Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Frank need to purchase? (2 points)

(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)

Group of answer choices

1 bottle

2 bottles

3 bottles

4 bottles

Answer:

35 your welcome have a day good

Step-by-step explanation:

John's monthly payment for a 6-year loan of $59,400 at a 5% interest rate compounded monthly is approximately $933.69.

To calculate the monthly payment, we can use the formula for the monthly payment of a loan:

PMT = (P * r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

PMT = Monthly payment

P = Principal amount (loan amount)

r = Monthly interest rate (annual interest rate divided by 12)

n = Total number of payments (number of years multiplied by 12)

In this case, the principal amount is $59,400, the annual interest rate is 5%, and the loan duration is 6 years.

First, we need to convert the annual interest rate to a monthly rate. Dividing 5% by 12 gives us 0.00417, which is the monthly interest rate (r).

Next, we calculate the total number of payments by multiplying the number of years (6) by 12, resulting in 72 payments (n).

Now, we can substitute the values into the formula:

PMT = (59400 * 0.00417 * (1 + 0.00417)^72) / ((1 + 0.00417)^72 - 1)

Calculating this expression yields the monthly payment of approximately $933.69.

Therefore, John's monthly payment for the 6-year loan would be around $933.69.

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The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:Sand and gravel are combined with other materials to create a cement mixture. The relationship between sand and gravel is represented by s = 3g in terms of g. Rewrite the equation in terms of s.

aterials to create a cement mixture. The relationship between sand and gravel is represented by s = 3g in terms of g. Rewrite the equation in terms of s.

Step-by-step explanation:

reate a cement mixture. The relationship between sand and gravel is represented by s = 3g in terms of g. Rewrite the equation in termsSand and gravel are combined with other materials to create a cement mixture. The relationship between sand and gravel is represented by s = 3g in terms of g. Rewrite the equation in terms of s.

Answer:

Width <= 12

Width >= 6

Step-by-step explanation:

36 <= 2(12) + 2x <= 48

36 <= 24 + 2x

36 - 24 <= 2x

12/2 <= x

x >= 6

24 + 2x <= 48

2x <= 48 - 24

x <= 24/2

x <= 12

The compound inequality used to define the range of values of the width of the garden w is 6 ≤ w ≤ 12. This gives us the range of values for the width of the garden as {6 feet, 7 feet, 8 feet, 9 feet, 10 feet, 11 feet, 12 feet}.

Compound equality is a statement including more than one inequality operation (>, <, ≥, ≤, ≠).

In the question, we are informed that Elouise is creating a rectangular garden in her backyard. The length of the garden is 12 feet. The perimeter of the garden must be at least 36 feet and no more than 48 feet.

We are asked to use a compound inequality to find the range of values for the width of the garden.

The perimeter of a rectangle is given by the formula,

Perimeter = 2*(Length + Width)

Let the width of the garden be w feet.

∴ The perimeter of the garden = 2*(Length + Width) = 2*(12 + w).

We have been informed that the perimeter is at least 36 feet. This can be represented by the inequality, 2*(12 + w) ≥ 36

or, 12 + w ≥ 36/2

or, 12 + w ≥ 18

or, w ≥ 18 - 12

or, w ≥ 6 ... (i)

We have been informed that the perimeter is no more than 48 feet. This can be represented by the inequality, 2*(12 + w) ≤ 48

or, 12 + w ≤ 48/2

or, 12 + w ≤ 24

or, w ≤ 24 - 12

or, w ≤ 12 ... (ii).

Combining (i) and (ii), we get the required compound inequality,

6 ≤ w ≤ 12.

This gives us the range of w to be {6 feet, 7 feet, 8 feet, 9 feet, 10 feet, 11 feet, 12 feet}.

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Answer:

Tell me about it..

Step-by-step explanation:

Step-by-step

explanation:

math is hard because is hard

Answer:

993.5

Step-by-step explanation:

106×5.75 +128×3

Answer:

See the explanation for all three forms

Step-by-step explanation:

Given data

Number of striped shirt= 11

Number of plaid shirt= 8  

First way

the ratio as a fraction

=11/8

Second way

the ratio as a decimal

=11/8

= 1.375

Third as a ratio

we have

=11:8

Step-by-step explanation: 4 Weeks

Find the first match in the same number of weeks.

25, 30, 35, 40, 45, 50, 55, 60

10, 20, 30, 40, 50, 60, 70, 80,

As you can see, 40 dollars for each person is four weeks.

Answer:

5

Step-by-step explanation:

plz mark brainly

The matching answers and corresponding colors for the holiday lights are: (Slope: 3) Dark Blue, (Slope: -4) Violet, (Slope: 1/4) Red.

