A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.

4x + 5y = 30.50

11x + 14y = 84.50

The variable x represents the
.

The variable y represents the
.

The deli charges $

Answers

Answer 1

Answer:

The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

Step-by-step explanation:

Let the cost of 1 pound of meat be x

Let the cost of 1 pound of cheese be y

Cost of 4 pounds of meat = 4x

Cost of 5 pounds of cheese = 5y

Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.  

So, equation becomes :

Cost of 11 pounds of meat = 11x

Cost of 14 pounds of cheese = 14y

Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.

So, equation becomes :

Thus the system of equations are :

-1   (Red line)

-2   (Black line)

Solving these equations graphically we get the solution

x = $4.5

y = $2.5

Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.


Related Questions

G.
G
7 cm
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Find volume

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Step-by-step explanation:

The volume = [tex](\frac{22}{7} )(7^{2} )(8)[/tex]

= 1232

please give me a brainliest answer

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Given the graph of f'(x) shown below, find the intervals on which the function f(x) is increasing.
See the graph attached below.

Isn't the answer supposed to be (-infinity, -2) U (1, infinity) ?

Answers

Answer:

intervals (-3,-1) and (0,+infinity)

Step-by-step explanation:

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Line segment AB has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime? (5 points)

a
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b
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c
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d
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Answer:

5 units

Step-by-step explanation:

2+3=5

6.) Danasia has two summer jobs. During the week she works in the grocery store and on the
weekend she works at a nursery. She gets paid $15 per hour to work at the grocery store and
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Answer: 630 = 15x + 18y

Step-by-step explanation:

c. Point B (-3, -4) is also on the circle. Verify algebraically whether triangle OAB is a
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Answer:

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Step-by-step explanation:

don't use this awnser its wrong

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I think it’s C. die stock

Brainliest for a correct answer!!!

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Answer:

You have the correct answer selected, (C.) Die stock. I hope this helps you! Good luck! : )

Wolfman and Dracula we’re having a contest to see who can scare people the most for every three people Dracula scare Wolfman scared seven if Wolfman scared 24 more people how many people were scared and all

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so um i to get a new phone with him to help me with my work schedule and then i i to get my money on my way back from work so i’ll give him my bath now i and i and my mom works at the house for me a few days and i to see if he wants me a friend and 728

Ashley went to a store and bought 3 items. Each item cost $21. How much did she spend

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Answer:

$63

Step-by-step explanation:

May I please receive help?

Answers

Well I’m not sure if I’m right:
This is my answer:
1

(Inscribed Angles)
Find m∠N.

Answers

Answer:

x=9 y=3

Step-by-step explanation:

because 5x+9=6x and 6y-1=3y+8

x=9 y=3

branlist please

Find the slope of (2 , -7 ) and ( -1 , 6 )


A. 4

B. -6

C. -1/6

D. 6

Answers

Answer:

-13/3

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - (-7) / -1 - 2

13 / -3

= -13/3

Hello !

Answer:

[tex] \boxed{\sf None \: of \: the \: options \text{:} \: \: m =- \dfrac{13}{3}} [/tex]

Step-by-step explanation:

The slope m of a line passing through two points can be calculated using the following formula:

[tex] \sf m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \\ [/tex]

Let (x₁ , y₁) = (2 , -7)

Let (x₂ , y₂) = (-1 , 6)

Substitute these values into our formula:

[tex] \sf m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{6 - (-7) }{-1 - 2 } = \dfrac{13}{-3}\\ \\ \implies \boxed{\sf m = -\dfrac{13}{3}} [/tex]

Have a nice day ;)

someone help it’s about gradients etc check photo please!! (The coordinates of K and L are (-8, -5)

Answers

Answer:

[tex]i) \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] = \frac{y {}^{1} - y {}^{2} }{x {}^{1} - x {}^{ {}^{2} } } [/tex]

[tex] = \frac{ - 5 - ( - 1)}{ - 8 - ( - 2) } [/tex]

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

[tex] = \frac{2}{3} [/tex]

The temperature at 6pm is
54℉. The temperature at 10pm
is 42℉. How many degrees did
the temperature fall?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12°F??¿??¿????¿??!??????????

Solve for t:
t + 7 = 21

A: t= 28
B: t= 14
C: t= -28
D: t= -14

Answers

t + 7 = 21

---Subtract 7 from both sides

t + 7 - 7 = 21 - 7

t = 14

Hope this helps!! :)

Answer:

B) t = 14

Step-by-step explanation:

Which graph best represents the solution set of y > 5/3x + 2?

Answers

Answer:

[tex]y > \frac{5}{3} x + 2[/tex]

The choice A.

