Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that costs $3.25, and a deli cheese that costs $5.99 a pound. He would like to buy as much cheese as possible, so he asks the deli worker to see how much each slice weighs. Each slice weighs 0.04 pounds. Which inequality can be solved to find x, the number of slices that Paul can afford to buy?

Answers

Answer 1

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

[tex]3.25+(5.99\times 0.04x)\leq 10[/tex]

[tex]0.2396x\leq 10-3.25[/tex]

[tex]0.2396x\leq 6.75[/tex]

Divide both sides by 0.2396.

[tex]x\leq \dfrac{6.75}{0.2396}[/tex]

[tex]x\leq 28.172[/tex]

The maximum integer value of x is 28.

Therefore, the required inequity is [tex]3.25+(5.99\times 0.04x)\leq 10[/tex] and 28 number of slices Paul can afford to buy.


Related Questions

please help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?

Answers

Answer:

[tex](j-5)(j+3)[/tex]

Step-by-step explanation:

[tex]j^2-2j-15=(j-5)(j+3)[/tex]

The age of John’s brother is j-5 and the age of John’s sister is j+3.

Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The solution for j²-2j-15 is as follows

j²-2j-15

⇒ j²-5j+3j-15

⇒ j(j-5)+3(j-5)

⇒ (j-5)(j+3)

Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ5

Directions
Which one of the following describes the best estimate for 15+ 13?

Answers

Answer:

30

Step-by-step explanation:

15 - 20

13 - 10

   

20+10=30

Which equation represents a line parallel to the line shown on the graph. I need this for a test so pls be quick. Last answer choice is y=-1/3x+12

Answers

The first answer choice should be parallel. This is due to opposite reciprocal slopes being parallel.

The functions below represent the amounts of water released from two reservoirs over x weeks: Reservoir A f(x) = x2 – 7x + 5 Reservoir B g(x) = 3x2 – 6x + 2 The function h(x) = f(x) – g(x) represents the difference in the amounts of water released. Determine which statements about h(x) and about the reservoirs are true. Check all that apply.

Answers

Answer:

Step-by-step explanation:

Find the option below:

h(x) = –2x2 – 13x + 6

h(x) = –2x2 – x + 3

Reservoir A releases less water than Reservoir B over 1 week.

Reservoir A releases the same amount of water as Reservoir B over 1 week.

Reservoir A releases more water than Reservoir B over 1 week.

Given the expressions

Reservoir A f(x) = x^2 – 7x + 5

Reservoir B g(x) = 3x^2 – 6x+2

We are to find the f=difference between the functions h(x) = f(x)-g(x)

Substitute

h(x) =  x^2 – 7x + 5 -(3x^2 – 6x+2)

h(x) =  x^2 – 7x + 5 -3x^2 +6x-2

collect like terms

h(x) =  x^2 -3x^2 +6x– 7x+ 5-2

h(x)= -2x^2-x+3

Next is to know the amount of water released by Reservoir A after 1 week. To do that we will substitute x = 1 into h(x)

h(x)= -2x^2-x+3

h(1)= -2(1)^2-1+3

h(1)= -2-1+3

h(x)= -3+3

h(x)= 0

This shows that Reservoir A releases the same amount of water as Reservoir B over 1 week

Answer:

a,c,b

Step-by-step explanation:

i took the test

what is the product of (-0.5)(-1.2)(-5.22)?

0. -9.8
0. -3.132
0. 3.132
0. 9.8​

Answers

Answer:

The answer is B or -3.132

Step-by-step explanation:

You are multiplying 2 negatives and a positive, so it guarantees it will be negative! Hope this helps!

Square ABCD has vertices A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD?

Answers

Answer:

that answer is b

Step-by-step explanation:

hope this helps

The area of square ABCD would be; 64 unit sq.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]    units.

Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).

To find the distance from two of the vertices of the square. The distance formula is as follows;

√[(x-p)² + (y-q)²]  

A(-4.5, 4), B(3.5, 4),

D = √[(x-p)² + (y-q)²]  

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(64 + 0)

D = 8

Therefore, the side of the square is 8 units.

