round 2.51 to 1 decimal place

Answers

Answer 1

Answer:

\(\boldsymbol{2.5}\)

Step-by-step explanation:

Hi student! Let me help you out on this question.

____________

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

\(\dag\) ROUNDING \(\dag\)

 When rounding numbers, it's important that you remember these two rules:

If the digit you are asked to round is followed by a digit less than 5, you round down. An example is given below.

  \(\boldsymbol{3.51=== > 3.5}\) (Rounded to 1 D.P.)

     2. If the digit you are asked to round is followed by a digit

          greater than or equal to 5, you round up. An example is given

             below.

\(\boldsymbol{6.25=== > 6.3}\)

\(\boldsymbol{2.16=== > 2.2}\)

                                     ↪

Now that we know these two rules, let's round the given number.

\(\boldsymbol{2.51=== > ?}\)

The digit we are asked to round to (5) is followed by a number less than 5.

\(\sf{\therefore,\:we\:round\:down.}\)

Thus,

\(\boldsymbol{2.51=== > \not? \:2.5}\). Which is our answer.

Hope that this helped you out! Have a nice day ahead.

Best Wishes!

◈◈-Greetings!-◆◆

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

___________________


Related Questions

What is z4 + z4 + z4 + z4?

Answers

Answer:

4z

Step-by-step explanation:

5x−2(x+1)=1/4 find x pretty please

Answers

Answer:

Delaney  solve for X by isolating it,  or getting it by it self

Step-by-step explanation:

5x−2(x+1)=1/4 (distribute the 2)

5x-2x - 2 = 1/4  (subtract 2x from 5x)

3x -2 +2 = 1/4 +2 (add 2 to both sides)

3x = 2_1/4  (put 2 &  1/4 together)

3x = 9/4 (convert 2_1/4 to  9/4)

\(\frac{1}{3}\)*3*x =  \(\frac{1}{3}\)*\(\frac{9}{4}\)  ( mutilply both sides by  1/3)

X = 3/4   (cross multiply )

There you go

X = \(\frac{3}{4}\)

Answer:

\(\huge\boxed{\bf\:x = \frac{3}{4}}\)

Step-by-step explanation:

\(5x - 2(x+1)=\frac{1}{4}\)

Use the distributive property for 2(x + 1).

\(5x - 2x - 2= \frac{1}{4}\)

Subtract 2x from 5x.

\(3x - 2= \frac{1}{4}\)

Bring 2 to the right hand side of the equation .

\(3x = \frac{1}{4} + 2\)

Add 1/4 & 2.

\(3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}\)

Now, bring 3 to the right hand side of the equation .

\(x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}\)  

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A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :
h(t) = -16t? + 40t + 10
How many seconds does it take the ball to reach its maximum height?

Answers

The time taken to reach the maximum height is 1.25 seconds.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function h(t) = -16t² + 40t + 10.

To calculate the time to get the maximum height to differentiate the function with respect to t and equate it with zero,

h(t) = -16t² + 40t + 10.

(d/dt)h(t) = ( d / dt ) { -16t² + 40t + 10 } = 0

( d / dt ) { -16t² + 40t + 10 } = 0

-32t  + 40 = 0

-32t = -40

t = 40 / 32

t = 1.25 seconds

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Here are summary statistics for randomly selected weights of newborn girls: n=220, x= 29.9 hg, s = 7.3 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 27.7 hg<µ<31.7 hg with only 16 sample values, x = 29.7 hg, and s=3.1 hg? What is the confidence interval for the population mean µ? 28.7 hg<μ< 31 hg (Round to one decimal place as needed.) Are the results between the two confidence intervals very different? O A. No, because the confidence interval limits are similar. O B. Yes, because the confidence interval limits are not similar. O C. Yes, because one confidence interval does not contain the mean of the other confidence interval. O D. No, because each confidence interval contains the mean of the other confidence interval.

Answers

The results are different from each other because the confidence interval limits and the mean values differ.

The confidence interval is a range of values within which we estimate the true population mean to lie. In the first set of data, with n = 220, x = 29.9 hg, and s = 7.3 hg,

we construct a 98% confidence interval estimate of the mean. With these values, the confidence interval would be calculated using the formula:

CI = x ± (Z * (s / √n))

where Z is the critical value corresponding to the desired confidence level. For a 98% confidence level, Z would be the value corresponding to the middle 98% of the standard normal distribution, which is approximately 2.33.

