Points Y and Z are points of tangency. Find the value of a.

Answer:

97/139

Step-by-step explanation:

You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.

Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.

According to the question

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.

You pick one candy at random.

We have to find probability that it is purple or not red.

Formula for probability:

[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]

Number of favorable outcomes = 32

Probability that it is purple or not red.

[tex]P(E)=\frac{32}{151}[/tex]

Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].

Find out more information about probability here

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Answer: The relation is a function.

Step-by-step explanation: Since there is one value of y for every value of x in (-2,4), (3,7), (0,8), (5,8), and (1,6), this relation is a function.

I hope this helps you out!

Answer:

n = 250

Step-by-step explanation:

To express the ratio, the quantities must have the same measures

2 cm : 5 m

= 2 cm : 500 cm [ 1 m = 100 cm ]

Divide both parts by 2

= 1 : 250 → with n = 250

Answer:

A. it is not a function because there are multiple y-values paired with a single x-value.

Step-by-step explanation:

Answer:  a.2^3, b. 3^5, c. 4^3 + 5^2, d. 9^4 + 7^2

Step-by-step explanation:

i took this class already

Answer:

a) = 8

b)=243

c)=1 600

d)=321 489

Explanation

a) 2×2= 4×2= 8

b)3×3=9×3=27×3=81×3=243

c)4×4=16×4=64×5=320×5=1 600

d)9×7=63×9=567×9=5 103×7=35 721×9=321 489

Answer:

2x=50

Step-by-step explanation:

Hi there,

Your question is "twice a number (x) is fifty"

Recall how a number is represented by x.

Twice a number would be represented as 2x.

Therefore, to represent that twice a number is equal to 50, that would result in the expression: [tex]2x=50[/tex]

If you're looking to solve this equation, it's often best to think about the "reverse" of the current equation.

Notice how 2 is multiplying the x.

To isolate x, divide that side by 2.

However, recall that whatever is done to one side of an equation must also be done to the other side of the equation. Therefore, you will need to divide both sides by 2.

[tex]2x=50[/tex]

[tex]\frac{2x}{2} = \frac{50}{2}[/tex]

[tex]x=25[/tex]

Equation: [tex]2x=50[/tex]

Solving for x: 25

Hope that helps!

Answer:

x = 6

Step-by-step explanation:

sin 30° = 3/x

0.5 = 3/x

.5x = 3

x = 3/.5

x = 6

The indicated side of the right-angled triangle is 6.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

The triangle is a right-angled triangle.

So, we know,

SinФ = perpendicular / hypotenuse.

And here, perpendicular = 3 unit

And hypotenuse = x unit

Substituting the values,

Sin30° = 3/x

1/2 = 3/x

x = 6

Therefore, the value of x is 6.

To learn more about the right-angled triangle;

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Answer:

75/25= 3 wholes

Step-by-step explanation:

Because 25*3=75 so it would be 3 wholes

Answer:

-5y

Step-by-step explanation:

combine them -4y +(-1y)

Answer:

16.8

Step-by-step explanation:

the one above would the y

Answer:

40 for both of the long sides.

Step-by-step explanation:

Hope this helps! <3

Answer: Each long side is 20

Step-by-step explanation: If the short side were 16 then you would subtract 32 from 72. This would give you 40 you would divide this by two because you have two sides. So each long side is 20.

Answer:

V≈157.08

Step-by-step explanation:

I hope this helps

Answer:

p = 36cm

Step-by-step explanation:

p = 4a

4 × 9 = 36

good luck, i hope this helps :)

Step-by-step explanation:

- In a right triangle, if ∠B is 45°, then ∠C is too.

-- Since ∠B  and  ∠C  are equal, the sides opposite them

are equal too.  This is an isosceles right triangle.  Its legs

are equal.

-- (The hypotenuse)²  =  (one leg)²  +  (the other leg)²

                                  =       (12-ft)²  +  (12-ft)²

                                  =              (144 x 2)

     The hypotenuse  =  √(144 x 2)  =  12√2 .

LOL

Answer:

500 : 0.4

Step-by-step explanation:

Answer:

For the profit to be maximized, 20 software programs and 80 video games should be produced

Step-by-step explanation:

Let x represent the number of the software programs and let y represent the number of video games.

We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;

x ≤ 70

y ≤ 80

Also, we are told that the overall production cannot exceed 100. Thus;

x + y ≤ 100

Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;

15x + 10y

When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.

Thus, one point of maximizing values is; (70, 30)

Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.

Thus, second point of maximization is;

(20, 80)

Putting these points into the objective function, we have;

At (70, 30); 15(70) + 10(30) = $1350

At (20, 80); 15(20) + 10(80) = $1100

For the profit to be maximized, 20 software programs and 80 video games should be produced

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.

Step-by-step explanation:

Hope this will help

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investments will be lost. However, a stock's price will also rise in spite of this risk when the company performs well, and can even work in the investor's favor.

Step-by-step explanation:

Given:

The graph of line.

To find:

The gradient of the line using rise/run method.

Solution:

We know that the gradient of a line is also known as slope.

[tex]Slope=\dfrac{Rise}{Run}[/tex]

Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.

[tex]Rise=-3[/tex]

[tex]Run=2[/tex]

Now,

[tex]Slope=\dfrac{Rise}{Run}[/tex]

[tex]Slope=\dfrac{-3}{2}[/tex]

The gradient of the line is [tex]-\dfrac{3}{2}[/tex].

Therefore, the correct option is C.

Answer:this is the answer

Step-by-step explanation:

Just did the test

Answer:

1.5

Step-by-step explanation:

2+3.3x-1.7=5.25

=> 3.3x = 5.25 +1.7 -2

=> 3.3x = 6.95 - 2

=> 3.3x = 4.95

[tex] = > x = \frac{4.95}{3.3} [/tex]

[tex] = > x = \frac{49.5}{33} [/tex]

=> x = 1.5 (Ans)

Answer:

Step-by-step explanation:

d+821=5323

d=4502

So the distance she climbed in the first four days was 4502 feet.

192 cm²

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

According to Pythagoras Theorem :-

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

Answer:

168

Step-by-step explanation:

so what you are going first is 24 times 7 which is

Answer:

79.82

(Rounded to the nearest dollar 80)

Step-by-step explanation:

Surface area of Cylinder:

Circle:

π[tex]r^{2}[/tex]=

1π = π

so since there are 2 circles it is 2π

Rectangle:

length*width=

3*Circumference

3*(2π)=

6π

Add them all together:

2π + 6π = 8π

≈ 8*3.14

so the answer is approximately 79.82

Hope this helps :)

Answer: 10

Step-by-step explanation:

Answer:

(-8, 10)

Step-by-step explanation:

A P E X