Question 1 of 10
Find the quotient and enter your answer in the space provided.
6.264 0.18 = ?

The size of the angle m∠PRQ for the polygon is equal to 15°

To calculate the sum of interior angles of a polygon, you can use the following formula:

Sum of interior angles = (n-2) x 180 degrees

Where "n" represents the number of sides (or vertices) of the polygon.

Given the 12 sided polygon;

(12 - 2) × 180 = 1800

one interior angle = 1800/12 = 150°

The angle PQR is a base angle of the Isosceles triangle ∆PQR with one interior angle of the 12-sided polygon so;

m∠PRQ = (180 - 150)/2

m∠PRQ = 15°.

Therefore, the size of the angle m∠PRQ for the polygon is equal to 15°

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Answer:

C. 120 students

Step-by-step explanation:

10 + 15 + 20 +30 = 75%

100 - 75 = 25%

25% chose football which is 100 students

30% chose swimming

setup proportion:

25/100 = 30/x

25x = 100(30)

25x = 3000

x  = 120

The perimeter of shape B would be = 173.5in

To calculate the perimeter, the formula for scale factor should be used and it's given as follows;

Scale factor = perimeter a/perimeter b

The perimeter of shape a = 144 in

The perimeter of shape b = ?

The scale factor used for both shapes = 5/6 = 0.83

That is; 0.83 = 144/b

make b the subject of formula;

b = 144/0.83

= 173.5 in

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Answer:

S=3

Step-by-step explanation:

first slove 11-3  following pemdas

you get 8 so what can you multiply by 8 to get 24

s will = 3

s=3

3×8=24

3(11-3)=24

The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer: length is 33ft

Step-by-step explanation:

Perimeter = length x2 + width x2 (add all sides of a rectangle)

width = 15ft

15 x 2 = 30 ft

86ft - 30 ft = 66 ft

66/2 = length of 1 side = 33 ft

Answer: The is x=8

                          y=6

Step-by-step explanation: i took the test

The graph is in the image uploaded.

Given equation:

y = 3x

compare this with standard equation y =mx+b

slope m = 3

y intercept b = 0

so the point (0,0)

Table:

x         y

0        0

-1       -3

-2      -6

Graphing with above table.

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When f = -4, g = 5, and h = 3/4, the value of the expression -8h - 2(5 + f³) + 7g² is 287.

To find the value of the expression -8h - 2(5 + f³) + 7g² when f = -4, g = 5, and h = 3/4, we substitute these values into the expression and simplify step by step.

Let's begin with the given expression:

-8h - 2(5 + f³) + 7g²

Substituting f = -4, g = 5, and h = 3/4, we have:

-8(3/4) - 2(5 + (-4)³) + 7(5)²

Simplifying further:

-6 - 2(5 + (-4)³) + 7(25)

Now, let's simplify the terms inside the parentheses:

-6 - 2(5 + (-4)³) + 175

Inside the parentheses, (-4)³ equals -64:

-6 - 2(5 - 64) + 175

Continuing to simplify:

-6 - 2(-59) + 175

Multiplying -2 by -59 gives us 118:

-6 + 118 + 175

Now, we can add the numbers together:

112 + 175

The sum is:

287

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The probability in each case scenario as described in the task content are as follows;

a) P(a) = 7/16

b) P(b) = 7/16

c) P(c) = 7/16

d) P(d) = 7/16

Given: There are 14 freshmen and 18 sophomore students and the students were selected with replacement.

a) The required probability that the 2nd student is also a freshman if the first student was a freshman since the selection is with replacement is simply;

P(a) = 14/32 = 7/16.

b) The probability that the 2nd student was a

freshman if the first student was a sophomore is;

P(b) = 14/32 = 7/16.

c). The required probability that the 2nd student is also a freshman if the first student was a freshman since the selection is with replacement is simply;

P(c) = 14/32 = 7/16.

d) The probability that the 2nd student was a

freshman if the first student was a sophomore is;

P(d) = 14/32 = 7/16.

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Answer:

no

Step-by-step explanation:

5(x - 1) = 5x - 5

5x - 1 = 5x - 1

No, it is not equivalent

The required, 5(x - 1) and 5x - 1 are not equivalent expressions.

Let's expand 5(x - 1):

5(x - 1) = 5 * x + 5 * (-1) = 5x - 5

On the other hand, 5x - 1 is already in its simplified form.

As you can see, the expressions 5(x - 1) and 5x - 1 have different forms. The first expression involves distributing the 5 to both terms inside the parentheses, while the second expression is already simplified and cannot be further combined.

For example, if we substitute x = 2 into both expressions, we get:

5(2 - 1) = 5 * 1 = 5

5 * 2 - 1 = 10 - 1 = 9

Since 5 and 9 are not equal, it confirms that the two expressions are not equivalent.

