At the movie theatre, child admission is $6.40 and adult admission is $9.50. On Sunday, 165 tickets were sold for a total sales of $1266.80. How many adult tickets were sold that day?

Answers

Answer 1

Answer:

68

Step-by-step explanation:

1. Define unknowns:

x - number of adult tickets ($9.50 each)y - number of child tickets ($6.40 each)

2. Make system of equations:

[tex]x+y=165[/tex] [tex]9.5x+6.4y=1266.8[/tex]

3. Multiply both sides of first equation by 6.4:

[tex]6.4x+6.4y=1056[/tex] [tex]9.5x+6.4y=1266.8[/tex]

4. Subtract first equation from second one:

[tex](9.5x-6.4x)+(6.4y-6.4y)=1266.8-1056[/tex] [tex]3.1x=210.8[/tex] [tex]x=68[/tex]


Related Questions

simply the expression of 3x+6-2x+7

Answers

Answer:

ok so add the two X's together

-2x+3x=1x

then at 6 and 7= 13

so answer is 1x+13

Step-by-step explanation:

Answer:

x +13

Step-by-step explanation:

3x+6-2x+7

Combine like terms

3x-2x   +6+7

x +13

Hi please help me solve this the topic is on circle geometry, whoever answers will be marked as the brainiest.

Answers

Answer: Choice C. 118 degrees

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

Explanation:

Line PR is tangent to the circle at point T. Angle PTO is 90 degrees because of this.

Angle TON is 124 degrees. Triangle TON is isosceles (since we have two sides of the triangle TO and ON equal to the radius). Therefore angles OTN and ONT are equal base angles. Call these x for now

-------

Since 3 angles of any triangle always add to 180, we can say...

x+x+124 = 180

2x+124 = 180

2x = 180-124

2x = 56

x = 28

Therefore,

angle PTN = (angle PTO) + (angle OTN)

angle PTN = 90 + 28

angle PTN = 118

Answer:

d is the answer

8a + 12b = 92 6a – 4b = 4 -- a =? b = ?

Answers

Answer:

a = 4 b = 5

Step-by-step explanation:

8a + 12b = 92......eqn 1

6a - 4b = 4......eqn 2

multiply eqn 2 by 3

18a - 12b = 12.....eqn 2

add eqn 1 and 2 to eliminate b

26a = 104

a = 4

put a = 4 into eqn 2

18(4) - 12b = 12

72 - 12b = 12

72 - 12 = 12b

60 = 12b

5 = b

Solve the following equation for x.
3x-9=-33

A.-16
B.-8
C.-9
D-14

Answers

Answer:

-8

Step-by-step explanation:

3x-9 = -33

3x= -33+9

3x= -24

x= -24/3

x= -8

hope this helps

The following equation for x. 3x-9=-33 has the valueof x as -8. Thus, option B is correct.

 

What is the equation?

A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.

The equation that is presented is

3x-9 = -33

3x= -33+9

Simplifying the equation

3x= -24

x= -24/3

The value of x is derived as

x= -8

Therefore, option B is the correct option.

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3(x+2)=-5(x-3) what is the answer​

Answers

Answer:

x = 9/8

Step-by-step explanation:

Step 1: Write out equation

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

Step 2: Distribute

3x + 6 = -5x + 15

Step 3: Add 5x on both sides

8x + 6 = 15

Step 4: Subtract 6 on both sides

8x = 9

Step 5: Divide both sides by 8

x = 9/8

Answer: 9/8

Step-by-step explanation:

Use distributive property to solve

HELPP!!!1 Two angles are complementary. One angle is 47 degrees. What is the measure of the other angle?

Answers

Answer:

43°

Step-by-step explanation:

Complementary angles add up to 90° in measurement.

One angle is 47 degrees.

[tex]90-47=\boxed{43}[/tex]

The measurement of the other angle would be 43°.

Hope this helps.

The measure of other angle is 43 degree.

What is complementary angles?

Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.

Given that.

Two angles are complementary.

Now consider one angle = x degree

And other angle  = y degree

Then according to question,

Measure of angle x = 47 degree

We know that,

The sum of complementary angles are equal to 90 degree.

