Mathematics College

The Frill family and the Smith family go to the movies.
The Frill family buys 6 adult tickets and 2 child tickets for $124.
The Smith family buys 3 adult tickets and 5 child tickets for $100.

Find the prize of an adult ticket and the prize of a child ticket.

Answers

Answer 1

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

[tex]6a + 2c = 124[/tex]

as equation 1,

and

[tex]3a + 5c = 100[/tex]

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]

Now substitute c into equation 2.

[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

Related Questions

Two consecutive integers have a product of 12. What is the initial equation that would be used
to solve this?
x² = 12
x(x + 1) = 12
2 (2+2) = 12
x(x − 2) = 12

Answers

Answer:

x(x+1) = 12

Step-by-step explanation:

If a number is x then it's consecutive number will be x + 1.

And their product x(x+1)

The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket

Answers

Answer:

$105.13

Step-by-step explanation:

[540.50 - (4 x 30)]/4 = $105.125

{362 – [6x3 + (48 ÷ 2) x 2]} + 3(9 +4)

Answers

Answer:

335

Step-by-step explanation:

Brep

335??? I just did this ☺️.....

A bag contains 12 marbles: 3 red, 4 green, and 5 blue.

Suppose you draw two marbles from the bag, one at a time, without replacement.

What is the probability that the first marble is blue and the second marble is green?

Answers

Answer:

The probability is that the first marble is blue is 5/12 and the probability that the second marble is green is 4/11

Step-by-step explanation:

How is this happening i was only gone for 2 weeks

Answers

Answer:

step it up dont lack

Step-by-step explanation:

keep answering and helping others

help pls ! need it asap

Answers

Answer:

m∠X = 110°

m∠V = 60°

Step-by-step explanation:

1.) Angle Y and W are equal from the markers, which means the angles are equal

35*2 = 70

180 - 70 = 110 ( You know it has to be greater than 90 because it's larger than a corner angle)

2.) This is another isosceles (equal angle and sides)

Some times all sides aren't equal on isosceles but you can see these are

180/3 = 60°

solve the square root equation
5-2√x=11

Answers

Answer:

There is no value to make x true in this equation.

This is a no-solution problem.

Find the area of the following trapezoid. 5 7 14
​

Answers

Answer:

84

Step-by-step explanation:

5+7 times 14 divided by 2 i think there's no pic

Answer:

Welp, you didn't provide a picture so I'll go with every choice.

Step-by-step explanation:

If the two bases are 5 and 7, and the height is 14, then the area is 84.

If the two bases are 5 and 14, and the height is 7, then the area is 66.5.

If the two bases are 7 and 14, and the height is 5, then the area is 52.5.

The formula for the area of a trapezoid is : (a+b)/2 * h

please please please help me i will give you brainliest

Answers

Answer:

∠QPT=122°

Step-by-step explanation:

Angles along a straight line add up to 180. Therefore:

∠PRQ+∠PRS=180

∠PRQ+118=180

∠PRQ=180-118

∠PRQ=62°

All angles in a triangle add to 180. Therefore:

∠PQR+∠QPR+∠PRQ=180

60+∠QPR+62=180

∠QPR+122=180

∠QPR=58°

Angles along a straight line add to 180. Therefore:

∠QPT+∠QPR=180

∠QPT+58=180

∠QPT=122°

An airplane is traveling at an altitude of 30,000 feet
above sea level and needs to get above 35,000 feet.
The airplane can climb 500 feet every minute. How
long will the airplane need to travel to get above 35,000
feet?

Answers

Answer:

10 minutes

Step-by-step explanation:

First, find how much higher the airplane has to travel:

35,000 - 30,000

= 5,000

To fine how long it will take, divide 5000 by 500

5000/500

= 10

So, it will take 10 minutes to get above 35,000 feet

The skating rink charges $0.75 to rent skates and $1.25 per hour to skate. Which equation
can be used to find the number of hours (h) someone skated if he or she was charged
$4.50?

a) 0.75 + 1.25 = 4.50
b) h(0.75 + 1.25) = 4.50
c) 0.75 + 1.25h = 4.50
d) 0.75h + 1.25 = 4.50

Answers

Answer:

C.

It can be read as...

".75 was charged for skates, and 1.25 was charged per hour for a total of 4.50."

No other answer choice has this. A does not have the variable h, B includes .75 which is NOT charged per hour, as well as D.

I hope this helps you!

A dunk tank with a radius of 36 inches

Answers

Answer:

The circumference of the circle is about 226.08 inches. ANSWER: 3.14 × 72 = 226.08 in.

Step-by-step explanation:

226.08 your welcome now can u help me with my history work

Verify a - (- b) = a + b for the following values of a and b.
() a = 23, b = 14
(ii) a = 128, b = 105
​

Answers

23 - (-14) = 23 + 14 = 37

128 - (-105) = 128 + 105 = 233

Which table shows y=-x+4

Answers

.....the correct answer is C

Find the slope of the line -2x - 5y = 10

Answers

Answer:

-2/5

Step-by-step explanation:

To find the slope of an equation, we first convert the equation into Slope-Intercept Form: y = mx + b, where m is the slope, and b is the y- intercept.