I hope I helped you^_^

factor the expression using the gcf 2t-10​

Answers

The GCF of 10 and 2 is 2.
So, 2(t-5).

3. Which phrase best describes the function of the ATP molecule?

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Answers

Answer:

1.) Carries energy

Step-by-step explanation:

A good summary of an ATP molecule is a molecule that transfers energy between cells... meaning it carries energy from cell to cell. Furthermore, energy cannot be destroyed, and cannot be absorbed, only changed and transformed. This leaves us with two options, (1. Carries energy, and 4. None of the above). Since we already have a basic understanding of what an ATP molecule does, we can confidently determine that the correct answer is that an ATP molecule can best be described as carrying energy.

It is 12:49 what time it will be 30 minutes from now

Answers

Answer:

01:19 PM

Step-by-step explanation:

if its 12:49 then in 30 minutes it'll be 1:19pm

because

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Hope this helped you- have a good day bro cya)

Answer:

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Hope you have an amazing day!

Solve for b. Express your answer as an integer or integers or in simplest radical form. -165= -3-6b^3
Fastest and correct wins brainliest

Answers

I wanna help you but I don’t understand sorry


The difference of half
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is equivalent to
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five.

Answers

3/2=3-5

Step-by-step explanation:

jdjdnsnsnsmanzna

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(Need help with this in Math!)

Answers

The answer is 5040.

7! means 7x6x5x4x3x2x1

7x6x5x4x3x2x1
42 x 20 x 6
42 x 120
5040

determine the H.C.F of 12,48,60​

Answers

Answer:

HCF(12, 48, 60) = 12

Step-by-step explanation:

HCF of 12, 48, 60 is 12 since 12 is largest number which exactly divides all the numbers

Highest common factor (HCF) of 12, 48, 60 is 12.

Hope this helped you- have a good day bro cya)

what is the slope of a line parallel to the line whose equation is 2x + y = 3?

Answers

Step-by-step explanation:

Here is the answer to the question

Answer:

-2/1

Step-by-step explanation:

Rewrite equation in point-slope form

y=-2x+3

in y=mx+b, m= the slope

The slope of the line is -2/1

Any lines parallel to this line will have the same slope

Josiah skateboards from his house to school 3 miles away. It takes him 36 minutes.

How many minutes will it take Josiah to skateboard to his friend Sebastian’s house, which is 2 1/2

miles from school, if he travels at the same rate that he did from his house to school?


In the box below, type the number that goes in the blank.

Answers

Using the speed - distance relationship, the number of minutes it will take Josiah to cover a distance of 2.5 miles is 30 minutes.

Calculating Josiah's speed :

Speed = (distance ÷ time)

Speed = (3 ÷ 36) = 0.08333 miles per minute.

Time taken to cover a distance of 2.5 miles :

Time taken = (Distance ÷ Speed)

Time taken = (2.5 ÷ 0.08333) = 30 minutes

Therefore, it will take 30 minutes for Josiah to cover a distance of 2.5 Miles

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Answers

Answer:

1

Step-by-step explanation:

1 is the first natural number because 0 is not a natural number.

All natural numbers are numbers from 1 onward.

Ex. 1.2.3.4.5.6...

<1 and <2 are complementary angles. m<1=2x+34, and m<2=2x+8. find the measure of each angle

Answers

Step-by-step explanation:

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4x+42=90°

-42. -42

4x=. 48

÷4. ÷ 4

x= 12 ( divide both sides by 4)

( you need to substitute x)

2(12)+34

measure of angle 1 is equal to 58

2(12)+8

measure of angle 2 is equal to 32

Can somebody help me with this?

Answers

Answer:

wrong

Step-by-step explanation:

(2(x + 13)) /3

the expression says x = 5, so let's check:

(2(5 + 13)) /3

36/3 = 5...FAKE

Find the domain:

(2x^2-2)/ x

Answers

Answer:

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

Answer:

Answer attached in the image

last 2 guyss !!!! tysm

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First one is a rotation 90° clockwise

Second one is B. 134°

Answer:

A 90° clockwise

B 134°

To indirectly measure the distance across a river, Nolan stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Nolan draws the diagram below to show the lengths and angles that he measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.

Answers

The length of PR to the nearest foot is 198.94 feet

Find the diagram attached

From the diagram, the triangle PRE and POC are similar triangles.

Let PR = x

Based on similarity theorem;

PR/RE = PR+RO/OC

x/135 = (x+140)/230

Cross multiply

230x = 135(x+ 140)

230x = 135x + 18,900

230x - 135x = 18,900

95x = 18900

x =18900/95

x = 198.94

Hence the length of PR to the nearest foot is 198.94 feet

Learn more here: https://brainly.com/question/19892143

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