A water bottle holds 120oz. Each time Anna takes a sip she drinks 10oz.a) Write a function to represent the scenario

b) How many sips can Anna take before she needs to refill?

c) Create a graph to represent this situation.

d) What is the domain of the function?

Answer:

4 1/12

Step-by-step explanation:

make all the denominators 12 so u can add them easier

2 1/12 + 2 4/12 + 3 2/12 = 7 7/12

nn subtract from the 11 2/3

11 8/12 - 7 7/12 = 4 1/12

9514 1404 393

Answer:

  3 < x < 6

Step-by-step explanation:

Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.

  P = 2(L +W)

  P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify

The perimeter wants to be between 38 and 74 cm, so we have ...

  38 < 12x +2 < 74

  36 < 12x < 72 . . . . . subtract 2

  3 < x < 6 . . . . . . . . . divide by 6

_____

Additional comment

Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.

Here, our first step was to subtract 2 from all parts of the inequality:

  38 -2 < 12x +2 -2 < 74 -2   ⇒   36 < 12x < 72

The division by 12 worked the same way: all parts are divided by 12.

  36/12 < (12x)/12 < 72/12   ⇒   3 < x < 6

__

If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.

Answer:

a

Step-by-step explanation:

Answer:

It took 12.5 hours to catch up with the men

Question:

the hooded men rushed out of town at 100 miles per hour one hour later the masked men left town in pursuit at 125 mph how many hours did it take the masked men to catch up to the hooded men

Answer:

12.5

Step-by-step explanation:

This doesn't say it in the question but the hooded man drove 125 miles,
his speed was 100 mph.

The masked man drove also drove 125 miles but he drove at 125 mph.

Ok sorry lets make this simpler.

divide 1250 by 100 and your answer is:

12.5

So, it took the masked man 12.5 hours to catch up with the hooded man.

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

B. 2

Step-by-step explanation:

Here we need to the find the value in the green box.

Hence, only evaluate the part to the left of the operation sign.

Answer:

A = 220 cm²

Step-by-step explanation:

The area of the rectangle is :

The area of the triangle is:

The total area is:

-Chetan K

The area of this polygon is equal to 220 cm².

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

For finding the area, the steps are presented below.

   STEP 1 - Identify the basic shapes.

The polygon is composed of one triangle and one rectangle. Therefore, you should sum the area of these geometric figures.

   STEP 2 - Find the area of the triangle.

       Area of the triangle - \(A_{triangle}=\frac{bh}{2}\) . The figure shows:

      b= length of the base= 18-7=11 cm

       h=height=15-11=4cm

       Then,  \(A_{triangle}=\frac{bh}{2}=\frac{11*4}{2}=\frac{44}{2} =22 cm^2\).

   STEP 3 - Find the area of the rectangle.

      Area of the rectangle- \(A_{rectangle}=bh\) . The figure shows:

       b= length of the base= 18 cm

        h=height= 11 cm

       Then, \(A_{rectangle}=bh=18*11=198cm^2\)  .

   STEP 4 - Find the area of the polygon .

                    \(A_{polygon}=A_{triangle}+A_{rectangle}\\ \\ A_{polygon}=22+198\\ \\ A_{polygon}=220cm^2\)

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Answer: 14.7 grams of fat.

Step-by-step explanation:

The data we have is:

1g of sugar contains 4 cal

1g of fat contains 9 cal.

Let's define:

S = # of grams of sugar.

F = # of grams of fat.

We know that:

A serving has 160 calories:

S*4cal + F*9cal = 160 cal.

S = 7.

Then we can replace the second equation into the first one, and get:

7*4cal + F*9cal = 160cal

F*9cal = 160cal - 28cal = 132 cal.

F = 132cal/9cal = 14.66...

Now we want to round it to the first decimal place, the next decimal after it is a 6, so we must round up.

F = 14.7

This means that the serving has 14.7 grams of fat.

Answer:

1/6

Step-by-step explanation:

A (6,1)

B (12,2)

slope = (2-1)/(12-6)

1/6

Answer: \(d=\frac{50C}{157}\)

Step-by-step explanation:

\(C=3.14d\)

\(3.14d=C\)

\(3.14d\cdot \:100=C\cdot \:100\)

\(314d=C\cdot \:100\)

\(\frac{314d}{314}=\frac{C\cdot \:100}{314}\)

\(d=\frac{50C}{157}\)

Answer:

24

Step-by-step explanation:

\(\frac{3}{4} *32\\=\frac{3}{4}*\frac{32}{1} \\=\frac{96}{4} =24\)

Answer:

4(9+3) = 48

Step-by-step explanation:

To simplify the expression 4(9+3), we need to perform the addition inside the parentheses first and then multiply the result by 4.

9+3 = 12, so we can substitute this into the expression as follows:

4(9+3) = 4(12)

Now we can perform the multiplication:

4(12) = 48

Therefore, the equivalent expression to 4(9+3) is simply 48.

The unit sales of product A at the monthly break-even point is 193,750 units.

To determine the unit sales of product A at the monthly break-even point, we need to calculate the total contribution margin that covers the monthly fixed costs of $387,500.

