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

Sven participates in his employer’s 401k plan. His annual salary is $52,000. Sven contributes 7.5% of his annual salary. His employer matches his contributions up to 5% of his salary. How much money will be contributed to Sven’s plan for one year?

Answers

Answer:

$ 6,500

Step-by-step explanation:

(52,000)(0.075)+(52,000)(0.05) = 3,900 + 2,600

= 6,500

What is the smallest number greater than 1 that leaves a remainder 1 when divided by each of 2, 3, and 4?
PLS SHOW WORK

Answers

Answer:

YOOOO I LOVE YOUR PROFILE PICTURE. SILENT VOICE IS SO SAD BUT SO GOOD <3 :D

how to expand (x+3)(x+4) into algebraic expression​

Answers

Answer:

x²+7x+12

Step-by-step explanation:

x*x=x²

x*4=4x

3*x=3x

4x+3x=7x

3*4=12

=x²+7x+12=0

Answer: ^2 + 7 + 12

Step-by-step explanation:

(x + 4)(x + 4)

( + 4)+3( + 4)

( + 4)+3( + 4)

^2 + 4 + 3( + 4)

^2 + 4 + 3 + 12

^2 +7 +12

Line j passes through the points (-5,-2)
and (5,4).

Line k passes through the point
(-3,6) and is perpendicular to line j.

Find an equation for line k.


**the answer is probably in slope intercept form.

Answers

Answer:

y = - 5/3x + 1

Step-by-step explanation:

Slope of line j = (-2-4)/(-5-5)

Slope = -6/-10 = 3/5

Slope of the perpendicular line k: -5/3

Point of line k: (-3,6)

y-intercept of line k = 6 - (-5/3)(-3) = 6 - 5 = 1

alr so imma need this answer rn

Answers

The answer should be:

x = 5

So the answer is basically 5

A bouncy ball is dropped. The function h(n)=300(3/4)^n−1 models the maximum height of the ball, in centimeters, after its nth bounce.

Select EACH true statement about the scenario.

[] The function represents a geometric sequence.
[] The first term in the sequence is 300.
[] The height of the ball after the first bounce is 300 cm.
[] The ball is dropped from a height of 300 cm.

*Multiple Choice*

Answers

The true statements about the scenario are;

The function represents a geometric sequence. The first term in the sequence is 300.

The standard form of a geometric sequence is expressed as:

[tex]Tn = ar^{n-1}[/tex]

a is the first term

r is the common ratio

n is the number of terms

Given the expression [tex]h(n)=300(\frac{3}{4} )^{n-1}[/tex]

Compare and contrast

a = 300

This shows that the first term of the sequence is 300.

Also, a function represents a geometric sequence

Hence the true statements about the scenario are;

The function represents a geometric sequence. The first term in the sequence is 300.

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. Twelve out of 36 students in a class are in the
drama club. What is the ratio of the students in the
drama club to the students who are not in the
drama club?

Answers

36-12=24

The answer is:

12;24 or 1;2 (simplified)

The line passes the points (-6,2) and (3,-5)​

Answers

Answer:

Slope-intercept form:

y = -7/9x - 8/3

The slope:

m = -7/9

Picture is of it graphed

The sum of half of a number and 8 less
than the number is 25. Find the number.

Answers

Answer:

The number is 22

Step-by-step explanation:

let x = the number

[tex] \frac{1}{2} x + x - 8 = 25 \\ \frac{1}{2} x + x - 8 + 8 = 25 + 8 \\ \frac{1}{2} x + x = 33 \\ factor \: out\: x \: on \: the \: left \\ x( \frac{1}{2} + 1) = 33 \\ divide \: both \: sides \: by \: \frac{1}{2} + 1 \\ \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2} + 1} = \frac{33}{ \frac{1}{2} + 1} \\ x = \frac{33}{ \frac{3}{2} } \\ x = \frac{66}{3} \\ x = 22[/tex]

let's factor out x from the left hand sid

9/2 + (-8)
Explain the steps

Answers

Answer:

nine divided by 2 plus negative eight

Step-by-step explanation:

9/2=4.5

4.5+(-8)= -3.5

Step-by-step explanation:

= 9/2 + -8/1

= 9/2 + 16/2

= 9 + (-16)/2

= -7/2

Can someone pls help me with this!!!

Answers

Answer:

Step-by-step explanation:

Convergent:  Two plates are coming together.  This results in one or both edges of the plates to move upwards to form mountains.  If one plate is pushed down while the second is pused up, a deep trench may form (ocean trenches).  Volcanoes and earthquakes may also form along this boundary.  The Pacific "Ring of Fire" is due to convergent plate collisions.

