The total entrance fee for a group of 4 adults and 3 children to a water park is $220. The total fee for a group of 2 adults and 1
child is $98. Determine the entrance fee for an adult and the entrance fee for a child.
a. Select the system of equationslokat model the situation. Solve by using substitution.

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

Answer 2

The entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.

What is a system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

It is given that :

The total entrance fee for a group of 4 adults and 3 children = $220

and

The total entrance fee for a group of 2 adults and 1 child = $98

Let's assume that the entrance fee for an adult is x and entrance fee for a child is y.

So , the equations can be written as :

4x + 3y = $ 220  --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 1

2x + y = $ 98  --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 2

Now , multiply equation 2 by 2 :

4x + 2y = $ 196  --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 3

Subtracting equation 3 from equation 1 , we get :

(4x - 4x) + (3y - 2y) = $220 - $ 196

y = $24

or entrance fee of a child is $24.

Now , substituting the value of y in equation 1 , we get :

4x + 72 = $220

4x = 148

x = $37

or entrance fee of an adult is $37.

Therefore , the entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.

Learn more about system of equations here :

https://brainly.com/question/25869125

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Related Questions

3x + 2 y = 4
What is the answer

Answers

Answer:

You want to look for x? If yes then:

[tex]x=\frac{4}{3}-\frac{2y}{3}[/tex]

And this is for y

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

please simplify (4x^2) ^3

Answers

Answer:

64x^6

Step-by-step explanation:

4x^2 x 4x^2 x 4x^2

16x^4 x 4x^2

64x^6

In Mr. Hamilton's classroom, there are 16 supply boxes in the cabinet. Each supply box
contains the same number of markers, and there are 192 markers in all. Let m be the
number of markers in each supply box. Write and solve an equation to find m.

Answers

Answer:

12

Step-by-step explanation:

192/16=12

Write the ratio as a fraction in simplest form.

25 to 45


The ratio as a fraction in simplest form is _______



I will give Brainliest and lots of points

Answers

Answer:

5 : 9

Step-by-step explanation:

divide both terms by the greatest common factor which in this case is 5

evaluate the following: 18+3 |6-25| -11

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Answer:

what is Step-by-step explanation: 18+3 |6-25| -11

Please helllppp will give lots of points!!!!




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soke the problems on the
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Answers

Answer:

1. start is 1/3

2. is 1/3

3. is 1 out of 2

4. is 1 out of 6

5. is 2 out of 3

6. is 1 out of 2

7. is 5 out of 6

8. is 1 out of 6

then finished!!!

I hope this helped

A line with a slope of 5 passes through the point (1,9). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

y = 5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, then

y = 5x + c ← is the partial equation

To find c substitute (1, 9) into the partial equation

9 = 5 + c ⇒ c = 9 - 5 = 4

y = 5x + 4 ← equation of line

The Monday after Thanksgiving is called Cyber Monday. Amazon is
offering deals on many popular items. The same drone helicopter
is normally sold for $179.99, but on Cyber Monday, Amazon will be
selling it for $125.99. What is the percent change on the drone. Round to the nearest percent

Answers

Answer:

the percentage change on the drone is 42.86%

Step-by-step explanation:

The computation of the percentage change is shown below:

Since the helicopter was sold for $179.99

But amazon would be selling it for $125.99

So, the percentage change would be

= (Sale value -  sale value by amazon) ÷ ( sale value by amazon) × 100

= ($179.99 - $125.99) ÷ ($125.99) × 100

= 42.86%

Hence, the percentage change on the drone is 42.86%

Is this a function? Why or why not?

Answers

yes, because it doesn’t repeat.

If a toy truck is created in a 2:9 scale, and the wheel of the toy is 14cm wide, how wide is the actual wheel?

Answers

Answer:63 cm

Step-by-step explanation:

Given

The scale of creation is 2:9

The width of the toy wheel is 14 cm

Suppose x is the actual width of the truck

[tex]\therefore \dfrac{2}{9}=\dfrac{14}{x}\\\\\Rightarrow x=\dfrac{9}{2}\times 14=63\ cm[/tex]

Thus, the width of actual truck is 63 cm

What is the slope of the line that passes through the points (-2, -5) and (6, 7)? A.3/2 B.2/3 C.-3/2 D.-2/3

Answers

Answer:

3/2

Step-by-step explanation:

y2 - y1/ x2 - x1

7 -(-5) / 6 - (-2)

12/ 8

3/2

Which expression is equivalent to 4x-5+6(1-x)?

Answers

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

2x+1

if 3 4 5 was a pythagorean triple choose all answers that would satisfy the pytagorean therom​

Answers

7391740. Ensign dickens

Thandi received 15% discount on a dress that costs R1500. How much did she
pay?​

Answers

Answer:

She paid $1,275.00.

Step-by-step explanation:

I'm assuming you meant $1,500, so I'll be using that.

