Shanice's school made $850 by selling 125 tickets to the annual talent show. They sold adult
tickets for $10 and student tickets cost $6. How many adult tickets did they sell? How many
student tickets did they sell?
Write a system of equations to represent this situation. Define your variables.

Answers

Answer 1
Let S = student
Let A = adult
First equation is total tickets
Second should be the cost
S + A = 125
6S + 10A = 850
Use substitution or elimination
S + A = 125
S = -A + 125
I used substitution
6(-A + 125) + 10A = 850
-6A + 750 + 10A = 850
4A + 750 = 850
4A = 100, A = 25 adult tickets
125 - 25 = 100

Solution: 100 student tickets
Answer 2

Answer:

25 adult tickets were sold and 100 student tickets were sold.

Step-by-step explanation:

Let the number of adult tickets sold be x and the number of student tickets sold be y.

We know that the total amount collected from the tickets was $850, and that a total of 125 tickets were sold. We can use this information to come up with two equations.

10x + 6y = 850 - Equation 1

x + y = 125 - Equation 2

Then, use the substitution method to solve for either x or y first, followed by the other.

From equation two:

x + y = 125

x = 125 - y - Equation 3

Sub eqn 3 into eqn 1:

10(125-y) + 6y = 850

1250 - 10y + 6y = 850

1250 - 4y = 850

-4y = - 400

y - 100

Sub y = 100 into eqn 2:

x + 100 = 125

x = 25

Check:

10(25) + 6(100) = 850


Related Questions

No links!!!
Please help me

Answers

Answer:

B one

They only cross once on the graph

Select the expression that is equivalent to 48 ÷ 12
A. 6 (8 + 6)
B. 12 (4+1)
C. 4 (44 +3)
D. 8 (6+4)

Answers

Given:

Consider the expression is:

[tex]48+12[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

[tex]48\div 12[/tex]

It can be written as:

[tex]48\div 12=12\times 4+12\times 1[/tex]

Taking out the GCF, we get

[tex]48\div 12=12(4+1)[/tex]

Therefore, the correct option is B.

Answer:

b. 12 (4+1)

Step-by-step explanation:

hope this helps you {ribbit}

~tsu-chan :p

Mary made two 8 ounce drinks each in a separate cup. The first cup has 4 ounces f coffee and four ounces of milk. The second cup has 6 ounces of coffee and 2 ounces of milk. After she stirred the two drinks really well, she took out a third cup that was empty. She poured 2 ounces from the first cup ad 4 ounces from the second cup into the third cup. How many ounces of coffee are in the third cup

Answers

Answer:

6 ounces

Step-by-step explanation:

First cup = 4 ounces of coffee + 4 ounces of milk

= 8 ounces drink

Second cup = 6 ounces of coffee + 2 ounces of milk

= 8 ounces drink

She poured 2 ounces from the first cup and 4 ounces from the second cup into the third cup.

Third cup = 2 ounces from the first cup + 4 ounces from the second cup

= 2 + 4

= 6 ounces drink

Ounces of coffee are in the third cup = 6 ounces

The volume of the geometric figure below is _______ cubic ft

Answers

Answer: Your answer in 840 cubic feets

Step-by-step explanation:

u solve the face on the bottom... base (10) times height (12) divide by two is 60. Then i multiply by the actual height which is 14 ft. 60 times 14 is 840.

If this helps plz mark me brainlest

Good luck :D

please help me, if you can

Answers

Answer:

may be A?? i dont really know bt i think A

Answer: B

Step-by-step explanation:

First, let's take the point of the origin so (0,0).

Let's substitute it back into the equations:

0 is x, 0 is y

A: 0> -1 true

B: 0 ≥ -1 also true

C: 0 < -1 not true

D: 0 ≤ -1 not true

So now, for C and D the region containing the (0,0) is the unwanted region (shaded) because the inequality is not true.

However, the graph has the side with point (0,0) unshaded.

So we know that the answer is A or B.

In linear programming signs <> are expressed as dotted lines and ≤≥ as unbroken lines.

