A certain brand of coffee comes in two sizes. An 11.3 -ounce package costs $2.88 . A 27.8 -ounce package costs $6.48 . Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer 1
Final answer:

To calculate the unit price for each coffee package, you divide the total cost by the number of ounces. The 11.3-ounce package has a unit price of about $0.255 per ounce, and the 27.8-ounce package has a unit price of about $0.233 per ounce. The 27.8-ounce package is the better buy with a lower unit price.

Explanation:

To find the unit price for each size of coffee package, you divide the cost by the number of ounces.

For the 11.3-ounce package:

Unit price = Total price / Number of ouncesUnit price = $2.88 / 11.3 ouncesUnit price ≈ $0.255 cents per ounce (rounded to the nearest cent)

For the 27.8-ounce package:

Unit price = Total price / Number of ouncesUnit price = $6.48 / 27.8 ouncesUnit price ≈ $0.233 cents per ounce (rounded to the nearest cent)

Comparing the unit prices, the 27.8-ounce package is the better buy based on the lower unit price.

Answer 2
Final answer:

To find the unit price, divide the cost by the number of ounces. The 27.8-ounce package is the better buy based on a lower unit price.

Explanation:

To find the unit price for each size of the coffee, we divide the cost by the number of ounces. The unit price of the 11.3-ounce package is $2.88 divided by 11.3, which is approximately $0.255.

The unit price of the 27.8-ounce package is $6.48 divided by 27.8, which is approximately $0.233.

Based on the unit price, the 27.8-ounce package is the better buy as it has a lower unit price than the 11.3-ounce package.


Related Questions

find the missing coefficients


y=ax^2-10x+c
vertex :(-5,20)

Answers

remember, for [tex]y=ax^2+bx+c[/tex] the x value of the vertex is [tex]\frac{-b}{2a}[/tex]

so
given
x value of vertex is -5
and
[tex]y=ax^2-10x+c[/tex]
[tex]\frac{-b}{2a}=\frac{-(-10)}{2a}=\frac{10}{2a}=[/tex]
[tex]\frac{5}{a}=-5[/tex]
multiply both sides by a
5=-5a
divvide both sides by -5
-1=a
a=-1


[tex]y=-1x^2-10x+c[/tex]
comlete the square
remember if we do
[tex]y=a(x-h)^2+k[/tex] (h,k) is the vertex
I know, we can subsitute the known values of te vertex
-5 for h and 20 for k then expand

[tex]y=-1(x-(-5))^2+20[/tex]
[tex]y=-1(x+5)^2+20[/tex]
[tex]y=-1(x^2+10x+25)+20[/tex]
[tex]y=-1x^2-10x-25+20[/tex]
[tex]y=-1x^2-10x-5[/tex]

a=-1
c=-5

When dividing 592 by 9.25, how many zeros will be placed in the dividend?

Answers

No doubt, the expeced answer is 2. This is because you would ordinarily change the problem to 59200/925 for long division by hand.

For this quotient, you don't need any, because the quotient is 64, a multiple of 4, so the numbers being subtracted are always integers.

_____

If you were dividing 591 by 9.25, you would need an infinite number of zeros—because the decimal portion of the quotient is a repeating decimal with a period of 3 digits.

Answer:

it is b 100 on quiz

Step-by-step explanation:

A new extended-life light bulb has an average service life of 750 hours, with a standard deviation of 50 hours. if the service life of these light bulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours? 95% 68% 34% 99.7%

Answers

Approximately 99.7% of the light bulbs are expected to last between 600 and 900 hours, according to the empirical rule of normal distributions, as these values fall within +/- 3 standard deviations from the mean.

To determine what percent of the distribution of light bulbs will have a service life between 600 and 900 hours, we employ the empirical rule for normal distributions. If we know the mean (750 hours) and standard deviation (50 hours), we can calculate the number of standard deviations each of these values are from the mean:

(600 - 750) / 50 = -3 standard deviations (SD)

(900 - 750) / 50 = 3 standard deviations (SD)

According to the empirical rule (68-95-99.7 rule), approximately:

68% of the data falls within "+/- 1 SD"

95% of the data falls within "+/- 2 SD"

99.7% of the data falls within "+/- 3 SD"

Since 600 hours and 900 hours are three standard deviations away from the mean on either side, the percentage of light bulbs expected to last between these two values would be approximately 99.7%.

