Lea's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 12 adult tickets and 7 child tickets for a total of $236. The school took in $217 on the second day by selling 7 adult tickets and 14 child tickets. What is the price each of one adult ticket and one child ticket?

Answers

Answer 1

Answer:

Step-by-step explanation:

let the number of children be x

and the number of adults be y

so

7x+12y=236-----1

and

14x+7y=217------2

equating both 1 and 2 we have

7x+12y=236-----1

14x+7y=217------2

multiply 1 by 2

subtract 2 from 1 we have

  14x+24y=472-----3

 - 14x+7y=217------2

    0x+17y=255

17y=255

y=255/17

y=15

put y=15 in eqn 1 we have

7x+12y=236-----1

7x+12*15=236-----1

7x+180=236-----1

7x=236-180

7x=236-180

x=56/7

x=8

therefore a child will cost $8 and adult will cost $15


Related Questions

hellllppppp me please

Answers

The answer is positive infinity

9514 1404 393

Answer:

positive infinitynegative infinity

Step-by-step explanation:

The function has a positive leading coefficient (1/3) and is of odd degree (3). These conditions mean the sign of the end behavior of the function will match the sign of x.

  x → ∞, m(x) → ∞

  x → -∞, m(x) → -∞

A company donates money to a charity every time the baseball team hits a home run. They donate $100 for every home run. Write an equation for the situation,
where y is the total amount of money donated and x is the number of home runs hit.

The equation is y=

Answers

Answer:

y = 100x

Step-by-step explanation:

Answer:

y=100x

Step-by-step explanation:

how will you know the nature of the roots of the given quadratic equation?

Answers

Hi! here your answer

Answer:

If D≥0, then the roots are real and distinct.

If D=0, then the roots are real and equal.

If D≤0, then no real roots exist

Hope you understood!

Simplify this radical.
V84

Answers

Answer:

[tex]2\sqrt{21}[/tex]

Step-by-step explanation:

84/4=21

Square root of 4=2

[tex]2\sqrt{21}[/tex]

Please help! due in less than 10 mins. please !! thank you so much
What is y?

Answers

Answer:

180

Step-by-step explanation:

write 0.009 as a percent​

Answers

0.9% because you remove the 0s simple

How do similarities and dilations relate to slope

Answers

Answer:

Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.

Step-by-step explanation:

Write the equation of the line in point-slope form with a slope of 5/2 and passing through the point (0,1).

Answers

Answer:

y = 5/2x + 1

Step-by-step explanation:

you are given (0,1) which means that the y intercept is 1.

Subsitute values in a linear equation:

y = mx + b

y = 5/2x + 1

Help me, please! ( Thank You... )

Answers

Answer:

is this 9th grade math????

Step-by-step explanation:

1

1. Find the values of the
angles x, y and z.
40°
25°
z
у​

Answers

Answer:

z = 40° (V. O. A)

Now find x

40 + 25 + x = 180(A. S. P)

65 + x = 180

x = 180 - 65

x = 115°

Now find y

x = y (V. O. A)

Y = 115°

So angles are

X = 115°

Y = 115°

Z = 40°

Hope this helps, have a great day, have a wonderful weekend and stay safe!

Also Happy Halloween! :) :D :3

Name the same side interior angle with angle 6

Answers

Answer:

try 5 or 3, half of 6 is 3 may be the same angle

anybody know this question dont answer if its not right

Answers

Answer:

5

Step-by-step explanation:

9×5/9=45/9

=5

just multiply the stuff in parantheses and then add and then divide.

Answer:

5

Step-by-step explanation:

3^2*(2+3); 9*5=45

(2+1)*3; (3)*3=9

So 45/9 =5

For a craft project, four students each chose three pieces of wire from a box. Don's wires measure 3 inches, 5 inches, and 12 inches. Margo's wires measure 6 inches, 8 inches, and 14 inches. Sonji's wires measure 12 inches, 8 inches, and 17 inches. Liam's wires measure 16 inches, 8 inches, and 27 inches.

Answers

Answer:

Sonji's wires measure will be chosen

Step-by-step explanation:

Given:

Don's wires measure = 3 inches, 5 inches, and 12 inches

Margo's wires measure = 6 inches, 8 inches, and 14 inches

Sonji's wires measure = 12 inches, 8 inches, and 17 inches

Liam's wires measure = 16 inches, 8 inches, and 27 inches.

