Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inches. Now they have to decide whether the mean or the median is better. Which measure of center should the team use? Basketball team’s height (in inches) 64, 67, 83, 65, 66, 62, 69

So a tip for these is go through each equation by plugging in the equations in your graphing calculator and going to the table to see which one matches it

So in this situation, none are exact so you have to find the closest, your correct answer comes to d.

Simplifying

7x + -4y = 23

Solving

7x + -4y = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.

7x + -4y + 4y = 23 + 4y

Combine like terms: -4y + 4y = 0

7x + 0 = 23 + 4y

7x = 23 + 4y

Divide each side by '7'.

x = 3.285714286 + 0.5714285714y

Simplifying

x = 3.285714286 + 0.5714285714y

An order pair is a solution to the given equation 7x+4y=-23 if substituting the values of the order pair into the equation makes the equation correct. Using this method it can be determined for instance that (1,-6) is not a solution whereas (-1,-5) is a solution to the equation.

To determine whether an order pair is a solution to the given equation 7x+4y=-23, you'll need to substitute the values of x and y from the order pair into the equation and see if both sides of the equation balance out.

For instance, if your order pair is (1, -6), you would substitute x=1 and y=-6 into the equation. The equation would then become: 7(1) + 4(-6) = -23. Simplifying this, you get 7 - 24 = -23, which is incorrect.

If you were to take the order pair (-1,-5), the equation 7(-1) + 4(-5) = -23 simplifies to -7 - 20 = -23 , which is indeed correct. Therefore, the order pair (-1,-5) is a solution to the given equation.

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4mn + m + 5

Terms: 4mn, m, 5

Answer:

Peter hit 12 home runs, Alice hit 6.

Step-by-step explanation:

If peter hit twice the amount of Alice then you multiply how many she got by 2 and you get 12.

The most general proccedure for this type of problems is the following:

For a quadratic function of the following form [tex]f(x)=x^2+bx+c[/tex]; where b and c are real numbers.

1) Identify the value that accompanies the x, that is, the value "b"

2) Divide the value of b by 2 and then square it: [tex](\frac{b}{2})^2[/tex]

3) Add and subtract in the function the value of  [tex](\frac{b}{2})^2[/tex]

4) Write the complete function of the form [tex]f(x) = (x+\frac{b}{2})^2-(\frac{b}{2} )^2+c[/tex]

For the function presented [tex]f(x)=x^2 +12x+6[/tex] the result is as follows:

1) The value of b is 12

2) [tex](\frac{12}{2} )^2=36[/tex]

3) [tex]f(x)=(x^2+12x+36)-36+6[/tex]

4)[tex]f(x)=(x+6)^2-36+6[/tex]

Finally the function is:

[tex]f(x)=(x + 6)^2-30[/tex]

The zero pair that must be added is 36 and -36

Your answer would be 2048! This is because you multiply 2 by itself 11 times, so 2x2x2x2x2x2x2x2x2x2x2 = 2048!

The equivalent value of the exponential equation is A = 2¹¹ = 2048

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 2¹¹

where the base of the exponential form equation is 2

And , the power of the base is = 11

Now , from the laws of exponents , we get

A = 2¹⁰ x 2

A = 1024 x 2

On simplifying the equation , we get

A = 2048

Therefore , the value of A is 2048

Hence , the exponential equation is solved and A = 2048

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The answer is -17.6

Answer:

y=13+3x

Step-by-step explanation:

The equation y - 3x = 13 can be solved for y as y = 13 + 3x after adding 3x both sides.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

y - 3x = 13

It is required to solve for x

The expression can be defined as the combination of constants and variables with mathematical operators.

Make the subject as y:

Add 3x on both sides:

y - 3x + 3x = 13 + 3x

y = 13 + 3x

Thus, the equation y - 3x = 13 can be solved for y as y = 13 + 3x after adding 3x both sides.

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Answer:

117.775

Step-by-step explanation:

Divide 151 by 200

117.775

To convert the mixed number 117 151/200 to a decimal, divide the numerator by the denominator and we get 0.755.

To write the decimal equivalent of a mixed number like 117 151/200, we first convert the whole number part to a fraction by adding a denominator of 1. So, 117 can be written as 117/1. Then, we find a common denominator for the numerator and denominator of the fraction part, which in this case is 200. When we add the whole number part to the fraction part, we get 117 151/200.

To convert this mixed number to a decimal, we divide the numerator by the denominator. In this case, 151 divided by 200 gives us 0.755.

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To estimate the product of 194 x 476, we round each number to the nearest hundred and multiply. After rounding, the multiplication is 200 x 500, which equals 100,000. This is a reasonable estimate for the multiplication problem.