=================================================================

Add 2x to both sides. [Addition Property of Equality]

-2x - 5y = 10

+2x         +2x

-------------------

-5y = 2x - 10

Divide -5 on both sides. [Division Property of Equality]

-5y/-5 = 2x/-5 - 10/-5

y = -2/5 x + 2

Comparing to y = mx + b form, we see that our m value, or slope is -2/5

--------------------------------------------------------------------------------------------------------------

m= -2/5

=================================================================

Hope I Helped, have a fantastic day!

                  -Aadi x

Benny went to 36 baseball games this year he went to 40 games last year how many baseball games did Benny go to in total

Answers

Answer:

76

Step-by-step explanation:

36+40=76

Hope this helps!!

Answer:

76 games in total

Step-by-step explanation:

if 400g is 1kg find the ratio in the simplest form​

Answers

Answer:

2 : 5

Step-by-step explanation:

The quantities must have the same units of measure

400 g : 1 Kg

= 400 g : 1000 g ← divide both parts by 200

= 2 : 5

Greg is pouring an entire gallon of milk in 10 glasses. What part of a gallon will be in each glass?

Answers

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

→ Divide the gallon by the number of glasses

[tex]\frac{1}{10}[/tex]

Please help with this question

Answers

Answer:

hi Step-by-step explanation:April 12, 1861: Battle of Fort Sumter. ...

June 30, 1861: Battle of Philippi. ...

July 21, 1861: First Battle of Bull Run/First Battle of Manassas. ...

August 28-29, 1861: Battle of Hatteras Inlet Batteries. ...

October 21, 1861: Battle of Ball's Bluff. ...

November 7, 1861: Battle of Belmont. ...

January 19, 1862: Battle of Mill Springs.

through: (5,-1) and (-3,-5)​

Answers

Answer:

If you are trying to find slope the answer is 1/2

Step-by-step explanation:

I'm sorry if im wrong but thats if you're trying to find slope if you're not my bad.

Find the parabola through
(
5
,
−
1
)
(
5
,
-
1
)
with vertex
(
−
3
,
5
)
(
-
3
,
5
)
using the vertex form
y
=
a
(
x
−
h
)
2
+
k
y
=
a
(
x
-
h
)
2
+
k
.
Standard Form:
y
=
−
3
32
x
2
−
9
16
x
+
133
32
y
=
-
3
32
x
2
-
9
16
x
+
133
32
Vertex Form:
y
=
−
3
32
(
x
+
3
)
2
+
5
y
=
-
3
32
(
x
+
3
)
2
+
5

please answer it's easy ​

Answers

Answer:

did not see that coming

Step-by-step explanation:

Got rickrolled

I just got Rick rolled

3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.

Answers

9514 1404 393

Answer:

  29.15 in

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

Filling in the given information, we can find the missing side length.

  297 in² = (27 in)h

  h = (297 in²)/(27 in) = 11 in

The length of the diagonal can be found from the Pythagorean theorem.

  d² = 27² + 11² = 729 +121 = 850

  d = √850 = 5√34 ≈ 29.15476

The length of the diagonal is about 29.15 inches.

I deposited $ 50,000.00 in Chase Bank at 4%. How long my money has to stay in the bank to double ?

Answers

whyu

Step-by-step explanation:

.whyww

Prove that triangle Bad is congruent to triangle ABC​

Answers

Answer:

Step-by-step explanation:

From the diagram,

i. To prove that; ΔBAD ≅ ΔABC

It can be inferred that;

<BAD ≅ <ABC (right angle of a triangle)

AC ≅ BD (diagonal of a rectangle)

AD ≅ BC (property of the sides of a rectangle)

AB ≅ CD (property of the sides of a rectangle)

Therefore,

ΔBAD ≅ ΔABC (SAS, Side-Angle-Side, congruent relations)

ii. From the given rectangle,

AC = BD = diagonal

Since;

AD ≅ BC (property of the sides of a rectangle)

AB ≅ CD (property of the sides of a rectangle)

Then,

AC ≅ BD (diagonal property of a rectangle)

Find the missing side x=

Please help ASAP I will mark brainlist.

Answers

Answer:

Step-by-step explanation:

WILL GIVE BRAINLIEST!!! The two larger segments below are perpendicular. Find the area of the shaded region to the nearest integer.

Answers

Answer:

I wont be able to help much and get you till all the way to the end but here is what i know:

Step-by-step explanation:

The radius of the smaller circle is 6, and the longer segment adds up to 12 since 6 + 6 = 12. the area of the whole bigger circle would be 452.389, by using the formula of the area of a circle "πr²". This is what i can tell and the only part I'm confused in how to find the area of JUST the shaded part. I hope this helped a bit!

Solve this inequality. 8x + 6 < 54

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 6

Interval Notation:

( − ∞ , 6 )

Answer:

Inequality:8x+6<54

Do minus 6 on each side:8x<54

Now do divided by 8 on each side:x=6.75

Step-by-step explanation:

Solve the system by Graphing

Answers

Step-by-step explanation:

id really appreciate it if someone helped me , i’ll give you brainliest

Answers

Answer: it’s the same 110 degrees

Step-by-step explanation:

Answer: 110 is the correct answer

HELP TIMED IS THIS RIGHT?

Answers

Answer:16 is the answer of your question

hope it is helpful to you

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