Plugging in the values, we get:

CI = 29.9 ± (2.33 * (7.3 / √220))

CI = 29.9 ± 2.033

Therefore, the confidence interval estimate of the mean for the first set of data is approximately 27.9 to 32.9 hg.

In the second set of data, with only 16 sample values, x = 29.7 hg, and s = 3.1 hg, we have a different confidence interval. Following the same formula and using a critical value of 2.33, we get:

CI = 29.7 ± (2.33 * (3.1 / √16))

CI = 29.7 ± 1.854

So, the confidence interval estimate of the mean for the second set of data is approximately 27.8 to 31.6 hg.

Comparing the two confidence intervals, we can see that they have different limits and do not overlap.

Therefore, the results between the two confidence intervals are different. The correct option is C. Yes, because one confidence interval does not contain the mean of the other confidence interval.

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What is the equation of the line that passes through the point (-4,-3)(−4,−3) and has a slope of -3/4

Answers

The equation of the line is y = -(3/4)x - 6.

What is a line?

A line is a perfectly straight, one-dimensional shape that extends endlessly in both directions and has no thickness.

Given that, the line passes through the points (-4,-3) and has a slope of -3/4.

The equation of the line in point-slope form is:

y - y₁= m (x -x ₁)

Substitute (x₁,y₁) = (-4,-3) and m = -3/4 into the above equation,

y - (-3) = -3/4 (x - (-4))

y + 3 = -3/4 (x + 4)

y = -(3/4)x -3 -3

y = -(3/4)x - 6

Hence, the equation of the line is y = -(3/4)x - 6.

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Ganesh spend 60% of his income every month and saves Rs 11,120 in a month. Find his monthly income and expenditure.​

Answers

Answer:

Rs 16,680

Step-by-step explanation:

Ok

let his income be 100%

he spends 60%

and saves 40%=11,120=Rs 27800=income answer

spend=60%

60÷40×11,120= Rs 16,680=expenditure answer

Hoops incorporated sells basketballs. each basketball requires direct materials of $17. 50.

direct labor of $11. 00, variable overhead of $12. 00, and variable selling. general, and

administrative costs of $9. 50. the company has fixed overhead of $64. 000 and fixed

selling. general, and administrative costs of $71,000. the company has a target profit of

$65. 0. it expects to produce and sell 20. 000 basketballs. the selling price per unit

under the variable cost method is:

Answers

The selling price per unit under the variable cost method is $53.25

To calculate the selling price per unit under the variable cost method, we need to add up all the variable costs and then add a markup for the target profit.

Variable cost per unit = Direct materials + Direct labor + Variable overhead + Variable selling, general, and administrative costs

Variable cost per unit = $17.50 + $11.00 + $12.00 + $9.50

Variable cost per unit = $50.00

Now we need to add a markup for the target profit:

Target profit per unit = Target profit / Number of units

Target profit per unit = $65,000 / 20,000

Target profit per unit = $3.25

Selling price per unit under the variable cost method = Variable cost per unit + Target profit per unit

Selling price per unit under the variable cost method = $50.00 + $3.25

Selling price per unit under the variable cost method = $53.25

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A small business has one team that installs new swimming pools and four employees that clean and maintain pools. Which of
the following is a service that is provided by this business to its customers? (1 point)
O the employees who clean and maintain pools
O the new swimming pools
O the team that installs the new pools
O pool cleaning

Answers

Answer:

the correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools.

O pool cleaning is a service that is provided by this business to its customers.

The correct option is C. The team that installs the new pools.

What is the business to the customer?

Business-to-consumer (B2C) refers to the process of selling goods and services directly between an organization and the customers who will ultimately use them. The majority of businesses that sell directly to customers are referred to as B2C businesses.

The correct answer would be "the team that installs the new pools" and "the employees who clean and maintain pools" are services provided by this business to its customers, as they are actively performing tasks for the customer related to swimming pools. Pool cleaning is a service that is provided by this business to its customers.

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A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?

Answers

8% of $216 is $17.28

simplify fully
\(\frac{4x^{2} +4x}{2x^{2} -2}\)

Answers

Answer:

\(\frac{2x}{x-1}\)

Greatest common factor of 4 and 19?​

Answers

Answer:

The greatest common factor of 4 and 19 is 1

Step-by-step explanation:

Answer:

Greatest common factor of 4 and 19 is 1

If cosine theta equals two over three, what are the values of sin θ and tan θ?