A square acre of land is 4840 square yards. Between which two integers is the length of one side? Pls show the steps or work.

Answers

The land is square and has an area of 4840 square yards.  Thus, the length of one side of the piece of land is sqrt(4840), or 69.57 yards.  

69.57 is between 69 yards and 70 yards.

Ed Callahan Is an executive at a local bank his annual salary is $75,530 if he receive a paycheck every two weeks what is his biweekly salary

Answers

His annual salary is $75,530. If Ed receives a paycheck every two weeks, what is his biweekly salary? Brittany Monroe is a legal secretary. Her biweekly salary is$1,650.00

His annual salary is $75,530. If Ed receives a paycheck every two weeks, his biweekly salary is $2905.

You will be paid every 2 weeks so is beginning on Sunday and ending on the second Saturday of the pay period. So you will be paid every two weeks, giving you a total 26 .

First you divide 75530 by 26 since its biweekly and that is how you get your answer.

Is (1,5) a solution to the equation y=x-2

Answers

In (1,5), x=1 and y=5. when you plug it into 5=1-2, it is not true. Therefore, it can not be a solution.

Find the values of x on the curve y = cos x 2 + sin x at which the tangent is horizontal. (let n be an integer. enter your answers as a comma-separated list.)

Answers

Final answer:

To find the values of x on the given curve at which the tangent is horizontal, we need to find the points where the derivative of y with respect to x is equal to 0.

Explanation:

To find the values of x on the curve y = cos x^2 + sin x at which the tangent is horizontal, we need to find the points where the derivative of y with respect to x is equal to 0. The derivative of y is -2x sin x + cos x.

Setting the derivative equal to 0, we have -2x sin x + cos x = 0. Solving this equation will give us the values of x at which the tangent is horizontal.

Unfortunately, it is not possible to find exact solutions to this equation analytically. We can, however, solve it numerically using methods such as Newton's method or the bisection method.

what are the domain and range of the exponential function below f(x)=4^x+3

Answers

try using desmos.com 
domain is all real numbers
range is all real numbers greater than 3

Answer:

Step-by-step explanation: Domain are the set of x -values. Here x values from negative to positive.

Range is the set of y values. The graph clearly shows that the values never dip below 3.

Hence the answer is ;

Domain : All x values

Range: never dips below 3.

if h(x)=(fog)(x) and h(x) = x+5, find g(x) if f(x) = x+2

Answers

[tex]\bf \begin{cases} f(x)=x+2\\ h(x)=x+5\\ h(x)=(f\circ g)(x) \end{cases}\quad (f\circ g)(x)\implies \stackrel{h(x)}{f(~g(x)~)} \\\\\\ \stackrel{h(x)}{f(~~g(x)~~)}=g(x)+2=\stackrel{h(x)}{x+5}\implies g(x)+2=x+5 \\\\\\ g(x)=x+5-2\implies \boxed{g(x)=x+3}[/tex]

Saeed bought 21 1/2 lb. of ground beef. he used 1/4 of the beef to make tacos and the remaining 2/3 of the remainder to make quarter pound burgers. how many burgers did he make?

Answers

Final answer:

Saeed made 42 2/3 burgers.

Explanation:

To solve this problem, we need to find out how much ground beef Saeed used to make tacos and how much he used to make quarter-pound burgers. Let's break it down step-by-step:

1. Saeed bought 21 1/2 lb of ground beef.

2. He used 1/4 of the beef to make tacos. So, 1/4 of 21 1/2 lb is (1/4) * 21 1/2 lb = 5 3/8 lb.

3. The remaining beef is 21 1/2 lb - 5 3/8 lb = 16 1/8 lb.

4. Saeed used 2/3 of the remaining beef to make quarter-pound burgers. So, 2/3 of 16 1/8 lb is (2/3) * 16 1/8 lb = 32/3 lb = 10 2/3 lb.

5. To find the number of quarter-pound burgers, we divide the weight of the beef used for burgers by the weight of each burger. Since each burger weighs 1/4 lb, we divide 10 2/3 lb by 1/4 lb to get:

10 2/3 lb ÷ 1/4 lb = 10 2/3 lb * 4 lb/1 = 42 2/3 burgers.