You can figure this out by subtracting 15% of 1,500 from 1,500.

15% of 1,500 is 225.

1500-225=1275

Therefore, 15% off of $1,500 is $1,275.

what does Actual - Predicted =?

Answers

Answer:

Step-by-step explanation:

A farmer has 20 bins of apples. Each bir
has 25 red apples and 30 green apples.
Which of the following expressions can
be used to find the total number of
apples in all the bins?

Answers

Answer:

1100

Step-by-step explanation:

you have to do 25+30=55 then 55x20=1100

find the 12th term of the geometric sequence 5,20,80

Answers

20,971,520 is the answer I believe so

Answer:

20971520

Step-by-step explanation:

Thank me later

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAIN THING IF ITS CORRECT AND IT SAYS WRITE YOUR REASON AS A DECIMAL SO PWEASE DO THAT

Answers

Answer:

0.244

Step-by-step explanation:

1.22÷5

Expand 1.22/5 by multiplying both numerator and the denominator by 100.

122/500

Reduce the fraction 122/500 to lowest terms by extracting and canceling out 2.

61/250

Convert to decimal form.

0.244

Answer correctly with NO FILE (Or links) to get brainliest.

Answers

the answer is D. 3x-1. hope this helps !

A smaller triangle is four times smaller than a larger triangle. If the smaller triangle has a measurement of 27.1 mm for its longest side. What is the measurement of the longest side of the larger triangle?
A. 107.2 mm
B. 107.4 mm
C. 108.2 mm
D. 108.4 mm

Answers

Answer:

D. 108.4 mm

Step-by-step explanation:

Since the larger triangle is 4 times of the small triangle...

27.1 x 4 = 108.4 mm

If the pointer in the figure is spun​ twice, find the probability that the pointer lands on yellow ​(Y​) both spins.

Answers

Step-by-step explanation:

Find a common denominator for the pair of fractions.​ Then, write equivalent fractions with the common denominator.
7/12 and 1/3
common denominator is 12
what is an equivalent fraction to 7/12?

Answers

4/12? It may be wrong, not sure

I NEED HELP ASAP PLZZZZ

Answers

Answer:

B. 30 soda cans

Step-by-step explanation:

Range = max number - min number = 40 - 10 = 30

Pls help me I’m stuck rn in

Answers

Answer:

Rhombus

Step-by-step explanation:

A rhombus is basically just stretched out

Answer:

square or rhombus

Step-by-step explanation:

one of the two

The school nurse took care of five students on Monday and four of the five students had a cough. The school nurse determined that 80% of the students in her school were coming down with colds. Which of the following would best describe why her conclusion was invalid?

Answers

Answer:

It is not valid because she only saw 5 students and that's not a large enough sample for the whole school.

Step-by-step explanation:

While 4/5 IS 80%, the nurse assumed that 80% of ALL of the students in the school were coming down with colds. This is not true since only 4 students had colds. If she were specific and said that 4/5 students who visited her on Monday were 80% coming down with colds, she'd be right. But she isn't since she's assuming it's 80% of the whole school's population of students.

LOOK AT PIC! which table shows y as a function of x?

Answers

Answer:

H

Step-by-step explanation:

It's the only table that its y never changes.

Please give me BRAINLIEST and a THANKS lol.

\\\

(Someone please)

Joshua’s entire workout consisted of 10 minutes of warm-up exercises, 25 minutes of lifting weights, and 15 minutes on the treadmill.

What was the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout?

A. 1:1
B. 1:2
C. 3:10
D. 5:8

Answers

Answer:

Its A

Step-by-step explanation:

Write an equation for this graph

Answers

Answer:

y = 3x

Step-by-step explanation:

m = (6-3)/(2-1) = 3/1 = 3

Answer: y=3x

Step-by-step explanation:

To write an equation, the first step is to look at the rise/run. In this graph, the rise is 3 and the run is 1. 3 divided by 1 is still 3 so in the equation mx+b, the m, also known as the slope, would be 3.

3x+b

And the b is the y-intercept where the line crosses the y axis.

3x+0=y

Therefore;

3x=y

Kailey wrote 8,912,000 in scientific notation as 89.12 times 10 Superscript 5. Which statement best describes Kailey's work?

Answers

Answer:

Could You Please Explain More?

Step-by-step explanation:

Could you post the full question?

Use the distributive property to expand (simplify) 12(a-5)​

Answers

Answer:

12a-60

Step-by-step explanation:

12(a-5)

=12a-12*5

Multiply 12 *5=60

=12a-60

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

[tex]\huge\boxed{\boxed{12a-60}}[/tex]

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac

Where

a, b, and c can be either constants or variables

we distribute a by multiplying it times b and c, and simplify if necessary.

In this case, we should distribute 12:

12(a-5)

12 times a and 12 times (-5):

12a-60

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

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