Therefore,

x + y = 90

x + 47 = 90

       x = 90 - 47

       x  = 43

Hence, the other angle is = 43 degree.

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-5(6x+3y-1)

What is this simplified

Answers

Answer:

Step-by-step explanation:-30x-15y+6

Answer:

− 30 x − 15 y + 5

Just distribute and combine like terms

If you want the complete steps just ask!

Hope this Helps!!

Generate a plan and describe the steps needed to solve the equation. 34 = –(m + 3)

Answers

Answer:

m=−37

Step-by-step explanation:

34 = -3 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.

34 + m = -3 + -1m + m

Combine like terms: -1m + m = 0

34 + m = -3 + 0

34 + m = -3

Add '-34' to each side of the equation.

34 + -34 + m = -3 + -34

Combine like terms: 34 + -34 = 0

0 + m = -3 + -34

m = -3 + -34

Combine like terms: -3 + -34 = -37

m = -37

Answer:

Sample Response:

The negative sign outside the parentheses represents –1. Distribute the –1 to everything inside the parenthesis. Use the addition property of equality first to add 3 to both sides. Then use the division property of equality to divide both sides by -1.

Find the square root by prime factorisation method 6860.

Answers

Answer:

14√35

Step-by-step explanation:

√6860 =

= √686×10

= √686×2×5

= √343×2×2×5

= √49×7×2²×5

= √7²×7×2²×5

= 7×2√7×5

= 14√35

[tex]\sqrt{6860}=\sqrt{10*686}=\sqrt{10*343*2}=\sqrt{5*2*343*2}=\sqrt{5*2*7*49*2}=\sqrt{5*2*7*7*7*2}=\sqrt{2*2*7*7*5*7} =2*7\sqrt{5*7} =14\sqrt{35}[/tex]

christa spends 30% of her weekly income rent. if her rent is $360 each week, find her weekly income.

Answers

Answer:

1200

Step-by-step

$360= 30%

$12= 1%

12*100= 1200

Check

1200/0.3=360

Solve 6x + 12 = 6x + 12
How do you solve?

Answers

Answer:

The question has an infinite solution

Picture below for Question

Answers

Answer:

i think its c.

Step-by-step explanation:

I need help with this question

Answers

Answer:

  x = (3√2)/2

Step-by-step explanation:

In the isosceles right triangle the side lengths have the ratio ...

  1 : 1 : √2

This means the short leg (x) is 1/√2 times the length of the hypotenuse. You want the ratio with a rational denominator, so you need to multiply numerator and denominator by √2.

  [tex]x=3\cdot\dfrac{1}{\sqrt{2}}=3\cdot\dfrac{\sqrt{2}}{(\sqrt{2})^2}\\\\\boxed{x=\dfrac{3}{2}\sqrt{2}}[/tex]

An AP consists of 55 terms of which 5th term is 14 and last term is 144. Find the 29th term

Answers

Answer:

29th term = 76.4

Step-by-step explanation:

Total terms = 55

aₙ = a + (n - 1) d

5th term = a₅ = 14

   a + (5 - 1)*d = 14

   a + 4d = 14  --------------------(I)

last term = a₅₅ = 144

               a + (55 - 1)d = 144

      a + 54d = 144----------------(II)

Multiply equation (II) by (-1)

(I)             a +  4d = 14

(II)*(-1)     -a - 54d = -144  {Now add and thus a will be eliminated}

                   -50d = -130

 d = -130/-50

d = 2.6

Plug in d = 2.6 in equation (I)

a + 4* 2.6 = 14

  a  + 10.4 = 14

              a = 14 - 10.4

              a = 3.6

29th term = a₂₉ =  3.6 + (29 - 1)* 2.6

                          = 3.6 + 28* 2.6

                          = 3.6 + 72.8

                     a₂₉ =  76.4

Answer:

76.4

Step-by-step explanation:

Let the first term and common difference of the AP be a and D respectively.

