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

Bobby Joe and Billy ray went fishing at the local watering hole and caught a total of 51 fish. Billy Rat caught 17 fewer fish than Bobby Joe. Write an expression you can use to find out how many fish, f, each boy caught. How many fish did each boy catch? Bobby Joe caught ___ fish Billy Ray caught___ fish

Answers

Answer:

Bobby Joe caught 34 fishes

Billy Ray caught 17 fishes

Step-by-step explanation:

Let the number of fish Bobby Joe caught = y

Let the number of Billy Ray caught = x

Total number of fish caught = 51 fishes

x + y = 51......... Equation 1

Billy Ray caught 17 fewer fish than Bobby Joe.

y = x - 17

Write an expression you can use to find out how many fish, f, each boy caught.

Substitute x - 17 for y in Equation 1

x + y = 51......... Equation 1

x + (x - 17) = 51

x + x - 17 = 51

2x = 51 - 17

2x = 34

x = 34/2

x = 17

Hence, Bobby Joe caught 17 fishes

x + y = 51

17 + y = 51

y = 51 - 17

y = 34

Hence, Billy ray caught 34 fishes

Solve:
-2(x – 4) = -8
x = 8
X = -8
X = 16
X = -16
Help please

Answers

Answer:

x = 8

Is that what you wanted?

Tony is selling boxes of cookies. He charges $7 for the box plus $2 per cookie.One filled box sells for $35 how many cookies will fit in the box

Answers

Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

Lets work on an old skill you ve already learned!
Determine the following for the set of data
13, 18, 13, 14, 13, 16, 14, 21, 13
Mean
Median
Mode
Range

Answers

Answer:

mean:15

median:14

mode:13

range: 8

Solve for p, I don't know what else to add but yeah
solve for p?
Also explain

Answers

Answer:7

Step-by-step explanation:

6p-4+7p+3=90

13p-1=90

13p=91

p=7

What is 3/5 as a percent?

Answers

Answer:

3/5 as a percent is 60% hope that helps

For three consecutive plays, the Patriots gained
12 yards per play. On the next play, they lost 5
yards. What is the change in field position for
these four plays?

Answers

Answer:

The overall change in field position is 7yds, 0 - 5 + 12 = 7, if that isn't a "sum of integers" I apologize.

Step-by-step explanation:

Find the slope of the line through each pair of
points.
(-2,-19), (-20, 11)

Answers

Answer:

[tex]m=\frac{11+19}{-20+2} \\m=\frac{30}{-18} \\m=\frac{-5}{3}[/tex]

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Complete:  y2 - y1 over x2 - x1 with your given points.

11 - (-19)  =        30

______      ______  

-20 - (-2)  =     -18  

⁻³⁰⁄₁₈ =  ¹⁵⁄₃ = ⁵⁄₁        Simplify to lowest fraction            

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!

John took 8 hours to drive 385 miles. He believes that at this same rate he will need at least 17 hours to drive 1000 miles which is the best estimate of the total amount of time he will need to drive 1000 miles

A- 17

B- 19

C-21

D-15

Answers

Answer:

Step-by-step explanation:

Step one:

give data

time= 8hours

distance=385mile

speed=?

Step two:

let us solve for the speed

Speed= distance/time

Speed=385/8

speed=48.125miles per hour

Step three:

let's find the time taken to cover 1000mile at the speed of 48.125 mi per hour

speed=distance/time

time=distance/speed

time=1000/48.125

time=20.779hours

approximately 21 hours

what is x in x/5 = -3

Answers

Answer:

-15

Step-by-step explanation:

x/5 = -3

multiple both sides of equation by 5:

x = -3(5)

x = -15

Answer:

-15

Step-by-step explanation:

Hope this is the right answer

combine like terms to simplify the expression

Answers

1/2 K - 3/5 is the answer. You’re welcome and Brainliest would be appreciated :)

Answer:

[tex]\frac{1}{2} k-\frac{3}{5}[/tex]

Step-by-step explanation:

Step 1: Define expression

[tex]\frac{2}{5} k-\frac{3}{5} +\frac{1}{10} k[/tex]

Step 2: Change denominators to like terms

[tex]\frac{4}{10} k-\frac{3}{5} +\frac{1}{10} k[/tex]

Step 3: Combine like terms

[tex]\frac{5}{10} k-\frac{3}{5}[/tex]

Step 4: Simplify

[tex]\frac{1}{2} k-\frac{3}{5}[/tex]

plz help ill give brainliest In the kite , AK=15 , JK=39 , and AM=77 .

