Caroline is baking pies for the teachers' lunch at her school. She plans to give every teacher of a pie. 1/8 She decides to bake 12 pies. How many complete pieces of pie will Caroline be able to serve to the teachers?​

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

D. Omar's transaction involves more money, because |-15| is greater than |10|.

Step-by-step explanation:

The absolute value of a number is simply the magnitude or numerical value of a number while ignoring any sign attached to it. For example, given that x is a real number, absolute value of x, |x| = x. The absolute value of x does not take account of any sign attached to it.

Thus:

The absolute value of Omar's transaction is given as |-15| = 15.

While that of Jake is |10| = 10.

15 is greater than 10.

Therefore, we can conclude that:

"Omar's transaction involves more money, because |-15| is greater than |10|."

Answer:

The answer is D

Step-by-step explanation:

There are two ways to confirm the identity.

Method 1

\(\tan(x)\cot(x) = 1\\\\\tan(x)\frac{1}{\tan(x)} = 1\\\\\frac{\tan(x)}{\tan(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\\)

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

Method 2

\(\tan(x)\cot(x) = 1\\\\\left(\frac{\sin(x)}{\cos(x)}\right)\left(\frac{\cos(x)}{\sin(x)}\right) = 1\\\\\frac{\sin(x)\cos(x)}{\cos(x)\sin(x)} = 1\\\\\frac{\sin(x)}{\sin(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\\)

If the data were transformed and points with the coordinates

(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.

To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.

Let's calculate the logarithms for the given data:

x     y            log(y)

1     12          log(12) = 1.079

2     83        log(83) = 1.919

3     580      log(580) = 2.763

Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)

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Answer:

(4 - 3x) / ( 3x - 4) = -1

(2x + 5)/(5x + 2) = 0

Step-by-step explanation:

Answer:

  2.  Tenths place

Step-by-step explanation:

When you're concerned with the precision of a sum, the final value must be rounded to the precision of the least-precise contributor.

The numbers contributing to this sum are ...

  7.273, with least significant digit in the thousandth's place.

  -12.4, with least significant digit in the tenths place.

The smaller the place value of the least significant digit of a number, the greater the precision it has. The least-precise number will have the largest place value of its least-significant digit.

  tenths > thousandths, so -12.4 has less precision

First of all, we compute the sum as though every contributor were exact. This is especially important when there are more than two contributors. With only two contributors, you get the same result if you round the more precise number first.

  7.273 -12.4 = -5.127 . . . . . preferred method of finding the sum

  7.3 -12.4 = -5.1 . . . . . . . . . . alternate approach for 2 contributors

Finally, we round that sum to the nearest tenth, reflecting the precision of -12.4:

  sum = -5.1

__

Additional comment

As a general rule, this fixation on precision applies to quantities that are measured, estimated, or rounded.

For example, it doesn't make much sense to report a financial value to the penny if one of the contributors has already been rounded to the nearest hundred-thousand dollars. The amount could already be in error by up to $50,000, so precision to the penny is meaningless.

When working many kinds of problems, it can be useful to report answers to the same precision used for the problem values. In some cases, you are told exactly what precision to use for an answer (nearest integer, tenth, or hundredth). Where you are not told, it usually doesn't make much sense to use 6 significant digits for an answer to a problem with values given as one significant digit. However, it can be sensible to report the answer to 2 or 3 significant digits.

__

Here (in this problem), we're concerned with a sum. When you are computing a product or ratio, the rules are different. In those cases, the (least) number of significant digits in the contributors will determine the number of significant digits in the answer. Where mixed arithmetic (products and sums) is involved, the rounding of the final answer will depend on the final operation:

  a(b+c) . . . the final operation is multiplication

  ab +ac . . . the final operation is addition

As with all computation, the intermediate results should be carried to full calculator precision (unless directed otherwise). Only the final answer should be rounded to the necessary precision.

The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.

Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.

Total cost of baking p pizzas with brick oven = A =  p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).

Total cost of  baking p pizzas with electric oven = B =  p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).

B = A - 1 (as using electric oven saves $1 per day, as given)

Thus, we get:

2p + 10 = 0.8p + 20

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Answer:

I believe the answer is 5.

Answer:

UH WHAT???!

Step-by-step explanation:

Answer:

\( \angle 1\)

Step-by-step explanation:

\( \angle 1\) is not congruent to \( \angle 6\)

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation:

sin(-240)°.

=cos(270-240)°

=cos 30°

=√3/2

cos(-240°)

=sin(270°-240°)

=sin30°

=0.5

tan(240°)

=tan(270°-240°)

=tan30°

=1/√3

Answer:

k = 1

Step-by-step explanation:

since 360 = 60² , a perfect square , then

360 × 1 ← is a perfect square

that is 360k with k = 1 is a perfect square

Answer: 3/8

Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.

Answer:

3x + n+6

Step-by-step explanation:

The required expression to represent the situation is; 3n+18

According to the question;

Hence, it follows that, the absolute value of the sum of a number and 6 is; |n + 6|.

