For a certain spinner, if we expect to win a prize four times in sixty tries, what is the theoretical probability of winning a prize?

Answer:

20%

Step-by-step explanation:

We can say that 3/15 students usually go to bed at 9 P.M. We can set up a proportion to solve this problem.

3/15=x/100

We cross multiply to find x

15x=300

Divide both sides by 15

x=20

So 20% of the classmates usually sleep at 9 P.M.

Answer:

20% of the students

Step-by-step explanation:

Answer:

-19.322

Step-by-step explanation:

− a + ( − b ) −a+(−b)

First step is to combine like terms

-a -a + -b + -b

-2a -2b

We know a = 6.05 and b = 3.611

-2 (6.05)  -2(3.611)

-12.1 - 7.222

-19.322

Answer:

Step-by-step explanation:-9.661

Answer:

3030.033

Step-by-step explanation:

Multiply each piece out and add them together

3 X 1,000 + 3 X 10 + 3 X 1/100 + 3 in X 1/1000

3000 + 30+.03 + .003

3030.033

Answer:

Part to whole ratio

Step-by-step explanation:

The 1 represents the blueberry bagels. This is just a part of the entire variety that is offered, so this is a part.

The 4 represents all of the bagels. It is the whole amount, which makes this the whole.

This means it is a part to whole ratio.

Answer:

y = - 3

Step-by-step explanation:

Providing you mean (y - 9)/(y + 3) then it is always the variable in the denominator that is going to cause trouble. If it equals zero at any point, it's game over.

It's a little better if you get a result like 0/0. That problem has a "depends" as an answer, but by and large, you don't want to monkey around with 0 in the bottom of a fraction.

y + 3 = 0            Subtract 3 from both sides.

y + 3 - 3 = 0 - 3  Combine

y = - 3

Answer:

48x² + 96x - 252  

Step-by-step explanation:

    (4x - 6) × 6(2x + 7)    Reorder the factors

= 6(4x – 6)(2x+ 7)          Multiply the binomials

= 6(8x² + 16x - 42)         Remove parentheses

= 48x² + 96x - 252

ΔABC and ΔFEG are congruent. Therefore we have the equation:

7x - 19 = 2x + 11      add 19 to both sides

7x = 2x + 30     subtract 2x from both sides

5x = 30     divide both sides by 5

x = 6

AB = 24

AC = 2x + 11 → AC = 2(6) + 11 = 12 + 11 = 23

BC = 6x - 8 → BC = 6(6) - 8 = 36 - 8 = 28

The perimeter of ΔABC = 24 + 23 + 28 = 75

Answer to your question:

f(x)= 12x

Answer:

f(x)=12 Hope this helps you!

Answer:

reeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

The equation would be y = -4/7x - 1

Step-by-step explanation:

Given that we have the slope and the point, we can solve for the equation using point-slope form.

y - y1 = m(x - x1)

y + 5 = -4/7(x - 7)

y + 5 = -4/7x + 4

y = -4/7x - 1

The equation that represents a line that passes through the point (7,-5) and has a slope of -4/7 is,

⇒ 7y = - 4x - 7

The equation of a line in point-slope form passing through the point

(x₁ , y₁) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Given that,

The equation of line passes through the point (7,-5) and has a slope of -4/7.

Here we have,

[tex](x_1 , y_1) = (7, - 5)[/tex]

And, [tex]m = \frac{- 4}{7}[/tex]

Substitute the given values in the above equation,

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

[tex]y - (- 5) = \frac{-4}{7} (x - 7)[/tex]

[tex]y + 5 = \frac{-4}{7} (x - 7)[/tex]

Multiply by 7 on both sides,

[tex]7 (y + 5) = - 4 (x - 7)\\7y + 35 = - 4x + 28\\ 7y =- 4x 28 - 35\\ 7y = - 4x- 7\\[/tex]

So, the equation of a line is,

7y = - 4x - 7

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Answer:

3

Step-by-step explanation:

Count 1 to 5 (1,2,3,4,5). You can see 3 is between 2 and 4.

A number that comes between 2 and 4 would be 3.

Used the concept of a number system that states,

A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.

Given that,

Two numbers are 2 and 4.

Let us assume that the number that comes between 2 and 4 is, x

Then,

[tex]x = \dfrac{(2 + 4)}{2}[/tex]

[tex]x = \dfrac{(6)}{2}[/tex]

[tex]x = 3[/tex]

Therefore, the number would be 3 which comes between 2 and 4.