The area of the square = side x side

= 8 x 8

= 64 unit sq.

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ2

Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6​

Answers

Answer:

a

Step-by-step explanation:

:)

A.

y-y1=m(x-x1) is the formula

A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin 180 degrees clockwise to form Square A'B'C'D', what would be the length of one of the sides? A. 0 units B. 5 units C. 10 units D. 20 units

Answers

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence:

[tex]|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5[/tex]

PLEASE HELP ME ASAP !

Answers

Answer:

1.333333333333333333333333 inches

Step-by-step explanation:

you would do 16 divided by 12. 16 divided by 12 is 1 1/3.

5x-2=3x+4
what does x equal

Answers

Answer:

x=3

Step-by-step explanation:

5x-2=3x+4

[tex]5x-2+2=3x+4+2[/tex]

[tex]5x=3x+6[/tex]

[tex]5x-3x=3x+6-3x[/tex]

[tex]2x=6[/tex]

[tex]\frac{2x}{2}=\frac{6}{2}[/tex]

[tex]x=3[/tex]

Determine the domain and range for this relationship.
f(x)=72-12x
Domain:
Range:

Answers

Answer:

see below

Step-by-step explanation:

f(x)=72-12x

Domain:

Is the possible values that x can take

This is a line and x can take all values

(-∞,∞) or all real numbers

Range:

Is the possible values the output can take

This is a line and y can take all values

(-∞,∞) or all real numbers

Answer: The domain is 6, and range is 72 I believe.

Step-by-step explanation:

I really hope it helps :0

plz help me!! Polynomial Long Division (Level 1)

Answers

Answer:

x² + x + 1

Step-by-step explanation:

What’s 4 divided by 9.1

Answers

Answer:

40/91

Step-by-step explanation:

En el rombo la diagonal mayor es la mediatriz de la diagonal menor, ¿verdadero o falso?

Answers

Answer:

Creo que eso es cierto también grandes habilidades españolas

Step-by-step explanation:


Ms. Darden is selling handmade gloves at the school flea market. It costs her $9 to make one pair of gloves. At the fair she sells the pairs of gloves for $15 each. If she sold 45 pairs of gloves, what was her
total profit?
S: TPIAMTF

Answers

Answer:

270$

Step-by-step explanation:

How do you calculate (2x-5)^2

Answers

4x^2-20x+25 is your answer
Answer: 4x^2 -20x+25

(2)^2 -2•2x•5+5^2
4x^2 -2•2x•5+5^2
4x^2 -20x+5^2
4x^2 -20x+25

30 tens – 3 tens 3 tenths

Answers

Answer:

Step-by-step explanation:

30 tens is 30*10=300. 3 tens is 3*10=30 and 3 tenths is 3*0.1. So assuming you mean 30 tens minus 3 tens and 3 tenths, the answer would be 300-30.3 which would equal 269.7

HELP please ASAP Hw for math class

Answers

2b-15c/5
I’m pretty sure

HELP!!! Please I need this soooooooooooo much

Answers

Answer:

I think the answer is A,C, and D. Sorry if I'm wrong, but if it's right pls mark brainliest.

WILL GIVE BRAINLST FOR WHOEVER ANSWERS FIRST Which of the following equations is equivalent to 6(3p – 2) = 20?
Group of answer choices


9p – 4 = 20


9p – 8 = 20


18p – 12 = 20


18p – 2 = 20

Answers

It would be the 3rd option, because you multiply 6 and 3 and get 18, and then multiply 6 and 2 and get 12 so it would be 18p-12=20

10 POINTS PLEASE HELP Kamiyama's Kitchen charges $30 per meal and a
membership fee of $150, while Tarlton's Tavern
charges $20 per meal and a membership fee of $300
How many meals will it take for both deals to cost the
same amount of money?