Answers

Answer:

what

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin²x + cos²x  = 1 then

sin²x = 1 - cos²x

sin x = ± \(\sqrt{1-cos^2x}\)

Given cos θ = \(\frac{2}{3}\) , then

sinθ = ± \(\sqrt{1-(\frac{2}{3})^2 }\) = ± \(\sqrt{1-\frac{4}{9} }\) = ± \(\sqrt{\frac{5}{9} }\) = ± \(\frac{\sqrt{5} }{3}\)

Also

tanθ = \(\frac{sin0}{cos0}\)

       = \(\frac{\frac{\sqrt{5} }{3} }{\frac{2}{3} }\)

       = \(\frac{\sqrt{5} }{3}\) × \(\frac{3}{2}\) = ± \(\frac{\sqrt{5} }{2}\)

a. Graph the parabola that opens down, has a vertex of (2, 9), and passes through the points (0, 5), (–1, 0), and (–2, –7). (To draw the graph, you will plot the points given, and then determine three additional points on the other side of the parabola using symmetry.) [4 points]

b. If the equation of the parabola that you graphed in part a. is written in the form f (x) = a(x – h) 2 + k, what are the values for h and k? [1 point] h = k =

c. If a is equal to –1, write the equation of the graphed parabola in the form f (x) = a(x – h) 2 + k.

Answers

(a) The graph of the parabola that opens down, with a vertex of (2, 9), and passing through the points (0, 5), (–1, 0), and (–2, –7) can be plotted using symmetry.
(b) The values for h and k in the equation f(x) = a(x - h)^2 + k are h = 2 and k = 9.
(c) If a is equal to -1, the equation of the parabola is f(x) = -(x - 2)^2 + 9.

(a) To graph the parabola, we can plot the given points (0, 5), (–1, 0), and (–2, –7), and then determine three additional points on the other side of the parabola using symmetry. Since the vertex is (2, 9), we can reflect the plotted points across the vertical line passing through the vertex to get corresponding points on the other side.
(b) The equation of a parabola in the vertex form is f(x) = a(x – h)^2 + k, where (h, k) represents the vertex. In this case, the given vertex is (2, 9), so h = 2 and k = 9.
(c) If a is equal to -1, we substitute the values of a, h, and k into the vertex form equation. Thus, the equation of the graphed parabola becomes f(x) = -(x – 2)^2 + 9.

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Which is more, 23 ounces or 1 pound?

Answers

23 ounces is more because 1 pound is only 16 ounces
23 ounces cuz 16 ounces is a pound

the ceo of a large company decides to survey the workers for their opinions about a new vacation policy. a sample of the population that gives each worker an equal chance of participating in the survey would be a(n): please choose the correct answer from the following choices, and then select the submit answer button. answer choices sample that includes half the workers. random sample. unrepresentative sample. sample that includes all the workers.

Answers

correct answer is random sample

A simple random sample, also known as an SRS, is a subset of people (also known as a sample) picked at random from a larger group of people (also known as a population) with an equal probability. It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people. [1] An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that may be used in combination with other, more sophisticated sampling techniques.

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Ben bought a white plastic shelf that was 6.35 feet long. He also bought a brown plastic shelf that was 2.085 feet long. How much-combined feet of shelving did Ben buy?

Answers

Answer:

combined feet of shelving = 8.435 feet

Step-by-step explanation:

To find the combined feet of shelving, we simply add the two lengths of the shelvings:

1. white plastic shelf = 6.35 feet long

2. brown plastic shelf = 2.085 feet long

combined feet of shelving = 6.35 + 2.085 = 8.435 feet

please help! It would be appreciated to answer quickly

please help! It would be appreciated to answer quickly

Answers

A palindrome is a number that can when read from right to left and from left to right is the same number.

The next palindromic date after 2023 is:

03-02-2030

Which will be the next palindromic date?

We know that an example of a palindromic date is:

12-02-2021

Basically, the number is the same one if we read it from the left than if w read it from the right.

We now want to find a palindromic date in 2023.

Writing that in inverse order we get 32-02

There aren't 32 months, so we can ignore that.

The next year we will have a palindromic date is in 2030, writting that in inverse order and in the month-day notation, we get:

03-02

This is the second day of March.