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Answer:

It would be C or 56.70

Answer:

1. 50°

2.135

3.20°

4.45°

Step-by-step explanation:

1. A right angle adds up to 90 degrees adding that with 40 degrees you get 130. When you subtract the with 180 because a triangle add up to 180 you get 50°. 90+40=130 180-130=50 (might be better in column method.)

2.Add both 20 and 25 to get 45 and subtract your answer with 180 because triangles add up to 180. 20+25=45 180-45=135(might be better in column method)

3.Add 130 and 30 to get 160. Subtract 180 by your answer and get 20.

130+30=160 180-160=20(might be better in column method)

4. Add 95+40 and subtract your answer by 180. 180 subtracted by 135 is 45.

95+40=135 180-135=45(might be better in column method)

Answer: y=3x-8, y=5x-8, and y=2x-8

Step-by-step explanation:

These equations are all lines in slope-intercept form (y=mx+b where b is the y-intercept). y=3x-8, y=5x-8, and y=2x-8 all have -8 as the b value. Therefore, these equations have the same y-intercept.

Answer:

3rd one

Step-by-step explanation:

12

Answer:

It should be -7/10

Answer:  The answer is -7/10 :)

Step-by-step explanation:

-1/2-1/5=-7/10

89 Step-by-step explanation: 12+-3 = 6

Answer: 5,120

Step-by-step explanation:

Your equation is:

v(t) = 320 • 4^t

You are trying to find v(2) so:

t = 2

Plug in 2 for t:

v(2) = 320 • 4²

Solve:

v(2) = 5,120 views

Hope this helps! :)

Answer:

Step-by-step explanation:

the donkey eats 3/5 of hay bale a week

3/5 x 2 = 6

the donkey eats 6 hay bales in 10 weeks

The amount of bales the donkey eats in 10 weeks is 6 bales.

Given,

A donkey eats three-fifths of a hay bale a week.

We need to find out how many bales he eats in 10 weeks.

Example:

2 miles in 1 hour

2 miles = 1 hour

To find miles in 4 hours we multiply both sides by 4.

4 x 2 miles = 4 x 1 hour

8 miles = 4 hours

We have,

Donkey eats:

3/5 bales = 1 week ____(1)

In 10 weeks:

Multiply 10 on both sides of (1)

10 x 3/5 bales = 10 x 1 week

6 bales = 10 weeks

Thus the amount of bales the donkey eats in 10 weeks is 6 bales.

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Answer:

1.64

Step-by-step explanation:

The first step to do is to line up the decimal points. We have to add a zero to 0.8 so that the decimal points will align (this does not change the value).

 0.84

+0.80

Then bring down the decimal point into the answer column, and add like normal.

 0.84

+0.80

  1.64

Hope this helps!

Answer:

the ratio of distance descended over time

Step-by-step explanation:

Rudy has 3003 different ways to choose 6 toppings from a menu of 14 toppings if each topping can only be chosen once.

The number of ways to choose 6 toppings from a menu of 14 toppings where each topping can only be chosen once is 14!/(14-6)! = 14!/(8!) = 3003. This is because for the first topping, Rudy has 14 options, for the second topping he has 13 options, for the third topping he has 12 options, and so on. To calculate the total number of combinations, we use the formula n!/(n-r)! where n is the number of items and r is the number of items to choose. This formula gives us the number of ways to choose r items from a set of n items without regard to order, which is the number of combinations.

The formula for combinations is given by n!/(n-r)! where n is the number of items and r is the number of items to choose. Here, n = 14 (the number of toppings on the menu) and r = 6 (the number of toppings Rudy wants to choose). So, the number of combinations is 14!/(14-6)! = 14!/(8!).

The factorial (!) is the product of all positive integers up to that number. For example, 4! = 4 x 3 x 2 x 1 = 24.

So, 14! = 14 x 13 x 12 x ... x 2 x 1 = 87178291199, and 8! = 8 x 7 x 6 x ... x 2 x 1 = 40320.

Now, to calculate the number of combinations, we divide 14! by 8!: 14!/(8!) = 87178291199/40320 = 3003.

Therefore, Rudy has 3003 different ways to choose 6 toppings from a menu of 14 toppings if each topping can only be chosen once.

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Answer:

x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.

Step-by-step explanation:

5x <= 15

Next, we'll solve for x by dividing both sides by 5:

x <= 3

So, the possible values for the number are any value less than or equal to 3, including negative numbers.

x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.

Answer:

58°

Step-by-step explanation:

Answer:

40 y^4 unit sq.

Step-by-step explanation:

Area of a rectangle = length x breadth

                                =  5y^2 x 8y^3

                                = 40 y^5 unit sq.    [Exponents get added when multiplied]

Answer:

if f(x)=x+4

f(2)=2+4=6 is your answer

Step-by-step explanation:

Area of a circle = pi x r(squared)

= 3.14 x (15)2

= 3.14 x 225

=706.5cm2