Find:

Measure used to construct a triangle

Computation:

In a triangle sum of two smaller side is grater then bigger side

a + b > c

So.

Don's wires measure = 3 inches + 5 inches < 12 inches

Margo's wires measure = 6 inches + 8 inches = 14 inches

Sonji's wires measure = 12 inches + 8 inches > 17 inches

Liam's wires measure = 16 inches + 8 inches < 27 inches.

So,

Sonji's wires measure will be chosen

Answer:

sonji

Step-by-step explanation:

period

pls help ty!
Will give brainliest

Answers

Answer:

0.22h

Step-by-step explanation:

9.8 km/h is your speed, and you need to travel 2.2 km.

Time = distance / speed

(2.2km) / (9.8km/h)

0.22h

could some one please help I'm not that good with math​

Answers

Answer:

D and E

Step-by-step explanation:

It is acute because all angles are under 90 degrees. This means that it cannot be F, obtuse. It cannot be A because A scalene triangle is a triangle in which all three sides have different lengths. It cannot be B either because it has 3 sides of equal angles. It cannot be right because non of the angles are 90 degrees. It is equilateral.

Hope this helps.


Solve for x:
(x + 20)/2
= 3x

A: x = 10
B: x = 4
C: x = -14
D: x= -17

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

B) x=4

Step-by-step explanation:

This is the equation and we need to solve for y 2x+y=7

Answers

Answer: y = -2x + 7

Step-by-step explanation:

Answer:

y= -2x+7

Step-by-step explanation:

We need to keep y on one side of the equation.

2x+y= 7

=2x     -2x

y= -2x+7

Hope this helps!

does anyone know this? will give brainlyest to first person to get it right! the second person who puts an answer (doesn't matter if it wrong) or just type whatev!

Answers

Answer:

bucket one- 1:28

bucket two- 1:31

Step-by-step explanation:

you have to subtract 5- the number then you have to add it to the time remember 60 mins in a hour

Answer: The first time will be at 1:28 P.M.

               The second time will be at 1:31 P.M.

Step-by-step explanation:

Identify an equation in point-slope form for the line perpendicular to
y=-1x +11 that passes through (4, -8).
O A. y +8 = 2(x-4)
B. y - 4 = 2(x+8)
O C. y+8 = {(x-
-4)
O D. 7-8 = {(x + 4)

Answers

Answer:

C

Step-by-step explanation:

Perpendicular lines have the exact opposite slope of the other equation.

So the slope will be x or 1x. Plug in

-8 = 1(4) + b (b represents y-intercept) like y=mx+b

-8 = 4 + b (subtract 4 on both sides)

-12 = b

The equation is y = x - 12

C

solve

y + 8 = x - 4 (subtract 8 on both sides)

y = x - 12

Solve for the value of s

Answers

The two angles are vertical angles, which mean they are the same.

6s-2 = 94

Add 2 to both sides:

6s = 96

Divide both sides by 6:

S = 96/6

S = 16

Tamar used the algebraic method to convert the repeating decimal number to 2.45 to a fraction. Her first two steps are shown below. Step 1: x=2.45. Step 2: 100x=245.45. What should be Tamar’s next step

Answers

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x = 2.4545... → (1)

100x = 245.4545... → (2)

Subtract (1) from (2) eliminating the repeating decimal

99x = 243 ( divide both sides by 99 )

x = [tex]\frac{243}{99}[/tex]

What are the missing parts that correctly complete the proof?

Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line. The angle P X B is labeled as a right angle. The line segments A X and B X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point P with point B.

Drag the answers into the boxes to correctly complete the proof.

Statement Reason
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. Response area Definition of bisector
3. ∠PXA and ∠PXB are right angles. Response area
4. Response area All right angles are congruent.
5. ​ PX¯¯¯¯¯≅PX¯¯¯¯¯ ​ Reflexive Property of Congruence
6. Response area SAS Congruence Postulate
7. Response area Corresponding parts of congruent triangles are congruent.
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant


































What are the missing parts that correctly complete the proof?

Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line. The angle P X B is labeled as a right angle. The line segments A X and B X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point P with point B.

Drag the answers into the boxes to correctly complete the proof.

