What are the Terms for 8x+6

Answer:

237

Step-by-step explanation:

This is a system of equations.

The theater sold 364 adult and child tickets, so a + c = 364

They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.

Let's line them up

a  +  c = 364

6a + 4c = 1930

Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:

-4a - 4c = -1456

6a + 4c = 1930            Add them together

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

2a = 474                      Divide by 2 to solve for a

a = 237

There were 237 adult tickets sold

Answer:

30% increase

Step-by-step explanation:

percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = $35.10 - $27 = $8.10 , then

percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%

Answer:

Step-by-step explanation:

step 1:       35.10-27 =8.1

step 2:       8.1/27 x 100 = 30%

so therefore = 30% increase

Answer:

I think its Distributive Property

Step-by-step explanation:

Hope this helped

Answer:

The axis of symmetry and vertex would be none, because the function is not a conic section. For a function to have an axis of symmetry or vertex, it has to be a conic section. To make a conic section, there must be a point intersecting with the plane / right circular cone, such as a circle or parabola.

Answer:

1244 DCD

Step-by-step explanation:

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.

Applying the Pythagorean theorem, the exact values of x are:

1. x = 13      2. x = 4      3. x = 6     4. x = 8   5. x = 15    6. x = √7

If a and b are smaller sides (legs) of a right triangle, and c is the longest side (hypotenuse), the Pythagorean theorem states that:

c = √(a² + b²).

Apply the Pythagorean theorem to find the exact value of x:

1. x = √(12² + 5²)

x = 13

2. x = √(5² - 3²)

x = 4

3. x = √(10² - 8²)

x = 6

4. x = √(17² - 15²)

x = 8

5. x = √(12² + 9²)

x = 15

6. x = √(4² - 3²)

x = √7

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Answer: E & B

Step-by-step explanation:

Answer:

C- 4/5 cups

Step-by-step explanation:

Answer:

The complete question seems to be:

A doctor sees between 7 and 12 patients each day.

On Mondays and Tuesdays, the appointment times are 15 minutes.

On Wednesdays and Thursdays, they are 30 minutes.

On Fridays, they are one hour long.

The doctor works for no more than 8 hours a day.

Here are some inequalities that represent this situation.

0.25 ≤ y ≤ 1

7 ≤ x ≤ 12

xy ≤ 8

What represents each variable?

7 ≤ x ≤ 12

We know that the doctor sees between 7 and 12 patients each day, and the smallest value of x is 7, and the largest is 12, then x must represent the number of patients that the doctors see in a given day.

0.25 ≤ y ≤ 1

now,

On Mondays and Tuesdays, each appointment is 15 minutes long.

An hour has 60 minutes.

Then 15 minutes = 15/60 hours = 0.25 hours.

On Wednesdays and Thursdays, they are 30 minutes.

30 minutes = 30/60 hours = 0.5 hours.

Then the possible value of the time for each appointment are {0.25, 0.5, 1}

Then the variable y must represent the time that each appointment takes.

xy ≤ 8

We know that:

x =  number of patients in a given day.

y = time that the appointment takes in a given day.

x*y = total number of hours that he works in that given day.

and we know that he works, at maximum, 8 hours.

then the inequality xy ≤ 8 has sense.

Answer:

Retail price = $5.20

Percentage of mark up price = 30%

Step-by-step explanation:

Company sells $4.00 each wholesale.

Now the local store which is the retailer has a markup of $1.20.

This means that the retail price is;

Retail price = wholesale price + mark up = $4.00 + $1.20

Retail price = $5.20

To find the percentage of the markup, it is the fraction of the wholesale price multiplied by 100%.

Thus;

Percentage of Markup is;

1.2/4 × 100% = 30%

Answer:

a

   The  90%  confidence interval is  \(52561.13 < \mu < 57540.8\)

b

Confidence interval for the population men between $52561.13  up to $57540.8

Step-by-step explanation:

From the question we are told that

   The sample size is  \(n = 25\)

     The  sample mean is  \(\= x = \$ 55,051\)

     The standard deviation is  \(\sigma = \$ 7,568\)

Given that the confidence level is  90% then the level of confidence is mathematically represented as

             \(\alpha = 100 -90\)

              \(\alpha = 10\%\)

             \(\alpha = 0.10\)

Next we obtain the critical value of \(\frac{\alpha }{2}\) from the normal distribution table the values is  

               \(Z_{\frac{\alpha }{2} } = 1.645\)

Generally the margin of error is mathematically  represented as

               \(E = Z_{\frac{ \alpha }{2} } * \frac{ \sigma }{\sqrt{n} }\)

substituting values

               \(E = 1.645 * \frac{ 7568}{ \sqrt{ 25} }\)

             \(E = 2489.9\)

The 90% confidence interval is mathematically evaluated as

       \(\= x -E < \mu < \= x +E\)

substituting values

     \(55051 - 2489.8 < \mu < 55051 + 2489.8\)

     \(52561.13 < \mu < 57540.8\)

Answer:

96 slices

Step-by-step explanation:

60 divided by 5 is 12 and 12 times 8 is 96  

hope this helps ;)

Everything else is being equal, but we prefer an unbiased estimator mostly compare to a biased estimator because a biased estimator may be used for a variety of reasons, such as the difficulty of computing an unbiased estimator (as in the case of estimating standard deviation).

The fact that a biased estimator may be unbiased with respect to different measures, and the fact that an unbiased estimator does not exist without further assumptions about a population. Thus, it's miles scientifically now no longer accurate to apply a biased estimator for a parameter while there may be an independent estimator for it.