Answers

Answer:

Step-by-step explanation:

I think you should create a table (x,y) and make an equation and that could be a way to figure it out

Question 16 (1 point)
(02.06)
Simplify (3 + 2i )(7 - 5i). (1 point)
1) 21 - 10i²
2) 11-i
3) 21 - i - 10i²
4) 31-i

Answers

1

Answer:

Question example:

Answer:

31-i

Step-by-step explanation:

I just took the test and I got it right.

What is the slope of the line?
I NEED HELPP?!

Answers

Answer:

Slope of a line = rise/run

Your answer:

m = 8/5

i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.

Answers

Answer:

Hello

Step-by-step explanation:

by what i understood the awnser should be c

Read the power and then check all that apply. 34 = 3 × 3 × 3 × 3 A power is a shorter way to write repeated multiplication. The base is 3. The base is 4. The exponent is 3. The exponent is 4. The exponent tells you to multiply the 3 together 4 times. The exponent tells you to multiply the 4 together 3 times.

Answers

Answer:

the right one's are  

1,2,5,6

Step-by-step explanation : I hope this helps everyone

Answer:

The Answers our:

Step-by-step explanation:

A: A power is a shorter way to write repeated multiplication.

B: The base is 3

E: The Exponent is 4

F: The exponent tells you to multiply the 3 together 4 times.

hii i need help with a geometry problem. the picture is attached. i'll mark you brainliest!!

Answers

Answer:

i would wanna say the first one

Step-by-step explanation:

∆GAS ≅IOL by rule ASA , SAA

We say that ∆GAS ≅ ∆IOL because m∠G = mI , mA = m∠L and AS = LO ( which means that these triangles are congruent under the ASA or SAA congruence postulate . )

Therefore ,

∆GAS ≅ ∆ILO by rule ASA , SAA

please help look at screenshots

Answers

Answer:

2nd one is hardest someone help him lol

need help with solving equations

Answers

Answer:

1) -2

2) 6

3) -9

Step-by-step explanation:

1)2/5(x+7)=2(x+3)

2/5x+2.8=2x+6

2/5x=2x+3.2

-1.6x=3.2

x=-2

2)2x+6=2/3x+14

2x=2/3x+8

1 1/3x=8

x=6

3)40+2x=6-8x-56

40+2x=-8x-50

90+2x=-8x

90=-10x

x=-9

each movie rental costs $4.00 but he has a coupon for $1.00 off his total bill. if his total is $15 how many movies did he rent

Answers

Answer:

He rented 4 movies

Step-by-step explanation:

Each movie costs $4 and if he rents 4 it'll be 4x4= $16, you then subtract the $1.00 coupon and get the total of $15

4 cause if you see how many times 4 goes into 15 you get 16 but he has a coupon off one dollar his whole purchase so take 16 then subtract 1

PLEASE HELP ME ASAP! I WILL DO AND GET YOU ANYTHING YOU WANT! PLEASE! THANKS!

Answers

Answer:

18 square units how to solve this is there are four square units and four sides that’s 16 plus the top one and bottom one. That makes 18

Step-by-step explanation:

