At the performance of Seussical the Musical at your local high school, there are adult tickets and
student/child tickets. You're trying to remember the cost of each to tell your extended family to come see the
musical. Your friend, her mom, and her little sister paid a total of $23 on opening night, and you know that
another family paid $39 for two adults and three students. If 2 is cost of adult tickets and y is cost of student tickets, the two equations for these situations can be written as:

Answers

Answer 1

Answer:

The correct answer is -

x+2y = 23

2x+3y= 39

Step-by-step explanation:

given:

cost of family 1 = 23

number of adults in family one = 1

number of children = 2

cost of family 2 = 39

number of adults in family 1 = 2

number of children = 3

solution:

for the first condition of family one-

In this case, there is only one adult and 2 children and they paid 23 then if the adult cost is x and the children ticket cost is y then

number of adults*x+number of children*y = total cost

1*x + 2*y = 23

x+2y= 23 .......equation 1.

for family two:

In this case, there is two adult and 3 children and they paid 39 then if the adult cost is x and the children ticket cost is y then

number of adults*x+number of children*y = total cost

2*x + 3*y = 39

= 2x+3y = 39....... equation 2

thus, the correct equations are:

x+2y = 23

2x+3y= 39

At The Performance Of Seussical The Musical At Your Local High School, There Are Adult Tickets Andstudent/child

Related Questions

find the value of trigonometric ratio​

Answers

Answer:

3/5

Step-by-step explanation:

Cos C = adjacent/hypotenuse

or, Cos C = 21/35 = 3/4

Answered by GAUTHMATH

3025 to binary octal and base 5 ​

Answers

Answer:

for binary 101111010001. for octal 5721. for base 5 - 44100

Set up the ratio for cos(A)

Answers

Answer:

21/35

Step-by-step explanation:

Recall that Cos = Adjacent/Hypotenuse

We want to find Cos A

The adjacent of A is 21 and the hypotenuse is 35

So cos A would equal 21/35

Use index notation to write 248 as a product of its factor

Answers

Answer:

2^3 x 31

Step-by-step explanation:

31 is a prime number

Which statement best describes the function h(t) = 210 - 15t?
Oh is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable.
O h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
O t is the function name; h(t) is the input, or independent variable; and h is the output, or dependent variable.
Ot is the function name; h is the input, or independent variable; and h(t) is the output, or dependent variable.

Answers

Answer:

h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Step-by-step explanation:

The explanation is in the answer.

h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.

The given function is h(t) = 210 - 15t

The function is named h, and it takes an input value t (the independent variable) and produces an output value 15t (the dependent variable).

The function is often written as h(t) = 15t to make it clear that h is a function of t.

Hence, h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.

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Find the center and radius of the circle and sketch its graph
X^2+y^2=9

Answers

Answer:

Centre (0,0)

Radius √9 = 3

I've attached a graph if the circle with it

Answered by GAUTHMATH

help me please
[tex] \frac{ \cos(80) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(70) } = 2 \\ \\ \frac{ \cot(40) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(115) } = 2[/tex]

Answers

Answer:

[tex] \frac{ \cos(80) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(70) } = 2 \\ \frac{ \cos(90 - 10) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(9 0 - 20) } = 2 \\ \frac{ \sin(10) }{ \sin(10) } + \frac{ \sin(20) }{ \sin(20) } = 2 \\ 1 + 1 = 2 \\ 2 = 2 \\ \\ \frac{ \cot(40) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(115) } = 2 \\ \frac{ \cot(90 - 50) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(90 + 65) } = 2 \\ \frac{ \tan(50) }{ \tan(50) } + \frac{ \cos(65) }{ \cos(65) } = 2 \\ 1 + 1 \\ = 2[/tex]

using Euclids division algorithm, find the largest number that divides 475 and 871 leaving 7 as the remainder in each case​

Answers

Answer:36

Step-by-step explanation:

gcd(475-7,871-7)=gcd(468,864)=36

[tex]\begin{array}{c|c|c|c|c|c}&0&1&1&5&2\\468&864&468&396&72&\boxed{36}\\468&396&72&36&0\\\end{array}[/tex]

Pls pls help me! What is it

Answers

Answer:

H

Step-by-step explanation:

Jackie

[tex] \sqrt{9} + \sqrt{25} = 3 + 5 = 8[/tex]

Jesse

[tex] \sqrt{9 + 25} = \sqrt{34} [/tex]

Taking the difference, we get the answer to be

[tex]8 - \sqrt{34} [/tex]

Under his cell phone plan, Christopher pays a flat cost of $52 per month and $5 per
gigabyte. He wants to keep his bill at $75 per month. Which tape diagram could be
used to represent the context if x represents the number of gigabytes of data
Christopher can use while staying within his budget?