Hence, 3 times the absolute value is;

Hence, upon evaluation; the expression is; 3n + 18

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Answer:

Step-by-step explanation:

13-2x=4x+7                                                                                                          -2x+13=4x+7                                                                                                       (-2x+13)+(-13-4x)=(4x+7)+(-13-4x)                                                                        -2x+13-4x-13=4x+7-13-4x                                                                                

-2x-4x+13-13=4x-4x+7-13                                                                                                  -6x=-6                                                                                                               6x/6=6/6                                                                                                                 x=1                                                                                                    

The sum of p and q corresponds to the coefficient of the x-term in the quadratic trinomial. (C)

There is no specific part of the trinomial that equals the sum of p and q. (None)

The part of the quadratic trinomial that will equal the sum of p and q is the coefficient of the x-term.

To see why this is the case, let's expand the given binomials:

\((x + p)(x + q) = x^2 + px + qx + pq = x^2 + (p + q)x + pq\)

From the expansion, we can see that the coefficient of the x-term is p + q, which is the sum of p and q.

Therefore, the answer is C: The coefficient of the x-term.

This makes intuitive sense because when we multiply the binomials, we add the individual terms involving x, which are px and qx.

The sum of these terms, p + q, gives us the coefficient of the x-term in the resulting quadratic trinomial.

It's important to note that the degree refers to the highest power of x in the trinomial, the constant term is the term with no x, and the coefficient of the x-term is the coefficient attached to the x.

In this case, the sum of p and q corresponds to the coefficient of the x-term.

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Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

I= 5,000*0.05*7

I= $1,750

To calculate the future value of the investment, we need to use the following formula:

FV= I + P

FV= 1,750 + 5,000

FV= $6,750

Answer:

Step-by-step explanation:

Let's call the number of lessons attended "x".

Option A: Total cost = $260 + $10x

Option B: Total cost = $30x

We want to find when the two options have the same cost:

$260 + $10x = $30x

Subtracting $10x from both sides:

$260 = $20x

Dividing both sides by $20:

x = 13

Therefore, after attending 13 lessons, the total cost for both options will be the same.

11

Explanation:

Total number of people to attend the dance = 55

Number of slice per person = 1

Number of cakes = 5

To get the number of slices per cake, we will divide total number of people to attend the dance by number of cakes:

The slices per cake you should cut is 11

Answer:

60%

Step-by-step explanation:

To find the percent of the corn she sold, divide the amount by the total, then multiply that by 100.

(150 / 250) x 100

0.6 x 100

= 60

So, Isabelle sold 60% of the corn

1. Convert 2 hours into minutes. 120 minutes

2. 120 ÷ 15

3. The answer to number 2 × 30

4. Put in you answer

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

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

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Step-by-step explanation:

OR.

Answer:

Step-by-step explanation:

s = d/t = 100/2.5

Answer:

x = 1

Step-by-step explanation:

5(2x - 8) + 15 = -15

First, let's move the 15 to the opposite side of the equation. We'll do this by subtracting 15 from BOTH sides of the equation.

5(2x - 8) + 15-15 = -15-15

5(2x-8) + 0 = -30

5(2x-8) = -30

Now let's expand that first term.

5(2x)-5(8) = -30

10x - 40 = -30

Now let's move the -40 to the opposite side of the equation. We'll do this by ADDING 40 to both sides of the equation.

10x - 40 + 40 = -30 + 40

10x -0 = 10

10x = 10

Now to solve for x, we divide BOTH sides by 10 to "isolate the variable" aka get x alone.

10x/10 = 10/10

x = 1

The answer is x = 1.

Let's check if our answer is correct!

Original equation: 5(2x - 8) + 15 = -15

Substitute 1 for x.

5(2*1-8) + 15 =

5(2-8) + 15 =

5(-6) + 15 =

-30 + 15 = -15 >>> which is exactly what we started with! So x is 1.

the answer word be b

I hope this help

9514 1404 393

Answer:

  A) 0

Step-by-step explanation:

The expression can be simplified to ...

  \(\displaystyle\frac{x}{\frac{1}{-1+x}+1}=\frac{x(x-1)}{1+x-1}=x-1\)

The value of this when x=1 is 0.

The limit is zero.

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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The value of x in trapezoid KFGJ is 40.

Given information:

KFGJ is a trapezoid.

KF = 20

JG = x

MN is midsegment of trapezoid KFGJ.

MN = 30

To find the value of x in trapezoid KFGJ, we can use the fact that the midsegment MN of a trapezoid is parallel to the bases and its length is equal to the average of the lengths of the bases.

In this case, MN is given as 30, and we know that KF is one of the bases with a length of 20. To find the length of the other base JG, we can use the formula for the midsegment of a trapezoid:

MN = (KF + JG) / 2

Substituting the given values, we have:

30 = (20 + x) / 2

To solve for x, we can multiply both sides of the equation by 2:

60 = 20 + x

Subtracting 20 from both sides:

x = 60 - 20

x = 40

Therefore, the value of x in trapezoid KFGJ is 40.

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