Other Questions
A line segment is defined by which of the following statements? Is there a way to rewrite this? It asked me to create an equation, and I did: 180([tex]x^{2}[/tex]). I checked it and it said it was wrong, however, I used the same equation to get the answer for the second question and it was correct. I thought that maybe there was another way to write the equation, so I used the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and had no luck. Is there a way to write it that I don't know about? what dose the least common multiple of 4 and 6 mean in this situation (LCM) FIRST ANSWER GETS CROWNED BRAINLIEST!!! 30 points!!! The slope of a line is 3/4. If x increases by 20, what is the corresponding change in y? Please explain the answer. In what city did most immigrants arrive in?a. Bostonb. LAC. New Yorkd. Pittsburgh Flesh is correct took the test made 100% on it The entire length of the Appalachian Trail is 2,160 miles. How long would it take you to hike the full length of the trail? 24. What is the approximate latitude and longitude of the sunken ship?A) 20.5N 70 E B) 20.5N 700 W C) 20.5 S 70 ED) 20.5 S 70 One day the temperature was 72F. That night, the temperature was 44F. What number represents the change in temperature?A. 22FB. 32FC. -38F. -28F a=9b=12What is the length of c? The Strange Case of Dr. Jekyll and Mr. Hydeby Robert Louis StevensonPart 1Mr. Utterson the lawyer was a man of a rugged countenance, that was never lighted by a smile; cold, scanty and embarrassed in discourse; backward in sentiment; lean, long, dusty, dreary, and yet somehow lovable. At friendly meetings, and when the wine was to his taste, something eminently human beaconed from his eye; something indeed which never found its way into his talk, but which spoke not only in these silent symbols of the after-dinner face, but more often and loudly in the acts of his life. He was austere with himself; drank gin when he was alone, to mortify a taste for vintages; and though he enjoyed the theatre, had not crossed the doors of one for twenty years. But he had an approved tolerance for others; sometimes wondering, almost with envy, at the high pressure of spirits involved in their misdeeds; and in any extremity inclined to help rather than to reprove."I incline to, Cain's heresy*," he used to say. "I let my brother go to the devil in his quaintly 'own way.'" In this character, it was frequently his fortune to be the last reputable acquaintance and the last good influence in the lives of down-going men. And to such as these, so long as they came about his chambers, he never marked a shade of change in his demeanour.No doubt the feat was easy to Mr. Utterson; for he was undemonstrative at the best, and even his friendship seemed to be founded in a similar catholicity of good-nature. It is the mark of a modest man to accept his friendly circle ready-made from the hands of opportunity; and that was the lawyer's way. His friends were those of his own blood or those whom he had known the longest; his affections, like ivy, were the growth of time, they implied no aptness in the object. Hence, no doubt, the bond that united him to Mr. Richard Enfield, his distant kinsman, the well-known man about town. It was a nut to crack for many, what these two could see in each other, or what subject they could find in common. It was reported by those who encountered them in their Sunday walks, that they said nothing, looked singularly dull, and would hail with obvious relief the appearance of a friend. For all that, the two men put the greatest store by these excursions, counted them the chief jewel of each week, and not only set aside occasions of pleasure, but even resisted the calls of business, that they might enjoy them uninterrupted.*The biblical story of Cain and Abel is a story about two brothers who gave offerings to God. Abels offering was accepted by God, but Cains was not. Jealous, Cain killed his brother. When God asked Cain where Abel was, Cain said, "Am I my brothers keeper?" By saying this, Cain implied that what his brother did was his own business. (Genesis 4:1-16)Which line from the text shows that Mr. Utterson was often kind to those who needed it the most?A "backward in sentiment"B "austere with himself"C "undemonstrative at the best"D "approved tolerance for others" Please help me I need the answer Hernando de Soto traveled across Texas and other parts of America toA. Take land from FranceB. Settle new territoriesC. Find GOLD for SpainD. Convert native people to Islam How do you convert an equation into slope intercept form? do you solve for x or solve for y Both natural processes and human activity are causing some of Earth's permanent bodies of ice to melt. If enough of this ice melts, it will add warm freshwater to the northern Atlantic Ocean, where deep water currents start. What effect is this likely to have on the circulation of ocean water around the globe? I WILL GIVE BRAINLIEST IF ANSWERD CORRECTLY Which choice does NOT belong? Group of answer choicesNo president or leaderOne house legislatureU.S. ConstitutionNo court systemOne vote in legislature per stateNo centralized money system What determines the value of fiat currency?O A. gold.silverOC.nation's creditoD.bank's credit Select the correct answer.Which fracture allows the bone to stay in alignment and continue to move?A. Closed fractureB. Displaced fractureC. Non-displaced fractureD. None of the above PLS HELP What is the most helpful element in the periodic table of elements, and what, in your opinion, is the best element? Name a pair of acute vertical angles Do you think the media in South Africa is able to freely provide information without government censorship?