Therefore, Saeed made 42 2/3 burgers.

Final answer:

Saeed used 1/4 of the ground beef for tacos and the remaining 2/3 for quarter pound burgers. After calculating, we determined that he was able to make 43 quarter pound burgers.

Explanation:

To solve Saeed's ground beef problem, we need to perform sequenced calculations to determine how much beef was used for tacos, and how many quarter pound burgers were made with the remaining beef.

First, Saeed used 1/4 of the 21 1/2 lb of beef for tacos. To find out how much that is, multiply 21.5 lb by 1/4:

21.5 lb × 1/4 = 5.375 lb for tacos

Next, we subtract this amount from the original to find the remainder:

21.5 lb - 5.375 lb = 16.125 lb remaining

Now, Saeed uses 2/3 of the remaining beef for burgers. So, we calculate:

16.125 lb × 2/3 = 10.75 lb for burgers

Since each burger is a quarter pound, we divide the weight used for burgers by 1/4 to find out how many burgers he made:

10.75 lb ÷ 1/4 lb per burger = 43 burgers

Therefore, Saeed made 43 quarter pound burgers.

A container holds 7 quarts of water. How much is this in gallons? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

The answer would be 1 3/4 because a gallon is 4 quarts.

a diver is swimming 11 meters below the surface. The diver sees a shark 19 meters below him. how many meters from the surface is the shark?

Answers

The shark is 30 meters below surface. 
plz give me brainliest answer
u just need to add the two values together
11+29=30 meters

beth has a total of $6000 to invest, part at 6% simple interest and part at 8% simple interest. Her return for one year is $410. How much did she invest at each rate?

Answers

Since interest=investment*interest rate*time in years for simple interest, we know that there are 2 separate investments. If the amount invested at 6% simple interest is x dollars and the amount invested at 8% is y dollars, then we know that x+y=6000 since she spent all 6000 dollars on only 2 separate investments. Subtracting y from both sides, we get that 6000-y=x. In addition, we know that her interest for the 6% interest rate is x*0.06*1 as well as y*0.08*1 for the 8% simple interest. Since the total interest is 410$, we know that x*0.06*1+y*0.08*1=410. Since y=6000-x, we plug that in to get x*0.06+(6000-x)*0.08=410. Using the distributive property to expand, we get x*0.06+480-0.08x=410=-0.02*x+480. Subtracting 480 from both sides, we get -0.02*x=-70. After that, we can multiply both sides by -50 (since -0.02 times -50 is 1) to get x=3500=amount invested at 6%. Since the amount invested at 8% is 6000-x, that equals 6000-3500=2500

Sierra has a total of 61 dimes and quarters in her piggybank. She has 3 more quarters than dimes. The coins have a total value $10.90. How many dimes and how many quarters does she have? [hint: use the decimal values of the c coins to write an equation.]

Answers

Since you have two unknowns, you must formulate 2 equations in order to solve the system. Let x be the numbers of dimes and y be the number of quarters. The equations are:

x + y = 61
y = x + 3

Since a dime is 1/10 of a dollar and a quarter is 1/4 of a dollar,
(1/10)x + (1/4)y = 10.90

We made 3 equations. The system is overspecified. Let's just use the first two equations and apply it to the third for verification.

x + (x + 3) = 61
Solving for x,
x = 29
y = 29 + 3 = 32

Verifying,
(1/10)(29) + (1/4)(32) = 10.90

Hence, there are 29 dimes and 32 quarters.

Need help with math problem
The temperature of a lake drops by the same amount each day for 10 days. The temperature drops by a total of 5 degrees.

Drag the numbers to form the equation that represents the change in the lake's temperature each day.

( ? ) ( ? ) = ( ? )

5, -5, 10, -10, 1/2, -1/2, 1/10, -1/10
Thanks

HINT: THE ANSWER IS NOT (10), (-1/2)= (-5)

Answers

10 (1/2) = 5

hope this helps
The temperature drops by 1/2 of a degree each day. It would be 5/10=1/2

the sum of two numbers is 101. if there times the smaller number is subtracted from the larger number the result is 9. find the two numbers

Answers

x+y=101
y-3x=9

Solve the second equationf or y
y=3x+9

Substitute for y
x+3x+9=101
4x+9=101
4x=92
x=23

Fill in the x value
23+y=101
y=78

Final answer: 23, 78

What is the factorization of 49b2 − 81

Answers

Hello!