Statement Reason
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. Response area Definition of bisector
3. ∠PXA and ∠PXB are right angles. Response area
4. Response area All right angles are congruent.
5. ​ PX¯¯¯¯¯≅PX¯¯¯¯¯ ​ Reflexive Property of Congruence
6. Response area SAS Congruence Postulate
7. Response area Corresponding parts of congruent triangles are congruent.
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant

Answers

Answer:

1. point p is on the perpendicular bisector of AB¯¯¯¯¯- given

2. AXP≅BXP. definition of bisector

3. ∠PXA and ∠PXB are right angles. definition of perpendicular

4. ∠PXA≅ ∠PXB. All right angles are congruent.

5.PX¯¯¯¯¯≅PX¯¯¯¯¯ ​ Reflexive Property of Congruence

6.AXP≅AXQ. SAS Congruence Postulate

7.AX¯¯¯¯¯≅BX¯¯¯¯¯

8.Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant

Step-by-step explanation:

Answer:

1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given

2.   AX¯¯¯¯¯≅BX¯¯¯¯¯¯ . Definition of bisector

3. ∠PXA and ∠PXB are right angles . Definition of Perpendicular

4. ∠PXA and ∠PXB . All right angles are congruent.

5. ​ PX¯¯¯¯¯≅PX¯¯¯¯¯ ​. Reflexive Property of Congruence

6. △AXP≅△BXP . SAS Congruence Postulate

7. PA¯¯¯¯¯≅PB¯¯¯¯¯ . Corresponding parts of congruent triangles are congruent

8. Point P is equidistant from the endpoints of AB¯¯¯¯¯ . Definition of equidistant

Step-by-step explanation:

What supplies electricity in a circuit
A.the source
B.the conductor
C.the insulater
D.the wires

Answers

Answer:

B.the conductor

Step-by-step explanation:

2,3,5,7,11,13 conjecture

Answers

Answer:

The primes up to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47. The sequence of gaps—the differences between each prime and the next—is 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2 and 4. The number 1 appears only once because all primes except for 2 are odd. The rest of the gaps are even numbers.

The conjecture which could be inferred from the sequence is that it is a list of prime numbers.

From the sequence given : 2, 3, 5, 7, 11, 13

All values in the sequence are prime numbers.

Prime numbers are numbers which have only two divisors which are 1 and the number itself.

Divisors of :

2 = 1 and 2

3 = 1 and 3

5 = 1 and 5

7 = 1 and 7

11 = 1 and 11

13 = 1 and 13

Hence, the conjecture which could be inferred from the sequence is that, the numbers are prime numbers.

Learn more : https://brainly.com/question/9315685

Cherries are on sale at the grocery store at a price of $5 for 2 pounds. Oscar buys 3
pounds. If he is charged the sale price for the cherries, how much will Oscar pay?

Answers

Answer:

$7.5 = 3 pounds

Step-by-step explanation:

1. If $5 is equal to 2 pounds of cherries, you want to find what 1 pound of cherries cost. You should divided 5 by 2 and 2 by 2 to find what 1 pound of cherries cot.

2. That means that 1 pound of cherries cost $2.5.

3. Now we want to find how much money 3 pounds cost, so you should multiply the 2.5 and the 1 by 3.

4. Now that gets you to $7.5 for 3 pounds of cherries.s

24 divided by 7872

PLEASE HELP

Answers

Answer:

328 IF its 7,872 divided 24. If it 7,872 divided by 24 then it's 0.00304878049

Step-by-step explanation: Please mark as brainlest i really need to keep me motivated.

help me please!!!!!​

Answers

Answer

the next two terms are

0.000032

0.0000064

simplify 9x^2y^-3 for x=5 and y=3

Answers

Answer:

8 1/3 or 25/3

Step-by-step explanation:

Answer:

Exact Form: 25/3

Decimal Form: 8.3r (r = repeating)

Mixed Number Form: 8 1/3

The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent decrease in the fee?
A. The percent decrease is approximately 0.14%.
B. The percent decrease is approximately 0.85%.
C. The percent decrease is approximately 14%.
D. The percent decrease is approximately 85%

I’m dumb but I need an answer quick (will try to give brainliest) or however you spell it

Answers

Answer:

I'm going for A

Step-by-step explanation:

Answer:

Answer is gonna be c

Step-by-step explanation:

f(x)=2(x-5)^{2}-8
graph equation
find vertex, root, and y-intercept

Answers

Answer:

Vertex: (5,-8)

Root: (3,0) and (7,0)

Y intercept: (0,42)

Step-by-step explanation: 2(x-5)^2 -8 graphed

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