Sara sold hotdogs and drinks at the soccer game.
18 hot dogs and 9 drinks sold for $45.00
20 hot dogs and 12 drinks sold for $52.00
What is the charge for an order of 4 hot dogs and 3 drinks?

Answers

Answer 1

Answer:

$11

Step-by-step explanation:

Set up the system of equations

18x + 9y = 45

20x + 12y = 52

Let's try to get y on one side for the first equation.

9y=45-18x

y=5-2x

Now substitute it into the second equation.

20x + 12(5-2x) = 52

20x + 60 - 24x = 52

-4x = -8

x = 2

Now solve for y using the first equation.

18(2) + 9y = 45

36 + 9y = 45

9y = 9

y = 1

Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.

4(2) + 3(1) = z

8 + 3 = z

11 = z

That means that the price is 11 dollars.


Related Questions

CAN SOMEONE HELP ME !

A plant grows at a constant rate. Daniel records the height of the plant each
week. The unit rate is measured in inches per week. What is the constant of
proportionality?
18 inches
15 inches
12 inches
Week 4
Week 5
Week 6

Answers

Answer:

C

3 in per wk

Step-by-step explanation:

12

12×3=15

15+3=18

The constant of proportionality is 3 inches/week

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation y = Kx also represents direct proportionality. Here, K is called constant of proportionality. It is same as slope.

We have a plant grows at a constant rate.

The data recorded by Daniel is as follows -

Week 4       12 inches

Week 5       15 inches

Week 6       18 inches

The equation y = Kx also represents direct proportionality. Here, K is called constant of proportionality. We have to find the slope of the line represented by the data as -

K = slope

K = (15 - 12)/(5 - 4)

K = 3/1

K = 3

Therefore, the constant of proportionality is 3 inches/week.

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

A high school is doing a fundraiser selling magazine subscriptions. The magazine publisher will pay the school a starting bonus of $500 and they $4 for each magazine subscription sold. At the end of the fundraiser the school is paid $1300. How many subscriptions did they sell?

Answers

Answer:

200

Step-by-step explanation:

You can use the equation 1300=4x+500

Starting bonus ($500) is like the y intercept so you would get that out of the way by subtracting 500 from both side

1300-500=800

500-500=0

Your equation is now:

800=4x

Now since the question is How many subscriptions did they sell and we know that each magazine is $4 all for have to do is divide both sides by 4 to get the answer.

800÷4=200

4x÷4=x

x=200

can y’all pls help me.

Answers

Answer:

1. 1 1/2  

2. (0,2)

3. no clue sorry bro

Step-by-step explanation:

Answer:

2) the ordered pair is (4,4) and the other one is

(-2,-5)

ps, sorry i am a 6th grader

urgent!!! what is 3 × 5/13=

Answers

Answer:

[tex] \frac{15}{13} = 1.1538461538[/tex]

Step-by-step explanation:

[tex] \frac{3 \times 5}{13} = \frac{15}{13} = 1.1538461538[/tex]

find the rate of change

Answers

Answer:

The rate of change represented in the table is 14

Step-by-step explanation:

rise over run or y2-y1/x2-x1 to find the rate of change

pick two points

lets use (0,-11) and (2, 17)

17 - (-11) / 2 - 0

= 28 / 2

= 14

plsss help ASAP
will mark BRAINLIEST

Answers

Answer:

yeah yeah i think the answer is rectangle jp

Step-by-step explanation:

When f(x) = -3, what is x?
-29
-10
-3
-1

Answers

Your answer should be -3

Answer:-1

Step-by-step explanation:

LOOK AT THE CHART , WHEN F(X) IS EQUAL TO 3, X IS EQUAL TO -1

A company has determined that 2 out of every 5255 bolts that it ordered is defective. What is the probability that that a worker will pick a bolt that is not defective? Enter your answer as a reduced fraction using / for the fraction bar. Do not use any spaces in your answer.

Answers

Answer:

5253 out of 5255 times.

[tex] \frac{5253}{5255} [/tex]

Step-by-step explanation:

Being that the we are determining the probobility of it not bein defecteve, then we simply count the bolts not defective rather then defective ones. We can do this simply by subtracting the defective bolts from 1, or total bolts recieved.