Divergent: Divergent boundaries occur when two plates move away from each other. Earthquakes and volcanoes are common as the growing gap allows magma to comes to the surface.  Iceland is divided between the North American and Eurasian plates and this has produced an ever-widenng gap down the center of the country, which is both a major tourist attraction and a source for volcanic activity and numerous hot spring pools.  One bridge across this gap is known as the "Bridge Between Continents," and is designed to accomodate the Xcm/year stretch as the continents separate even further.

Transform:  Two plates slide past each.  The San Andreas fault is one of the more famous.  Structures, both natural and man-made, that cross a transform boundary can be split into pieces and moved in opposite directions. Rocks along the boundary are pulverized as the plates grind them.  This can result in a linear fault valley or undersea canyon. Earthquakes are common along these faults. Unlike convergent and divergent boundaries, crust is cracked and broken at transform margins, but is not created or destroyed as with convergent and divergent boundaries.

help me!!!!!!! please please please

Answers

Answer:

y and 65 is equal

y= 65°

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

65 because it's all equal sides which means they equal the same :) hope this helped!

if everything in a store is 20% off and the discounted price of an item is $18.00 what is the regular price?

Answers

Answer:

14.4 dollars

Step-by-step explanation:

If you buy an item at $18 dollars with a 20% discount, you will pay 18 - 3.6 = 14.4 dollars

yeah, uhm can someone help me with this?

Answers

Answer:

-24

Step-by-step explanation:

[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]

I will give you brainliest if you solve the math question

Answers

Answer:

x=70

y=55

Step-by-step explanation:

We can start by finding the opposite angle to 125.

180-125=55

We would use 180 because a line is a straight angle, therefore if you intercept the line both angles would add up to 180.

55 is y because they are equivalent.

the sum of all the angles is always 180 so...

55+55=110

180-110=7

Which statement is true about the relationship between the height of the plant and the number of days?

A. This relationship is a function because the plant can be more than one height at a time.
B. This relationship is not a function because the plant can be more than one height at a time.
C. This relationship is not a function because the plant can only be one height at a time.
D. This relationship is a function because the plant can only be one height at a time.

Answers

This relationship is a function because the plant body can be of only one particular height at a time.

A function can be defined as a relationship between a set of inputs having only one output each. In other words, a function is basically a relationship between inputs and outputs; where each input is related to only one output at a time. Functions are said to occur when the recorded value of x is varied each time. Since we know that the height of the plant (the x-value) varies by each day, Therefore it is a function.

thus we can conclude that the correct option for the relationship between the height of the plant and the number of days is option D, which tells that this relationship is a function because the plant body can only be of one particular height at a time.

To learn more about functions

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(7a*2b)+3c=3c+(7a*2b)

A.Commutative Property of Addition
B.Commutative Property of Multiplication
C.Associative Property of Addition
D.Associative Property of Multiplication

Answers

The answer is D. Associative Property of Multiplication.

(7a*2b)+3c=3c+(7a*2b) the property for the given expression is Option A) Commutative Property of Addition.

The given expression is (7a*2b) + 3c = 3c + (7a*2b). This equation demonstrates the Commutative Property of Addition.

The Commutative Property of Addition states that the order in which numbers are added does not affect the result.

In mathematical terms, it can be written as: a + b = b + a.

In your expression, you have terms involving both addition and multiplication. However, since addition is involved on both sides of the equation, we can focus on the addition aspect.

(7a*2b) + 3c = 3c + (7a*2b)

First, we can rearrange the terms on the left side:

7a*2b + 3c = 3c + 7a*2b

Now, observe that the terms on both sides of the equation are the same: 7a*2b and 3c.

They are just arranged in a different order. This aligns with the Commutative Property of Addition, which says the order of addition doesn't matter.

Therefore, the expression is an illustration of this property, and the correct answer is the Commutative Property of Addition (A).

In summary, the expression shows that changing the order of terms within an addition does not change the result, thus demonstrating the Commutative Property of Addition.

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For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°

will give brailist to correct answer and if you show the work

Answers

The sum of the measure of angle of a triangle = 180° .

Given two angles = 92° and 72°

_________________________

92° + 72° = 164°

180° - 164° = 16° (Ans)

Answer:

the answer is  16!

Simplify 3a^2-a^2 pleassssewwwwwww

Answers

Answer:

2a^2

Step-by-step explanation:


i need some help on this!

Answers

Answer:

4

Step-by-step explanation:

AB=AC

2x-3=x+3

x=6

______________________________

BC=

x-2

(6)-2=4

Is side length 17, 144, and 145 right triangle?

Answers

Yes it is.

Use the Pythagorean Theorem:

a²+b²= c²

So, 17²+144²=145²

289+20736=21025

289+20736=21025

21025=21025

Mrs. Larsen wants to get some markers for her class. She notices that they come in boxes of
8.
Write an equation that shows how the total number of markers Mrs. Larsen gets, y, depends
on the number of boxes she buys,X.
y =


(i’ll crown brainliest to whoever answers first, i don’t need the explanation just the answer and how i’m supposed to write it out)

Answers

Answer:

y=8x

Step-by-step explanation:

hubsdgvgcsvya

The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mrs. Larsen wants to get some markers for her class.