First, let's write the problem.
[tex]49b^2-81[/tex]
To solve this, it implies finding the square root of 49 and 81.
[tex]7*7=49[/tex]
[tex]9*9=81[/tex]
So, we then write it like this.
[tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
Let's plug in the values.
[tex]=\left(7b+9\right)\left(7b-9\right)[/tex]
That would be our answer.

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

on the quiz, i got

B. (7b – 9)(7b +9)

I just finished the edge quiz for my algebra class.

I got a 100, so this is the correct answer.

Write words to match the expression 36÷4

Answers

Divide 36 by 4.

OR

Molly has 36 potatoes and 3 other friends. How many potatoes can she divide equally between them and her?
There are 36 people at a party and Jack gives each person equally 4 pieces of cake.


Also 36 ÷4 =9

when 15 minus 3 is multiplied by a number the product is 2.

Answers

Final answer:

Based on the provided information, you can find the value of the unknown by performing the operation (15-3), which is 12, and then dividing the product by this number. The result is 1/6, which is the number that fulfills the conditions stated in the problem.

Explanation:

The subject of this problem is middle school math, specifically dealing with equations and unknowns. The problem states that 'when 15 minus 3 is multiplied by a number the product is 2'. To solve this, we use basic algebraic manipulation.

First, perform the operation 15 minus 3, which equals 12. Then, we state the problem algebraically: 12 times a certain number (let's call it 'x') equals 2. Stated as an equation, it would be 12x = 2.

To find the value of 'x', we need to isolate 'x' on one side of the equation, so we divide both sides of the equation by 12. This leaves us with x = 2/12. Simplifying the fraction gives x = 1/6.

In conclusion, the number that when multiplied by 12 (resulting from 15 minus 3), gives us a product of 2 is 1/6.

Learn more about Solving Equations here:

https://brainly.com/question/29050831

#SPJ2

When a polygon reflects across the y axis ,how do the coordinates of the points change

Answers

The y coordinate will stay the same. The x coordinate will flip from positive to negative, or vice versa.

Some examples:
(1,2) ----> (-1,2)
(-3,4) ----> (3,4)
(-1.2, 8) ----> (1.2, 8)

The general rule is 
(x,y) ----> (-x, y)
indicating that only the x coordinate undergoes a change

Can somebody solve please?

Answers

X=9 is the answer to the question.
The answer is x=9. If you have to do inverse property on 4. Rhem combine like terms 7x and -4x. You'll get 3x=27, after that you divide 3 to both sides. As your answer x=9

If you stand on a ship in a calm sea, then your height x (in feet) above sea level is related to the farthest distance y (in miles) that you can see by the equation: y=sqrt (1.5x+(x/5280)^2) how high up do you have to be to be able to see 10mi?

Answers

We are given the relation between the height (in feet) and the distance (in miles) as follows:
y = sqrt(1.5x + (x/5280)^2).

We want to know the height (x) that makes the distance (y) = 10 miles

So, we will simply substitute in the above equation with y = 10 and calculate x as follows:
10 = sqrt(1.5x + (x/5280)^2)
we will square both sides to get rid of the root:
100 = 1.5x + (x/5280)^2
1.5x + (x/5280)^2 - 100 = 0 
(x-66.11475)(x+7986.1147) = zero
either x = 66.11475 feet (accepted solution)
or x = -7986.1147 feet (rejected solution as no height is in negative)

Final answer:

To see 10 miles into the distance, one must be approximately 593.4 feet above sea level. This is calculated by substituting y = 10 into the given formula and solving for x.

Explanation:

The student's question involves finding how high above sea level they must be to see a distance of 10 miles. We begin with the equation given:

y = sqrt(1.5x + (x/5280)^2)

We need to solve this equation for x when y is 10 miles. First, we substitute 10 for y and square both sides of the equation to eliminate the square root:

10^2 = 1.5x + (x/5280)^2100 = 1.5x + x^2/(5280^2)

Multiply through by 5280^2 to simplify:

100(5280^2) = 1.5x(5280^2) + x^2100(5280^2) = 7920x^2 + x^2100(5280^2) = 7921x^2

Now, we solve for x:

x^2 = 100(5280^2) / 7921x = sqrt(100(5280^2) / 7921)x ≈ sqrt(2787840000 / 7921)x ≈ sqrt(352000)x ≈ 593.4 feet

Therefore, a person needs to be approximately 593.4 feet above sea level to see 10 miles into the distance.