[tex]1 - \frac{2}{5255} [/tex]

Which is the equation that gives us the answer,

[tex] \frac{5253}{5255} [/tex]

What is the slope of the line that passes through the points (8,4) and (20,-4)?
Write your answer in simplest form.

Answers

Answer:-2/3

Step-by-step explanation:

Slope formula is (y2-y1)/(x2-x1)

(4--4)/(8-20)

8/-12

Simplify

-2/3

HELPHELPHELPHELP pls dont spam :)

Answers

Answer:

A reflection of the line segment across the y-axis

Step-by-step explanation:

hope you are having a great day ଘ(੭ˊᵕˋ)੭* ੈ✩‧₊˚

Answer:

B. a reflection of the line segment across the y-axis

Lucy cuts 4 squares with side length x in. From the corners of a 6 in. By 9 in. Cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. High. Write and simplify a function for the volume V of the tray in terms of x.

Answers

Answer:

4x³ - 30x² + 54x

Step-by-step explanation:

Length of the rectangular cardboard = 9 inches

Width of the rectangular cardboard = 6 inches

if the square of sides x inches is cut from each corner of the rectangular cardboard and folded to make a tray, then we have

Length of the tray = length of cardboard - 2(side of square )

= 9 - 2x

Width of the tray = width of cardboard - 2( side of square)

= 6 - 2x

height of tray = sides of square

= x

volume of tray = Length × width × height

= (9 - 2x) (6 - 2x) (x)

Open the parenthesis

= (54 - 18x - 12x + 4x²)(x)

= 54x - 18x² - 12x² + 4x³

= 54x - 30x² +4x³

Re-arrange

4x³ - 30x² + 54x

Volume, V of the tray in terms of x = 4x³ - 30x² + 54x

Answer:

4x^3-30x^2+54x

Step-by-step explanation:

The length of a rectangle is three times its width. The perimeter is 64 feet. What are the dimensions of the rectangle?

Answers

Answer:

8 and 24

Step-by-step explanation:

let width be X

then length will be 3x

2(3x+X)=64

3x+X=32

4x=32

X=8

then 3x=24

5) Please solve the following equation for x
5x2 +4= -41

Answers

Answer:

[tex]x= 3i, -3i[/tex]

Step-by-step explanation:

please mark me brainliest :)

The answers is x=-9/2

im giving brainliest to somepne random jus comment luv​

Answers

Answer:

luv luv luv luv luv luv luv

Use the figure below.


Select all the lines in the proof of △ABC≅△CDA that have the correct justification.

∠ACB≅∠CAD, Alternate Interior Angles Theorem

△ABC≅△CDA, SAS Triangle Congruence Theorem

∠BAC≅∠DCA, Alternate Interior Angles Theorem

AB || CD and BC || AD, ASA Triangle Congruence Theorem

AC≅AC, Reflexive Property of Congruence

Answers

Answer:

∠ACB≅∠CAD, Alternate Interior Angles Theorem

∠BAC≅∠DCA, Alternate Interior Angles Theorem

AC≅AC, Reflexive Property of Congruence

By A-S-A congruence, the △ABC≅△CDA.

Step-by-step explanation:

Given the figure:

We are given that:

Side BC || AD

Side AB || DC

Let us have a look at a few properties first.

Alternate Interior Angle Theorem: It states that when two parallel lines are cut by a line then the alternate angles which are on the interior side are equal to each other.

Reflexive Property of Congruence: It states that a side or angle is always congruent to itself.

Now, let us consider the triangles:

△ABC and △CDA.

Side BC || AD

Therefore,

∠ACB≅∠CAD, Alternate Interior Angles Theorem

Side AB || DC

Therefore,

∠BAC≅∠DCA, Alternate Interior Angles Theorem

Also, Side AC is common.

AC≅AC, Reflexive Property of Congruence

Therefore, by A-S-A congruence, the △ABC≅△CDA.

Does the following picture represent a linear function?

Answers

Answer: No

Step-by-step explanation: For x 0-2, the y is increasing by +5 every time. However, the moment it hits x=2, it starts decreasing by -5 every time. This means that it does not follow on set pattern (either +5 or -5) and looks more like a ^ than a /.

