Jacobs school is selling tickets to a fall musical. First day of ticket sales the school sold 28 tickets. If adult tickets cost $8 each and child tickets cost $5, how many adult and child tickets were sold? Total ticket sales: $176

Answers

Answer 1

Answer:
12 adult tickets, 16 child tickets

Step-by-step explanation:

x is the amount of adult tickets
y is the amount of child tickets
----------------------------------------------------------

lets make 2 equations:
1)    x + y = 28
2)   8x + 5y = 176
----------------------------------------------------------

now we can substitute either x or y into the second equation so that we only have to deal with one variable at once.

x + y = 28
subtract y from each side:
x + y - y = 28 - y
which gives you:
x = 28 - y
-------------------------------------------------------

Then we plug that into the second equation, which will give us:

8(28 - y) + 5y = 176

now you want to expand 8(28 - y), so you use the distributive property.

8(28 - y) = 8*28 - 8*y = 224 - 8y

now that we have solved that, plug it back into the equation:

224 - 8y + 5y = 176

subtract 224 from each side:

224 - 8y + 5y - 224 = 176 -224

which gives us:
-3y = -48

now if you multiply each side by ( -1 ) you get:
3y = 48

now divide both sides by 3 and you get:
y = 48 / 3

48 / 3 is 16

y = 16
-------------------------------------------------------------------------------

now plug y = 16 into equation 1

equation 1 was x + y = 28

plug 16 in for y which gives us:

x + 16 = 28

subtract 16 from both sides

x + 16 - 16 = 28 - 16

Which finally gives us
x = 12
---------------------------------------------------------------------------------

Remember:
x is the amount of adult tickets
y is the amount of child tickets

x = 12 means that 12 adult tickets were sold
y = 16 means that 16 child tickets were sold
----------------------------------------------------------------------------------

if my answer is not correct, please reach out to me :)


Related Questions

A stock rises in value from $20 to $40. Then it decreases in value from $40 to $20. Is the percentage increase from $20 to $40 the same as the percentage decrease from $40 to $20? Explain.

Answers

Answer:

No

Step-by-step explanation:

To find how much something is a percent of another number, divide it by said other number

20/40 = 0.5

0.5 × 100 = 50%

The first one is a 50% increase

Then, 40/20 = 2

2 × 100 = 200%

It is a 200% decrease

So no, because 50% doesn't equal 200%

what's the perimeter of this triangle​

Answers

Answer: 60

Step-by-step explanation: if you count the length and the width and multiply them you will get your answer, i did 15 (amount of units going down) and 8 (amount of unites going sideways) and multiplied them, 15 x 8 = 120 then half of that is 60

Terry calculates how much wood he needs to build the desk shown in the diagram . He says the area is 600ft2

What error did terry make

Find the correct area and explain your answer

Answers

the correct area is 3600ft2

Answer:

He forgot to multiply by 1/2 when finding the area of the above triangle.

Now we find the correct area;

A = BH x 1/2 (formula for finding area of triangle)

A = 10 x 24 x 1/2

A = 240 x 1/2

A = 240/2

A = 120

Now the rectangle's formula which is just (W x L) where "w" is the width and "l" is the length;

A = W x L

A = 24 x 15

A = 360

Now we add both the sums of the two areas:

120 + 360 = 480 square feet, the information provided here is your explanation.

A line passes through the origin, and is perpendicular to the line y = –2x + 6. Find the equation of the line.

Answers

Step-by-step explanation:

compare the equation with : Y=mX+C

then, for slope of perpendicular equation

m1×m2= -1

As the coordinates lies in origin it is (0,0)

then use the formula of equation of line

100, 50, 0, -50, What is the common difference for the sequence

Answers

Answer:

d = - 50

Step-by-step explanation:

common difference is

50 - 100 = 0 - 50 = - 50 - 0 = - 50

if u answer u will get brainlist :)

Answers

Answer:

24.4 > 24.34

Step-by-step explanation:

Tenth place value can be any number more than the tenth value in 24.34.

In the decimal number 24.34, the tenth value is 3. So, it should be more than 3

Options can be any one of these

24.4  or

24.5 or

24.6

Answer:

Values (tenths) that would make the number comparison 24._ > 24.34 true would be:
- 4
- 5
- 6

24.40 > 24.34
24.50 > 24.34
24.60 > 24.34

All other options provided would make the left side of the comparison less than the right side of the comparison.


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Find the distance from point L to point M, if the point L has coordinates (-10,-9)

and the point M has coordinates (-2,6).

Answers

Answer:

The distance from point L to point M is 17

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is calculated as follows:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Point L has coordinates (-10,-9) and point M has coordinates (-2,6).

