Your science teacher recently gave a quiz to 28 students present in class. The class average was an 82.5. Five students that were absent made up the quiz after schoolamd their scores were a 78, 89,92,,99, & 63. Find the new class average with the newscores

Answer: 12/15 = 0.8

Step-by-step explanation: There are 12 donuts and 15 teachers, just divide the amount of donuts by the amount of teachers. Hope that helps.

Answer:

Since they are 11 spaces for bicylces and the playground has as many spaces for bicycles then we use this equation 3 x 11 = 33  to find the total number of bicycles spaces on the rack by the playground.

D.

If you look at the circle the point O is most is obviously in the center .

Answer:

D) Point O is the center.

Step-by-step explanation:

Given : Circle.

To find : Which point represents the center of the circle below.

Solution : We have given Circle.

The center of a circle is the point which is equidistant from all points on the circle.

Point O is equidistant from point R and S and A.

So, Center of the circle is O.

Therefore, D) Point O is the center.

11.

6x-3y=18

-3y=-6x+18

y = (-6x +18)/-3

y = 2x - 6

12.

-3x-7y=14

-7y=3x+14

y=(-3/7)x - 2

Answer:

[tex]\large\boxed{Q10.\ y=2x-6}\\\boxed{Q12.\ y=-\dfrac{3}{7}x-2}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

Q 10.

[tex]6x-3y=18[/tex]       subtract 6x from both sides

[tex]6x-6x-3y=-6x+18[/tex]

[tex]-3y=-6x+18[/tex]          divide both sides by (-3)

[tex]\dfrac{-3y}{-3}=\dfrac{-6}{-3}x+\dfrac{18}{-3}\\\\y=2x-6[/tex]

Q 12.

[tex]-3x-7y=14[/tex]            add 3x to both sides

[tex]-3x+3x-7y=3x+14[/tex]

[tex]-7y=3x+14[/tex]            divide both sides by (-7)

[tex]\dfrac{-7y}{-7}=\dfrac{3}{-7}x+\dfrac{14}{-7}\\\\y=-\dfrac{3}{7}x-2[/tex]

17. 1lb is the better deal

18. about $17

19. 1.5lbs I think

20. 7000lbs

Answer:

y + 4 = 4(x-4)

Step-by-step explanation:

Use the point slope form of a line to write the equation by substituting m = 4 and the point (4,-4).

[tex]y - y_1 = m(x-x_1)\\y --4=4(x-4)\\y + 4 = 4(x-4)[/tex]

Answer:

At = 27.225 ft2

Step-by-step explanation:

Hello

The triangle area is:

At = (b*h)/2

At = (9.9*5.5)/2

At = 27.225 ft2

Best regards

you would show the long division

Answer:

u can use long division

Step-by-step explanation:

10788 divided by 31 is 348 because

31 cant go into 1 so do it again

31 cant go into 10 so again

31 can go into 107 3 times leaving 14

add the 14 to 8 and so on

Answer:36.80

Step-by-step explanation:

15% of 32 is 4.8 so add that

To find the total bill for Brady and his friends at Mazzio's Pizza, including a 15% tip on a $32 meal, you calculate the tip as $4.80. Adding the tip to the original cost gives a total bill of $36.80.

Brady and his friends' meal at Mazzio's Pizza cost $32, and they want to leave a 15% tip. To calculate the tip amount, convert the percentage to a decimal form by dividing by 100 (15% becomes 0.15), and then multiply by the cost of the meal.

This results in $32 × 0.15 = $4.80. With the added tip, the total bill becomes $32 (meal cost) + $4.80 (tip) = $36.80. So, the total bill including the tip is $36.80.

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Answer:

4/6, 6/9, 8/12, 10/15

A fraction that is equivalent to [tex]\frac{2}{3}[/tex] is [tex]\frac{20}{30}[/tex]

Although these fractions have different numerators and denominators, they still have the same value because they equal each other.

118,437 stickers. Trust me. I am REALLY good at math.

