The drama club is selling tickets to their spring performance. It is $3 for a student and $8 for an adult. They sold 225 tickets and earned $1400. How many adult and student tickets?

Answers

Answer 1

Answer:

number of students tickets = 80

number of adults tickets = 145

Step-by-step explanation:

Let

x = number of students tickets

y = number of adults tickets

x + y = 225 (1)

3x + 8y = 1400 (2)

From (1)

x = 225 - y

Substitute x = 225 - y into (2)

3x + 8y = 1400 (2)

3(225 - y) + 8y = 1400

675 - 3y + 8y = 1400

- 3y + 8y = 1400 - 675

5y = 725

y = 725/5

y = 145

Substitute y = 145 into (1)

x + y = 225 (1)

x + 145 = 225

x = 225 - 145

x = 80

number of students tickets = 80

number of adults tickets = 145


Related Questions

Compare and contrast the formulas for the volume of a pyramid and the volume of a cone.


Because a pyramid has a non-circular base, the volume is always described in square units, but the volume of a cone is stated in cubic units.

Because a pyramid has a non-circular base, the volume is always described in cubic units, but the volume of a cone is stated in square units.

Both formulas are 13Bh, but the base of a pyramid is always a square.

Both formulas are 13Bh, but the base of a cone is always a circle.

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1/3BH it is a circle 24/7 so that’s what the answer is

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Answers

Answer:

y= 60 degrees; x= 6 times square root of 3

Step-by-step explanation:

Look up 30-60-90 triangle rules

What is the area of the Largest square (BRAINLIST WILL BE GIVE IF ANSWER CORRECT)

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Answer:

100units^2

Step-by-step explanation:

Using pythagoras theorem, it states that 36+64= area of the unknown

right triangles & trigonometry can someone help me!!!!!!! please

Answers

Answer:

angles on a straight line add up to 180°

Step-by-step explanation:

90+51=141

180-141

=31

<MLJ=31°

72+90=162

180-162=18

<KJL=18°

An engineer designs a cylindrical tank to have a capacity of 4356 cubic inches.
The tank has a diameter of d = 18.5 in. What is the height (h) of the tank to the
nearest tenth of an inch?

Answers

Answer:

16.2 in.

Step-by-step explanation:

Vol. of cylindrical tank = Bh, where B is the area of the base

Since the base is a circle, B = [tex]\pi r^{2}[/tex]

r = 18.5/2 = 9.25  and let's use 3.14 for π

So.  4356 =[tex]3.14(9.25^{2} ) h[/tex]

                = 268.66625h

h = 4356/268.66625

h = 16.2134... = 16.2 in to the nearest tenth of an inch

Solve the equation using addition or subtraction
22 + 15 = d - 17

Answers

Answer:

d=54

Step-by-step explanation:

22 + 15 = d - 17

37=d-17

54=d

d=54

Answer:

d=44

Step-by-step explanation:

22+15=37 so ?-17=37 well its 44 because 44-17=37

what is the domain and range of the functions(3,1),(2.8), (1,9), (-3,7), (5,5)

Answers

Answer:

(3,1) : Domain = 3

        Range = 1

(2,8) : Domain = 2

        Range = 8

(1,9) : Domain = 1

        Range = 9

(-3,7) : Domain = -3

        Range = 7

(5,5) : Domain = 5

        Range = 5

How do you find the radius of a circle ​

Answers

Answer

Just remember to divide the diameter by two to get the radius.

Step-by-step explanation:

If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation

25^x = 125^(x+3)

a. x = -10
b. x = -9
c. x = -3
d. x = 3

Answers

Answer:

25^x = 125^(x+3)

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

we get

2x=3(x+3)

2x=3x+9

-9=3x-2x

x=-9

option

b. x = -9 is right answer.

The solution is x = -9.

To solve the equation 25ˣ = 125ˣ⁺³, we can simplify the equation using the fact that 125 is equal to 5³.

Rewriting the equation with this substitution:

25ˣ = (5³)ˣ⁺³

Since [tex](a^b)^c[/tex] = [tex]a^{(bc)[/tex], we can simplify the equation further:

5²ˣ= (5³)ˣ⁺³

Now, we can see that both sides of the equation have the same base (5), so the exponents must be equal.

2x = 3(x+3)

Let's solve for x:

2x = 3x + 9

2x - 3x = 9

x = -9

Therefore, the solution is x = -9.

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You roll a number cube 600 times, Theoretically, how many times should you roll an odd
number?

Answers

Answer:

300?

Step-by-step explanation:

Which regular polygon would have each of its interior angles measure 120°?

nonagon
hexagon
octagon
heptagon

Answers

The correct answer is Hexagon

Answer:

Hexagon

Step-by-step explanation:

If in a regular polygon, each interior angle = 120 deg, then each exterior angle = 180–120 = 60 deg. So the polygon has 360 deg/60 deg = 6 sides. The figure is a regular hexagon.

The smallest known female spider is 23/50 millimeter long. The smallest male spider is 37/100 millimeters long. Write each fraction as a decimal.

Answers

Answer:

23/50 = 0.6 and 37/100 = 0.37

Step-by-step explanation:

helpppp me pleaseeee??