Calculate the distance between L and M:

[tex]d=\sqrt{(6+9)^2+(-2+10)^2}[/tex]

[tex]d=\sqrt{15^2+8^2}[/tex]

[tex]d=\sqrt{225+64}=\sqrt{289}[/tex]

[tex]\boxed{d=17}[/tex]

The distance from point L to point M is 17

(1/2x +7)²
EXPAND IT PLEASE

Answers

Answer:

1/4x^2 + 7x + 49

Step-by-step explanation:

Use binomial theorem (a + b)^2 = a^2 + 2ab + b^2 to expand (1/2x + 7)^2

What time is it for y'all for me, it's 12:06am-midnight any of you guys times different

Answers

Answer:

4 am for me you probably live somewhere in america though

please help???????? ASAP​

Answers

The answer is B:) hope that helps

Who ever gets it right I will give Brainly and 20 points

Answers

Answer:

Circumference of a circle:

c=2πrc=πddistance around a circle

Area of a circle:

A=πr²measured in square units(radius) (1/2 circumference)

Write the following expression using an exponent.
1x7x7x7x7x7

Answers

Answer:

Think it is x^35

Step-by-step explanation:

Hopefully I didn't misinterpret

When solving an ______, use inverse operations to undo the operations.

Answers

Answer:

equation

Step-by-step explanation:

Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry. Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on.

[RevyBreeze]

Answer:

equation

Step-by-step explanation:

To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation. Performing the same operation on both sides of an equation does not change the validity of the equation, or the value of the variable that satisfies it.

its all on the picture giving brainiest and 100 points its also math

Answers

#1

(1,2)(2,4)

Slope=

[tex]\\ \rm\Rrightarrow m=4-2/2-1=2[/tex]

Equation in point slope form

[tex]\\ \rm\Rrightarrow y-2=2(x-1)[/tex]

[tex]\\ \rm\Rrightarrow y-2=2x-2[/tex]

[tex]\\ \rm\Rrightarrow y=2x[/tex]

Graph attached

#2

(1,3)(2,6)

Same like before

Equation of the line:-

[tex]\\ \rm\Rrightarrow y=3x[/tex]

Graph attached

For one particular homeroom, the typical ratio of students absent to students present is 1 : 14. One day, students from this same homeroom miss school to compete in a math competition. On that day, there are 22 students in class and the ratio of students absent to students present is 4 : 11. How many students are absent on a typical day for this homeroom?

Answers

Answer:

i THINK 43% but im not for sure

Step-by-step explanation:

14% of 50 is 7

so 50-7=43

43(percent there)+7(percent gone)=50 (number of students)

SO 43% is still there.

i hope this work for you

and SORRY if im wrong

After a successful Friday night at the local BDubs, 92% of the daily allocated wings were sold to restaurant-goers. The kitchen staff was a bit upset because that meant there were only 96 wings left between them to take home at the end of night. How many wings did BDubs start off with that night?

Answers

Answer:

88

Step-by-step explanation:

92% = 0.92

0.92(96) = 88.32

88 is rounded to the nearest wing

Is (2,-3) a solution to 3x + 7y = 14? Show work.

Answers

Answer:

its not a solution

Step-by-step explanation:

substitute  the points

3(-2) + 7(-3) = 14

-6 - 21 = 14?

-27 = 14 X

9 Consider the expressions (5.9 X 10^6) and (3.2 X 10^4).
Part A
Find the difference of the expressions.

Part B
Find the product of the expressions.

Answers

I think the answer will be B 1-9x+C=32

Answer:

I think the answer will be B 1-9x+C=32

Step-by-step explanation:

6-3x=5x-10x+20. What is the value of x?

Answers

Answer:

X=2

Step-by-step explanation:

Because it that is the answer

X=7 the work is in the photo to help you understand if you want.

Select the expression that has a value of 15.

4 + (8 x 4) ÷ 6 + 7
(4 + 8) x 4 ÷ 6 + 7
4 + 8 x 4 ÷ (6 + 7)
(4 x 8 x 4) ÷ 6 + 7

Answers

Answer:

Second option

Step-by-step explanation:

We will use the process of elimination to find the answer:

First option:
[tex]4+(8\times4)\div6+7[/tex]
[tex]8\times4=32[/tex]
[tex]4+32\div6+7[/tex]
[tex]4+32=36[/tex]
[tex]36\div6+7[/tex]
[tex]36\div6=6[/tex]
[tex]6+7=13[/tex]
[tex]=13[/tex]

Second option:
[tex](4+8)\times4\div6+7[/tex]
[tex]4+8=12[/tex]
[tex]12\times4\div6+7[/tex]
[tex]12\times4=48[/tex]
[tex]48\div6+7[/tex]
[tex]48\div6=8[/tex]
[tex]8+7=15[/tex]
[tex]=15[/tex]

Which means your answer is the second option or "4 + (8 × 4) ÷ 6 + 7."