The graph has an unbroken line so answer B is correct as it has the sign ≥ (representing an unbroken line) and satisfies the inequality.


The volume (V) of a cube is 216 cubic Inches. What is the surface area (S) of the cube?

Answers

Answer:

216in^2

Step-by-step explanation:

6*6*6=216

side length is 6

6^2=36

36*6=216

SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST












7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.

b. In the equation, what does the 500 tell us about the situation?

c. In the equation, what does the tell us about the situation?

d. Graph the equation for values of t between 0 and 4.

Answers

Answer:

a. 281.25 grams

b. The 500 represent the original amount of aspirin.

c. 3/4 tells us what amount of the aspirin remains after every hour.

d's answer is in the picture. Just copy the line.

Step-by-step explanation:

A is the only part that needs any explanation.

Since the t represent hours, I'll subsititute t for 2.

500 * (3/4)²

3/4 squared is 9/16.

500 * 9/16

Multiply 500 by 9 to get 4500.

4500/16

Simplify 4500/16 to 1125/4 (4 is canceled out.)

1125/4

Divide 1125 by 4 to get 281.25

281.25

281.25 grams of aspirin will be in the patient body after two hours.

pls answer ASAP pls the quarter ends at 12:00

Answers

Answer:

55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

your trying to make it equal, in order to do that you must do to the top what you did the bottom

11 = ?

20=100

to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal

11/20x5/5=55/100

A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?

A 4

B. 8

C. 16

D. 20

Answers

Answer:

D. 20

Step-by-step explanation:

The line of best fit for the equation is:

[tex]y = 3x - 4[/tex]

When x = 8

We have to find y. So

[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]

So the correct answer is given by option D.

please answer this question i will give you brainliest!!!!

Answers

Answer:

your answer will be 25 .....ok

Answer:

x = 25

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 15

3 = 15k ( divide both sides by 15 )

[tex]\frac{3}{15}[/tex] = k, that is k = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x ← equation of variation

When y = 5 , then

5 = [tex]\frac{1}{5}[/tex]x ( multiply both sides by 5 to clear the fraction )

25 = x

2 4/8 - 1 3/4 pls help i got 1 min

Answers

I think 3/4 or 0.75 will be the answer

Answer:

1 1/8

Step-by-step explanation:

What is the area of this regular polygon?

Answers

Answer:

A=25√3 cm^2

Step-by-step explanation:

Since it is a regular triangle, all sides are equal to 10cm. The dotted line is a perpendicular bisector, which means that it seperates the triangle into two perfect halves. So a right triangle is formed. The bottom of the right triangle will be half of 10, and 10/2=5. So to find the missing side, use the pythagoreom theorem.

5^2+x^2=10^2

25+x^2=100

x^2=75

x= 5√3

The height of the triangle is found, so apply the formula for area:

A=1/2*5√3*10

A=25√3

Can anyone please help me to do this with steps

Answers

9514 1404 393

Answer:

  x = 45°

Step-by-step explanation:

We presume you want the measure of angle x.

Long arc BAD is intercepted by inscribed angle BCD and by inscribed angle BDE. Hence angle BDE has the same measure as angle BCD.

  x + 70° = 115°

  x = 45° . . . . . . subtract 70°

_____

It doesn't matter where point C is on short arc BD—the measure of angle C is the same regardless. This is still true even if point C moves to be on top of point D, so that angle BCD and angle BDE are indistinguishable.

What is the area of the triangle?

Answers

Answer:

   A = 6.36

Step-by-step explanation:

how do i estimate 260000?

Answers

Answer:

260000

Estimate = 300000

simplify
rewrite the expression in the form a^n

Answers

this is the answer: a^8

guys, please help me!!!!!! I'll give you brainly and a ton of points!

Answers

Answer:

31

Step-by-step explanation:

62 / 2 = 31

Answer:

31

Step-by-step explanation:

angle is half of arc

Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?

Answers

Answer:

78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

Answer: 78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

Help ASAP please! Thank you so much
What is the slope of the graphed line?

