A local restaurant only sells burgers and cokes. 3 burgers and 5 comes cost $17, while 6 burgers and 9 cokes cost $33. What’s the price of a burger?

Answers

Answer 1

Answer:

The price of a burger is $4 and that of cone is $1.

Step-by-step explanation:

Let the cost of burger is x and that of cone is y.

ATQ,

3x+5y = 17 ....(1)

And

6x + 9y = 33 ...(2)

Multiply equation (1) by 2.

6x + 10 y = 34 ...(3)

Subtract equation (2) from (3)

6x + 10 y-(6x + 9y) = 34 - 33

6x + 10 y-6x- 9y = 1

y = 1

Put the value of y in equation (1)

3x+5 = 17

3x = 12

x = 4

So, the price of a burger is $4 and that of the cone is $1.


Related Questions

If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that the sample proportion is more than 0.89

Answers

Answer:

0.60515

Step-by-step explanation:

Given that:

Population proportion p = 0.9

Sample size = 64

Probability that sample proportion is more Than 0.89

P(p" > 0.89)

(p" - p) ÷ sqrt(p(1 - p) /n)

P(Z > p")

P(Z > (0.89 - 0.9) ÷ sqrt(0.9(1 - 0.9) /64))

P(Z > (-0.01) ÷ sqrt(0.9 * 0.1) / 64))

P(Z > (-0.01) / sqrt(0.00140625))

P(Z > - 0.26667) = 0.6051

Using the Z probability calculator :

P(Z > - 0.26667) = 0.60515

3. Sam and Tim each have savings accounts. Every month they each put in some of their
earnings from mowing lawns. Use the tables to find the y-value of the solution to the
system shown.
х
1
2
3
4
f(x)
80
110
140
170
х
1
2
3
4
g(x)
100
120
140
160

Answers

Answer:

[tex]y = 30x +50[/tex] --- Sam

[tex]y = 20x +80[/tex] --- Tim

Step-by-step explanation:

Given

Sam                         Tim

х  --- f(x) ---------------  g(x)

1  --- 80   --------------- 100

2  --- 110  --------------- 120

3  --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,80)[/tex]

[tex](x_2,y_2) = (4,170)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{170 - 80}{4 - 1}[/tex]

[tex]m = \frac{90}{3}[/tex]

[tex]m = 30[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 80 = 30(x - 1)[/tex]

[tex]y - 80 = 30x - 30[/tex]

Make y the subject

[tex]y = 30x - 30 + 80[/tex]

[tex]y = 30x +50[/tex]

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,100)[/tex]

[tex](x_2,y_2) = (4,160)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{160 - 100}{4 - 1}[/tex]

[tex]m = \frac{60}{3}[/tex]

[tex]m = 20[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 100 = 20(x - 1)[/tex]

[tex]y - 100 = 20x - 20[/tex]

Make y the subject

[tex]y = 20x - 20+100[/tex]

[tex]y = 20x +80[/tex]

Add -4 + (-15).

-11
19
-19
11

Answers

Step-by-step explanation:

-4+(-15)

=(-19)

I think it helps you

in a company, 40% of the workers are women. If 1380 woman work for the company, how many total workers are there?

Answers

Answer:

Step-by-step explanation:

The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:

(remember that the word "of" generally means to multiply)

(also remember that we have to use the decimal form of a percent in an equation)

.40(x) = 1380 then divide to get the number of total workers:

x = 3450

What is the origin and where is it located?

Answers

The origin is at (0,0)

Answer:

the origin is where the graph starts which is located at 0,0

Step-by-step explanation:

Easy points

Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.

Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?

Answers

Answer:

35

Step-by-step explanation:

*I'm just gonna answer this*

When you are 70, your brother will be 67.

If you were six, and he was half of that, he was three, meaning he was 3 years younger than you.

Evaluate
Please help

Answers

The answer Is 27 hope that helps

Answer:

27

Step-by-step explanation:

3x3x3=9; if you break it apart, 3x3= 9, then multiply that by the last 3, which will give you 27.

Hope that helped!

Solve for x.
(9x – 16)+(3x + 11)+(7x – 5)=180

Answers

Answer:

10

Step-by-step explanation:

See the picture attached.

. Jordan is inviting 8 friends to his party. He wants to give each friend 2 maracas and have 2 for himself. Maracas come in boxes of 6. How many boxes does he need to buy? +​

Answers

Answer:

3 boxes of maracas

Step-by-step explanation:

9 x 2 = 18

18 ÷ 6 = 3 boxes of maracas

Answer:

He needs to get three boxes.

Step-by-step explanation:

We know that he wants two, we know that he has eight friends coming. He wants two maracas per friend. To find the total number of maracas you must multiply the amount of friends by the amount of maracas.

8 * 2= 16

You add the two maracas for himself to find the total maracas needed.

