A vendor sells burgers and cookies. A customer buys 2 burgersand 2 cookies for $7.50. Another customer buys 4 burgers and 3 cookies for $13.75. Find the cost of each item.

Answers

Answer 1

Answer:

The burgers cost $2.50 and the cookies cost $1.25.

Step-by-step explanation:

Let b represent burgers and c represent cookies.

2b + 2c = 7.50

4b + 3c = 13.75

Step 1: Use one of the two equations and isolate one of the variables.

2b + 2c = 7.50

      - 2c    -2c

[tex]\frac{2}{2}[/tex]b = [tex]\frac{7.50}{2}[/tex] - [tex]\frac{2}{2}[/tex]c

b =  3.75 - c

Step 2: Plug what you get for b into the second equation.

4(3.75 - c) + 3c = 13.75

15 - 4c + 3c = 13.75

15 - 1c = 13.75

Step 3: Isolate the variable and solve for c.

15 - 1c = 13.75

-15        -15

[tex]-\frac{1}{1}[/tex]c = [tex]\frac{-1.25}{-1}[/tex]

c = 1.25 ← price for cookies

Step 4: Plug in what you have for c into one of the previous equations and solve for b.

2b + 2(1.25) = 7.50

2b + 2.50 = 7.50

     - 2.50   -2.50

[tex]\frac{2}{2}[/tex]b = [tex]\frac{5}{2}[/tex]

b = 2.50 ← price for burgers

Now you know the cost of each item:

The burgers cost $2.50 and the cookies cost $1.25.


Related Questions

Encuentra las coordenadas del punto P(x,y) que divide al segmento P1P2 con coordenadas
de sus extremos P1(x1,y1) y P2(x2,y2) dada la razón r.
P1(-1,6) P2(3,-3) r = ¾

Answers

Usando segmentos de línea, se encuentra que el punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]

El punto P1 es dado por (-1,6).El punto P2 es dado por (3, -3).

El punto P divide el segmento en la razón [tex]r = \frac{3}{4}[/tex], o sea:

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

La coordenada x de P1 es -1.La coordenada x de P2 es 3.La coordenada x de P es x.

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

[tex]x + 1 = 3[/tex]

[tex]x = 2[/tex]

La coordenada y de P1 es 6.La coordenada y de P2 es -3.La coordenada y de P es y.

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

[tex]y - 6 = -\frac{27}{4}[/tex]

[tex]y = -\frac{27}{4} + \frac{24}{4}[/tex]

[tex]y = -\frac{3}{4}[/tex]

El punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]

Un problema similar es dado por https://brainly.com/question/4854238

I need help on the "the slopes are" part on these 2 plz help

Answers

Answer:

Negative reciprocals

The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 178 feet. Find the length of the garden.

Answers

Answer: 48

Step-by-step explanation:

l = w + 7

2w + 2l = 178

2w + 2(w + 7) = 178

2w + 2w + 14 = 178

4w = 164

w = 41

l = w + 7

l = 41 + 7

l = 48

L = 46.25
Check
2L + 2W = 178
2(46.25) + 2W = 178
92.5 + 2W = 178
-92.5. -92.5
2W = 85.5
Divide by 2 on both sides
W = 42.75

2(46.25) + 2(42.75) = 178
92.5 + 85.5 = 178
178 = 178 ✅

Simplify the expression: (5.2 + 6.8)x - (25 ÷ 5)x

Answers

Answer:

7x

Step-by-step explanation:

(5.2 + 6.8)x - (25 ÷ 5)x

12x-(25divied by 5)x

12x-5x

7x

The answer will be 7x guys

What is the perimeter of the shape below?
3 cm
4 cm
8 cm
4 cm

Answers

Answer:

:D

Step-by-step explanation:

it is 19 cm

The quotient of a number p and 3 is 24

Answers

Answer:

p= 8

Step-by-step explanation:

because 8 x 3 is 24

hope this helps!❄︎

Answer: p would equal 8
Explanation: if you think about it and divide 24 by 3 you would get 8

What are the steps for solving and graphing 2x - 3y = 9?

please help!

Answers

Answer:

Step-by-step explanation:

In year one the population of rabbits is 100. In year three the population is 300. Assuming the population is to go unchecked and is linear what will be the population in year 10? Construct a formula for this.

Answers

Answer:

the rabbits ran away

Step-by-step explanation:

now its 300 rabbits

tammy has soccer practice every 12 days, basketball 18 days, band practice 20 days, and music class every 24 days. If she has all these practices on the same day today, then how many days will it be until she has all four practices.

Answers

Answer:

360 days

Step-by-step explanation:

It would be a whole year until the classes line up on the same day again, because it would only be the exact same date of the next year that they line up.

Hope this helps!

There is a 0.9968 probability that a randomly selected 50 year old female lives through the year (based on data from the US department of Health and Human Services). A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.

Answers

There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).

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

A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.

From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?

----

Ans: -226 ; 50,000-226 = 49774

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

If a 50-year-old female purchases the policy, what is her expected value?

 

WORK TRIED:

In the event she lives, the value is -$226. In the event she dies, the value is $49,774.

----

E(x) = 0.9968*(-226) + 0.0032(49774) = -$66

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

Cheers,

ROR

At the movies, tickets cost $16.50 for adults and $5.50 for kids under 12. How many total tickets would someone get if they purchased 11 adult tickets and 16 kids tickets? How many total tickets would someone get if they purchased aa adult tickets and kk kids tickets?