[tex]t_5 = 14 \implies \: a + 4d = 14....(1) \\ t_{55} = 144 \implies \: a + 54d = 144....(2) \\ subtract \: eqution \: (1) \: from \: equatin \: (2) \\ \\ a + 54d - (a + 4d) = 144 - 14 \\ a + 54d - a - 4d = 130 \\ 50d = 130 \\ d = \frac{130}{50} \\ \huge \red{ \boxed{ d = 2.6}} \\ substituting \: d = 2.6 \: in \: equation \: (1) \\ \\ a + 4 \times 2.6 = 14 \\ a + 10.4 = 14 \\ a = 14 - 10.4 \\ \huge \purple{ \boxed{ a = 3.6}} \\ \\ t_{29} = a + 28d \\ t_{29} = 3.6 + 28 \times 2.6 \\ t_{29} = 3.6 + 72.8 \\\huge \orange{ \boxed{ t_{29} = 76.4}} \\ [/tex]

If the area of a garden is 11 square feet, what could be the dimensions of the garden?

Answers

Answer:

See below

Step-by-step explanation:

Assuming that the garden is a rectangle, its dimensions could be 1 by 11 feet or 11 by 1 feet. Remember that the area of a rectangle is calculated by multiplying its two dimensions together so we just need to find the factor pairs of 11.

2+9x=3(4x+1)-1
Find each solution

Answers

Answer:

x = 0

Step-by-step explanation:

Given

2 + 9x = 3(4x + 1) - 1 ← distribute and simplify right side

2 + 9x = 12x + 3 - 1

2 + 9x = 12x + 2 ( subtract 9x from both sides )

2 = 3x + 2 ( subtract 2 from both sides )

0 = 3x ( divide both sides by 3 )

x = 0

Each type of ball represents a different digit (0-9) that
remains consistent across the three equations.
Figure out the number that matches each of the balls
and explain your reasoning.

Answers

Answer:

I think the

basketball = 2

football = 4

soccer ball = 0

Step-by-step explanation:

Why because

2+2 = 4 and + =

2×2 = 4 and × =

4+0 = 4 and +⚽ =

Which means that even if basketball is getting added or multiplied it will get the same answer and 2 will gets same answer (4) when it's multiplied or added. In conclusion = 2 = 4 and ⚽ = 0

7. Jim is training for a race. Jim ran 9.8 miles away from his home. Then, Jim ran 7.2 miles towards his home. Finally, Jim ran 4.6 miles away from his home. How far is Jim from his home? *

Answers

Answer:

stop cheating

Step-by-step explanation:

no

Which pair of points has a slope of 4? Question 4 options: (0, 4), (4, 0) (3, 0), (–1, –1) (0, –3), (1, 1) (1, 4), (–1, 4)

Answers

(0,4) (4,0) (1,4) (-1,4)

A rectangular parking lot has a length that is 8 yards greater than the width. The area of the parking lot is 560 square yards. Find the length and the width.

Answers

Answer: length=28, width=20

Step-by-step explanation:

Let x=width, then length=x+8

x(x+8)=560

x²+8x=560

x²+8x-560=0

(x-20)(x+28)=0

x=20 or x=-28 (rej) since a width can't be negative

20+8=28

Hope this helps!! :)

Please let me know if you have any question

PLS help :) Use complete sentences to describe the sum of CA and AB.

Answers

Answer:

CA+AB=CB

Step-by-step explanation:

CA + AB = CB

The lines CA and AB will sum up to CB.

What are collinear points?

Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.

Given here: CA and AB along the same line CB also A,B,C are collinear also ∠DAB+∠CAD=180 as they are adjacent angles and thus are supplementary. Therefore CA+AB=CB

Hence, The lines CA and AB will sum up to CB.

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Which of the following is also known as AR​

Answers

Another example is an Assault rifle

Sarah's mom gave her $60 to spend at the mall,
She found a sale on pants and bought three pairs
for the same price. When Sarah got home she gave
her mom $12 in change. How much was each pair
of pants? Write an equation and solve for the
situation

Answers

Answer:

16

Step-by-step explanation:

since sarah spent 60 and there was only $12 left you must

1: subtract 12 from 60 which is 48

2. divide 48 by 3 because she bought 3 pairs of jeans which is 16

Answer:

Equation:

60 - 2p = 12

Each pair of pants:

$24

Step-by-step explanation:

Equation:

60 - 2p = 12

Solve:

-2p = 12 - 60

-2p = -48

p = -48/-2

p = 24

Ceck:

60 - 2*24 = 12

60 - 48 = 12

Please help asap!! Thank you

Answers

Answer:

The answer is #1

Step-by-step explanation:

If it orginially (30) (97) thats the answer you want, check out the other questions.