What is JM ?

Answers

Answer:

125 i think....

Step-by-step explanation:

The mean temperature for the first 4 days in January was -12°C.
The mean temperature for the first 5 days in January was -13°C.
What was the temperature on the 5th day?

Answers

Answer:

-17

Step-by-step explanation:

Given

The mean temperature for the first 4 days = -12°CThe mean temperature for the first 5 days = -13°C

To find

The temperature on the 5th day

Solution

Total of 4 days = 4*(-12) = -48°CTotal of 5 days = 5*(-13) = -65°C

The difference is the temperature on the 5th day:

-65 - (-48) = -17°C

Answer:

-17

Step-by-step explanation:

Given

The mean temperature for the first 4 days = -12°C

The mean temperature for the first 5 days = -13°C

To find

The temperature on the 5th day

Solution

Total of 4 days = 4*(-12) = -48°C

Total of 5 days = 5*(-13) = -65°C

The difference is the temperature on the 5th day:

-65 - (-48) = -17°C

Please answer this question

Answers

Answer:

she is running at a constant speed

Step-by-step explanation:

the bar is still because she isnt going faster or slowing down she is constant

Answer:

D: She is at a constant speed.

Step-by-step explanation:

she is not acceleraring or decelerating, so her speed is constant

ILL MARK BRAINLIST IF YOU SHOW YOUR WORK and get it right ....... Simplify 42/70

Answers

Find the GCF(Greatest Common Factor) of 42 and 70: 14

Divide numerator and denominator by the GCF.

42 ÷ 14 = 3

70 ÷ 14 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Think of the GCF of 42 and 70

which is 14 divide by 14 which you will get 3/5

(Alternate method)

If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc

until you get to a answer that can't be divided anymore

Hope this helps!

Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.

1. Which trail do you think would be more difficult to hike up?

2. Explain your answer to question

Answers

1. A would be more difficult to hike up.

2. Because it has more miles than B does and the elevation is lowers

According to.the order of operation, which of the following operations should be completed first in the following expression 2(5-3)^3+6^2

Answers

Answer:

Step-by-step explanation:

PEDMAS

P - Parenthesis

E - Exponents

D - Division

M - Multiplication

A - Addition

So, 2(5-3)^3+6^2  

5 - 3 should be completed first as it is inside parenthesis

2(5-3)^3+6^2 = 2 *2^3 + 6^2

                     = 2 * 8 + 36            {exponents}

                     = 16 + 36              {Multiplication}

                    = 52

At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?

Answers

Answer:

y= 11+t.05. t= hours of snow

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

y= 11 + 5 (.05)

y= 11 + 2.5

y= 13.5

A student solved the equation below using the steps shown, rounding to two decimal places if necessary.

which step contains the first mistake ?

A. step 2

B. step 1

C. step 3

D. step 4

Answers

Answer:

Step 1

Step-by-step explanation:

A hybrid car uses 1 gallon of gasoline to drive 54 miles. How many gallons of gasoline would be used to travel 162 miles?

Answers

Answer:

3 gallons

Step-by-step explanation:

if 1 gallon is consumed for 54 miles

what about 164 miles ..

so you take 1 * 162

..........

54

PLEASE HELP ASAP

Salina’s age is one-quarter the age of her aunt. If a represents her aunt’s age, which expression represents Salina’s age?
4a
a minus 4
a + 4
StartFraction a Over 4 EndFraction

Answers

Answer:

a over 4

Step-by-step explanation:

hope this helps you

Answer:

Last answer I think, it was hard to understand the explained choices but I think it's a/4.

given the function f(x)=(x-2)(x+3)(2x+3), which set includes all of the zeros for the polynomial?

Answers

Answer:

{2, -3, -3/2}

Step-by-step explanation:

hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.

x-2=0

x=2

x+3=0

x=-3

2x+3=0

2x=-3

x=-3/2

The set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

What is a polynomial?

They are mathematical expressions involving variables raised with nonnegative integers and coefficients(constants that are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and nonnegative exponentiation of variables involved.

We have been given the function f(x)=(x-2)(x+3)(2x+3)

Each of the binomials is equal to 0 to determine the zeros of this polynomial.