To find the slope of a line passing through two points \((x_1, y_1)\ and\ (x_2, y_2)\), we can use the formula:

Slope = \((y_2 - y_1) / (x_2 - x_1)\)

Let's calculate the slopes for each pair of points:

1. (8, 3) and (10, 9):

Slope = (9 - 3) / (10 - 8) = 6 / 2 = 3

2. (2, -3) and (1, 1):

Slope = (1 - (-3)) / (1 - 2) = 4 / (-1) = -4

3. (-4, -8) and (-8, -9):

Slope = (-9 - (-8)) / (-8 - (-4)) = (-9 + 8) / (-8 + 4) = -1 / (-4) = 1/4

Now let's compare the slopes to identify the matching answers:

1. Slope: 3 (Dark Blue)

2. Slope: -4 (Violet)

3. Slope: 1/4 (Red)

Thus, the corresponding colors for the holiday lights would be:

1. Dark Blue

2. Violet

3. Red

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Answer:

5 friends

Step-by-step explanation:

Candy pieces = 60

Chocolate = 45

What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over?

To calculate this, find the lowest factor of 60 and 45

60:

Factors = 2, 4, 5, 6,

45:

Factors= 3, 5, 9

The lowest common factor of 60 and 45 is 5

The smallest number of her sister's friend so each person get an equal number of candy pieces and chocolate so there won't be any leftover is 5

That is

If there are 5 friends at the birthday party

60 candy pieces among 5 friends

= 60/5

= 12 pieces each

45 chocolate among 5 friends

= 45/5

= 9 each

Answer: this is hard I hate math sorry

Step-by-step explanation:

:(

To calculate the percent of variance that age at first birth shares with highest grade completed, we can use the coefficient of determination (R-squared). R-squared measures the proportion of the total variance in one variable that can be explained by another variable.

First, we need to perform a regression analysis to obtain the R-squared value. This can be done using statistical software or tools like Excel or SPSS.

Once you have the R-squared value, you can interpret it as the percentage of variance that age at first birth shares with highest grade completed. For example, if the R-squared value is 0.5, it means that 50% of the variance in age at first birth can be explained by the highest grade completed.

In conclusion, the R-squared value obtained from the regression analysis will provide the percentage of variance that age at first birth shares with highest grade completed. The higher the R-squared value, the stronger the relationship between the two variables.

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The table represents two different functions, where function g(x) is the exponential function

For a function to be an exponential function, the following must be true about the function:

\(r = \frac{y_{n+1}}{y_n}\)

Using the table of values (see attachment), we have:

Function f(x)

r = 12147367/11833485.4 ≈ 1.026525

r = 12464241.8/12147367 ≈ 1.026086

Function g(x)

r = 12112204/11412611 ≈ 1.0613

r = 12854683/12112204 ≈ 1.0613

Notice that the values of r in the function g(x) are the same

Hence, the exponential function is the function g(x)

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Step-by-step explanation:

the sequence is arithmetic due to the common difference that is equal

d=11-15=7-11=-4

 a(n) = a1 +(n-1)d

a1=15

Then :

a(n) = 15+(n-1)-4

hope this helps

Answer: I think the answer is arithmetic sequence and the common ration is equal to 1/3.

Step-by-step explanation:

Answer:

9(-9x+3), 27(-3x+1), -27(3x-1)

Step-by-step explanation:

If u calculate everything together u will definitely get your answer of -81x + 27

The relationship between two integers a and b, where a is a divisor of b, can be expressed using the existential quantifier. We can say that "a divides b" if and only if there exists an integer k such that:

b = ak

In other words, a divides b if and only if there exists an integer k such that b can be expressed as the product of a and k.

We can also express this relationship using the universal quantifier by saying that for all integers a, b, and k:

a divides b if and only if b = ak for some integer k

Both the existential and universal quantifier definitions of divisibility are equivalent and can be used interchangeably. The use of quantifiers allows us to make precise mathematical statements about the relationships between integers and the properties of the integers themselves.

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Answer: its (4f 5) ^3

Step-by-step explanation:

Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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Answer:

20m - 60 = 280

Step-by-step explanation:

The gallons of gas required by Ryan to travel 286 miles is 13.2 gallons.

As the stated question;

Total gallon of gas used to drive the 260 miles = 12 gallons

Let 'x' be the gallon of gas used to drive the 286 miles.

Then, bu using the proportion

12 / 260 = x / 286

Thus,

x = 286 x 12 / 260

x = 13.2 gallons

Thus, the amount of gas required by Ryan to travel 286 miles is 13.2 gallons.

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Answer:

Step-by-step explanation:

Jolene speed =40 mph

Samantha speed=50mph

let x be the time Samantha needs to be ahead of Jolene

40x+25=50x

25=50x-40x

25=10x

x=2.5 hours

Answer:

x=-2 :)

Step-by-step explanation:

remove the parentheses

8x+32+2x=-6-9x

collect like terms

10x+32=-6-9x

move the terms

10x+9x=-6-32

collect like terms

19x=-38

divide both sides

x=-2

hope it helps <3

Answer: x=-2

Step-by-step explanation: First, you would distribute 8 through the first set of parenthesis. You are basically just multiplying 8 and 4. After doing this, you get an equation of 8x+32+2x=-3(2+3x)

Secondly, (this step goes in hand with step 1) you would distribute -3 through the second set of parenthesis. Now, you have an equation of 8x + 32 + 2x = -6 -9x.

