Mr. Sims bought 9 tickets to a puppet show and spent $57. He bought a combination of child tickets for $3 each and adult tickets for $9 each.
Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?

Answers

Answer 1

Answer:

x =number of child tickets

y=number of adult tickets

x + y = 9

3x +9y = 57

x = 9-y

3(9-y) + 9y =57

27 - 3y + 9y = 57

6y = 30

y=5 adult tickets

x = 4 child tickets

Answer 2

Answer:

adult's tickets a=5

child's tickets c=4

Step-by-step explanation:

a+c=9

9a+3c=57

c=9-a

3a+c=19

3a+9-c=19

2a=10

a=5

c=9-a=9-5=4


Related Questions

PLLSS HELP ILL GIVE BRAINLIST PLLLLLSSSS

Identify the multiplication problem that matches the model.



3 x 3


3 x

3

5


2 x

3

5


3 x

Answers

I believe it’s 3 x 3


A parking lot has 208 parking spots divided into equal rows. The total number of rows is
between 10 and 15. How many rows are in the parking lot?

Answers

It would be 13. If you divide 208 by those numbers only 13 is a real number.

Please help (7th grade math)
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?

(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)

Answers

The scatter plot shows the association between the ordered pairs

The two ordered pairs that can be joined to best draw the line of best fit for this scatter plot are (0, 13) and (10, 0)

How to determine the two best ordered pairs?

To draw the line of best fit, the line must pass through at least two points such that the number of points on either sides of the line must be equal

See attachment for illustration

From the attached image of the graph, we can see that the line passes through the points (0, 13) and (10, 0), and there are 4 points on either sides

Hence, the two ordered pairs are (0, 13) and (10, 0)

Read more about scatter plots at:

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Answer: (0,13) and (10,0)

Step-by-step explanation:

I took the test on flvs.net

Solve for X.
[tex]\frac{3}{x} =9[/tex]

Answers

Answer:

[tex]x=\frac{1}{3}[/tex]

Step-by-step explanation:

You cross multiply the x under 3 and multiply it by 9;

[tex]3=9x[/tex]

Divide both sides by 9;

[tex]\frac{3}{9} =x[/tex]

3/9 can also be called 1/3;

[tex]x=\frac{1}{3}[/tex]

Hope This Helps! :)

I need help this question says solve for x. Round to the nearest tenth, if necessary

Answers

Answer: 49.8

Step-by-step explanation:

For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050

Answers

The year the model would most likely  be sufficient to make a prediction of the population is 2005.

What year would be sufficient to make a prediction?

The model of the population is an exponential function. An exponential function usually has the form: [tex]ab^{x}[/tex]. An exponential function is usually most accurate when the time horizon of prediction is the shortest. Based on the options, the shortest time after 2000 is 2005.

Please find attached the complete question. To learn more about exponential functions, please check: https://brainly.com/question/26331578

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Complete the equation of this circle:
A
1
[ ]=z([_]_^)+z([ ¿ ] − x)
Enter ⚠️NEED HELP ASAP WILL GIVE BRAINLIEST⚠️

Answers

Answer:

(x - 3)^2 + (y - 2)^2 = 4^2

Step-by-step explanation:

Looking at the graph its obviously a circle as it said.

We have to find (h,k) and the radius of that circle.

(h, k)  = (3,2)

Origin to the edge of the A.

radius = 4

(x - 3)^2 + (y - 2)^2 = 4^2

a. (-2,4) (-1,1) (-3,-1) (-5,2)
b. (2,4) (1,1) (3,1) (5,2)
c. (4,2) (1,1) (1,3) (2,5)
d. (4,-2) (1,-1) (-1,-3) (2,-5)

Answers

Answer:

S'(4, -2) and T'(1, -1) and U'(-1, -3) and V'(2, -5)

Step-by-step explanation:

[tex]Find\ the\ coordinates\ of\ the\ point\ after\ reflected\ in\ the\ line\ of\ symmetry:\\ \downarrow\\ S'(-4,-2)\ and\ T'(1,-1)\ and\ U'(-1,-3)\ and\ V'(2,-5)[/tex]

I hope this helps you

:)

please help :)))))))))))))

Answers

Answer:

C

Step-by-step explanation:

If that is wrong tell me. I am sure it is right tho

you purchase a used car for 5000 and discover that it decreases 10% per year write an equation that represents this situation

Answers

Answer:

See below

Step-by-step explanation:

Decreasing 10% means the car retains 90 % of its value

Value of car = 5000 ( .90)^x      where x = number of years

WILL GIVE BRAINLIEST:

each graph shows a relation the first and second numbers of each ordered pair in the relation are members of the set of real numbers in each case find the domain and the range of the relation and determine whether the relation is a function

Answers

Answer:

see the explanation

Step-by-step explanation:

the half-circle is a function because there is only one x value for each y value

the full circle is a relation becaue he circle intersects the y-axis at 1 and -1

Answer:

For the second one:

Domain: -2≤x≤2

Range: -2≤y≤2

The relation is not a function

Step-by-step explanation:

Solve the system y=-x+7 and y=-.5(x-3)^2+8

Answers

The answer is in between the numbers of 5 to 3

Please help me I can’t figure it out

Answers

Answer:

20

Step-by-step explanation:

To evaluate the expression for a= 3, replace (or 'substitute') every 'a' you see with a '3' in the expression.

Given expression: 32 -4a

When a= 3,

32 -4a

= 32 -4(3)

= 32 -12

= 20

Answer:

20 is the value of expression when a is equal to 3 .

Step-by-step explanation:

In the question we're given with an expression that is 32 - 4a , value of a is 3 . And we are asked to evaluate the expression for a = 3 .

Solution : -

[tex] \longmapsto \: 32 - 4a[/tex]

Step 1 : Substituting value of a in given expression :

[tex] \longmapsto \:32 - 4(3)[/tex]

Step 2 : Multiplying 4 with 3 :

[tex] \longmapsto \:32 - 12[/tex]

Step 3 : Subtracting 12 from 32 :

[tex] \longmapsto \: \red{\boxed{ \frak{20}}}[/tex]

Therefore , value of expression for 3 is 20 .

#Keep Learning

The legend on a map states that
1 cm is 20 km. If you measure 9
centimeters on the map, how
many kilometers would the actual
distance be?

Actual distance = [ ? ] km

Answers

Answer:

1cm=20km

multiply both sides by 9

you get

9cm=20x9km

9cm=180km

Maya just turned 14 years old. Her parents started saving $350 each month for her college.
education when she was born. Her parents want to make sure there will be enough money in
her account by the time she turns 18 to cover tuition and expenses at an in-state, four-year
college. How much will Maya's parents need to raise their monthly contribution for the next 4
years if they want to save at least $80,000?

Answers

Answer:

$91.66

Step-by-step explanation:

We need to calculate how much they've saved so far. So we multiply 12 * 14 to get 168 months (14 years). Then we can multiply 350 by 168 to get $58,800.

We then subtract 58,800 from 80,000 to get 21,200 left to cover over 4 years. In 4 years, there are 48 months so we just divide 21,200 by 48 to get 441.66.

Subtract 350 from 441.66 to get 91.66.

We can check this by doing (350*168) + (441.66 * 48).

Hope this helps,

As always, correct me if I'm wrong

Answer:

Given :-

Money saved by her parents each month = $350

Time = 14 years = 14 × 12 = 168 months

To find :-

How much money ger parents have to save in next 4 years to achieve the goal of $80,000

Total money saved in 14 years = 350 × 168 = $58,800

Total money left to achieve goal = 80,000 - 58,800

= $21,200

Money they have saved next 4 years in each month to achieve the goal

[tex] = \frac{21200}{4 \times 12} \\ = \frac{21200}{48} \\ = 441.69 [/tex]

They need $441.69 each month to complete $80,000 for her college.

Write the ratio as a fraction in simple form, with whole number in the numerator and denominator 2. 7 hr to 7. 2 hr

Answers

Answer:

  3/8

Step-by-step explanation:

A ratio is expressed in lowest terms by removing common factors from numerator and denominator.

  [tex]\dfrac{2.7\text{ hr}}{7.2\text{ hr}}=\dfrac{3\cdot0.9\text{ hr}}{8\cdot0.9\text{ hr}}=\boxed{\dfrac{3}{8}}[/tex]

Julia's family wants to save for her four-year college education. After some research, they
estimate that the total cost for a state school will be about $72,000. They have saved $50,000
so far, and Julia is 14 years old. If her family saves $250 a month for the next 4 years, how much
money will Julia need in financial aid to pay for her education?

Answers

Answer:

She will need $10000 in financial aid

Step-by-step explanation:

Step 1:  Determine the money in 4 yeras

$250 a month * (4 years * 12 months per year)

$250 a month * (48 months)

$12000

Step 2:  Determine the total amount

$50000 + $12000

$62000

Step 3:  Determine the difference

$72000 - $62000

$10000

Answer:  She will need $10000 in financial aid

Answer:

She will need $10000 in financial aid

Step-by-step explanation:

Step 1:  Determine the money in 4 yeras

$250 a month * (4 years * 12 months per year)

$250 a month * (48 months)

$12000

Step 2:  Determine the total amount

$50000 + $12000

$62000

Step 3:  Determine the difference

$72000 - $62000

$10000

Answer:  She will need $10000 in financial aid

The number of water bottles used during a team's football practice varies directly with the temperature. If a team
uses 75 bottles when the temperature is 60°, what is the temperature if they use 120 bottles?

Answers

Answer:

96 degress letter G

Step-by-step explanation:

If TR = 11 ft, find the length of PS. Round to the nearest hundredth.

P

T

R

16°

S

arc PS =

ft

Answers

The length of arc PS from the information given in the task content is; 31.5 ft.

What is the length of the arc PS?

It follows from the task content that;

Point T is the center of the circle and line TR is the radius of the circle.

Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.

On this note, the length of arc PS is;

arc PS = (164/360) × 2 × 3.14 × 11.

arc PS = 31.5ft.

Read more on length of an arc;

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What is value of 22y-6

Answers

260

Step-by-step explanation:

11y + 6 =139

-6

11y. = 133

÷11

y. = 133/11

22y - 6

22 x 133/11 - 6

=260

Hope this helps!

Step-by-step explanation:

[tex]11y + 6 = 139 \\ 11y = 133 \\ y = 12.0909[/tex]

so,

[tex]22y - 6 \\ 22(12.1) - 6 \\ = 260[/tex]

Please help me !! Giving brainliest!!

Answers

Answer:

O 4th option : (-4, -2)

Step-by-step explanation:

⇒ 9x - 9y = -18

⇒ -6x + 9y = 6

3x = -12x = -4

9(-4) - 9y = -18-36 - 9y = -18-9y = 18y = -2

⇒ (x , y)

(-4, -2)

Answer:

(-4, -2)

Step-by-step explanation:

When using the elimination method, we combine the equations to get one. To combine them, we have to find a term with a number that is either positive or negative to the other, example : -6y and 6y, or 4x and -4x. We then take them and combine both equations to get one. Becuase they are the same, they simply cancel each other out.

9x - 9y = -18

-6x + 9y = 6

3x = -12

Divide both sides by 3 to get x alone

x = -4

Now, to find the y value, we can now plug in what we found for x.

9(-4) - 9y = -18

-36 - 9y = -18

Add 36

-9y = 18

Divide by -9

y = -2

Therefore making the solution, (-4, -2)

Help me asap!!!
Stem leaf
1
2, 4, 8
2
3,3,5
3
Mean=
2, 5
Median =
Mode =
Range =
-
-
A triangle has angles measuring 35º and 65º. What is the measure of the triangle's third

Answers

Answer:

Mean=30

Median=30.5

Mode=None

Range=11

Step-by-step explanation:

The mean is all the numbers added together then divided by how many numberes there are.

24+28+33+35=120

120/4=30

Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33

28+33=61

61/2=30.5

Mode is the number most seen in the data set. Theyre all seen once so no mode

Range is the highest value subtracted from the lowest.