The subject of this question is Mathematics, and the grade level appears to be Middle School. The student is asking for a reasonable estimate of the product of 194 and 476.

To estimate the product of 194 x 476, we should round each number to a convenient figure before multiplying. Both numbers round to the nearest hundred, with 194 rounding down to 200 and 476 rounding up to 500.

The estimate calculation would therefore be:

When we multiply these rounded figures, we get:

200 x 500 = 100,000

This is a reasonable estimate for the product of 194 x 476.

603*.09=54.27 so add 603+54.27= 657.27

true is the answer to this problem yah yah yah

Zero is neutral because it is not negative or positive so it is neutral

40 is under the number of training hours and the $1700 is under the pay column.

So for 40 hours of training the person would make $1700.

The answer is D.

The answer is h=-2 if you are wondering on how to find that answer negative times a positive equals a negative but negative times a negative equals a positive

you are simply doing 99.5x33% + 99.5

and to save you some time, the answer would be 132.34

By Cross multiplying given equation will become.

3x-15= 2(4x)

3x -15= 8x

subtracting 3x both sides

3x-3x -15 = 8x-3x

-15 = 5x

Dividing 5 both sides

-5= x   answer

Remember to follow the Left -> Right rule.

First, solve 9 - (-6). Remember that two negatives = one positive:

9 - (-6) = 9 + 6 = 15

Now solve:

15 - 12 = 3

3 is your answer

~Rise Above the Ordinary, Senpai

x(2x²+4x-1) is your answer.Hope this helps. :)

Answer:x(2x^2+4x-1)

Step-by-step explanation:

30 ft tall  20 /8 =  2.5 so 12 * 2.5 = 30

[tex]x^2=24\\\\x=\sqrt{24} \vee x=-\sqrt{24}\\\\x=2\sqrt6 \vee x=-2\sqrt6[/tex]

The solutions to the quadratic equation is x = ±2√6

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² = 24

Taking square roots on both sides , we get

√x² = √24

Now , the value of x is

x = ±√24

On simplifying the equation , we get

x = ±2√6

where the two solutions of x are having both positive and negative roots

So , the solutions of equation are

x = +2√6 and x = -2√6

Hence , the solution is x = ±2√6

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[tex]e^{3x}=12\\\\3x=\ln 12\\\\x=\dfrac{\ln 12}{3}\approx0.83\\\\\\[/tex]

Answer:

x=0.83

Step-by-step explanation:

Given: [tex]e^{3x}=12[/tex]

We are given an exponential equation and to solve for x.

[tex]e^{3x}=12[/tex]

Taking ln both sides

[tex]\ln e^{3x}=\ln 12[/tex]

[tex]3x\ln e=\ln 12[/tex]                        [tex]\because ln a^m=m\ln a[/tex]

[tex]3x=\ln 12[/tex]                            [tex]\because \ln e=1[/tex]

[tex]x=\dfrac{\ln 12}{3}[/tex]                   [tex]\text{divides both sides by 3}[/tex]

The exact value of x is [tex]\dfrac{\ln 12}{3}[/tex]    

Using calculator to find ln 12

[tex]x=\dfrac{2.4849}{3}[/tex]

[tex]x=0.8283[/tex]

Hence, The value of x is 0.83

Based on the pattern, with each added table, 3 more people can sit. Now, let's see, how many people can sit when we put 20 tables together.

1. First, count the number of 'extra' tables after the first one. With 20 tables in total, we subtract 1 for the initial table to obtain 19 extra tables.

2. We know that for each extra table, 3 more people can sit. So, we then multiply the 19 extra tables by 3, which results in 57.

3. Recall that with the first table, 5 people could sit.

4. To get the total number of people that can sit, we then add the calculated extra seats, which is 57, to the initial 5 seats. So, 57 + 5 equals 62.

So, when you put 20 tables together, 62 people can sit according to the pattern we have noticed.

7x + 4 = 12

7x = 12-4

7x = 8

x = 7/8

[tex]Solution, solve\:for\:x,\:\frac{3x-15}{2}=4x\quad :\quad x=-3[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2, \frac{3x-15}{2}\cdot \:2=4x\cdot \:2[/tex]

[tex]Refine, 3x-15=8x[/tex]

[tex]\mathrm{Add\:}15\mathrm{\:to\:both\:sides}, 3x-15+15=8x+15[/tex]

[tex]\mathrm{Simplify}, 3x=8x+15[/tex]

[tex]\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}, 3x-8x=8x+15-8x[/tex]

[tex]\mathrm{Simplify}, -5x=15[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5, \frac{-5x}{-5}=\frac{15}{-5}[/tex]

[tex]\mathrm{Simplify}, x=-3[/tex]

The correct answer is C. -3

Hope this helps!!!