Answers

Answer:

the numbers aren't clear can you enlarge the screenshot?

Step-by-step explanation:

Answer:

Slope = [tex]- \frac{3}{4}[/tex]

Step-by-step explanation:

1. Choose 2 points from the graph

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

2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

3.) (-4) - (-1) = -3

(4) - (0) = 4

-3/4

What’s the answer to the question -7x + 15 = 36

Answers

Answer:

x= -3

Step-by-step explanation:

-7x +15 - 15 = 36 - 15

-7x = 21

-7x ÷ -7 = 21 ÷ -7

x= -3

Answer:

Um.....

-3

Sorry if calculated wrong..

Exercise
1
Solve the inequality
of these equation
pretty please ​

Answers

Answer:

y<6

Step-by-step explanation:

1 /3 y +  1/4  >  3 /8y

1 /3 y +  1/4  −  3/ 8 y > 3/ 8 y −  3/ 8 y

− 1 /24 y +  1 4  > 0

−1 /24 y +  1 /4  −  1/ 4  > 0 −  1 /4

−1 /24 y >  −1/ 4

Multiply both sides by 24/(-1).

y<6

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

find the length of x please.

Answers

I think the answer is 8

Answer:

x = 7.5

I used the Pythagorean theorem:

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 4.5^2+6^2=7.5[/tex]

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest? Thanks!

Find the value of x that makes the equation true.

2[x + (2 1/2 + 2x )] = -3 (x - 1 ) + 9

Answers

Answer:

x = 7/9 or 0.78 as a decimal

Step-by-step explanation:

have a nice day!! :)

% of $10 = $3


help pls ​

Answers

Answer:

30%

Step-by-step explanation:

3/10=30/100 and 30/100 is the same as 30%

because %'s mean out of 100 so 30% means 30 out of 100 which can be simplified to 3 out of 10 or 3/10 (so its all equal)

Answer:

3%

Step-by-step explanation:

 What is the volume of this cone?

Answers

Answer: C

Step-by-step explanation:

please please help please please help please please help please please help please please help









Boris starts to use the standard algorithm to solve 86\times986×986, times, 9. His work is shown below.

\begin{aligned} \overset{\blueD{y}}8\overset{}6&\\ \underline{{} \times \phantom{~~~~} 9}&\\ 4& \end{aligned}

Answers

Answer:

5

Step-by-step explanation:

You have to do 6×9 first and since that is a two digit number (gives 54), you have to bring the 5 up to the top in the place of y and add that to the product of the next two numbers you multiply.

Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?

Answers

Given:

The initial value of the car = $75,700

Decreasing rate = 4.3%

To find:

The value of r in the exponential DECAY formula.

Solution:

The exponential decay formula is:

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value, r is the rate of decay on decimal and t is the time period.

The initial value of the car is $75,700 and its value decreases 4.3% annually. So,

[tex]a=75,700[/tex]

[tex]r=\dfrac{4.3}{100}[/tex]

[tex]r=0.043[/tex]

The required exponential decay formula is:

[tex]y=75,700(1-0.043)^t[/tex]

Therefore, the value of r in the exponential decay formula is 0.043.

Determine whether the Law of Cosines or the Law of Sines is needed to solve the triangle a = 11, b = 13, c = 7

Answers

Answer:

Step-by-step explanation:

Use the Law of Cosines:

c^2 = a^2 + b^2 - 2ab*cos C becomes

7^2 = 11^2 + 13^2 - 2(11)(13)cos C.

Once you have cos C, and then side c, you can use the Law of Sines to find the other two interior angles.

Question 5 (1 point)
Find the volume of the sphere. Round your answer to the nearest tenth.
Help me please

Answers

Answer: The closest one would be 3052.1

Step-by-step explanation:

find the measure of the missing angle

Answers

Answer:

28 i think [⩾▾⩽]

Step-by-step explanation:

since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.

hope this helps^^

have a great day :D

Right angle = 90 degrees
90 - 62 = 28

a = 28 degrees
Other Questions
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