MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold for a total of $610.00, how many adult tickets and student tickets were sold.

Answers

Answer 1

Answer:

A = 80   S =70

Step-by-step explanation:

#Adults tickets = A

#Students tickets = S

A + S = 150

5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether

3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether

5A + 3S = 610    (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)

Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.

A + S = 150

5A + 3S = 610

Substitution:

A = 150 - S  (Rearrange the first equation by moving S to the other side)

Substitute into the other equation

5 (150 - S) + 3S = 610

750 - 5S + 3S = 610      Combine like terms :    -2S = -140

Solve for S = 70

Substitute into A + S = 150        A + (70) = 150

A = 80


Related Questions

3s+2p=85.50 4s+2p=123

Answers

Answer:s=10.50 and p=27

Step-by-step explanation:

Please help me !

Juan drew line segment EF on the coordinate plane. Determine the distance between the points E and F. Round your number to the nearest hundredth

Answers

Step-by-step explanation:

sogzglzotsoypysotaota9t8ts

It would be 120 ye  f  = 8  E = 3 1/2  

GIVING OUT BRAINLEST!!

Enter the range of values for x

Answers

Answer:

I need help w this question to answer it plz!

Answer:

Step-by-step explanation:

You will need to add a picture

The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.

Answers

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]

Hence, the percentage error is 25%.

15 POINTS PLEASE HELP!!!

Answers

Answer:

D

Step-by-step explanation:

Solve:
(-5) + (-18) =
A-13
B
--23
C С
23
D
13

Answers

B -23 because adding two negatives keeps the negative on. So add the numbers like positives and then re-add the negative back on

it is -23 I think

Step-by-step explanation:

(-5)+(-18)=-23

answers for the 2 boxes please ​

Answers

i believe it’s (4,22)
i’m sorry if that’s not correct
have a great day!:)

Answer:

(4, 22)

Step-by-step explanation:

y = 5x + 2

y  = 3x + 10

Since both equations are equal to y, we can have both equations equal to each other).

5x + 2 = 3x + 10

5x + 2 - 3x - 2 = 3x + 10 - 3x - 2

5x - 3x = 10 - 2

2x = 8

2x/2 = 8/2

x = 4

(Substitute the x value to any equation to solve for y).

y = 5x + 2

y = 5(4) + 2

y = 20 + 2

y = 22

So, the answer is (4, 22).

Hope this helped! <3

f(x) is a function true or false?​

Answers

Answer:

yes True

Step-by-step explanation:

thank you so much

Find The Quotient of 5/6÷ (-13/7)
5/6÷(-13/7)=5/6. ​

Answers

Answer:

- 35/78

Step-by-step explanation:

The quotient of

5/6÷ (-13/7) =5/6×(-7/13) =- 35/78

The table of ordered pairs shows the coordinates of the two points on the
graph of a function. Which equation describes the function?

Answers

Answer: i think its c

Step-by-step explanation:

for every 6 white roses, there are 8 pink roses. If the floral arrangement is proportional then how many pink roses are in a arrangement with 10 white roses

Answers

Answer:

13.33 pink roses

Step-by-step explanation:

We are told the floral arrangements are proportional , hence:

6 white roses = 8 pink roses

10 white roses = x

Cross Multiply

6 white roses × x = 10 white rose × 8 pink roses

x = 10 white roses × 8 pink roses/6 white roses

x = 13.333333333 pink roses

x ≈ 13.33 pink roses

6th grade math help me plzzzz

Answers

Answer:

n = 0.8

Step-by-step explanation:

3n + 3 = 5.4

-3 form each side

3n=2.4

÷3 for each side

n=0.8

Answer:

0.8

Step-by-step explanation:

3(n+1)=5.4

Divide both sides by 3

3(n+1)/3 = 5.4/3

simplify

n+1=1.8

subtract 1 from both sides

n+1-1=1.8-1

N=0.8

Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene ​'s car had 5.9 gallons in the14 ​-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.60 per gallon. How much did Irene spend on​ gas

Answers

Answer:

I believe it is $21.24 im sure

Can someone please help me with this please

Answers

B = E C = FA = DAC = FDBC = FEAB = ED

These are all your congruent parts and they are colour coded along with matching marks on the triangle to help you know that! :)

Item 4
Question 1
Solve −2s<−10. Graph the solution.

Answers

Answer= s > 10/2

s > -10/-2

s > 10/2

help with this bounds question please

Answers

Answer: 6.68km/litre

Step-by-step explanation:

Distance(d) = 187km ( to 3 significant figures)

Petrol(p) = 28litres ( to 2 significant figures)

A number, x, rounded to 1 significant figure is 200

Write down the error interval for x

Calculating the lower and upper bound for both 'd' and 'p'

Upper bound 'd' = 187.5km

Lower bound 'd' = 186.5km

Upper bound 'p' = 28.5km

Lower bound 'p' = 27.5km

Therefore,

Petrol consumption (C) = d/p

Upper C = 187.5 / 28.5 = 6.57894

Lower C = 186.5 / 27.5 = 6.781818

Accuracy answer for C = (6.57894 + 6.781818) / 2 = 6.680379

= 6.68km/ litre ( to 3 significant figures)

To achieve a reasonable level of accuracy, the upper and lower bounds of P and D was used to calculate C, which was then averaged.

Using 3 significant figures ensure that we capture the C better, instead of early rounding.

Which graph represents a function?

