The school that Mark attends is selling tickets to a spring musical. On the first day
of ticket sales, the school sold 3 adult tickets and 8 student tickets for a total of $60.
The school took in $88 on the second day by selling 10 adult tickets and 8 student
tickets. What is the price of each adult ticket and child ticket?
Adult: $
Student: $

Answers

Answer 1

Answer:

Adult=4, Student=6

Step-by-step explanation:

a=adult, s=student

3a+8s=60 equation 1

10a+8s=88 equation 2

-3a-8s=-60 multiply equation 1 by -1

 7a = 28 add above 2 equations

     a=4

solve for s by inserting a value into either equation

3a+8s=60

3(4)+8s=60

12+8s=60

8s=48

s=6


Related Questions

what is 0.8 divided by 62 as a decimal please help this is a finals

Answers

0.8 divided by 62 equals 0.80 or 80 percent (%)

Answer:

0.0129032258

Step-by-step explanation:

I simply did long division.

0.8 divided by 62 = 0.0129032258

Aline having a slope of 3/4 passes through the point (-8,4) What would the
equation look like before you solve it, if you were plugging these numbers into the
slope-intercept equation (y=mx+b)?
HELP ME

Answers

Answer:

y=3/4x + 10

Step-by-step explanation:

First, lets put this into Point-Slope form: y-4 = 3/4(x+8)

Now, lets modify the equation in our favor, getting the "y" alone on the left hand side:  y-4 = 3/4(x+8)

                     +4                   +4

-----------------------------------------------

                  y=3/4(x+8)+4

Now, lets simplify....

                  y=3/4x + 6 + 4 = y = 3/4x+10

And we are done!

Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error

Answers

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.

What is the likely means of measurement for the data in the chart below?

a. 100-meter run data
b. seconds
c. stop watch
d. 7 observations

Answers

Answer:

C

Step-by-step explanation:

I might be wrong. I hope it helps:)

May be is C I’m not sure

A regular octagon has a perimeter of 30 centimeters. Find the length of each side.

Answers

Step-by-step explanation:

Perimeter=8l

30cm=8l

l=30/8=3.75cm

Answer and Step-by-step explanation:

An octagon has 8 sides in total. The perimeter of a shape is the sum of all sides added together.

To find the length of each side, we divide the perimeter by the amount of sides.

30 ÷ 8 = 3.75

The answer is 3.75 centimeters.

#teamtrees #PAW (Plant And Water)

Help please! The area of a swimming pool is 45 square meters. The width of the pool is 3 meters. What is the length of the pool in centimeters?

Answers

Answer: 15 m

Step-by-step explanation:

Given

The area of the swimming pool is [tex]A=45\ m^2[/tex]

Width of the pool is [tex]w=3\ m[/tex]

Suppose l is the length of the pool

So, the area is given by the multiplication of length and width

[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]

So, the length of the pool is 15 m.

The quantity of an element is decaying over time such that the amount of material at
any time is given by the function S(t) = 1000(0.9)3t. Write an equivalent function
of the form S(t) = abt.

Answers

Answer:

S(t) = 1000(0.729)^t

Step-by-step explanation:

S(t) = 1000(0.9)^(3t)

S(t) = 1000((.09)^(3))^t

S(t) = 1000(0.729)^t

explain why 7x+3 cannot be factorised

Answers

Answer:

There is no common factor

Step-by-step explanation:

Leo designs the skateboard ramp shown in the diagram. Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.

Answers

Answer:

h = 50 inches

Step-by-step explanation:

To find the value of h, we are to use the appropriate trigonometric ratio

The given angle faces the unknown length and that makes the unknown length the opposite side

The given side faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects the opposite and the hypotenuse is the sine

The sine of an angle is the ratio of the opposite side to the hypotenuse

Thus, we have it that;

sin 23 = h/129

h = 129 * sin 23

h = 50 inches

The distance around a circular park is 176 yards. What is the area of the park? Use 22/7 for π.

Answers

Answer:

2464 yd²

Step-by-step explanation:

Use the circle circumference formula: 2πr

2·[tex]\frac{22}{7}[/tex]·r=176

[tex]\frac{44}{7}[/tex]r=176

r=176·[tex]\frac{7}{44}[/tex]

r=28

Area of circle formula: πr²

[tex]\frac{22}{7}[/tex]·r²

[tex]\frac{22}{7}[/tex]·28²

[tex]\frac{22}{7}[/tex]·784

=2464 yd²

WILL GIVE BRAINLIEST AND 20 POINTS!
Find the slope of the line in the following graph using the points on the graph. Write the exact answer. Do not round. If the slope does not exist, write DNE for your answer.
(-5,2)(6,7)

Answers

Answer:

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

y2 = 7

y1 = 2

x2 = 6

x1 = - 5

There is no particular reason for choosing which one is (x2,y2) and (x1,y1) The slope would turn out to be the same which ever way you tried it.

slope = (7 - 2)/(6 - - 5)   Notice the double minus. One of the minus symbols belongs to the formula and the other belongs to the 5

slope = 5/(6 + 5)

slope = 5/11

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

The slope of a line that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1,y_1)=(-5,2),\\(x_2, y_2)=(6,7)[/tex]

The slope of the line, [tex]m[/tex], that passes through these points is equal to:

[tex]n=\frac{7-2}{6-(-5)}=\frac{5}{6+5}=\boxed{\frac{5}{11}}[/tex]

Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3

Answers

Answer:

y = -0.2(x) + 3

Step-by-step explanation:

One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.

Our two points are then (5, 2) and (0,3)

To find the slope, we can use

[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2[/tex]

Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get

2 = -0.2 (5)  +b

2 = -1 + b

add 1 to both sides to isolate the b

b = 3

Our formula is thus

y = -0.2(x) + 3

SOMEBODY PLEASE HELPPP ME!!!!