The expression 4.95+0.07x models A household monthly long distance charges where x represents the number of minutes of long-distance calls during the month what are the monthly charges for each number of long distance minutes

Answers

4.95 + 0.07x

The monthly charge is $ 4.95 ...and then there is the 7 cents per minute

The expression provided models the monthly long distance telephone charges, with a fixed fee of $4.95 plus $0.07 per minute of call time. To determine the monthly charge, multiply the number of minutes by $0.07 and add the result to the base charge of $4.95.

The given expression 4.95 + 0.07x represents a model for calculating a household's monthly long distance telephone charges, where x is the number of minutes of long-distance calls. To find the monthly charges for any number of minutes (x), we simply plug in the value of x and calculate the total cost.

If a household uses 0 minutes, the cost would be $4.95 (since 4.95 + 0.07(0) = 4.95).For 100 minutes of use, the cost would be $4.95 + (0.07 x 100) = $4.95 + $7.00 = $11.95.

The formula incorporates a fixed fee of $4.95, which we can see as the base charge regardless of usage, plus a variable component that depends on the number of minutes used (0.07 times the number of minutes).

what does 3.35 equal to

Answers

The answer is 45.2 by my calculations!!! I hope that helps
3.35 as a fraction is 67/20 but as a mixed number, it's 3 7/20.

Hope this helps. 
Have a blessed day.


Please help quickly first to answer gets bainliest
Which expression uses the greatest common factor and the distributive property to rewrite the sum 32 + 80?
A.16(2) + 80
B. 2(16 + 80)
C.16(2 + 5)
D.8(4 + 10)

Answers

C. 16 ( 2 + 5) 

is your answer

hope this helps
A ,it's the only one that comes out the same outcome of 32+80 which =112 b is wrong because if you know PEMDAS p= parenthesis and you do p first and that would give you a huge wrong answer b would equal 192

State your first and last name. use the letters in your first name and last name to write an equation of a line in slope-intercept form, y=mx + b as follows:

Answers

If my name were John Smith, then I could write the slope-intercept form of a parrticular line as h = nt + h.  This is just one of countless possibilities.


Determine which statement is true about the graph of a function

Answers

The correct answer here is B.

Let's start with the first statement: "The degree of the function is even."  

This statement is true as both ends of the graph are approaching negative infinity and is resembles y=x^2 (an even degree function).

Second Statement: "The leading coefficient is negative."
This is also true has this parabola is faced downwards, meaning it is negative.  Also, a quadratic that has a maximum as its vertex is always going to be a negative function.

In this problem, y = 1/(1 + c1e−x) is a one-parameter family of solutions of the first-order de y' = y − y2. find a solution of the first-order ivp consisting of this differential equation and the given initial condition. y(0) = − 1 8

Answers

The solution can be determined if we can specify the value of the arbitrary constant C₁. We do this by using the initial condition. When x=0, y is equal to -18. Substitute this to the general solution.

y = 1/(1 + C₁e⁻ˣ)
-18 = 1/(1 + C₁e⁰)
-18 = 1/(1+C₁)
C₁ = -1- 1/18 = -19/18

Therefore, the specific solution is:
y = 1/(1 - 19e⁻ˣ/18)

Jared has a novel to read for Language Arts class. The novel has a total of 650 pages that he must read in 10 days. He estimates that he can read 25 pages in 1 hour. He plans to read for 3 hours each day. Which number below represents the coefficient of the term that represents the number of pages he can read in one day.

Answers

If he is reading 25 pages in 1 hour and he reads for 3 hours a day all you need to do is multiple  
25 x 3 = 75

Find f'(a) f(t)=2t+1/t+3

Answers

I'm going to rewrite f(t) to make it a little easier to use the power rule:
[tex]f(t)=2t+t^{-1}+3[/tex]

Now just take the derivative using the power rule:
[tex]f'(t)=2-t^{-2}[/tex]

Since they ask for f'(a), we need to replace the t's with a's:
[tex]f'(a)=2-a^{-2}[/tex]
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