Given that the unit contribution margin for product A is $2 and the unit selling price for product A is $5, we can calculate the contribution margin ratio for product A as follows:

Contribution Margin Ratio for Product A:

= (Unit Contribution Margin for Product A) / (Unit Selling Price for Product A)

= $2 / $5

= 0.4

40%

Now, let's consider the sales ratios given in the problem statement. It states that the company sells two units of A for each unit of B, and three units of B for each unit of C. This means that the sales ratio for product A to product B is 2:1, and the sales ratio for product B to product C is 3:1.

Let's assume that the unit sales of product A at the monthly break-even point is "x". Then, the unit sales of product B would be "2x" (based on the sales ratio of 2:1 between A and B), and the unit sales of product C would be "6x" (based on the sales ratio of 3:1 between B and C).

The total contribution margin for product A at the monthly break-even point can be calculated as follows:

Total Contribution Margin for Product A = (Unit Contribution Margin for Product A) * (Unit Sales of Product A at Break-Even Point)

= $2 * x

Since the monthly fixed costs are $387,500, we can set up the equation for the break-even point as follows:

Total Contribution Margin for Product A = Monthly Fixed Costs

$2 * x = $387,500

Now we can solve for x, the unit sales of product A at the monthly break-even point:

$2 * x = $387,500

x = $387,500 / $2

x = 193,750

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All of the assertions are false. A statistically significant finding does not necessarily imply that the null hypothesis has been proven incorrect, nor does it indicate how likely it is to be true.

Generally speaking, the word "norm" describes something that is customary, typical, anticipated, or standard. Norms are established definitions of beneficial attitudes and actions that ought to be commonplace, or "the norm," whenever a group is working together. They apply to cooperation and collaboration.

When the variances are known and the sample size is large, a z-test is a statistical test that is used to assess whether two population means differ from one another.

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The solution to the equation -2(x + 3) = -6 is x = 0.

To simplify the expression 5t + 7 + 8b, we can combine like terms.

There are two like terms in the expression: 5t and 8b.

Combining the like terms gives us:

5t + 8b + 7

Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.

Regarding the equation -2(x + 3) = -6:

To solve this equation, we can follow these steps:

Distribute the -2 to the terms inside the parentheses:

-2 * x + (-2) * 3 = -6

This simplifies to:

-2x - 6 = -6

Move the constant term to the right side by adding 6 to both sides of the equation:

-2x = 0

Divide both sides of the equation by -2 to isolate the variable x:

x = 0 / -2

Simplifying the right side of the equation gives us:

x = 0

The solution to the equation -2(x + 3) = -6 is x = 0.

The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.

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Answer:

domain:{10,28,42,52}

range:{-10,6,10}

Step-by-step explanation:

Hello There!

If you didn´t know the domain is the set of x values

the x values in the given relation are

10,28,42,10 and 52

so the domain is {10,28,42,52}

The range is the set of y values

the y values in the given relations are

6,-10,6,10,10

so the range is {-10,6,10}

The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2

To solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:

8x²(x² - 4) = 0

Now we can use the difference of squares identity to factor the quadratic expression:

8x²(x + 2)(x - 2) = 0

Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.

Therefore, we can set each factor equal to zero and solve for x:

8x² = 0 or x + 2 = 0 or x - 2 = 0

Solving for x, we get:

x = 0 or x = -2 or x = 2

So the solution set for the equation is {0, -2, 2}.

To check the solution, we can substitute each value into the original equation and verify that it equals zero.

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Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Answer:

Median: The median is the middle value of the data set when the data is arranged in ranking order. It always lies at the center of the data set and not affected by the extreme values or outliers. For the calculation of median, the variable should be measured at least at the ordinal level.

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

Answer:

1233

Step-by-step explanation:

kieley

Answer:

80

Step-by-step explanation:

180-100+80.

Answer:

×=64

I HOPE IT CAN HELP:(

The average rate of change over the interval from -3 to 1 is 2.000

To find the average rate of change over the interval from -3 to 1, we need to calculate the change in y divided by the change in x.

Δy = y₂ - y₁ = (-10) - (-18) = 8

Δx = x₂ - x₁ = 1 - (-3) = 4

Now, we can calculate the average rate of change using the formula:

Average Rate of Change = Δy / Δx

Average Rate of Change = 8 / 4 = 2

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Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

The coordinate of points K, L and M is the location of the points on a coordinate plane

Here, we have,

to determine the missing coordinates:

The given parameters are:

K = (10, )

L = ( ,10)

M = (30, )

The question has missing parameters.

So, I will assume that the line is a perfectly horizontal line.

This means that the y-coordinates of points K, L and M are equal.

The y-coordinate of point L is 10.

So, we have:

K = (10, 10)

L = ( ,10)

M = (30, 10)

Assume that point L is halfway points K and M, then we have:

K = (10, 10)

L = (20, 10)

M = (30, 10)

See attachment for the diagram of the coordinate plane showing the line

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Carrie has 4 more pints of paint than Bryan.

Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.

To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.

Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.

Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.

To find the difference, we subtract Bryan's pint quantity from Carrie's:

24 - 20 = 4 pints.

Therefore, Carrie has 4 more pints of paint than Bryan.

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