1. x-2=0

x=2

2. x+3=0

x=-3

3. 2x+3=0

2x=-3

x=-3/2

Hence, the set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

Learn more about polynomials here:

https://brainly.com/question/27343162

#SPJ2

Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.



55 is what percent of 100?

Answers

Answer:

55%

Step-by-step explanation:

100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.

55/100 = 55%

Answer: 55%

Step-by-step explanation:

what’s the quotient of -21/-3?

Answers

Answer:

7

Step-by-step explanation:

When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.

ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?

Answers

Answer:hope it helps,

Step-by-step explanation:

Which expressions are equivalent to (4n − 4) −( n + 8) ?

Answers

Answer:

3 (n - 4)

Step-by-step explanation:

Help me I need it giving brainiest

Answers

Answer:

120

Step-by-step explanation:

there are three sides, they have to equal 360 degrees so 360/3 = 120, you got it right.

. Keisha and her mom are at the grocery store. Keisha's mom allows her to buy a 2 pound bag of candy. Keisha can choose gummy worms, which are .40 cents per pound, or she can choose sour patches, which are .60 cents per pound. How much of each candy can Keisha buy?

Answers

Answer:

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

Step-by-step explanation:

Keisha is allowed to buy only 2 pounds bag of candy.

Now, she can choose either gummy worms or sour patches.

Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.

Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents

Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

pls help again (picture below)

Answers

Answer:

C 10 to the power of 7 equals 10,000,000 and x 3.45 = 3450000000

Step-by-step explanation:

Other Questions
Why did King Tuts mummy have to be cut up to remove it from the coffin? Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents? The photo below is the reduced form of a 16-by-20-inch print. What is the scale factor being used to reduce te4 in5 in The two statements belowchar dance1[ ] = {'F','o','x','t','r','o','t'};String dance2 = new String(dance1);will generate an error message: a. because char variables and String variable do not mix.b. will generate an error message because char variables and String variable do not mix.c. show that a String variable, like dance2, is an array.d. demonstrate that a character array can be used to construct a String object.e. prove that character variables and String variables are identical. the half life of I -137 is 8.07 days. if 24 grams are left after 40.35 days, how many grams were in the original sample? Which of the following would not be a considered a legitimate excuse for failing to fulfill the civic duty of jury duty? A.severe illness of a parentB.employer discontentC.personal illnessD.schooling out of state The article says that paleontology was a young science in the United States in the mid-1800s. How knowledgeable about the field were paleontologists of the time? A They were more informed than those in other nations. B They were the greatest experts of the field at the time. C They were not very knowledgeable about their field. They were just as knowledgeable as any other scientists. D Which term is used for sharing thoughts, feelings, and experiences? When the numbers used to estimate are less than the actual numbers provided, the product will be?. Single choice.(1 Point)equivalentunderestimatepoweroverestimate If there is a tie in the Senate, the Vice President will cast the tie breaking vote True/False Help Mr. North can read 3/4 of a novel and 1/5 of a week. How much of the novel can Mr. North read in one entire week? D5. Mariam driving at a speed of 20.0 m/s appliesbrakes close to a signal and travels a distance of200 m before coming to rest. What was heracceleration?A. -0.50 m/s2B. -0.70 m/s2C. -1.00 m/s2D. -2.00 m/s26. A trollen at rest is nushed to accelerate at a PLS TELL ME WHICH ONE IS TRUE PLS DONT LIE What would be the answer to this honest answers only its important SER carries out all of the following activities, EXCEPT:a. lipid productionb. detoxificationc.connects RER to GAd. produces RNA At noon the temperature was 0C. If the temperature then rose 3C per hour, what wasthe temperature after 7 hours? Why was the Great Sphinx built?to protect the pyramidsto serve as a center of worshipto serve as a tribute to the godsto create a boundary between nations According to the video, which food safety regulations have been created by the passage of the Food Safety Modernization Act? Check all that apply BRAILIEST, 5 STARS, A THANKS, AND 35 POINTS!!!Noahs scores for four Spanish quizzes are 70, 75, 83, and 80. What score must he get on the next quiz to achieve an average of at least 80? When used appropriately, prescription drugs can? a) help treat symptoms and illnesses b) Cause side effects and withdrawal symptoms c) Have no results worth mentioning d) All of the aboveWhats the answer?