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The point-slope form of a line:

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

We have the slope m = -4 and the point (8, -7). Substitute:

[tex]y-(-7)=-4(x-8)[/tex]     use distributive property

[tex]y+7=-4x+32[/tex]      subtract 7 from both sides

[tex]y=-4x+25[/tex]      add 4x to both sides

[tex]\boxed{4x+y=25}[/tex]

(4, 2) (-4, -2)

Slope is the change in Y over the change in X

From the two points given:

Slope =( -2 - 2 ) / ( -4 -4)

Slope = -4 / -8

Slope = 1/2

m = 1/2

Answer:

[tex]\frac{a-5}{4}[/tex]

Step-by-step explanation:

the given equation is

[tex]\frac{a-5}{a} /\frac{4}{a}[/tex]

from the multiplication rules we know that

[tex]\frac{a}{b}/\frac{c}{d}=\frac{a}{b}*\frac{d}{c}[/tex]

so for the given equation changing the sidn of division to multiplication

the equation becomes

[tex]\frac{a-5}{a} * \frac{a}{4}[/tex]

a cancels out from both numerator and denominator

so it becomes

[tex]\frac{a-5}{4}[/tex]

which is the answer

Answer: C

Step-by-step explanation: A = 10 for one person. B = 7.5 for one person. C = 6.67 for one person. D = 8.75 for one person. E = 10 for one person.

Out of all of these, C is the cheapest.

Answer: You would give your friend 5 cookies

Step-by-step explanation:

One half of the cookies, is basically saying divided by two. 10 divided by 2 is 5. To check that answer, multiply 5 by 2, and you will get 10

If Javier starts with a higher initial balance of $300, the initial point on his savings graph would be higher by $100, and all subsequent points would reflect this initial increase, though the slope of the graph would remain unchanged.

If Javier opens a savings account with a starting balance of $300 instead of $200 and then deposits $75 each week, the graph representing his savings over time would change in the following way:

The initial point on the graph, representing the starting balance, would be higher.

This is because the starting balance would be $300 instead of $200.

After this initial change, the slope of the graph, representing the weekly deposits of $75, would remain the same.

However, every point on the graph after the initial deposit would be $100 higher than it was before because each point on the savings graph accumulates the effects of the higher starting balance.

Answer:

1.  y = 2x-4

2 y = -1/2x+3

Step-by-step explanation:

Slope intercept form of the equation is y= mx+b

where m is the slope and b is the y intercept

1.  y- 2x = -4

We need to solve for y

Add 2x to each side

y -2x+2x = 2x-4

y = 2x-4

2 y-3 = -1/2 x

We need to add 3 to each side

y-3+3 = -1/2x +3

y = -1/2x+3

Answer:

1. y = 2x - 4

y = -1/2x + 3

Step-by-step explanation: You have to isolate or get y by itself.

1:

y - 2x = -4

 + 2x    + 2x

y = 2x - 4

2:

y - 3 = -1/2x

  + 3   + 3

y = -1/2x + 3

Answer:

100/3 or 33.33

Step-by-step explanation: If the perimeter of the whole figure is 220, we can use that number to solve the equations on the trapezoid.

2(2x-3) + 2(4) + 2(4x+1)

4x - 6 + 8 + 8x + 2

12x + 2

Now we have to set the equation equal to the perimeter to find the value of x

12x + 2 = 220

12x = 218

x = 109/6

Since we are only finding the length of PS, we will plug x into its equation (2x - 3).

2(109/6) - 3

109/3 - 3

109/3 - 9/3

100/3

check the picture below.

[tex]\bf \stackrel{\textit{perimeter of the trapezoid}}{(4x+1)+(4x+1)+(4)+(4)+(2x-3)+(2x-3)} \implies 12x+4[/tex]

The 575 written as a mixed number is A. 5 3/4 . Therefore , A. 5 3/4 is correct .

You have correctly outlined the steps to convert 575% to a mixed number. Let me summarize the process:

Convert the Percentage to a Decimal:

Divide the percentage by 100 to convert it to a decimal:

 [tex]\frac{575}{100}[/tex]%  = 5.75.

Separate the Whole Number and Decimal Part:

Separate the whole number part from the decimal part:

5.75=5+0.75.

Convert the Decimal to a Fraction:

Convert the decimal part to a fraction with a denominator of 100:

0.75× [tex]\frac{100}{100}[/tex]  = [tex]\frac{75}{100}[/tex] ​ .

Combine the Whole Number and Fraction:

Combine the whole number and the fraction into a mixed number:

5 + ​[tex]\frac{75}{100}[/tex] =5 [tex]\frac{3}{4}[/tex] .

Therefore, 575% written as a mixed number is 5 [tex]\frac{3}{4}[/tex]​ .

