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

the eqashion -4 x <-2

Answers

Answer:

8  

Step-by-step explanation:

Brainliest! How can I solve this?

Answers

The parabola with the vertex is (-4,2)

Find the measure of the arc DC

Answers

Answer:

The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°

Step-by-step explanation:

Write in slope-intercept form an equation of the line that passes through the points (-3, 2) and (1, -10).

Answers

Answer: y=-3x-7

Explanation: In the form y=mx+b, m is the slope and b is the y-intercept. To find the slope given 2 points, you can use the method: (y2-y1)/(x2-x1). When you substitute the points into this formula, it becomes:

(2-(-10))/((-3)-1)
=12/-4
=-3
m=-3

Now that you have the value of m, your equation becomes: y=-3x+b. All you need to do now is find b. To do so, you can choose either one of the points to substitute into your equation. I’ll use the first point as an example:

2=-3(-3)+b
2=9+b
b=-7

Now that you have the value of b, you can write in the final equation: y=-3x-7.

Hope that helps シ

What is the angle e in the triangle below? (Hint: Use an inverse trigonometric
function.)
A. 22.00
B. 45.30
C. 0.38
D. 68.00

Answers

Answer:

A

Step-by-step explanation:

sin θ=3/8

θ=sin ^{-1}(3/8)

≈22.02 °

Answer:

About 22 degrees

Step-by-step explanation:

Since we are given the opposite side measurement to the angle we wish to find and the hypotenuse measurement, we will want to use sine.

sin(theta)=3/8

theta=arcsin(3/8)

theta=22.024 approximately

If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab

Answers

Answer:

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Step-by-step explanation:

Point P:

The coordinates of point P are (x,y).

AP=3/7 AB

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

We apply this both for coordinate x and coordinate y.

Coordinate x:

[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]

[tex]x + 2 = \frac{12}{7}[/tex]

[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]

Coordinate y:

[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]

[tex]y + 2 = -\frac{6}{7}[/tex]

[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Surface area.. please answer

Answers

160, I think. SA=2(lw+lh+wh).

[tex] \boxed{ \mathfrak{\huge \: \underline{ \underline{A nswer} }: }}[/tex]

Given terms :

[tex]\hookrightarrow \: length = 8 \: in[/tex]

[tex]\hookrightarrow \: width = 2 \: in[/tex]

[tex] \hookrightarrow \: height = 12 \: in[/tex]

we know,

[tex] \large\boxed{ \mathrm{surface \: \: area \: (a) = 2(lw + wh + lh)}}[/tex]

[tex]\hookrightarrow \mathrm{\: a = 2 \times \bigg [(8 \times 2) + (2 \times 12) + (8 \times 12) \biggr]}[/tex]

[tex]\hookrightarrow a = 2 \times \biggr[16 + 24 + 96 \biggr][/tex]

[tex]\hookrightarrow \: a = \bigg [\: 2 \times 136\bigg ][/tex]

[tex]\hookrightarrow \large \boxed{ \mathrm{a = 272 \: \: in {}^{3} }}[/tex]

____________________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

can someone help please

Answers

It’s option b since the formula of perimeter is width+length+width+length

Michals basketball team practiced for 2hours 40 minutes yesterday and 3 hours 15 minutes today how much longer did the team practice today than yesterday

Answers

Answer:

35 minutes

Step-by-step explanation:

The is calculated using the Subtraction operation

The number of minutes longer the team practiced today than yesterday =

Number of minutes they practiced today - Number of minutes they practiced yesterday

Number of minutes they practiced today = 3 hours 15 minutes

Number of minutes they practiced yesterday = 2hours 40 minutes

The number of minutes longer the team practiced today than yesterday =

3 hours 15 minutes - 2hours 40 minutes

= 35 minutes

Therefore, the team practiced 35 minutes longer today than yesterday

How do I solve this

Answers

For all real numbers, except zero, a x 1/a = 1

Multiplying any real number by it’s reciprocal will result in 1.
This is why a reciprocal of a number is called it’s multiplicative inverse.

The reciprocal of zero is 1/0 and is undefined because dividing by zero is not valid.

Please help with this!

Answers

Answer:

pls help me tooo answer that

On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?
1:64
1:5
1:32
1:12

Answers

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64

the distance from the earth to the sun is( 1.496 x 10^11 ) m and the distance between earth and moon is 3.84 x 10^8 m. during solar eclipse, moon comes in between earth and sun, at the time what is the distance between moon and sun?

Answers

Answer:

1.49216 x 10^11 m.

Step-by-step explanation:

That would be the following difference:

1.496 x 10^11 - 3.84 x 10^8

= 1.49216 x 10^11 m.

Find the equation of a line with slope - 5 passing through the point A(-3, 6).

Answers

Answer:

y=5x-9

Step-by-step explanation:

-5(-3)+b=6

15+b=6

B=-9

65• 45• work out the size of angle

Answers

Answer:

x = 70

Step-by-step explanation:

The sum of the angles of a triangle add to 180

65+45+x = 180

Combine like terms

110+x = 180

Subtract 110 from each side

x = 180-110

x = 70

Can someone please help me find the measure of angle ABO?

Answers

Answer:

m<ABO = 22 deg

Step-by-step explanation:

A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.

m<O + m<B = 90

68 + m<B = 90

m<B = 22

Answer: m<ABO = 22 deg

URGENT PLS HELP!!!
divide £4500 in the ratio 3:7

Answers

Answer:

£1350 & £3150

Step-by-step explanation:

[tex]3x+7x=4500\\10x=4500\\x=450\\\\3(450)=1350\\7(450)=3150[/tex]

help me pleaseee asap

Answers

Answer:

I think the answer is the blue box

What equation is equivalent to (1/3)^x = 27^x+2?

Answers

Answer:

Step-by-step explanation:

B

please I really need the help:(

Answers

Answer:

41

Step-by-step explanation:

The formula for solving for sin is opposite side/hypotenuse.

The opposite side of <A is BC (28 units) and the hypotenuse is AB (53 units).

sin A = 28/53

A = sin^-1(28/53) --> To remove the sin, you have to multiply the inverse of sin on both sides.

A ≈ 41

Hope this helped! <3

what is the distance between a and b
a 45
b 20
c 25
d 60​

Answers

The answer is 25 :)

\ 4 people are going to a dinner party. Each person at the party will eat 56 pound of salad. If you can only buy whole pounds of salad, how many pounds should you buy?

Answers

Answer:

224 pounds

step by step :

one person eat 56 pound and we have four person so we must say that :

56 × 4 = 224 pounds

In a recent survey,5 out of every 11 dentists recommend fluoride. If there are 690 dentists surveyed, how many are recommend fluoride?

Answers

Answer:

314

Step-by-step explanation:

HELP PLEASE!!!! SHOW WORK!!!
7) Kristof wants to build a new rectangular pen for Sven to live in. Kristof measures and finds that the width of the fence is 3x + 4. He also knows that he wants the length of the fence to be 4 times the width.

a) Create an expression that could be used to find the perimeter of the fence.
b) If Kristof knows that the perimeter of the fence is 280 feet, what is the length and width of the fence?

Answers

bla bbbksnsjisjsjabhis sibelius

Answer: 5

Step-by-step explanation:

In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother Does not have a brother
Has a sister
3
12
Does not have a sister
2.

Answers

Answer:

Step-by-step explanation:

First we need to calculate how many total students there are. Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.

Total Students = 3 + 12 + 2 + 7 = 24 students

Probabilities:

does not have a sister = [tex]\frac{2 + 7}{24}[/tex] = 0.375 or 37.5%  (multiply decimal by 100 to get percentage.

Has a brother = [tex]\frac{3 + 2}{24}[/tex] = 0.208 or 20.8%

Does not have a brother = [tex]\frac{12 + 7}{24}[/tex] = 0.7916 or 79.2%

Has a sister = [tex]\frac{3 + 12}{24}[/tex] = 0.625 or 62.5%

Please help test tomorrow everything you need is in the photo below

Answers

Answer:

yes

Step-by-step explanation:

If the measure of arc CB is 8/3 pi units, what is the measure of angle CAB


Answers

Answer:

120° = CAB

arc lenght = CÁB/ 360 × 2(pi)(4)

a/2pi(4) = CAB/360

8/3(pi)/2(pi)(4) × 360 = CÁB

120 = CAB

Answer:

120°

Step-by-step explanation:

that is the procedure above

need help asapppp!!! plz i will give brainliest to the person with the correct answer

Answers

Answer:

Multiply x by 4 and make x negative if it's positive or make x positive if it's negative.

Step-by-step explanation:

Multiplying x by a number greater than 1 will stretch the parabola.

Changing x from positive to negative and vice versa reflects the parabola over the x-axis.

Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 4.5 inches. How many miles do they have to drive if the map scale is 1 in. = 40 mi?

A. 10 miles

B. 220 miles

C. 1/10 miles

D. 180 miles

Answers

Answer:

d 180 miles

Step-by-step explanation:

4.5×40= 180 miles

The actual distance to college Lisa and Susan going together is 180 miles.

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The map scale is 1 in. = 40 mi.

Lisa and Susan are driving to college together, On the map, Lisa measures the distance to be 4.5 inches.

Therefore,

The actual distance to college is,

= (4.5×40) miles.

= 180 miles.

learn more about scale factors here :

https://brainly.com/question/30215119

#SPJ2

A debt payment of $5,500 is due in 27 months. If money is
worth 8.4% p.a. compounded quarterly, what is the equivalent
payment? Now? 15 months? 27 months? 36 months?

Answers

Step-by-step explanation:

A=P(1+0.084) ^n;

=5500(1

The payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.

Interest rate = 8.4/4 =2.1% = 0.021 every 3 months

The debt of $5500 is due in 27 months.

What is the formula to find compound interest?

The formula to find the compound interest is  [tex]FV=PV(1+r)^{n}[/tex].

Now, [tex]PV=FV(1+r)^{-n}[/tex].

The payment now:

5500*(1.021)^-9 = $4561.7450

So if $5500 is due in 27 months its current value is $4561.7450.

( b) 15 months from now? 5 quarters  

FV(15months)= 4561.75*1.021^5

4561.75*1.021^5 = $5061.28

(c) 27 months from now? 9 quarters

FV(15 months)= $5500  that was given in the question

Verification:

FV(27months)=4561.75*1.021^9

4561.75*1.021^9 = $5500.00595

(d) 36 months from now?   12 quarters

FV(36months)=4561.75*1.021^12

4561.75*1.021^12 = $5853.83

Therefore, the payment now is $4561.7450, 15 months later $5061.28, 27 months later $5500.00595 and 36 months later $5853.83.

To learn more about compound interest visit:

https://brainly.com/question/14295570.

#SPJ2

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