Answer:

A

Step-by-step explanation:

y = 4 is a horizontal line parallel to the x- axis with a slope of zero

A line perpendicular to it is a vertical line parallel to the y- axis

The equation of a vertical line is x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, 1) with x- coordinate - 2, hence

x = - 2 ← equation of perpendicular line → A

Answer:

A. [tex]x=-2[/tex]

Step-by-step explanation:

We are asked to find the equation that is perpendicular to line [tex]y=4[/tex] and passes through the point [tex](-2,1)[/tex].

We can see that our given equation is a horizontal line, which crosses y-axis at point [tex](0,4)[/tex].

Every vertical line is perpendicular to a horizontal line. We know that equation of a vertical line is in form [tex]x=a[/tex], which crosses x-axis at point [tex](a,0)[/tex].

Since we need to find the equation that passes through point [tex](-2,1)[/tex], so our required equation will pass x-axis at [tex]-2[/tex].

Therefore, our required equation would be [tex]x=-2[/tex] and option A is the correct choice.

Answer:

option (a)

(a³-b³)^1/4

Step-by-step explanation:

Given in the question an expression

4√a³-b³

To find,

this expression without radicals

There is another way to represent the taking of a root. You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. a√x = (x)1/a

Example

√a = a^1/2

∛a = a^1/3

You want to find out what a is.

7a / 10 = 77 / 60

Put your equation into the form Ax = B, where x = a

You can multiply both sides by 10 to get rid of the denominator.

7a / 10 * 10 = 77 / 60 * 10

7a = 77 / 6

Put your equation into the form x = B, where x = a

You can get a on it's own by dividing both sides by 7.

7a ÷ 7 = 77 / 6 ÷ 7

a = 77 / 6 ÷ 7

When dividing fractions:

Convert 7 to a fraction: [tex]\frac{7}{1}[/tex]

Flip the second fraction and multiply.

[tex]\frac{77}{6}[/tex]*[tex]\frac{1}{7}[/tex]=[tex]\frac{77}{42}[/tex]

a = 77 / 42

Simplify the fraction by dividing be a common factor - 7.

77 ÷ 7 = 11

42 ÷ 7 = 6

The value of a is 11/6

see the image

Answer:

  see attached

Step-by-step explanation:

A graphing calculator can easily show you a graph of these equations. (see attached)

__

If you want to graph them by hand, it is convenient to make use of the x- and y-intercepts. For an equation in standard form each of the intercepts is found by dividing the constant by the coefficient of the variable

  ax +by = c . . . . . . equation of a line

  x-intercept: c/a

  y-intercept: c/b

__

For the first equation, the intercepts are ...

  x-intercept: 6/3 = 2, point (2, 0)

  y-intercept: 6/1 = 6, point (0, 6)

For the second equation, the intercepts are ...

  x-intercept: 12/-3 = -4, point (-4, 0)

  y-intercept: 12/-4 = -3, point (0, -3)

In each case, the line can be drawn through the plotted intercept points.

Answer:

1

Step-by-step explanation:

Binomial theorem is describing the expansion of powers of the term (a + b)^n

Obviously if n = 0, a + b = 1

So the first term is 1.

Answer:

  0.3

Step-by-step explanation:

The margin of error is calculated as ...

  (standard deviation)/√(sample size) × (z*-score)

where the z*-score is chosen based on the desired confidence level.

Here, you have ...

Putting these values in the above expression for margin of error gives ...

  2.7/15·1.645 = 0.2961 ≈ 0.3

Answer:

0.3.

between 20.3 and 20.9

Step-by-step explanation:

Answer:

$71 dollars

Step-by-step explanation:

What you have to do is do 14.50 times 2 to get 29.

Then 7.50 times 4 to get 30.

You will then add 29+30+12=$71 dollars.

Answer:

(14.5+14.5+12+7.5+7.5+7.5+7.5 )= 71

71/7 = 10$

Answer: 13/1, 195/15, 130/10

Step-by-step explanation: The easiest way to solve this problem is to work your way though each of the options. 13/1 is the original reduced by 5, 195/5 is both multiplied by 3 and 130/15 is both multiplied by 2. The other two options do not have a way to multiply or divide them to get the original number.

Answer:

Step-by-step explanation:

65/5 is reduceable to 13/1.  So is 195/15.  So is 130/10.  All of these ratios are proportional to 13/1.

Answer:

The equation of the line of best fit is y = (-9/7)x + 13.