This means there are 5 whole units and [tex]\frac{3}{4}[/tex]of an additional unit in the given percentage.

It's a clear and accurate way to represent a percentage as a mixed number.

Answer:

correct choice is C

Step-by-step explanation:

Triangle KLM has three known lengths of sides:

The greatest angle is opposite to the greatest side. The greatest side is LM, then the greatest angle is angle K. The smallest angle is opposite to the smallest side. The smallest side is MK, then the smallest angle is angle L.

Therefore, the list the angles of the triangle in order from smallest to largest is ∠L, ∠M, ∠K.

Based on the angle and side relationship of the triangle given, the angles of the triangle from smallest to the largest would be: C. ∠L, ∠M, ∠K

Thus, based on the angle and side relationship of the triangle given, the angles of the triangle from smallest to the largest would be: C. ∠L, ∠M, ∠K

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Answer:

Given: Ellentown college has approximately 3 times 10 to the 3 power students and pengrove university approximate 30,000 students.

⇒ number of students approximately in Ellentown college = [tex]3 \times 10^3[/tex]

also,

the number of students approximately in Pengrove university = 30,000 or [tex]3 \times 10^4[/tex]

We have to find how many times as much is the number of students at pengrove university as the number of students at Ellentown college.

[tex]\frac{number of students in Pengrove University}{number of students in Ellentown college}[/tex] = [tex]\frac{3 \times 10^4}{3 \times 10^3} = 1 \times 10^1 = 10[/tex]

therefore, 10 times as much is the number of students at pengrove university as the number of students at Ellentown college.

Answer:

1:1

Step-by-step explanation:

If you're square is a true square, than the height and base will be the same. If one is larger than the other, it's a rectangle.

If you slice a square diagonally, you still have the original height of the square.

Final answer:

To find the ratio of the triangle's height to the square's side, set the area of the triangle (1/2 × base × height) to be twice that of the square (side²). Simplify by equating base to side as they are the same length and solve for the height. The resulting ratio of the height of the triangle to the side of the square is 4:1.

Explanation:

The question involves finding the ratio of the height of a triangle to the side of a square where the area of the triangle is twice that of the square, and they have one side in common. The area of a square is given by side² (s²), and the area of a triangle is given by 1/2 × base × height (1/2 × b × h). To solve this, we set the triangle's area to be twice the square's area: 1/2 × b × h = 2 × s². Since the base of the triangle (b) is equal to the side of the square (s), they can be represented by the same variable. Hence, the equation simplifies to 1/2 × s × h = 2 × s². Canceling s from both sides leaves us with h = 4 × s. Therefore, the ratio of the height of the triangle to the side of the square is 4:1.

Answer: about 15.72

Step-by-step explanation: i used a calculator

To make the statement '17/20 ? -11.95' true, the correct symbol to use is '>'. We find this by comparing the result of 17 divided by 20 (which is 0.85) with -11.95.

The question is asking us to find the correct sign (either less than '<', equal '=', or greater than '>') to make the mathematical statement '17/20 ? -11.95' true.

To solve this, we first need to divide 17 by 20 to get 0.85. Then, we compare this result with -11.95.

Since 0.85 is greater than -11.95, we use the '>' symbol. Thus, the statement '17/20 > -11.95' is true.

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Answer:

Step-by-step explanation:

We are given value of tangent trigonometric ratio = 5.6922.

We need to find the angle in degrees whose measure has a tangent of 5.6922..

So, we need to find the value of [tex]tan^{-1}(5.6922)[/tex].

On plugging [tex]tan^{-1}(5.6922)[/tex]in calculator, we get

80.03°.

Now, we need to round it to the nearest whole degree.

Therefore, 80.03°≈ 80°.

Answer:

$18 034.42

Step-by-step explanation:

The formula for the future value of an account paying 5 % annual interest compounded quarterly for four years is

[tex]A = P(1 +\frac{r }{n })^{nt}[/tex]

A = $22 000

r = 0.05

n = 4 times per year

t = 4 years

[tex]22 000 = P(1 +\frac{0.05 }{4 })^{4\times4}[/tex]

[tex]22 000 = P(1 + 0.0125)^{16}[/tex]

[tex]22 000 = P(1.0125)^{16}[/tex]

22 000 = P x 1.220

P = 2 000/1.220

P = $18 034.42

You must invest $18 034.42.

Answer:

17

Step-by-step explanation:

15.92 is close to 16

0.85 is close to 1

15.92 + 0.85 is close to 16 + 1

16 + 1 = 17

15.92 + 0.85 is approximately 17