Answers

Answer: 27 tickets a+k

Step-by-step explanation:

11+16

Can someone help me please

Answers

Answer:

15 - 17 = 0.013333 (1.3333%)

latte drop = 8.3%

gasoline = 9%

F(x)=x^2. What is g(x)?
A. G(x)=-x^2
B. G(x)=-2x^2
C. G(x)=-x^2-2
D. G(x)=x^2-2

Answers

[tex] - x ^{2} - 2 = gx[/tex]

How do you find out if angle A is a right angle?

Answers

Answer:

Calculate the distance of AB, AC and BC. Then use the pythagorean theorem to see if AB^2 + AC^2 = BC^2

If it does, angle A is a right angle.

How many pounds are in 1 1/2 pounds and 8 ounces?

Answers

Answer:

2 pounds

Step-by-step explanation:

Because 8 ounces = 0.5 pounds

1.5+0.5=2

Solve the inequality -3p + 7 < -2p+8​

Answers

p  >  −  1

............................................................................................

How does insurance reduce social burden?
A. Insurance ensures that people don't have to pay high deductibles.
B. Insurance ensures that losses are not passed on to society.
C. Insurance ensures that lenders publicize rates and treat all
customers equally.
D. Insurance ensures that people are treated fairly in hiring and
employment decisions.

Answers

Answer:

c po is the correct aswer

Step-by-step explanation:

correct me if im wrong hope it's help

thanks

Answer:

B. Insurance ensures that losses are not passed on to society

Hope this helps :)

pleasee help meeeeeee

Answers

Step-by-step explanation:

we mulyiply 3*1 =x-7

3=x-7

-x= -7-3

-x= -11 so when we divide -11 by -x it becomes 11

Which expression is NOT equal to 729?
3 × 3 × 3 × 3 × 3 × 3
63
9 × 9 × 9
36

Answers

Answer:

6^3

Step-by-step explanation:

3 × 3 × 3 × 3 × 3 × 3=729

6^3=216

3 × 3 × 3 × 3 × 3 × 3=729

3^6=729

Hope this helps :)

3 × 3 × 3 × 3 × 3 × 3

63

9 × 9 × 9

36

Find the slope of the line passing through the points (7.6) and (7.-2).​

Answers

Slope of (7,6) and (7,-2) is: -8

BEST ANSWER GETS BRAINLIEST!!!!!!!!1

Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1351 liters of water. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 35.75 liters per minute.

After how many minutes will the two pools have the same amount of water?


How much water will be in each pool when they have the same amount?

Answers

After how many minutes will the two pools have the same amount of water? 36 min.

How much water will be in each pool when they have the same amount? 2638 liters.

Explanation:

y=1900+20.5x

y=1351+35.75x

Let the time be t

[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]

[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]

[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto t=2.9h[/tex]

pls help i’ll mark brainliest!!
Interpret the slope of the function in the terms of the problem.
25 ml of water are lost every hour
5 ml of water are lost every hour
10 ml wat are lost every hour
2mL of water are lost

Answers

2 ML lost every hour that’s what I think

3. Sarah has a goal to save $81.84 for a new gan
If she has 12 weeks to save the money, how much does she need
to save each week?

Answers

Answer:

93.84

Step-by-step explanation:

I think I'm not sure

can someone help with this problem

Answers

Check the picture below.

Lin's family has completed 30% of a trip, they have travelled 45 miles. How far is the trip?

Answers

Answer:

2 hours

Step-by-step explanation:

Answer:

150 miles

Step-by-step explanation:

45/3=15

15*7=105      15*3=45

105+45=150

15*10=150

:)

PAGE 77/215 #1A-C
What percentage of a dollar is the value of each coin combination?

a. 4 dimes
b. 1 nickel and 3 pennies
c. 5 quarters and 1 dime
?

Answers

Answer:4 dimes = 40 cents

1 nickel 3 pennies =8 cents

5 quarters and 1 dime = $1 and 35 cents

step explanation:

PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula

Answers

Answer:

Your answer would be x=2±√5

Step-by-step explanation:

Estimate the total of 56.213, 7.983, and 0.344 by rounding each value to the nearest hundredth

Answers

Answer:

64.53

Step-by-step explanation:

56.213 rounds to 56.21

7.983 rounds to 7.98

0.344 rounds to 0.34

Next you do 56.21 + 7.98 + 0.34 = 64.53

All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.

Here the numbers are,

56.213

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

56.21

7.983

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

7.98

0.344

Since the value in the thousandth place is 4 which is less than 5.

Hence round the number down.

0.34

To learn more about rounding numbers visit:

brainly.com/question/27207159

#SPJ3

L shcool W clash royale ​

Answers

Answer:

THEY ARE CONGRUENT BY ASA TEST OF CONGRUENCE

: The cost of 30 sandwiche rolls at $1.50 per dozen is a. $3.00 b. $3.45 c. $3.75 d. $4.50 e. $4.80

Answers

Step-by-step explanation:

their are total 12 sandwiche rolls in a dozen so,

price of 12 sandwiche rolls are $1.50

so, cost of 1 sandwich roll = 1.50/12 = $0.125

now,

cost of 30 sandwich rolls = 30 × 0.125 = $3.75

therefore, option C is correct.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

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