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

B, C, and D, have straight up and down lines, which is not a function.

answers for both boxes please ​

Answers

Answer:

5 for the green box and 9 for the purple one

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

2x - 2y = 2

5x + 2y = 12

2x + 5x = 7x

-2y + 2y = 0

2 + 12 = 14

7x = 14

7x/7 = 14/7

x = 2

2x - 2y = 2

2(2) - 2y = 2

4 - 2y = 2

-2y = 2 - 4

-2y = -2

-2y/-2 = -2/-2

y = 1

In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram?

Answers

Answer:

The measure confirming that PQRS would be 25

Step-by-step explanation:

It's easier if you draw it down.

1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.  

                             \

                        155 \

P \ -------------------------\ Q

    \                         25 \

      \                               \     so that's your shape  

   S   \______________\ R

2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.

3. As mentioned before, in a parallelogram, opposite angles are the same and  therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.  

Write the equation that represents the situation then determine the cost of 5 cans of coffee: A supermarket sells 2 cans of ground coffee for$18.50. The cost of coffee varies directly with the number of cans.

Answers

Answer:

The equation is;

C = kg

c is the cost in $

k is the proportionality constant $/can

g is the number of cans

cost of 5 cans of coffee is $46.25

Step-by-step explanation:

From the question, 2 cans of ground coffee costs $18.50

Let c be the cost and g be the number of ground coffee

18.50 = k * 2

where k is the constant of proportionality;

k = 18.5/2

k = 9.25

So, the cost of 5 coffee cans will be;

c = 9.25 * 5 = $46.25

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+20)
105
(7-10)

Answers

Answer:

x=5

Step-by-step explanation:

Angles in a triangle adds up to 180 degrees

so 105 + (6x+20) + (7x-10) = 180

simplify

115+13x=180

subtract 115 to each side

13x=65

divide by 13

x=5

check work

105 + (6(5) + 20) + (7(5) -10)

105 + (30 +20) +(35 - 10)

105 + 50 + 25 = 180

1. 3/5 divided by 6.
2. 10/8 divided by 5
3. 6 divided by 3/8.

Answers

1. 1\10

2. 1/4

3.16

Step-by-step explanation:

your welcome

solve this inequality for x: -46 -8x >22.

Answers

Answer:

Step-by-step explanation:

The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.

-46 - 8x > 22

-8x > 22 + 46

-8x > 68

x < 68/-8        (we divided by -8 so the inequality changed direction)

x < -17/2

Step-by-step explanation:

-46 - 8x > 22: Original problem

-46 - 8x + 46 > 22 + 46: Bringing all the constants to one side of the inequality

-8x > 68: Simplification

x < 68/-8 : You have to flip the inequality symbol because you are dividing by                                

                  a negative number..

x< -8.5 : The answer!!!!!

Checking your answer....

-46 - 8x > 22 : Original problem

-46 - 8(-8.5) > 22 : Substitution

-46 + 68 > 22 : Simplification

22 > 22 : Answer check successful!!!

(22 is not greater than 22 but we know that the answer cannot be -8.5 because the inequality states that x is less -8.5. This process was only for the purpose of checking not for the purpose of proving)

Hope this helps!!!!

Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.


a = P + 2b



a = P – 2b

Answers

Step-by-step explanation:

subtract b to get P-b=2a. divide each side by 2 to get (P-b)/2=a

if the radius is 14cmand The perimeter of the sector is 57.32cm.
what is the size of the angle?​

Answers

Answer:

120°

Step-by-step explanation:

A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:

Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r

Where θ is the angle which forms the sector and r is the radius of the circle.

Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:

Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r

[tex]57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o[/tex]


A lamp is on sale for 10% off the regular price of $159. What is the sale price of the lamp?
$143.10
$145.90
$147.50
$149.00

Answers

Answer:

$143.10

Step-by-step explanation:

$159 (regular price) - 10% = $143.1 = $143.10

Sorry if wrong! Mark brainiest if correct :D Have a great day Luv!

-Bee

Ryan was paid $75 for
working 6­ 1/4 hours.

How much money
did he make per hour?

A. $12.50

B. $12

C. $15

Answers

Answer:

the answer is b

Step-by-step explanation:

12:

Step-by-step explanation:

Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam

Answers

Answer:

mark of the fifth exam = 60

Step-by-step explanation:

Mean = sum of all marks / number of exam

Mean = 70

Number of exam = 5

Let x =

Mean = sum of all marks / number of exam

70 = (65 + 80 + 76 + 69 + x) / 5

Cross product

70 × 5 = (290 + x)

350 = 290 + x

350 - 290 = x

x = 60

mark of the fifth exam = 60

Nina Milling assembles transistor radios. she is paid $0.54 for each radio assembled during a regular work week, $0.62 for each radio assembled on on sundays. What is Nina's total pay for a week in which she assembled the following number of radios?

Answers

Answer:

I would need to know the number of radios she made each day.

Step-by-step explanation:

lets say she assembled 2 radios a day, which means we would do 0.54 x 2 (that would be 1.08) and then times it by 6 ***not incuding sunday***

you would get $6.48

then for sunday we would do 0.62 x 2 (that would be 1.24) .

now we add 6.48 and 1.24 to get $7.72 a week.

van purchased a DVD player on sale the original price was $171.50 the sale price was $149.37 what is the first step finding the percent markdown find the percent markdown

Answers

Answer:

12.90%

Step-by-step explanation:

Given ;

Original price = 171.50

Sale price = 149.37

To find the % markdown :

Markdown = Purchase price - sale price

171.50 - 149.37 = 22.13

(Markdown / purchase price) * 100%

(22.13 / 171.50) * 100%

0.1290379 * 100%

= 12.90%

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