Answers

52 + 5x= 75. The answer is c

According to the given information, the tape diagram shown in option C is correct.

Use the concept of inequality defined as:

An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.

Given that,

The cost per month = $52

The cost per gigabyte = $5

He wants to keep his bill at $75 per month.

According to the given information the inequality expression be:

52 + 5x ≤ 75

Since now let x = 3

The LHS be:

52 + 15  = 67 < 75

Therefore,

The correct combination be:

52 + 5 + 5 + 5 < 75

Hence,

The tape diagram shown in option C is correct.

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Kathryn plants two different types of tomato plant. She records the number of tomatoes that she picks from each plant every day. Her records are shown below:
Plant A: 4, 6, 7, 3, 5, 2, 1, 3, 6, 5
Plant B: 5, 6, 7, 6, 8, 9, 6, 7, 7, 9
Which plant has the more consistent yield of tomatoes?


not enough information to tell

they produce about the same amount of plants

Plant A

Plant B

Answers

Answer:

Plant B

Step-by-step explanation:

When you compare the number of tomatoes she picks from plant B with plant A, you will notice that plant B has not produced less tomatoes than plant A in any day but it has either produced the same or more number of tomatoes.

I need help asap!!!!Please explain the answer

Answers

Answer:

5th option

Step-by-step explanation:

The secant- tangent angle DCB is half the difference of the intercepted arcs, that is

∠ 1 = [tex]\frac{1}{2}[/tex] ( AD - BD)

If the graph of y=|x| is translated so that the point (1,1) is moved to (4,1) what is the equation of the new graph?

Answers

This question is solved using translation concepts, and doing this, it is found that the equation of the new graph is:

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

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

When a function f(x) is translated a units to the left, we get f(x - a).

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

In this question:

The original function is [tex]y = |x|[/tex]

Point (1,1) is moved to (4,1), that is, 3 is added to the x-coordinate, meaning that the function was shifted 3 units to the left.

Thus, the new equation is:

[tex]y = g(x) = f(x - 3) = |x - 3|[/tex]

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PLZ HELP ME I NEED TO GET THIS RIGHT 20 POINTS


1.) the table shows the weight in kilograms of 10 players on a college basketball team.

Weight (kg)
[54, 52, 65, 63, 62, 60, 58, 53, 51, 50]

Which statement is NOT true about this data?

A.) the median is one of the values listed in the table
B.) the mode of the data is 60
C.) the mean is less than the median
D.) the data set had no matter



2.) This table shows the amount of money in dollars that a group of seventh grade students spend on food each day.

Carol=2
Anna=3
Sophie=11
Tom=3
Jackie=1

Which measure of central tendency is most affected by the amount of money that Sophie spends?

A.) the median only
B.) the mean only
C.) the mode only
D.) the mean and the median


3.) This table shows the results of a survey that asked a group of people what time of day their favorite tv show aired.

5:00=3
6:00=5
7:00=10
8:00=21
9:00=25
10:00=15
11:00=12

What time corresponds to the mode of this set of data?

A.) 8:00 pm
B.) 9:00 pm
C.) 10:00 pm
D.) 11:00 pm​

Answers

Answer:

A, B, B

Step-by-step explanation:

1) A. The median is 56. There are two middle values 54 & 58. Add them together Snd divide by 2 = 56. 56 is is not of the listed values.

2) B. The mean or Adding all numbers together and dividing by total number of added digits is most affected by that much higher number. The mode, or most repeated number, is unaffected completely. As is the middle or median number in the list going from lowest to highest.

3). B. 9:00 pm is the most repeated survey result. Simple as that.

Please help me solve this last problem guys

Answers

Answer:

[tex]\frac{x+4}{4x-4}[/tex]

Step-by-step explanation:

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.

Answers

Answer:

Hello,

Step-by-step explanation:

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.

[tex]P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...[/tex]

What is the least common multiple of 4 and 12? O 4 O 12 O 24 o ) 48​

Answers

Answer:

12

Step-by-step explanation:

Least common multiple means what is the smallest number that both numbers go into

List the prime factors

4= 2*2

12 = 2*2*3

The factors that are in needed to make both are 2 and 3

We need 2 of the 2's and 1 3

2*2*3 = 12

Answer:

12

Step-by-step explanation:

Which of the following scores has the better relative position ( as measured by the z score) a. A score of 53 on a test for which the sample mean is 50. b. A score of 230 on a test for which the sample mean is 200. c. A score of 480 on a test for which the sample mean is 400. d. Cannot be determined with the information provided.