Only in unavoidable situation, it's miles cautioned to apply a biased estimator (which need to be consistent) for a parameter while there may be no independent estimator for it. It could be anticipated that a terrific estimator need to bring about an estimate this is near the real cost of the parameter. Because in exercise the parameters are unknown, it isn't always viable to evaluate the estimate with the real cost. Unbiasedness serves as a degree of closeness among an estimator and the parameter.

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ANSWER:

1st option: Yes, (2, 7) is a solution of the system

STEP-BY-STEP EXPLANATION:

We have the following system of inequalities:

We substitute in each inequality the values of x = 2 and y = 7 if the inequality is fulfilled in both cases if it is a solution of the system, otherwise, it would not be a solution.

We check it like this:

Therefore, the correct answer is the 1st option: Yes, (2, 7) is a solution of the system

The volume of the cylindrical shaped pool with water is V = 75.4 feet³

Given data ,

Let the diameter of the pool be d = 8 feet

So , radius r = 4 feet

And , the height of the cylindrical pool is h = 3 feet

Now , the water is half full

So , Volume of Cylindrical pool is V = ( 1/2 ) πr²h

V = ( 1/2 ) ( 3.14 ) ( 4 )² ( 3 )

On simplifying , we get

V = 75.4 feet³

Hence , the amount of water in pool is V = 75.4 feet³

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Answer:

1.) 85+ (-10) = 95 is false.

2.)  5x+7 = 17 is false.

3.) -8(-2) - 7 = 14 – 5 is false.

Step-by-step explanation:

1. is false because since 85 ≠ 95, then 85 + ( - 10) = 95 is false.

2. is false because since 12 ≠ 17, then 5x + 7 = 17 is false.

3. is false because since -15 ≠ 14, then -8( - 2) - 7 = 14–5 is false.

Answer:

A.

SAT score = 1060

ACT score = 23.2

B.

ACT score = 36.3

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

SAT:

\(\mu = 999, \sigma = 199\)

If a student gets an SAT score that is the 62-percentile, find the actual SAT score.

This is X when Z has a pvalue of 0.62. So X when Z = 0.305.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.305 = \frac{X - 999}{199}\)

\(X - 999 = 0.305*199\)

\(X = 1059.7\)

Rounding to the nearest whole number.

SAT score = 1060

ACT:

\(\mu = 21.6, \sigma = 5.2\)

The equivalent score is X when Z = 0.305.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.305 = \frac{X - 21.6}{5.2}\)

\(X - 21.6 = 0.305*5.2\)

\(X = 23.19\)

So

ACT score = 23.2

B. If a student gets an SAT score of 1563, find the equivalent ACT score

Z-score for the SAT score.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1563 - 999}{199}\)

\(Z = 2.83\)

Equivalent ACT:

\(Z = \frac{X - \mu}{\sigma}\)

\(2.83 = \frac{X - 21.6}{5.2}\)

\(X - 21.6 = 2.83*5.2\)

\(X = 36.3\)

ACT score = 36.3

Answer:

5 and 3/5

Step-by-step explanation:

For this problem, they are asking that we basically sum up the total amount of reading time on Saturday and Sunday. Saturday's reading time is 2 and 2/5, while Sunday's reading time is 3 and 1/5. Add them together to get 5 and 3/5.

Answer:

(7) The value of -j is 9.

(8) The value of -(-j) is -9.

(9) The value of (-j)(-j) is 81.

Step-by-step explanation :

Part 7:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j).

-j = - (-9) = 9

The value of -j is 9.

Part 8:

Given algebraic expression is:

j = -9

Now we have to determine the value of -(-j).

- (-j) = - [-(-9)] = -9

The value of -(-j) is -9.

Part 9:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j)(-j).

(-j)(-j) = [- (-9)] ×  [- (-9)] = 9 × 9 = 81

The value of (-j)(-j) is 81.

Answer:

Because it is a regular polygon, the sum of all exterior angles is equal to 360 degrees (one revolution). If each side has an exterior angle of 40 degrees, we simply divide 360 by 40 to get 9.

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

A (6,1)

B (12,2)

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

1/6

\(\huge\boxed{\textsf{a.)}\ 10}\)

Substitute \(\frac{1}{2}\) for \(x\).

\(f\left(\frac{1}{2}\right)=5\cdot4^\frac{1}{2}\)

Use \(a^\frac{m}{n}=\sqrt[n]{a^m}\).

\(\begin{aligned}f\left(\frac{1}{2}\right)&=5\cdot\sqrt[2]{4^1}\\&=5\cdot\sqrt[2]{4}\\&=5\cdot2\\&=\boxed{10}\end{aligned}\)

Hello

2/7 = 2x5/7x5 = 10/35

10/35 > 6/35

=> 2/7 > 6/35

Answer:

(3xy - 1)/3x = b

Step-by-step explanation:

make b the subject of formula

then simply it

did you get it

Answer:

b=Y-x/3

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

have a great day and thx for your inquiry :)

Answer:

10 ....................

In general, there were more people per table on Tuesday with 8 number of people per table.

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

By critically observing the given dot plots which is used to illustrate the numbers of people per table at a bingo hall on two nights, we can reasonably infer and logically deduce that there were more people per table on Tuesday than on Wednesday.

In conclusion, there were 8 number of people per table on Tuesday while there were 5 number of people per table on Wednesday.

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Answer:

Step-by-step explanation:

I’m pretty sure it’s seats. If it isn’t that then it’s prolly seat width. Sorry if it’s wring I’m doing the quiz too

Answer:

Seats

Step-by-step explanation: