4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets (some students and some adult) for $56.95. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets purchased?

Answers

Answer 1

Answer:

Two adult tickets and 5 student tickets

Step-by-step explanation:

Let a=adult tickets   Let s=student tickets

You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps


Related Questions

A silk worm grows twice asd long as it was the day before .If the worm measures v40 mm on the 10 th day, on which day was it 2.5 mm long

Answers

Answer:

On the sixth day (10 - 4), the worm was 2.5mm long.

Step-by-step explanation:

Giving the following information:

Future Value= 40mm

Present Value= 2.5mm

Number of periods (n)= ?

Growth rate= 100% per day

First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):

n= ln(FV/PV) / ln(1+i)  

n= ln (40 / 2.5) / ln (2)

n= 4

It will take 4 days.

On the sixth day (10 - 4), the worm was 2.5mm long.

A 12-ounce box of cereal costs $3.60. Which equation correctly relates the price (p) with the weight (w) of the cereal?

Answers

Answer:

A. P = 3.3w

Step-by-step explanation:

A. P = 3.3w

B. P = 0.3w

C. P = 3.6w

D. P = 12w

P = price of the cereal

w = weight of the cereal

p = $3.60

w = 12-ounce

3.60p = 12w

Divide both sides by 3.60

3.60p / 3.60 = 12w / 3.60

P = 3.3w

The correct answer is A. P = 3.3w

How do I solve for an answer for this?
16k-24
Find the GCF

Answers

U have to find the prime factors of each term to find the GCF but the answer is 8

Write an equation for each circle

1. center (-1,-5);r = 2 units
3. center (-8, 7); r = 12 unit
5. center (0.5, 0.7); r = 13.5 unitsand

Answers

Yep what the girl said

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.

The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.

Answers

Answer:

A D and E

Step-by-step explanation:

The statements true about the graph of the function are

a) The axis of symmetry is the line x = 6

b) The parabola opens down

c) The vertex of the graph is at (-6, -11)

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) = -3x² + 36x - 119

And , the vertex form of the function is

f ( x ) = -3 ( x - 6 )² - 11

Now , The axis of symmetry is the line x = 6. This is true because in vertex form, the equation of the axis of symmetry is given by x = h, where (h, k) is the vertex of the parabola. In this case, the vertex is (6, -11), so the axis of symmetry is x = 6.

The parabola has a minimum. This is also true because the coefficient of the x² term in the given equation is negative (-3), which means the parabola opens downward and has a minimum at the vertex.

Hence , the graph of the polynomial is solved

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

Pls help! brainliest if correct and 50 points awarded! look at the image! :)

Answers

Answer:

A and D

Step-by-step explanation:

find the area of the semi circle please ​

Answers

Answer:

58.4197cm^2

Step-by-step explanation

cirlce area formula: [tex]\pi[/tex]r^2

r= 6.1

[tex]\pi[/tex]=3.14

Now plug numbers into the formula

area of circle:

= (3.14)(6.1^2)

=(3.14)(37.21)

= 116.8394cm^2  ------> area of full circle

now divide by 2, to find area of semi circle

116.8394/2= 58.4197cm^2

[tex] \huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}[/tex]

area of semicircle is 58.572 m²

[tex] \huge \sf { \fcolorbox{green}{g}{Explanation :- }}[/tex]

[tex] \huge \underline{\large \fbox \red{Concept : }}[/tex]

We have to find the area of semicircle

So firstly we need to find the area of circle. because the semicircle of circle is the half of area of circle so first we find the area of circle then divide by 1 /2 then we get the area of semicircle.