Then the next palindromic date is 03-02-2030

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A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three
loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework Help!
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

Answers

Answer:

a) For Khalil's purchase

4x + 3y = 11.67.....Equation 1

For Ronda's purchase

8x + y = 12.89......Equation 2

b) A can of soup = x = $2.09

Loaf of bread = y = $1.35

Step-by-step explanation:

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three

loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework Help!

Let us represent:

a can of soup = x

Loaf of bread = y

a. Write equations for both Khalil's and Ronda's purchases.

For Khalil's purchase

= Khalil buys four cans of soup and three loaves of bread for $11.67.

4x + 3y = 11.67.....Equation 1

Ronda buys eight cans of soup and one loaf of bread for $12.89.

8x + y = 12.89......Equation 2

b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

We have:

4x + 3y = 11.67.....Equation 1

8x + y = 12.89......Equation 2

y = 12.89 - 8x

We substitute 12.89 - 8x for y in Equation 1

4x + 3(12.89 - 8x) = 11.67

4x + 38.67 - 24x = 11.67

38.67 - 11.67 = 24x - 4x

27 = 20x

x = 27/20

x = 1.35

y = 12.89 - 8x

y = 12.89 - 8 × 1.35

y = 12.89 - 10.8

y = 2.09

Therefore,

Solving for y

a can of soup = x = $2.09

Loaf of bread = y = $1.35

What are the coordinates of the point on the directed line segment from K (-5, -4) to L (5,1) that partitions the segment into a ratio of 3 to 2.

What are the coordinates of the point on the directed line segment from K (-5, -4) to L (5,1) that partitions

Answers

Answer:

i think its d

Step-by-step explanation:

Calculate the length of segment AB on the graph below.
A. Square root of 5
B. Square root of 73
C. Square root of 65
D. Square root of 90

Calculate the length of segment AB on the graph below.A. Square root of 5B. Square root of 73C. Square

Answers

Answer:

D

Step-by-step explanation:

Substitute the co-ordinates if a and b in the distance formula and you will get the answer as sq root of 90 which is D

-5(2x + 6) + 9x = -32

Answers

Answer:

What is the question? It is incomplete

Step-by-step explanation:

Please mark as brainliest !!!!!

pppppllllllllllssssssss

Answer:

heres ur answer x=2

heres what i used to solve it PEMDAS

What is thermal energy?o a. the amount of energy needed to increase the heat of a substance by 1 degree 0 b. the average kinetic energy of the particles in a substance o c. a measure of how hot or cold something is d. a measure of the total kinetic energy and potential energy of the particles of a substance

Answers

The correct statement is d. a measure of the total kinetic energy and potential energy of the particles of a substance.

What is thermal energy?

The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted between various systems and how work is performed in the process (see the first law of thermodynamics).

Thermal energy refers to the total kinetic energy and potential energy possessed by the particles (atoms or molecules) within a substance. It is a measure of the overall energy content of the substance, taking into account the motion and interactions of its particles. The thermal energy of a substance is influenced by its temperature, as temperature is a measure of the average kinetic energy of the particles. However, thermal energy also includes the potential energy associated with the arrangement and interactions of the particles within the substance.

Therefore, the correct statement is d. a measure of the total kinetic energy and potential energy of the particles of a substance.

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In a binomial​ experiment, the number of successes can never exceed the number of trials.
a. True
b. False

Answers

The statement "In a binomial experiment, the number of successes can never exceed the number of trials" is true. This is because Since there are only a fixed number of trials, the number of successes cannot exceed the number of trials.

A binomial experiment is defined as an experiment that satisfies the following four conditions: 1) the experiment consists of a fixed number of independent trials, 2) each trial has only two possible outcomes, which we call success and failure, 3) the probability of success is constant across all trials, and 4) the trials are independent of each other. Given these conditions, the number of successes in a binomial experiment is the count of the trials that resulted in a success outcome.  Therefore, the statement is true.

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Karl just had a birthday. Karl’s age is now 50% of his uncle’s age. Karl’s uncle is 32 years old. How old is Karl?

Answers

Answer: Karl is 16 years old.

Answer:

karl just turned 16....

Step-by-step explanation:

Hailey invested $2,000 in an account paying an interest rate of 2\tfrac{3}{8}2 8 3 ​ % compounded continuously. Sophie invested $2,000 in an account paying an interest rate of 2\tfrac{7}{8}2 8 7 ​ % compounded daily. To the nearest hundredth of a year, how much longer would it take for Hailey's money to double than for Sophie's money to double?