16+2= 18

Next you divide the amount of maracas needed by six because the are six maracas per box.

18÷6=3

The total number of boxes needed is three

PLEASEE HELP ITS DUE TODAY

Answers

Answer:

43.44 for the first one

16 cats from the second one

496 for the third one

Step-by-step explanation:

Answer:

a. 43.44

b. 16

c. 496

Step-by-step explanation:

a. (14.48) x 3= 43.44

b. 25% of 64= 16

c. 31 x 16= 496

Ingrid collect 6 cans of food and 18 boxes of food for the food bank.Which describes the relationship between cans of food and boxes of food

Answers

Answer:

Ingrid collected 3 times as many boxes as she did cans

Step-by-step explanation:

HELP PLEASE NEED HELP ASAP!!

Answers

I think it is C) I’m pretty sure

PLSSS HELPSSSSSSSSSSS
what is 10 times 1 5 in simplest form?

Answers

10 times 15 would be 150, but I don’t think you can write it in simplest form...

Answer:

150

Step-by-step explanation:

There is no way to write 150 in simplest form

that is the only way to write it unless you 2ant to write it like this 150/1

Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two

Answers

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

[tex]2n=-12[/tex]

STEP 2: Divide each term by 2 and simplify.

[tex]n=-6[/tex]

If 6a=5b what are the following ratios?Please show your work
a+b/b
I give brainliest to first person.

Answers

Answer:

5b-5

Step-by-step explanation:

Replace a with a=5/6 * b

Helpppppppppp NEED THIS ASAP!!!!!!!!!

Answers

Answer:

$230

Step-by-step explanation:

hope this helped, im sorry if im wrong too

What integer represents a 5-point loss added to a 2–point gain?

Answers

Answer:

-3

Step-by-step explanation:

5 point loss is -5,

2 point gain is (+)2.

If it's added, the expression will be -5 + 2.

-5 + 2 is -3.

-3 is an integer, because integers are whole numbers and their opposites.

If this helped, please mark it brainliest.. unless there is a better answer. Thanks.

Answer:

So -3

Step-by-step explanation:

What’s 4/5 divided by 3

Answers

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

remember when dividing with fractions, you are multiplying by the reciprocal.

this means

[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]

Answer:

the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26

Find the slope of the line (-4,4) (-3,-2)

Answers

If i help you can you help me

the area of square field is 5184 square meter find the area rectangular Field whose perimeter is equal to the perimeter of square field and whose length is twice of its breadth​

Answers

Answer:1296 if I’m not wrong please

Step-by-step explanation:

Step-by-step explanation:

Appropriate Question :

The area of square field is 5184m². Find the area of the rectangular field whose perimeter is equal to the perimeter of square field and whose length is twice of its breadth.

[tex] \frak{\red{Given}} \begin{cases} & \sf {Area\ of\ the\ square\ field\ is\ 5184m^2.} \\ & \sf {Perimeter\ of\ rectangular\ field\ is\ equal\ to\ perimeter\ of\ square\ field.} \\ & \sf {Length\ of\ the\ rectangular\ field\ is\ twice\ to\ the\ breadth\ of\ the\ square\ field.} \end{cases}[/tex]

Need to find : We have to find the area of the rectangular field.

We are given the area of the square field, that is 5184m². So firstly, let us find out the side of the square field.

Let the side of the square field be a.

SidE :-

a² = 5184m²a = √5184ma = 2 × 2 × 2 × 9a = 72m

∴ Hence, the side of the square field is 72m. Now, let's find out the perimeter of square.

⠀⠀⠀⠀⠀━━━━━━━─━━━━━━━

[tex] \red \bigstar \sf{\underline{Finding\ perimeter\ of\ square:-}} [/tex]

[tex] \sf \dashrightarrow {Perimeter\ of\ square\ =\ 4a} \\ \\ \sf \dashrightarrow {4 \times 72} \\ \\ \dashrightarrow {\underline{\boxed{\purple{\frak{288m}}}}} [/tex]

∴ Hence, the perimeter of the square field is 288m. Now, let us find out the length and breadth of the rectangular field.

⠀⠀⠀⠀⠀━━━━━━━─━━━━━━━

Since, it is given that perimeter of the rectangular field is equal to the perimeter of square field. Also, the length of the rectangular field is twice the breadth of the square field.

[tex] \sf : \implies {Perimeter\ of\ rectangle\ =\ Perimeter\ of\ square} \\ \\ \sf : \implies {2(l\ +\ b)\ =\ 288} \\ \\ \sf : \implies {2(2b\ +\ b)\ =\ 288} \\ \\ \sf : \implies {4b\ +\ 2b\ =\ 288} \\ \\ \sf : \implies {6b\ =\ 288} \\ \\ \sf : \implies {b\ =\ \dfrac{\cancel{288}}{\cancel{6}}} \\ \\ : \implies {\underline{\boxed{\purple{\frak{b\ =\ 48m}}}}} [/tex]

∴ Hence, breadth of the rectangular field is 48m. Now, let's find out the length of the rectangular field.

