put the value of x = 1.27 into  equation 3

y = 9 -3x.............................. equation 3

y = 9 - 3( 1.27)

y = 9 - 3.82

y = 5.18

to check if you are correct put the value of x and y into either equation 1 or equation 2.

3x+y=9.............................. equation 1

3( 1.27) + 5.18 = 9

3.81 + 5.18 = 9

9 = 9

I need help getting the answer to this -71+blank=21

Answers

Answer:

It is Positive 92

Step-by-step explanation:

-71 + 92 = 21

A machine paints 340 toy boats in 45 minutes. Which expression equals the unit rate per minute?

Answers

Answer:

7.55556 toy boats per minute

or

340 = 45x

Step-by-step explanation:

340 = 45x

340/45 = 45x/45

7.55556 = x

7.55556 toy boats per minute

An electrician charges a
service fee of $89 plus an
hourly rate of $35.
Identify the y-intercept
in this linear equation.
HELPP.

Answers

Answer:

89

Step-by-step explanation:

The y intercept is the value when x = 0

Even when you have 0 hours you still have to pay the service fee

The equation is

y = 35x+89

The y intercept is 89

5-3x=Px+7
what value must P have for the equation to have no solutions?

Answers

Answer:

P = - 3

Step-by-step explanation:

For the equation to have no solutions the the coefficient of x on both sides must be the same.

5 - 3x = Px + 7 ← P = - 3 , then

5 - 3x = - 3x + 7 ( subtract 5 from both sides )

- 3x = - 3x + 2 ( add 3x to both sides )

0 = 2 ← not possible

Meaning the equation has no solutions

What is 0.4184 in standard form

Answers

Answer:4.184*10^-1

Step-by-step explanation: in standard form or scientific notation

If the red marker is red why isn’t the blue marker blue when it rains...?

Answers

Answer:

Yes.

Explanation:

can someone help with this question

Answers

Answer:

<1= 60

<2=120

<3=60

<4=60

<5=120

<6=120

<7=60

Step-by-step explanation:

Please help I've never been more confused

Answers

Step-by-step explanation:

2.

Two pairs of corresponding angles

i. angle C angle D

ii. angle G angle F

Two pairs of alternate angles

i. angle B angle D

ii. angle H angle F

Two pairs of interior angles

i. angle C angle H

ii. angle D angle E

help with this please! :)

Answers

Answer:

w x 7 + 6 x 7

Step-by-step explanation:

Advice: Please make sure you cut out your tabs and your personal information while asking questions. I can easily see on the screenshot that your name is Isabella Fletcher.

30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).

Answers

Answer:

-1/2

Step-by-step explanation:

The relevant relationship is ...

  f^-1'(x) = 1/f'(f^-1(x))

  f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2

  f^-1'(2) = -1/2

_____

The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).

The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.

What is the first step to solve the following equation:
n/8 = 7

Answers

To solve the equation, you need to get the variable by itself
To get rid of division, you multiply

First step: multiply 8
n = 56

Answer:

n = 56

Step-by-step explanation:

[tex]\frac{n}{8}[/tex] = 7

The first step is to multiply both sides by 8 to clear the fraction

n = 7 × 8 = 56

help me urgent thankyouu

Answers

Answer:

The answer is B.

Step-by-step explanation:

0.0605

The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choices below.
2+y=5
x^2+ y = 11


Answers

Answer:

no answer choices shown but solution

would be [-2.8, -∞] and [2.83, ∞]

Step-by-step explanation:

Answer Asap!
<3 <3 <3
Thx

Answers

Answer:

the answer is 15/17

because cosine=b/h=UV/UW=15/17

Write equations for the horizontal and vertical lines passing through the point (-4,2)

Answers

Answer:

y=2

x=-4

hope this helps!

What is the value of the first term in an=n+6?​

Answers

the first term would be 7.

832.078107648 to the nearest whole number.

Answers

832 is rounded to the nearest whole number

Please help thankssssss

Answers

[tex]0,2a^{2}b^3 . (-5a^3b)^2 = 0,2a^{2}b^3 . 25a^6b^2 = 5a^8 b^5[/tex]

ok done. Thank to me :>

solve pls brainliest

Answers

Answer:5868<9845<91387<969156

Step-by-step explanation:

help me please on my math I need All of this FACTORS and the LCM​

Answers

Answer:

the LCM is :

1. 144

2.40

3.870

4. 63

5.216

6.150

7. 112

8.162

9. 96

10. 40

Find a value c in the interval [0,3] such that f(c) is equal to the average value.

Answers

Answer:

1.5

Step-by-step explanation:

Numbers in the interval are 0, 1, 2 and 3

Average Value = (0+1+2+3)/4=1.5

The average value of the numbers in the interval {0,3} is 1.5.

What is an average?

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.

The average of the numbers is calculated as,

Average Value = (0+1+2+3)/4

Average Value =1.5

Therefore, the average value of the numbers in the interval {0,3} is 1.5

To know more about an average follow

https://brainly.com/question/20118982

#SPJ2

find the equation of the line passing through (3,-6) with the gradient of -1/2​

Answers

Answer:

2y+x+9=0

Step-by-step explanation:

eqn is given by

[tex]m = \frac{y - y1}{x - x1} [/tex]

given

[tex] - \frac{1}{2} \: as \: m[/tex]

and

[tex]{3 \: and \: - 6} \: as \: x \: and \: y \: respectively[/tex]

subtitute values into the formula

[tex] - \frac{1}{2} = \frac{y - - 6}{x - 3} [/tex]

cross multiply giving

[tex] - 1{x - 3}= 2{y + 6[/tex]

[tex] - x + 3 = 2y + 12 \\ 2y + 12 + x - 3 = 0 \\ 2y + x + 9 = 0[/tex]

helppp yalll my mind is closed

Answers

Answer:

16

Step-by-step explanation:

(Trust me)

To get a free bonus gift, you must spend at least $100 in a

certain department store on Tuesday. On Tuesday, Mary made

purchases of $15, $26.50, and $40. What is the least amount she

needs to spend in order to be eligible for the bonus gift?

Answers

Spent amount= $81.50

Pending= $18.50

ben baked 6 times as many cookies as francis. francis baked 42 cookies. how many cookies did ben bake

Answers

Answer:

252

Step-by-step explanation:

If Francis baked 42 cookies, that means ben backed 252, because you can add 42 plus 42 plus 42 blah blah blah 6 times, and it gets  you 252. Or you can just do 42 times 6.

Since it’s 6 times as many cookies as Francis with Francis being 42 you multiple that by 6 which totals to 252!!!

Write 567.4892 correct to (I)the nearest ten (II)2 decimal places​

Answers

Answer:

i think the answer to your question

1) 570

2)567.49

Please help with this question.

Answers

Answer:

x=52º

Step-by-step explanation:

A triangle's angles are equal to 180º.

Given the opposite angle to H is 66º, we can find the opposite angle of angle I. The opposite angle of angle K is 62º, assuming that it is equivalent to the opposite angle of angle I we can solve for x.

66+62+x=180

Add 66 and 62.

128+x=180

Subtract 128 from both sides of the equation.

x=52

Angle x is equal to 52º.

Hope this helps :)

Can someone help me solve this integral plsss?


integral of (2xˆ3+3xˆ2+x)/(xˆ2+1) dx

Answers

Ok done. Thank to me:>
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