We have given the radius of circle is 6.1 m

[tex]\huge\mathfrak\red{Solution : }[/tex]

[tex] \mathfrak \green{Area \: of \: circle = π × ( radius) ²}[/tex]

[tex]\mapsto \: \: \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times( 6.1 \: m)^{2} } \\ [/tex]

[tex]\mapsto \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times37.21 \: m {}^{2} } \\ [/tex]

[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak \blue{ = 116.94 \: m {}^{2} }[/tex]

Therefore,

[tex]\small \mathfrak \red{Area \: of \: semicircle = \frac{1}{2} \times area \: of \: circle}[/tex]

[tex] \small \mathfrak \green{ = \frac{1}{2} \times 116.94 \: cm \: {}^{2} } \\ [/tex]

[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak { = 58.472\: m {}^{2} }[/tex]

[tex] {\underline {\fbox\red{Hence, the area of semicircle is 58.572 m²}}}[/tex]

In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min ? ( 348919)

Answers

Answer:

Ram will cover 25 km in 100 min's

Step-by-step explanation:

Hope this helps (^w^)

Answer:

hello :> UvU

Step-by-step explanation:

helppp :))) i- wasnt listening

Answers

Answer: 130 cm

Step-by-step explanation:

Let's take the equation for the volume of a rectangular prism

V=Length * Width * Height (L*W*H)

[tex]V=W*L*H[/tex]

V=2*13*5

[tex]V=2*13*5[/tex]

V=130 cm

[tex]V=130cm[/tex]

Simplify (2i-1)(i^2-3i-7)

Answers

Answer: 14-13i

Step-by-step explanation:

Answer:

14 - 13i

Step-by-step explanation:

We MUST do the work inside parentheses before anything else.

Step 1:  evaluate i^2:   (2i-1)(i^2-3i-7) =  (2i-1)(-1 -3i -7)

Step 2:  combine like terms inside the parentheses:  (2i-1)(-8 - 3i)

Step 3:  perform the indicated multiplication of binomials:

             -16i + 6 + 8 + 3i

Step 4:  combine like terms of the above expression:  14 - 13i

jose is now six years older than john. in two years jose will be twice as old as john. How old is john now.

Answers

Answer:

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Step-by-step explanation:

Answer:

John is currently 6 years old.  

You can find this by setting John's original age as x and Jose's original age as x + 6. Then we can set up an equation adding two to both.  

John's new age = x + 2

Jose's new age = x + 8

Now we can multiply John's new age by two and set equal to Jose's age, since Jose's new age is twice as much as John's.  

2(x + 2) = x + 8

2x + 4 = x + 8

x + 4 = 8

x = 4

This means John's original age is 4 and his new age is 6.  

Step-by-step explanation:

can somebody please help me, this is due in 20 minutes​

Answers

Answer:

61°

Step-by-step explanation:

In order for triangle LMN and PQR to be congruent, angle M and angle Q must equal. thus, we can set 2x-26=x+16

with basic algebraic manipulation, x=42. we then plug it back into the angle M or Q, getting angle M/Q= 58°

since this is a isoceles, the 2 base angle are identical, so 180= 58+2(angle P)

thus, angle P= 61

A fmaily wants to rent a van for a four day camping trip. The rental cost is $32.00 per day plu s$0.15 per miles driven. Their vacation budget allows them to spend $225.00 to rent the van. Which expression represents the number of miles that they can drive without going over their budget?

Answers

Answer:

The expression is: (225 - (32 × 4))/0.15

Steps:

first we'll calculate the rental cost of 4 days without the miles driven

32 × 4 = $128.00

now we'll calculate the money that can be spent on miles

225 - 128 = $97.00

with $97.00 they can drive: 646.66 miles

97 / 0.15 = 646.66 miles

The expression is: (225 - (32 × 4))/0.15

antonio and emilia are painting a room in their new house. antonio could finish the job in only 6 hours by himself, while emilia could finish the job in only 4 hours by herself. how long would it take them if they worked together?​

Answers

Answer:

Step-by-step explanation:

Antonio’s rate is 1/6 while Emilia’s rate is 1/4 while working alone, together they will complete the job when.

t/6+t/4=1 making common denominators

(t/6)(2/2)+(t/4)(3/3)=1

(2t+3t)/12=1

5t=12

t=2.4 hours (or 2 hours and 24 minutes)

Can someone help me please? I keep getting this wrong. Match the reasons for the statements. Thank you!