Answers

Answer:

5.08 years

Step-by-step explanation:

We are to solve for time using compound interest formulas

For Hailey

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 3/8% = 2.375.

Time = ?

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 2.375/100

r = 0.02375 per year,

Then, solve the equation for t

t = ln(A/P) / r

t = ln(4,000.00/2,000.00) / 0.02375

t = 29.185 years

≈ 29.19 years

For Sophie

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 7/8% = 2.875

Time = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 2.875/100

r = 0.02875 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )

t = 24.11 years

How much longer would it take for Hailey's money to double than for Sophie's money to double?

For Hailey it takes 29.19 years

For Sophie it takes 24.11 years

We find the difference

= 29.19 - 24.11

= 5.08 years

Therefore, it would take 5.08 years for Hailey's money to double than Sophie

Answer:

5.07 a little late but oh well

Step-by-step explanation:

Use the system of inequalities:
y ≥ 0, x ≥ 0, y ≤ -2x + 4
and find the minimum value of f(x,y) = 3x + y
for the feasible region.
a. 6
b. 4
c. 2
d. 0

Answers

Using the system of inequalities y ≥ 0, x ≥ 0, y ≤ -2x + 4 the minimum value of f(x,y) = 3x + y for the feasible region is d) 0.

We need to find the minimum value of the function

f(x,y) = 3x + y

we can use Lagrange multipliers method defining

F(x,y) = f(x,y) - λx g(x,y)  , where g(x,y) = x²+36 x y² - 1, such that

Fx(x,y) = fx(x,y) - λx gx(x,y) = 0

Fy(x,y) = fy(x,y) - λx gy(x,y) = 0

g(x,y)=0

where the sub-indices x and y represent the partial derivatives with respect to x and y, then

fx(x,y) - λx gx(x,y) = 3 - λx(2x) = 0 → x =3/(2xλ)

fy(x,y) - λx gy(x,y) = 1 - λx(36x2xy) = 0 → y =1/(72xλ)

x²+36xy² - 1 = 0 → [3/(2xλ)]²+36*[1/(72xλ)]² - 1 = 0

therefore, Using the system of inequalities y ≥ 0, x ≥ 0, y ≤ -2x + 4 the minimum value of f(x,y) = 3x + y for the feasible region is d) 0.

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Find a so that the graph of f(x)=loga x contains the point (14,4)

Answers

Okay, here we have this:

Considering the provided information we obtain the following when we replace the point in the function:

\(\begin{gathered} y=\log _ax \\ 4=\log _a14 \end{gathered}\)

Now, let's solve for a:

\(\begin{gathered} 4=\frac{1}{\log_{14}\left(a\right)} \\ 4\log _{14}\mleft(a\mright)=1 \\ \log _{14}\mleft(a\mright)=\frac{1}{4} \\ a=\sqrt[4]{14} \end{gathered}\)

Finally we obtain that a is equal to ⁴√14. We can check it in the following graph resulting from the function:

Find a so that the graph of f(x)=loga x contains the point (14,4)

Two trains are 480 miles apart. They start at the same time, and travel towards one another. The difference between the speeds of the two train is 20 miles per hour. If the two trains meet after four hours, find the speed of the faster train. can someone explained this please

Answers

Answer:

Did you just start today? It looks like you're new here. I'm also new here.

Step-by-step explanation:

I don't really know what to do either.

From what I've done so far, I don't understand it.

Sorry.

The elevation at the top of a mountain is +150 feet. A reef's elevation is -75 feet. Is the top of the mountain or the reef closer to the sea level?

Answers

The reef is closer to the mean sea level

What is mean sea level?

The average surface level of one or more of the coastal bodies of water on Earth is known as mean sea level (MSL), which is frequently abbreviated as sea level.

The common reference point for heights and contour intervals is the mean seal level

If the top of a mountain is +150 feet it means it is 150 feet above the mean sea level and reef's elevation is -75 feet it means it is 75 feet below the mean sea level

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Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice to make cranberry-apple juice. He also wants to sell the juice at cost for $4.50 per quart. Which equation below represents the situation?

Answers

Answer:

$25.20 for the cranberry juice (see explanation)

Step-by-step explanation:

4 quarts of apple juice and 4 quarts of cranberry juice are the simplest amount I can come up with. Meaning: 4 quarts of cranberry juice being $25.20 mixed with the apple juice.

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