LengtH :-

2(48)2 × 4896m

∴ Hence, the length of the rectangular field is 96m. Now, let's find out the area of the rectangular field.

⠀⠀⠀⠀⠀━━━━━━━─━━━━━━━

[tex] \red \bigstar \sf{\underline{Finding\ area\ of\ the\ rectangular\ field:-}} [/tex]

[tex] \sf : \implies {Area\ of\ rectangle\ =\ l \times b} \\ \\ \sf : \implies {Area\ of\ rectangle\ =\ 96 \times 48} \\ \\ : \implies {\underbrace{\boxed{\pink{\frak{Area\ of\ rectangle\ =\ 4608m^2}}}}_{\sf \blue{\tiny{Area\ of\ the\ field}}}} [/tex]

∴ Hence, area of the rectangular field is 4608m².

kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions ewrong then how many did he answr correctly

Answers

Answer:

21 questions

Step-by-step explanation:

Given

[tex]Wrong : Right = 2:7[/tex]

Required

Determine the number of correct answers if he answered 6 wrongly

The required ratio can be represented as:

[tex]Wrong : Right = 6 : X[/tex]

Where X represents number of right answers for 6 wrong answers.

Next, we equate both ratios:

[tex]6:X = 2:7[/tex]

Convert to fraction

[tex]\frac{6}{X} = \frac{2}{7}[/tex]

Cross Multiply

[tex]X * 2 = 6 * 7[/tex]

[tex]2X = 42[/tex]

Divide through by 2

[tex]X = 21[/tex]

Hence, he answered 21 correctly

whats 13 divided by 8 as a mixed number

Answers

Answer:

the answer would be 13/8

13 divided by 8 can be written [tex]1\dfrac{5}{8}[/tex] as a mixed number.

The division is a mathematical operation that contains decoupling a quantity or number into equal proportions. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to get the quotient.

13 can be split as follows:

13 = 1 × 8 + 5.

It is evident that when 13 is divided by 8, it gives 1 as a quotient and the remainder is 5.

Thus, the fraction [tex]\frac{13}{8}[/tex] in the mixed form is [tex]1\dfrac{5}{8}[/tex].

Learn more about Division here:

https://brainly.com/question/2273245

#SPJ6

2.
In an annual function of a school every student has to participate either in sport or
in music. Out of 180 students, if 120 participate in sport and 40 participate in both
activities, find,
(i) how many students participate only in music?
(ii) Represent the above information in a Venn-diagram

Answers

Answer:

1.) 60 students

11.) kindly check attached picture

Step-by-step explanation:

Given that:

Total number of students = n(Total) = 180

Number who participate in sport = n(Sport) = 120

Number who participate in both = n(Sport n Music) = 40

Number who participate only in Music =?

Let number who participate in Music = x

Hence, n(Music only) = x - 40

n(Sport only) = 120 - 40 = 80 students

Summing all should give us n(total)

n(sport only) + n(sport n music) + n(music only) = 180

80 + 40 + (x - 40) = 180

80 + 40 + x - 40 = 180

80 + x = 180

x = 180 - 80

x = 100 students

Therefore,

n(Music only) = x - 40 = 100 - 40 = 60 students

I NEED THIS ASAP I HAVE TROUBLE WITH IT PLEASEEEEEEEEEEE!!!!!!!!
WORTH 11 POINTS !!!!!!!!! IT IS ALL I HAVE SRRY BBY
SHOW ALL WORK FOR EXTRA POINTS PLSSSSSSS!!!!!!!

Judy earns $11.80 per hour working at a fast food restaurant . How much money
will she earn for 12.5 hours of work?

Answers

Answer:

 $147.50

Step-by-step explanation:

all you have to do is multiply the two numbers together

Find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

4

Step-by-step explanation:

that is what i think it is i am almost positive

Work out the problem -5-8​

Answers

-13

Answer:

since 5+8 is 13 and there's a '-' in the five than it's-13

A salesperson at a jewelry store earns 3% commission each week. Last week, Heidi sold $750
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned $ in commission.

Answers

She made $22.5 of commission

hi my question is what is 72x13​

Answers

936 is the answer :)))))))))))

Answer:

936

7 2

×  1 3

2  

2 1 6

7 2 0

9 3 6

Brainleist?

What does a cluster tell you about the data on a scatter plot?

Answers

It can tell you the general pattern or that it is far from the other points in scatter plot.

Answer:

it all depends on where it is if it is in the middle you do not have enough information to determine if it is increasing or decreasing

Step-by-step explanation:

Can someone please help me with this question i have 3 minutes left

Answers

Answer:

It will cost 11 cents a day.

Step-by-step explanation:

1.98/18=11

plzz have brainiest

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