Nope, it starts down, comes up a little and goes back down which makes it a parabola, not a line.

rich borrowed 100,000 for a period of five years. his interest rate is 3%. how much interest will rich pay in all?

Answers

Answer:

15000  ( I THINK)

Step-by-step explanation:

you have to mutiply 100000 times 5 times 3% and you get 100000.

PLEASE HELPPP -
brainliest if right!!
don’t comment if you don’t know because if you get it wrong you will be reported by many thanksss

Answers

Answer:

no

Step-by-step explanation:

it is not strait

Hope this works!

Which of the following correctly identifies the set of outputs?

A. {–3, –2, 3}
B. {–1, 2, 3}
C. {(–3, 2), (–2, 1), (3, 3), (3, –1)}
D. {(2, –3), (1, –2), (3, 3), (–1, 3)}

Answers

c is the correct answer

x+y+z=2
5x+5y+5z=3
4x+y-3z=-6

Answers

Answer:

:)

Step-by-step explanation:

Examples: 1+2, 1/3+1/4, 2^3 * 2^2

(x+1)(x+2) (Simplify Example), 2x^2+2y a x=5, y=3 (Evaluate Example)

y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example)

There are 2 Violet balls and four pink balls in a bag if two balls or tomorrow and one after another then what is the possibility of getting a violet first and a think Max is the first ball joints replaced

Answers

Answer:

The probability is 2/9

Step-by-step explanation:

Here , we want to find the probability of getting a violet ball first and a pink ball secondly if the violet ball is replaced

probability = number of balls of same color/total number of balls

The total number of balls = (2 + 4) = 6 balls

Probability of selecting a violet = 2/6 = 1/3

Probability of selecting a pink afterwards with replacement = 4/6 = 2/3

So the probability of selecting the balls in that order will be;

1/3 * 2/3 = 2/9

1. Find the slope between the given two points. (-1, -11) and (-6, -7) *
5 points
Y2 - Y1
X2 - 11
4/5
-5/4
-4/5
5/4

Answers

Answer: Y=mx+b

m=-4/5

Step-by-step explanation:

6÷2(1+2)=
answer pleaz!!!!!!!!!!!!!​

Answers

Step-by-step explanation:

=6÷2(1+2)

=6÷2(3)

=3×3

=9 ans

What’s the answer for x??

Answers

Answer:

3x+85= 21

or, 3x= 85- 21

or, 3x= 64

or,x= 64/3

;. x= 21.3

Step-by-step explanation:

the value of x is 21.3

If 6% of the 205 million adult Americans are unemployed, how many adult Americans are unemployed?

a. 12 million
b. 34.17 million
c. 2.93 million
d. 12.3 million
e. 19.07 million

Answers

Answer:

B

Step-by-step explanation:

Answer:

12.3

Step-by-step explanation:

6*205=1230

1230/100=12.3

mrs neduz has 30 pints pf soda for the glow in the dark party this friday how many gallons of soda does she have?

Answers

Answer:

Mrs. Neduz has 3.75 gallons of soda.

witch is the hightest mountain in the world

Answers

Answer:

Mt. Everest

Step-by-step explanation:

hope that helps

Answer:

Mount Everest

Step-by-step explanation:

Elevation: 29,029′

with this elevation the worlds tallest mountain is Mount Everest

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?

A. 1/100
B. 1/50
C. 1/45
D. 1/25

Answers

                Hey Emma Here!

Answer:

B or A i think correct me if im wrong i like to learn from my mistakes =)

Bye Sorry I Wasn't Much Help Have A Nice Day!

Answer:

the answer is C

What is the reason for each step in the solution of the equation?

4x−1=−2(x+1)
Drag and drop the reasons into the boxes to correctly complete the table.

Please Help I suck at these

Answers

4x-1=-2(x+1)
Distribute
4x-1=-2x-2
Move variable to left and change signs
4x+2x=-2+1
Combine like terms
6x=-1
Divide both sides by 6
X=-1/6

Solve for j.

73 =
j
8
+ 66

Answers

Answer:

.875

Step-by-step explanation:

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