Thirdly, you would collect like terms. All your doing in this step is adding 8 and 2. You now have an equation of 10x + 32 = -6 - 9x.

Fourth, you are going to the variable of 9x to the left-hand side and change it from being negative to being positive.

Fifth, (this one goes in hand with step 4) you will move the constant which is 32 to the right-hand side and change it from a positive to a negative. Now, your new equation is 10x + 9x = -6 - 32

Sixth, you will collect like terms. Your going to add 9 and 10. You now have an equation of 19x = -6 - 32

Seventh, (going in hand with 6) you are going to collect like terms. Your just going to subtract -6 from -32. Your new equation looks like this: 19x = -38.

Lastly, you are going to divide both sides of the equation by 19. 19/19 cancels out, and your left with x=-2, which is your answer.

Hope this helps!

Answer:

x=2

Step-by-step explanation:

x=14cm/7cm

x=2cm

waakan jawaabta kafaa ideesi wcan

The complete square of the given numbers are-

Part a: 6(x + 1/4)^2 + 69/8

Part b: (x + 5/2)^2 + 27/2

Part c: -(x + 3)^2 + 18

For the given question

Part a: 6x^2+3x+9

Tale 6 commom;

6(x^2 + x/2 + 3/2)

Add and subtract 1/16 to the equation;

6(x^2 + x/2 + 1/16 - 1/16 + 3/2)

6((x^2 + x/2 + 1/16) - 1/16 + 3/2)

6((x + 1/4)^2 + 23/16)

6(x + 1/4)^2 + 69/8

Part b: x^2+5x+26

Add and subtract 25/4 to the equation;

x^2 + 5x + 25/4 - 25/4 + 26

(x^2 + 5x + 25/4) - 25/4 + 26

(x + 5/2)^2 + 27/2

Part c: -x^2+6x+9

Taking - 1 common.

-(x^2 - 6x - 9)

Add and subtract 9 in the equation;

-(x^2 - 6x + 9 ) - 9  - 9)

-((x^2 - 6x + 9 ) - 9  - 9)

-((x + 3)^2 -18)

-(x + 3)^2 + 18

Thus, the complete square of the umber are found.

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Answer: 123

Step-by-step explanation:

what you mean bae

Answer:

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

Step-by-step explanation:

Given:

(2x + 5) / (x² - 3x) - (3x + 5) / (x³ - 9x) - (x + 1) / x² - 9

Factor the denominators

(2x + 5) / x(x - 3) - (3x + 5) / x(x - 3)(x + 3) - (x + 1) / (x - 3)(x + 3)

Lowest common multiple of the 3 fractions is x(x - 3)(x + 3)

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

= (2x²+6x+5x+15) - (3x + 5) - (x² + x) / x(x - 3)(x + 3)

= 2x² + 11x + 15 - 3x - 5 - x² - x / x(x - 3)(x + 3)

= x² + 7x + 10 / x(x - 3)(x + 3)

Solve the numerator.

Solve the quadratic expression by finding two numbers whose product is 10 and sum is 7

The numbers are 5 and 2

= x² + 5x + 2x + 10 / x(x - 3)(x + 3)

= x(x + 5) + 2(x + 5) / x(x - 3)(x + 3)

= (x + 5)(x + 2) / x(x - 3)(x + 3)

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

Recall,

x(x - 3)(x + 3) is a factor of x³ - 8x

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

(x + 5)(x + 2) / x³ - 9x

B. StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction

(x + 5)(x + 4) / x³ - 9x

C. StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction

2x + 11 / x³ - 12x - 9

D. StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction

3(x + 2) / x² - 3x

Answer:

30=2*3*5, so it's 30

Step-by-step explanation:

15=3*5, so it's not 15

20=2*2*5, so it's not 20

30=2*3*5, so it's 30

57=19*3, so it's not 57

The volume of one spherical candle is approximately 33.51 cubic inches.

What is meant by volume?

Volume refers to the amount of space occupied by an object or substance. It is typically measured in cubic units such as litres, cubic meters, or gallons.

What is meant by spherical?

Spherical refers to any object or geometry that is based on or resembles a sphere, which is a three-dimensional shape with all points on its surface equidistant from its centre.

According to the given information

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.

Substituting r = 2 into the formula, we get:

V = (4/3)π(2)³

V = (4/3)π(8)

V = (32/3)π

V ≈ 33.51 cubic inches (rounded to the nearest hundredth)

Therefore, the volume of one spherical candle is approximately 33.51 cubic inches.

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