She notices that they come in boxes of 8.

Now,

Let total number of markers = y

And, Number of boxes = x

Here, She notices that they come in boxes of 8.

So, We can formulate;

⇒ y = 8x

Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

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classify the equation as having one solution no solution or infinite solution

4(9x+6)=36x-7 And the solution is x=

Answers

Answer:

[tex]\boxed{\bf {{No\:Solution}}}[/tex]

Step-by-step explanation:

[tex]\bf 4(9x+6)=36x-7[/tex]

Expand: Apply Distributive proprty:

[tex]\bf 36x+24=36x-7[/tex]

[tex]\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x+24-24=36x-7-24[/tex]

[tex]\bf 36x=36x-31[/tex]

[tex]\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x-36x=36x-31-36x[/tex]

[tex]\bf 0=-31[/tex]

Because the sides are not equal there is no Solution



in the diagram, fine pis parallel to side BC. What is the sum of the measures of 21 and 22? B What is the sum of the measures of_1 and _2? P 570 m_1 + m_2= ID 1 A 2 49 c​

Answers

Answer:

76 women classified with severe hip pain, the WOMAC mean function score was 70.7 with standard deviation of 14.6, and we wish to know if we may conclude that the mean function score for a population of similar women subjects with severe hip pain is less than 75. let alpha is equal

Do you set the legs of an isosceles triangle equal to each other when given one leg and the other is an equation?

Answers

Answer:

Yes

Step-by-step explanation:

Both legs of an isosceles triangle are congruent so they can be made to say that one leg=the equation of the other leg.

When polled to find out if they
preferred hamburgers or hot dogs, all 120
students in the class responded. Sixty-five
percent said they preferred hamburgers,
while the rest preferred hot dogs, The
Picnic Committee decided to order 2
hamburgers or 2 hot dogs for each
student, based on the students' choices.
How many hamburgers were ordered

Answers

Answer:

156 hamburgers

Step-by-step explanation:

Number of students = 120

Number of those prefer hamburgers:

120*65/100 = 78

Number of hamburgers ordered:

78*2 = 156
Answer: Total 156 hamburgers

Step-by-step explanation:

[tex]\boxed{\begin{array}{c|c|c} \boxed{\bf hamburgers } & \boxed{\bf hot \ dogs } &\boxed{\bf Students } \\ 65\%& (100-65)=35\% & 120 p \\ \end {array }}[/tex]

Each person is given 2 burgers or 2 hot dogs

Then :

120*2*0,65=156  hamburgers

if kathy had 1700 apples and split with her 4 friends. and then one friend give her back 15 apples. and she gives then 1 apple back. how. much does she have.​

Answers

Answer:

439

Step-by-step explanation:

1700/4=425

15-1=14

425+14=439

brian split 5/6 pounds of candy among 3 people what is the unit rate

Answers

Answer:

5/18

Step-by-step explanation:

Divide the total by number of people to find the unit rate:

5/6 : 3 = 5/18 pounds  per person

Answer:

[tex]\sf\longmapsto \frac{5}{18}pounds \:per\: person [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{5}{6} : 3[/tex]

[tex]\sf\longmapsto \frac{5}{18} pounds \:per\: person [/tex]

7 divided by 9 and 7 simplify

Answers

7 divided by 9 is 0.77777777778

Answer:

Assuming you mean 7 divided by 9/7, the answer would be 5 4/9. If you can clarify your question though if I'm wrong, I'd love to redo the problem and get you the right answer! ^-^

Step-by-step explanation:

Directions: Follow the instructions for the following inequalities. Will give brainlist!


1. 4<7 Multiply both sides by 7, then by 6, then by 3, then by 10

2. 11>-2 Add 5 to both sides, then add 3, then add (-4)

3. -4<-2 Subtract 6 from both sides, then 8, and then 2

4. -8<8 Divide both sides by -4, then by -2

5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Answers

1) 4<7

×7 ×7

28<49

×6 ×6

168<294

×3 ×3

504<882

×10 ×10

5040<8820

2) 11>-2

+5 +5

16> 3

+3 +3

19>6

+-4 +-4

15>2

3) -4<-2

-6 -6

-10<-8

-8 -8

-18<-16

-2 -2

-20<-18

4) -8<8

÷-4 ÷-4

2<-2

÷-2 ÷-2

-1< 1

5) ~The affect of the inequality sign didn't change. If you add or subtract the same positive or negative number to both sides of an inequality or an equation, the inequality stays the same. If you multiply or divide both sides of an inequality or an equation by the same positive number, the inequality stays the same. This is because when manipulating inequalities there are rules this if a < b then a + c < b + c so we get a new number that replaces a and b yet the inequality symbol stays the same so a still is smaller than b.

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

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