Step-by-step explanation:

The y-intercept of this straight line is (0, 13); we could also say that b = 13.

Two points on the graph are (0, 13) and (7, 4).  As we go from x = 0 to x = 7, x increases by 7; at the same time, y decreases by 9.  

From this observation, we can easily calculate the slope of this line:

m = rise / run = -9/7.

Then the equation of the line of best fit is y = (-9/7)x + 13.

The equation which represents the line that best fits the given data points is [tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

Certainly! Let's go through the steps to find the equation of the line using the points (0, 15) and (10, 0).

1. Calculate the Slope [tex](\(m\))[/tex]:

The slope of a line [tex](\(m\))[/tex] is given by the formula:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

Using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex]:

[tex]\[ m = \frac{0 - 15}{10 - 0} \][/tex]

[tex]\[ m = \frac{-15}{10} \][/tex]

[tex]\[ m = -\frac{15}{10} \][/tex]

This can be simplified further by dividing the numerator and denominator by 5:

[tex]\[ m = -\frac{3}{2} \][/tex]

So, the slope[tex](\(m\))[/tex] is [tex]\(-\frac{3}{2}\).[/tex]

2. Find the Y-Intercept [tex](\(b\))[/tex]:

The y-intercept [tex](\(b\))[/tex] is the y-value when (x = 0). We are given the point [tex]\((0, 15)\),[/tex] so the y-intercept is 15.

3. Write the Equation of the Line:

The equation of a line is in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept.

Now we substitute the slope [tex]\(-\frac{3}{2}\)[/tex] for (m) and the y-intercept 15 for (b) in the equation (y = mx + b):

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

So, the equation of the line of best fit in slope-intercept form using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex] is:

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

This equation represents the line that best fits the given data points.

Question

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 15 and 0.5, 14 and 1, 13 and 2, 12 and 3, 11 and 4, 9 and 5, 8 and 6, 6 and 7, 4.5 and 8, 2.3 and 9, 2 and 9.8, 0.5 are shown on the graph. A straight line joins the ordered pairs 0, 15 and 10, 0. What is the approximate equation of this line of best fit in slope-intercept form?

I think the answer is (C)?

Answer:

C

Step-by-step explanation:

The area (A) of a circle is calculated using the formula

A = πr² ← r is the radius = 17.5

A = π × 17.5² = π × 306.25 ≈ 962 m² → C

Answer:

? = 10

Step-by-step explanation:

26 - 4 = 12 + ?

22 = 12 + ?

10 = ?

Answer:

10

Step-by-step explanation:

Let the missing number be x.

Then,

26 - 4 = 12 + x

12 + x = 22

x + 12 - 12 = 22 - 12 ( subtract 12 from both sides to single x in LHS)

x        = 10

∴ the missing number is 10.

Hope this helped you :)

The perimeter is the total outside dimensions.

There are 2 sides that are 8 inches and 2 sides that are 5 inches.

Perimeter = 8+8+5+5 = 26 inches.

The required perimeter of the rectangle is 26 inches

A rectangle is a four sided quadrilateral, having all the internal angles equal to 90 degrees and opposite sides are equal and parallel.

A perimeter of a figure is the sum of all the sides that bounds the figure.

In the given problem,

∴ Perimeter of the rectangle = 2(8 + 5) inches

                                               =  26 inches

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Answer:

X= 2  Y= -1

Step-by-step explanation:

First we find the average out of the total. 11÷54=0.20 this is the percentage wanting to attend. now we times this number by the total number of football players. 810 X 0.20 equals 165. your answer is C.

ANSWER

k=-9

EXPLANATION

The given function is

[tex]h(x) = {x}^{2} + 3[/tex]

and

[tex]g(x) = {x}^{2} - 6[/tex]

We want to rewrite g(x) in terms of f(x).

[tex] {x}^{2} - 6 = {x}^{2} + 3 + - 9[/tex]

This implies that,

[tex]g(x) = h(x) + - 9[/tex]

When we compare, we realize that

[tex]k = - 9[/tex]

Answer:

C.

Step-by-step explanation:

You have to find the area by doing b×h=a.

Answer:

A. Hope this helps.