Answers

Answer:

d. Cannot be determined with the information provided.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Finding the better relative position:

The score with the better relative position is the one with a higher z-score.

To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.

If SP and CP of an article is Rs. x and Rs. y, write the formulae to find profit and loss percentage.​

Answers

Answer:

profit= sp-cp

loss %= loss ×100%/cp

=(cp-sp) ×100%/cp

= (1-sp)×100%/cp

if tolu collects a loan of #250,000 from a bank at the rate of 11 whole number 1 over 2% interest how much will she pay as interest at the end of the year​

Answers

Answer:

# 28750

Step-by-step explanation:

Intrest = P. A. * Intrest Rate * Time

Intrest = 250000 * 11.5/100 = 28750

I need help plss ( math ) SOMEONE ASAP

Answers

26a)729

b)2,457.6

c)3,500

d)8,100

e) 89,600

Step-by-step explanation:

just multiply first and divide with upper number to the lower

Verify that –(-x) is the same as x , for x = −4/5

Answers

Answer:

Step-by-step explanation:

-(--4,5)= -(4,5)= -4,5

WILL MARK BRAINLIEST !!!
the polygons are similar. Find the scale factor of the smaller figure to the larger figure​

Answers

Answer:

2:5

Step-by-step explanation:

I’ve attached my work
Hope it helps

Point slope formula.. help

Answers

Answer:   y = 2x+6

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

Explanation:

We'll need the slope first

m = slope

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

m = (0-(-4))/(-3-(-5))

m = (0+4)/(-3+5)

m = 4/2

m = 2

The slope is 2.

Next, pick either of the two given points to play the role of [tex](x_1,y_1)[/tex]

Let's say we picked on (-5,-4). The order doesn't matter so you could easily pick the other point as well.

We'll plug these items into the point slope equation below to solve for y.

[tex]y - y_1 = m(x - x_1)\\\\y - (-4) = 2(x - (-5))\\\\y + 4 = 2(x +5)\\\\y + 4 = 2x +10\\\\y = 2x +10-4\\\\y = 2x +6\\\\[/tex]

Or we could have picked on (-3,0). The m value stays the same (at m = 2)

[tex]y - y_1 = m(x - x_1)\\\\y - 0 = 2(x - (-3))\\\\y = 2(x +3)\\\\y = 2x+6\\\\[/tex]

This one takes a few less steps. Either way, we get to the same answer.

You only need to pick one of the points, but doing both of them helps show that the two points are on the same line. It helps confirm the answer.

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

Another way to check the answer is to plug the (x,y) coordinates into y = 2x+6 for each point.

So let's say we check (x,y) = (-5,-4)

y = 2x+6

-4 = 2(-5)+6 ... replace x with -5, replace y with -4

-4 = -10+6

-4 = -4

This confirms the first point. I'll let you check the second point.

Answer:

y = 2x+6

Step-by-step explanation:

Attached below is my graph

I graphed the two points, and formed a line

From the point (0,0), i counted the units till the first point the line touches on the y axis (6)

This is the y intercept

The slope-intercept form is written as y = mx+b

m = slope

b = y intercept

So so far we have y = mx + 6

The slope is the rise to the next point the line touches, over the run

You can see that as it rises 2, it runs 1

Rise / Run = 2/1 = 2

Slope = 2

Equation: y = 2x + 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the distance between the pair of points

(0,0)(6,8)

Answers

A(0,0)B=(6,8)

Distance formula

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

[tex]\\ \sf\longmapsto \sqrt{(6 - 0) {}^{2} + {(8 - 0)}^{2} } \\ \\ \sf\longmapsto \sqrt{ {6}^{2} + {8}^{2} } \\ \\ \sf\longmapsto \sqrt{36 + 64 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10[/tex]

The tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?

Answers

Answer:

£10.1

Step-by-step explanation:

Highest exchange rate=1.3401

Lowest exchange rate=1.3199

The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1

First get the gcf of 16x³ + 250 which is 2 then divide it which has the result of 8x³ + 125 then get the square root of 8x³ and 125

Answers

(-5/2, 0) hope this helps

What is the distance between (-3, -4) and (2,2)

Answers

Answer:

I did for you but I don't know you will understand my HANDWRITING or not .

:(

Exact Form:

61
61
Decimal Form:
7.81024967

I need help to find y=

Answers

Answer:

I know but I will not tell you have to do by self

Identify the equation of the circle that has its center at (7, -24) and passes through the origin.

Answers

Answer:

[tex](x-7)^{2}[/tex] + [tex](y+24)^{2}[/tex] = [tex]625[/tex]

Step-by-step explanation:

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