30(100-3) = (30) (97)30 ( 90 -3) = (30) (87)30( 97 - 97) = (30) (0)30 (90 - 7) = (30) (93)

number one is the only one  to the original therefore

30 (100-3) = (30) (97).

hi! your answer is 30(100-3)! i checked all of them to make sure it’s right too.

Let p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F.”

Which represents p ∧ q?

He is wearing a coat or the temperature is below 30°F.
He is wearing a coat and the temperature is below 30°F.
If he is wearing a coat, then the temperature is below 30°F.
If he is not wearing a coat, then the temperature is not below 30°F.

Answers

Answer:

b is the answer

Step-by-step explanation:

on edg

A logical operation is a particular symbol or term that joins two or more informational expressions. The correct option is B.

What is Logical operator?

A logical operation is a particular symbol or term that joins two or more informational expressions. It is most commonly used to determine if a connection between two sentences is true or untrue.

Given that  p ↔ q represents the statement "He is wearing a coat if and only if the temperature is below 30°F.” Therefore, event p is He is wearing a coat, while event q represents the temperature below 30°F.

Now, In p^q, '^' represents the 'and' operator. Therefore, p^q represents He is wearing a coat and the temperature is below 30°F.

Hence, the correct option is B.

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In buffalo, New York the temperature was -12F in the morning. What will the temperature be if it drops 9F

Answers

Answer:

The correct answer is -21 degrees.

Step-by-step explanation:

We know that the original temperature was -12 degrees.  If the temperature drops another 9 degrees, this means that it is getting colder or the temperature is getting lower; this lets us know that we should subtract 9 from the original temperature.  This is modeled below:

-12 - 9

Now, we simply have to perform the subtraction to get:

-21 degrees

Hope this helps!

IF DE = 3x+8, EF = 4x+6, and DF = 28, find the value of x. [In your solution,
put x = YOUR ANSWER

Answers

Answer:

x = 2

Step-by-step explanation:

Since, points D, E and F are collinear.

Therefore,

DF = DE + EF

28 = 3x + 8 + 4x + 6

28 = 7x + 14

28- 14 = 7x

14 = 7x

[tex] \frac{14}{7} = x \\ 2 = x \\ \huge \red { \boxed{x = 2}}[/tex]

WILL GIVE BRALIEST!!!! PLEASE HELP FOR THESE ARE MY LAST QUESTION!!! AT LEAST TAKE A LOOK!!! EASY I AM JUST DUMB
Which statements describe characteristics of an AND inequality? (Select all that apply.)
A) Values in the solution set satisfy both inequalities.
B) It is the intersection of two solution sets.
C) Shading generally occurs to the right or the left of the named values.
D) It is the union of two solution sets.

Answers

Answer:

A) Values in the solution set satisfy both inequalities.

B) It is the intersection of two solution sets.

Step-by-step explanation:

We denote intersection as AND.

[tex]A \cap B \implies \text{A and B}[/tex]

Take those sets. The intersection is what A and B share.

What fraction is bigger 27/75 or 18/55

Answers

Answer:

[tex]\frac{18}{55}[/tex]

Step-by-step explanation:

Which fraction is bigger? [tex]\frac{27}{75}[/tex] or [tex]\frac{18}{55}[/tex]

If you look closely the fraction [tex]\frac{27}{75}[/tex] , it looks big but it actually isn't.

The fraction that is bigger is [tex]\frac{18}{55}[/tex] . This is because 75 is a big number and its only 27 out of the 75. In [tex]\frac{18}{55}[/tex] , it's not as big as 75. So compare 18 and 27 and 75 and 55. 75 is 20 more than 55. The number 27 is only 9 bigger than 18.

That's why your answer is

[tex]\frac{18}{55}[/tex]

Hope this helps!

. If cosec x = √10, cos x =

Answers

Step-by-step explanation:

Hey, there!!

Answer: See in pictures.

I hope you are searching this.....

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