Answers

Answer:

Check pdf

Step-by-step explanation:

6,750,000 is what % of 9,000,000

Answers

Answer:

P = 9000000 × 6 100 = 9000000 × 0.06 = 540000 (answer) Therefore, the answer is 540000 is 6 percent of 9000000. Solution for '6 is what percent of 9000000?' The following question is of the type "P is what percent of W,” where W is the whole amount and P is the portion amount".

Answer:

75%

Step-by-step explanation:

I subtracted 6,750,000 from 9,000,000 and got 2,250,000.

I realized that that 2,250,000 is 25% of 9,000,000 so that leaves the remaining 6,750,000 to be 75%.

i am sorry if this doesn't make sense but that is how i figured it out.

If Maureen from example 3 works overtime, she receives an hourly rate times her regular hourly rate. What is Maureen's hourly overtime rate?

Answers

9.70(1.5) = 14.55 ; Maureen's hourly overtime rate is $14.55

9. What is the sales tax on an item that costs $67.00 if the state sales tax is 6.5%?

A. $435

B. $4.35

C. $3.35

D. $.45

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. $4.35

Step-by-step explanation:

to find your sales tax you just have to do [cost of the item] x [ percentage as a decimal]= sales tax

so in your case it would be [$67.00] x [0.065] = $4.35

-2(x+5)=4
(____)• x + (___• 5) = 4
___+___= 4

____ = 4+ ____
x=14/___

X=

Answers

Answer:

-2(x+5)=4

(-2)• x + (-2• 5) = 4

-2x+-10= 4

-2x = 4+ 10

x=14/2

X=7

Step-by-step explanation:

If you need an explanation, please tell me in comments

If this helps you, please mark as brainliest

X = -7-------------------------------------

Step-by-step explanation:

-2(x + 5)= 4

-2x - 10 = 4

-2x = 4 + 10

-2x = 14

x = -7

-------------------------------------FOLLOW ME

How is the area of the parallelogram related to
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Answers

Answer:

Both use bh but triangle is 1/2bh

Step-by-step explanation:

Formulas

Parallelogram bh

Triangle 1/2bh

These two triangles are similar. Solve for X.

Answers

Answer:

Hello I am not 100% on my answer but I would assume that X is 2.5 and Y is 6.5

Hope This Helps! please correct me if i am wrong

HELP PLEASE ASAP!!!!!!!!!!!!!

Answers

Answer:

b

Step-by-step explanation:

How many solutions does 4x + 5 = 6(x + 3) - 20 - 2x have? Show your work.

Answers

Answer:

X∈∅

Step-by-step explanation:

4x + 5 = 6(x + 3) - 20 - 2x

distribute the 6

4x+5=6x+18-20-2x

collect like terms

4x+5=4x+18-20

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cancel equal terms

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Shirts at A water park come in green or yellow they come in small or large they also have short Sleeves oat long sleeves how many Combinations of different colors size and sleeve are there

Answers

I’m pretty sure that it’s 6

The additive inverse of (-2x + 4) is __________.
choices:
1. -2x + 4
2. 4x + 2
3. (-2x – 4)
4. (2x – 4)

Answers

Because -2x+4+2x-4=0, the additive inverse is (2x-4)

Evan is going to the county fair this weekend. The admission to the fair is %5 and the cost per ride is 50 cents. What is the rate of change (slope) of this problem?

Answers

Answer:

$0.50/ride

Step-by-step explanation:

That rate of change (unit rate) is $0.50/ride.  

This is also the slope of the graph.  $5 is the y-intercept.

Can someone please help

Answers

Answer:

I think is b

Step-by-step explanation:

Ii just did the math and I think is b

a ship sails 20km due north. It changes direction and then sails 15 due east. How far is it from its starting point? ​

Answers

It is 35km from its starting point

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

Answers

Answer:

Infinite solutions

Step-by-step explanation:

Find the value of x so that the ratios are equivalent. 9:x and 54:8
I keep trying 48 its never right

Answers

Answer:

Maybe it is right, but you need to phrase it a different way

Step-by-step explanation:

like x= 48

or 48

or 9:48

you know

The value of x so that the ratios are equivalent is 48.

How to obtain real measurements from the ratio of two measurements?

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where  is a common factor (not 1)

Which shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

Therefore, the value of x so that the ratios are equivalent.

9:x and 54:8

x= 48

or 9:48

Hence, the value of x so that the ratios are equivalent is 48.

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10 The sum of three numbers is
73. The second number is
twice the first, and the third is 3
more than the second. Write and
solve an equation to determine the
three numbers.

Answers

Answer:

x = 14.

Step-by-step explanation:

So, we know that the sum of 3 number is 73. The second number is twice the first, and the third is 3 more than the second. We can turn this into an algebra equation.

x + 2x + 2x + 3 = 73.

If we solve, this, we get x = 14.

FIRST CORRECT ANSWER GETS BRAINLIEST! CALCULATE THE SLOPE FOR INTERVAL A.

Answers

Answer:

60

Step-by-step explanation:

The slope is going to be rise over run which is feet/seconds

from (0,0) to (600,10) which is a the line rises up 600 feet and runs 10 seconds

so it is just 600/10 which is 60

Hope that helps :)

Answer:

I'm guessing this is a coordinate plain so the answer would be

Step-by-step explanation:  

5 , 300

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