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

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

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

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.

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

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

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!

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

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:

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.

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


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:

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

Answers

Answer:

x² + x + 1

Step-by-step explanation:

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

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

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]

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

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]

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

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

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

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.

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.

HELP please ASAP Hw for math class

Answers

2b-15c/5
I’m pretty sure

please help look at screenshots

Answers

Answer:

2nd one is hardest someone help him lol

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.

What’s 4 divided by 9.1

Answers

Answer:

40/91

Step-by-step explanation:

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

Answers

Answer:

Slope of a line = rise/run

Your answer:

m = 8/5

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:

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

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