Answers

Answer:

15.6

Step-by-step explanation:

We see a dilation. So the ratio between UT and XW is 2:7.8. That is 1:3.9. If we put 4 in the 1 place, then we get 15.6

Please give brainliest

Hope this helped

Plsss Answer 100% will mark as brainlist!!!
In the following figure ABCD, find the value of x​

Answers

Answer:

80°

because its diagnol so the one in the top corner is the same as x

Answer:

x = 140°

Step-by-step explanation:

Sum of exterior angles of polygon is 360°

That is, x + 70 + 80 + 70 = 360

           x + 220 = 360

           x = 360 - 220 = 140°

Please help (add work/reasoning if you can)

Answers

Answer:

A

[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]

A is the right answer

Help anybody please idem

Answers

Answer:

-64

Step-by-step explanation:

f(x)=-4^x

f(3)=-4^3=-64

Answer:

-64

Step-by-step explanation:

1) Substitute x with 3

-4^3

2) solve

-64

Help me this is due soon

Answers

Answer:

It's (-1.5,-5.5)

Step-by-step explanation:

Answer:

-1.5 , -5.5

Step-by-step explanation:

If a randomly thrown dart hits the board below, what is the probability it will hit the shaded region?​

Answers

4 shaded areas are shaded in, 8 areas in total. 4/8, that’s 50% of the dart hitting the shaded areas. I say it’s likely

Solve for x.


Please helpppp!

Answers

Answer:

Pythagoreas Theorem

Step-by-step explanation:

a^2+b^2=c^2

4^2+b^2=15^2

16+b^2=225

b^2= 209

14.45=b

PLZ HURYY
THANK YOUU​

Answers

y = -19

I started by adding 18 to both sides(inverse operation) then dividing by -2 to isolate the variable. What you do to one side must be done to the other


A large bag contains 16 red, 48 blue, and 16 green marbles. Each student in Mrs. Wynn's class randomly selects a marble, records the color, and then puts the marble back into the bag. Mrs. Wynn then reports the total number of red, blue, and green marbles selected by the entire class.

Which of these statements are true? Choose all that are correct.


A.
Theoretically, the probability of selecting one red marble from this bag is 0.20.


B.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.


C.
If there are 30 students in the class, the total number of blue marbles selected should be about 18 but may be more or less.


D.
It is possible that every student selects a green marble.


E.
If the total number of red marbles selected is not equal to the total number of green marbles selected, then there was a mistake in selecting the marbles or recording the data.

Answers

Answer:

Find the volume of this prism.

Theoretically, the probability of selecting one red marble from this bag is 0.20.

If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.

What are the probabilities?

Probability determines how likely it is an event would happen. The chances of the event happening lie between 0 and 1.

The probability of selecting one red marble from this bag = number of red marbles / total number of marbles

16 / 80 = 0.20

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

can someone help me please​

Answers

Answer:

B and E

Step-by-step explanation:

3^-8/3^-4 = 1/81 or .01234567...

I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.

3^-12 = 1/531441 <- not the answer

3^-4 = 1/81 <- answer!

3^2 = 9

1/3^2 = 1/9

1/3^4 = 1/81

1/3^12 = 1/531441

its also good to remember

3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.

Hope this helps!

[tex]B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ [/tex]

Step-by-step explanation:

[tex] \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Which
expression is equivalent to
X^-5/3

Answers

Answer:

-(5-3) is the answer bcoz - make 5 negative and 3 positive

Step-by-step explanation:

I hope this will help you

Write the following as an inequality.
2 is less than w, and 7 is greater than or equal to w
Use w only once in your inequality.

Answers

Answer:

2 > w ≤ 7

Step-by-step explanation:

write an equation of the line in slope intercept form

Answers

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex] is the slope intercept

[tex]m[/tex] is the slope

[tex]b[/tex] is the y-intercept

The slope in the graph is 4/2 or 2 simplified. From point (-2,6), you have to go down 4 and right 2 to get to the point (0,2)

The y-intercept is 2 because the line crosses the y axis at exactly 2.

Hope this helps

On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons of gas with us the average gas mileage for Stephanie car?

Answers

Answer:

0.0428 miles per gallon

Step-by-step explanation:

On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons

Given data

Distance driven = 280miles

Fuel used= 12 gallons

Hence the gas per mile is expressed as

Gas per mile= 12/280

Gas per mile= 0.0428 miles per gallon

Line A and Line B are
perpendicular lines.
If the slope of Line
A is 4/5, what is
the slope of Line B?

Answers

Answer:

C

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] ← slope of line B

The answer is

-5/4

this is dude to the slip being perpendicular which means that Line B will be the opposite reciprocal to Line A.

Line A=4/5
Line B=-5/4

solve using the quadratic formula 2x^2+9x=5

Answers

Answer:

x = -1/2, x = -5    OR    x = -0.5 and x = -4

Step-by-step explanation:

I’ll just put a picture, I can’t fully explain digitally.    ;D

Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.

Answers

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

----------------------------------

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

If I = “-1” then i2 =

Answers

Answer:

-2

Step-by-step explanation:

negative times positive equal negative so

-1×2= -2

Answer:

[tex] \large{ \tt{✺ \: EXPLANATION}} : [/tex]

We're provided - i = -1 & we're asked to find out the value of i².

Plug the value of ( i ) in ( i ²) , it would be ( - 1 ² ). Now , You must have known that when the two negative integers are multiplied , the result will be a positive integer i.e ( - 1 ) × ( - 1 ) = 1 .

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER: \boxed{1}}}}}[/tex]

☂ Let me know if you have any questions regarding my answer :)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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