Answers

Answer:

Step-by-step explanation:

Given is 1

Corresponding angles Postulate is 2

Substitution is 4

Same side theorem is 3

CAN U PLS ANSWER WILL GIVE BRAINLIEST

Answers

Answer: 20 hrs

Step-by-step explanation:

HELP ME ASAPPPP PLEASE HLEPPPPPO

Answers

Answer:

14800 sq yd

Step-by-step explanation:

area of a trapeziod

Can I find the scale factor for a point with 2 different scale factors? (one for the x-axis and one for the y-axis)

Answers

Answer:

Yes

Step-by-step explanation:

Scale factor is the ratio of the length of one side of a point/figure to a similar side in another point or figure.

The scale factor can either be less than one(1) or greater than one(1) depending on the figure/ point you begin from when finding the scale factor.

Hence you can find the scale factor for a point with 2 different scale factors

Hey guys 25 points and brainliest!

Answers

Answer:

9.1 = a + 4

Step-by-step explanation:

The top five test scores in Mr. Rhodes’s class were: 98, 92, 96, 97, and 97. What is the mean absolute deviation?

Answers

Answer:

A

Step-by-step explanation:

Last year Rikki sang 960 songs with his rock band. How many songs did he sing per month? How did you get your answer?

Answers

Answer:

80 songs per month.

Step-by-step explanation:

There are 12 months in a year

So you do 960 divided by 12 to see how many songs he sang per month

And you get 80.

I need to find the angle for each number spot

Answers

Angels 4,5,8 will all be 152. Angels 2,3,6,7 will be 24.

This is right? Isn’t it???

Answers

Yes you are correct!!!!!!!!!!

Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!

Answers

Answer: Not a right-angled triangle

Step-by-step explanation:

Given

The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]

For a right-angle triangle, it must satisfy the Pythagoras theorem

[tex]a^2+b^2=c^2[/tex]

i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides

Here,

[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]

Therefore, it is not a right-angle triangle

What is MCAD
A. 25
B.90
C.100
D.115
Please help!!!!

Answers

Answer:

D.115

Step-by-step explanation:

Use the exterior angle of a triangle theorem which states that the exterior angle of a triangle is equal to the sum of the opposite interior angles meaning D=C+B

[tex][Inequalities][/tex]
[tex]Please[/tex] [tex]help[/tex] [tex]and[/tex] [tex]thanks.[/tex]

Answers

Answer:

1+X < 52

6 < Y- 4

Step-by-step explanation:

btw y did u report me on

https://brainly.com/question/22537441

I need to get in helppppppppppp
#9

Answers

start off with yes and say how school work is a priority for you and you’d be willing to put in the dedication

Julie uses 9.3 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

she used 2.325 pints of blue paint

Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?

A right triangle has side lengths 40 centimeters and 9 centimeters. The hypotenuse is labeled c.

9 squared + 40 squared = c squared. 81 + 80 = c squared. 161 = c squared. StartRoot 161 EndRoot centimeters = c.
He did not square 40, he just multiplied by 2.
He did not finish the problem. He should have divided 161 by 2 to find the square root.
He should have added 9 + 9 to find the value of 9 squared.
He should have subtracted the two squares to get 40 squared minus 9 squared = c squared because numbers get too large if both legs are squared and then added together.

Answers

Answer:

He did not square 40, he just multiplied by 2

Answer 41 centimeters.

Step-by-step explanation:

C²=40²+9²

C²=1600+81

C²=1681

√c²=√1681

C=41cm

Answer:

the answer is A

Step-by-step explanation:

edg

WILL GIVE BRAINLIEST!
Find x given y = 28° from the figure below.
x =

Answers

[tex]5x + x + y + 2x = 180 \\ y = 28 \\ 5x + x + 28 + 2x = 180 \\ 8x + 28 = 180 \\ 8x = 180 - 28 \\ 8x = 152 \\ x = 19[/tex]

x=?
y=28
2•x+x+y+5•x=180
2x+x+5x+28=180
8x=180-28
8x=152
x=152/8
x=18
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