At the beginning of a basketball season, the Panthers won 30 games out of 66 games. At this rate, how many games will they win in a normal 106-game season?

To find when a publisher makes or loses money, compare the cost function C=96,000+20x to the revenue function R=26x. The break-even point is at x=16,000 books produced and sold weekly. Below this, the company incurs losses.

When determining when a publishing company makes or loses money, we investigate the relationship between cost and revenue functions. The cost function given is C=96,000+20x and the revenue function is R=26x, with x representing the number of books produced and sold per week. A company loses money when costs exceed revenues, that is when C > R.

To find the quantity of books where this happens, we equate the two equations:

Therefore, at the production and sale of 16,000 books, the company will break even. Producing fewer than 16,000 books would result in a loss because the cost would be higher than the revenue generated.

Answer: 1/8

Step-by-step explanation: A percent is a ratio that compares a number to 100. So we can write 12.5% as 12.5/100.

Next, we need to get rid of the decimal. We can multiply the numerator and denominator of a fraction by the same number without changing the value of the fraction.

So to get rid of the decimal, we can multiply the numerator and the denominator of 12.5/100 by 10 and we have 125/1000.

Now, notice that 125/1000 is not in lowest terms because we can divide the numerator and the denominator by 125 to get 1/8.

So 12.5% can be written as the fraction 1/8.

When gathering resources for problem-solving, the following ideas can be helpful:

The given options are all effective strategies that can assist in organizing and understanding the problem, as well as formulating a solution.

Option C, guessing at the solution, might not always be reliable or effective in all scenarios and is not considered a systematic approach.

Therefore, it may not be considered a recommended idea when gathering resources for problem-solving.

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The fraction that the costume maker should use for each sash is 1/8 of the total fabric available, as the fabric is being evenly divided among the 8 dresses.

If the costume designer is making sashes for 8 dresses and aims to use each bit of fabric equally, then each sash should consist of 1/8 of the total fabric. This is because the total fabric is being divided evenly among the 8 dresses. For example, if the costume designer has 8 yards of fabric, then each sash would use 1 yard of fabric (8 divided by 8 equals 1).

In fraction terms, each sash uses 1/8 of the fabric available. So for each dress, the costume designer should use 1/8 of the total fabric to make a sash.

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2.) Simplify a fraction:

3/7 divided by 6 is equal to 1/14.

To divide 3/7 by 6, you can multiply the numerator (3) by the reciprocal of the denominator (6).

The reciprocal of 6 is 1/6.

So, (3/7) divided by 6 can be calculated as:

(3/7) × (1/6)

= (3 × 1) / (7× 6)

= 3/42

Divide numerator and denominator by 3:

= 1/14

Therefore, 3/7 divided by 6 is equal to 1/14.

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Final answer:

The maximum value of the electric current I is 1 + √8, and the minimum value is -1 - √8, found by considering the amplitudes of the cosine and sine components in the given function.

Explanation:

The maximum and minimum values of an electric current, I, can be found by analyzing the function I=cos(wt)+√8sin(wt), where w is a constant and ≠0.

To find the maximum and minimum values, we need to consider the amplitude of the sine and cosine components separately. The maximum amplitude of the cosine function is 1, and for the square root of 8 times the sine function, it is √8. Therefore, the maximum possible value of the current is when both the sine and cosine functions are at their peaks. In this case, the maximum value of I would be 1 + √8.

To find the minimum value, we consider the case when the cosine function is at its minimum value, -1, and the sine function is also at its minimum, which can also be - √8. Therefore, the minimum possible value of I would be -1 - √8.

1. -2=1/2x

2.1/2x=-2

3. 2*(1/2x)=(2)*(-2)

4. x=-4

Hope this helps :)

-2=1/2x

1/2x=-2

2*(1/2x)=(2)*(-2)

x=-4

I hope this helped! :)

Answer:  The given equation will have infinite number of solutions.

Step-by-step explanation:  We are given to check the number of solutions to the following equation :

[tex]25-4x=15-3x+10-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the number of solutions, we must solve the given equation.

The solution of equation (i) is

[tex]25-4x=15-3x+10-x\\\\\Rightarrow 25-4x=25-4x\\\\\Rightarrow 4x-4x=25-25\\\\\Rightarrow 0=0,[/tex] which is always true.

Thus, the given equation will have infinite number of solutions.

Answer:

c = 1816 feet below sea level

Step-by-step explanation:

Answer:

Option A. is the answer.

Step-by-step explanation:

Charlie is making a scale model of his kitchen.

The kitchen measures 12 feet by 11 feet.

We can use the unitary method to get the scale measures.

Since his scale is 3 feet = 2 inches.

So 1 feet = [tex]\frac{2}{3}[/tex] inches

and 12 feet = [tex]\frac{(2)(12)}{3} = 8[/tex] inches

Similarly 11 feet = [tex]\frac{(11)(2)}{3}=7.3[/tex] inches

Therefore, scale measures of the kitchen will be = 8 in by 7.3 in

Option A. is the correct answer.

Answer:

The area of the canvas, including the floor is 1548 sq. feet.          

Step-by-step explanation:

Given : A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet.

To find : What is the area of the canvas, including the floor?

Solution :  

A conical tent made of canvas has a base that is 34 feet.

The diameter of the base is D=34 feet.

The radius of the base is [tex]r=\frac{34}{2}=17[/tex]

The slant height l=12

The area of the canvas, including the floor is

[tex]A=\pi r l+\pi r^2[/tex]

[tex]A=\pi r(l+r)[/tex]

[tex]A=3.14\times 17(17+12)[/tex]

[tex]A=3.14\times 17\times29[/tex]

[tex]A=1548.02[/tex]

In nearest whole unit, A=1548 sq. feet.

Therefore, The area of the canvas, including the floor is 1548 sq. feet.

=-24

Use the Rules for Signs for Multiplication

then multiply the numbers

The state in question produces 78% of the country's total annual tart cherry production.

The state in question produces 78 out of every 100 tart cherries annually, which is the same as 78 out of 100 or 78/100. When written as a fraction, this can be turned into a decimal by dividing the numerator (78) by the denominator (100). This will give 0.78. To convert this decimal into a percentage, we then multiply by 100 which leads to 78%. This means the state produces 78% of the total tart cherries grown in the country each year.

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