24-35=11

solve the inequality 4p-5<25

Answers

Answer:

p<15/2

Step-by-step explanation:

p<(25+5)/4

p<30/4

p<15/2

somebody pls help me

im not very smart 7u7

Answers

Answer:

[tex]1 \2 (7 + 12)6 \\ 1 \2(19)6 \\ 114 \times 1 \2 = 72[/tex]

so therefore area is 72cm²

Ramon and Hector ride their bikes at constant rate during race Raven rides 45 miles and 3 hours the distance Y in miles hector rides in x hours is given by the equation y=18x

Answer choices:

Ramon rides his bike 3 miles per hour faster than Hector it rides his bike

Ramon rides his bike 27 miles per hour faster than Hector rides his bike

ramon rides his bike 3 miles per hour slower than Hector rides his bike

Ramon rides his bike 27 miles per hour slower than Hector rides his bike ​

Answers

The third option is right. Raman rode 3miles/hr slower than Hector

Step-by-step explanation: Distance covered by Raman is 45miles In 3hours., his speed is 15miles/hr

Raman: 45=15×3 (45miles in 3hrs)

Hector: y=18× (54miles In 3hrs)

Distance = speed ×time

If the radius of a sphere is increasing at the constant rate of 3 centimeters per second, how fast is the volume changing when the surface area is 10 square centimeters

Answers

How fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.

To solve the question, we need to know the volume of a sphere

Volume of a sphere

The volume of a sphere V = 4πr³/3 where r = radius of sphere.

How fast the volume of the sphere is changing

To find the how fast the volume of the sphere is changing, we find rate of change of volume of the sphere. Thus, we differentiate its volume with respect to time.

So, dV/dt = d(4πr³/3)/dt

= d(4πr³/3)/dr × dr/dt

= 4πr²dr/dt where

dr/dt = rate of change of radius of sphere and 4πr² = surface area of sphere

Given that

dr/dt = + 3 cm/s (positive since it is increasing) and 4πr² = surface area of sphere = 10 cm²,

Substituting the values of the variables into the equation, we have

dV/dt = 4πr²dr/dt

dV/dt = 10 cm² × 3 cm/s

dV/dt = 30 cm³/s

So, how fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.

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The graph of a linear function is shown on the grid.
Which function is best represented by this graph?

Answers

Answer:

its the fourth one g(x)=-⅔x+4

Step-by-step explanation:

the incline of the graph is down , and the point the graph meets y axis is +4

Answer:nits c

Step-by-step explanation:

Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.

1, 3, 6, 10, 15, …
My answer below:
3 + 1 = 4
3 - 6 = -3
so, I get neither?

Answers

Sequence: 1, 3, 6, 10, 15, …

If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]

If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]

Check for arithmetic:

[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]

[tex]\sf \rightarrow 3 =3.5[/tex]    Hence, the sequence is not arithmetic

Check for geometric:

[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]

[tex]\sf \rightarrow 3 = \sqrt{6}[/tex]   Hence, the sequence is not geometric

Solution:

Neither

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]

[tex] \textsf{and} [/tex]

[tex] \textsf{If the ratio of successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex]

[tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]

Hope it helps ~

PLEASE HELP!!

The rodriguez and peralta families went to the local pizzeria for supper. The items purchased and the total cost of the purchases are shown in the table below. Find the cost per pizza and drink.

Answers

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of each pizza and y the cost of each drink. Hence:

3x + 5y = 47.45  (1)

Also:

4x + 8y = 65.92  (2)

From both equations:

x = 12.5, y = 1.99

The cost of each pizza is $12.50 while the cost of each drink is $1.99.

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Point A has coordinates (0,4).
Point B has coordinates (1,6).
Point C has coordinates (2,0).
Find an equation of the line that passes through C and is perpendicular to AB.
equation needs to be in the form ax+by= c
a and b need to he integers ASAP PLS HELP

Answers

Answer:

x - 6y - 2 = 0

Step-by-step explanation:

Let “m” be the slope of line AB

and “a” be the slope of the line that passes through C and is perpendicular to AB

Then

[tex]m = \frac{6-0}{1-2} =-6[/tex]

The second line is perpendicular to AB

then

m × a = -1

then

-6 × a = -1

then

[tex]a=\frac{1}{6}[/tex]

C(2,0) lies on the line of equation y=ax+b

⇔ C(2,0) lies on the line of equation y=(1/6)x+b

⇔ 0 = (1/6)×2 + b

Then b= -1/3

Therefore Our equation is :

y = (1/6)x - 1/3

⇔ 6y = x - 2

⇔ x - 6y - 2 = 0

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