Hope this helps.

Answer:

B

Step-by-step explanation:

Answer number 8 please

Answers

Answer:

1/3

Step-by-step explanation:

The cone is three inches and the radius in one inch

evaluate 7-(-19)-18+(-19)+18

Answers

Answer:

The answer is 7

Step-by-step explanation:

7-(-19)=26

26-18=8

8+(-19)=(-11)

-11+18=7

Which is the value of this expression when m = 3 and n = negative 5?

(6 m Superscript negative 1 Baseline n Superscript 0 Baseline) Superscript negative 3 HELP PLZZ

Answers

Answer:

Start Fraction - 1 Over 8 - End Fraction

(6m-1n0) -3

= (6m-1x1) -3

= (6/m) -3

= (m/6) 3

= (3/6) 3

= (1/2) 3

= 1/8

1/8 is your answer. Hope it helps!

Answer:

The answer is 1/8

Read the screenshot thanks

Answers

Answer:

do your self use your brain picture turmtottgejs s

Step-by-step explanation:

ײ8;49☆☆(3) swcond equqtio

A plane intersects a prism to form a cross section that is a polygon with five sides. The minimum number of sides that the polygon at the base of the prism must have is?

Answers

Answer:

the base must have a minimum of 3 sides

Step-by-step explanation:

Answer:

It's 3

Step-by-step explanation:

333333333333333333333333333333333333333333333333333333333333333333333333333333

Dilate the figure with the origin as the center of dilation.

(x,y) → (0.5x, 0.5y)​

Answers

Answer:

  see attached

Step-by-step explanation:

The dilation factor of 1/2 moves each point to half its previous distance from the origin.

There are 3 circles and 12 squares. What is the simplest ratio of circles to squares?

Answers

Answer:

1:4

Step-by-step explanation:

3 goes to 12 four times

write the equation of the line that passes through the point (0, 3) and is perpendicular.

please help me solve this :)

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

to find the perpendicular line then you have to find the negative reciprocal which is 2 and to get that you flip the fraction and change the sign so

(-1/2) → 2/1 or 2

the y-intercept coordinate is (0, 3) so the y-intercept is 3

Slope of line in attachment=-1/2

Slope of the Perpendicular line=2

passes through (0,3)

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-3=2x[/tex]

[tex]\\ \rm\Rrightarrow y=2x+3[/tex]


If h(x) = x" for some positive constant a, and
h(27x) = 3h(x) for all positive values of x, what is
the value of a ?


Answers

By using the natural logarithm, we will see that the value of a is 0.33

How to get the value of a?

We know that:

h(x) = x^a

And we know that:

h(27x) = 3h(x).

We can rewrite this as:

(27x)^a = 3*(x)^a

And remember that we can distribute exponents, so the left side can be rewritten as:

(27*x)^a = (27^a)*(x^a)

Then we have:

(27^a)*(x^a) = 3*(x)^a

This means that:

27^a = 3

Now remember the rule:

ln(x^n) = n*ln(x)

If we apply the natural logarithm to both sides, we get:

ln(27^a) = ln(3)

a*ln(27) = ln(3)

a = ln(3)/ln(27) = 0.33

If you want to learn more about the natural logarithm, you can read:

https://brainly.com/question/13473114

Krystal Ball's pulse rate is 30% higher than its normal rate of 70bpm. What is her pulse rate? After
lying down it decreased 20%. What is her heart rate now?

Answers

Answer:  

Starting bpm = 91

Resting bpm = 72.8

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

Explanation:

A 30% increase is represented by the multiplier 1.30 because

100% + 30% = 1.00 + 0.30 = 1.30

So Krystal's initial heart rate is 1.30*70 = 91 bpm.

If you wanted, you can think of it like this

30% of 70 = 0.30*70 = 21 is added onto the initial 70 bpm to get 70+21 = 91 bpm.

-----------

To decrease by 20%, we use the multiplier 0.80 since

100% - 20% = 1.00 - 0.20 = 0.80

Losing 20% of something means we keep the remaining 80%

So,

80% of 91 = 0.80*91 = 72.8 bpm.

-----------

Here's one way to find the final bpm in one single line

1.30*0.80*70 = 72.8

in which you could write it like this

(1 + 0.30)*(1 - 0.20)*(70) = 72.8

The second way may be a bit longer, but I find it's more descriptive to see where the percentage increases vs percentage decreases are.

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