The table below represents students' favorite skittle color.
Using the table above, what is P( Boy|Green)?

6/17
4/17
2/3
3/20

Answer:

y = 4 1/2

x = 8 1/2

Step-by-step explanation:

x + y = 13

x - y = 4

substitution method:  let x = 4+y

4+y + y = 13

2y = 9

y = 4 1/2

x = 8 1/2

Answer:

V = 9.75 cubic inches.

Step-by-step explanation:

Given the following data;

Length = 2 inches

Width = 3¼ inches

Height = 1½ inches

To find the volume of rectangular prism;

Volume of rectangular prism = length * width * height

V = 2 * 3¼ * 1½

V = 2 * 13/4 * 3/2

V = 2 * 39/8

V = 2 * 4.875

V = 9.75 cubic inches

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

Answer:

[tex]A = 78^\circ[/tex]

[tex]B = 102^\circ[/tex]

[tex]C = 102^\circ[/tex]

Step-by-step explanation:

Given

The attached image

Required

Find A, B and C

Because the sides of the crosswalk are parallel and the sidewalks are also parallel, then the following relationships exist

[tex]A = 78^\circ[/tex] ---- alternate interior angles

[tex]B = C[/tex]   ---- alternate interior angles

To solve for B, we have:

[tex]B + 78 = 180[/tex] --- the sum of the base angles

[tex]B = 180 - 78[/tex]

[tex]B = 102^\circ[/tex]

Recall that:

[tex]B = C[/tex]

[tex]C = 102^\circ[/tex]

Answer:

y-2=5/3x

y-2/5=3x

Step-by-step explanation:

Answer:

0.637 m or 63.7 cm

Step-by-step explanation:

Formula

d = n *  pi di

Givens

di = diameter and is unknown

n = 29 times

d = 58 meters

Solution

58 = 29 * 3.14 * di

2 = 3.14 * di

2/3.14 = di

d = 0.637 meters

or

d = 63.7 cm

Answer:

Step-by-step explanation:

What's the question?

This is a linear function that shows the longer the pipe the more it weighs.

   (156 - 130) pounds / (24 - 20) inches = 26 ponds / 4 inches

    or   4.5 pounds/inch

Answer:

70 square units

Step-by-step explanation:

1 box is 2 units

Width = 7 units

Length = 10 units

7 × 10 = 70 square units

Answer:

8/20 and 15/20 and then you add to get 23/20 AKA       1   3/20

Step-by-step explanation:

Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8

Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15

Your final fractions will be 8/20 and 15/20

Then add and reduce to get 1 3/20

Answer:

B. 64

......there are nine nolumbers in every interval . ..

Answer:

64

Step-by-step explanation:

91-82=9

minus every number by 9

Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

[tex] \frac{3}{2} [/tex]

[tex] 1\frac{1}{2} [/tex]

is your answer.

Answer:

Step-by-step explanation:

Total outcomes:

Outcomes with same numbers on both dice:

Outcomes with different numbers on both dice:

Probability of different numbers on both dice:

Answer:

Point C

Point A is located at (3, 2)

Point B is located at (2, 2)

Point C is located at (2, 3)

Point D is located at (3, 3)

Answer:

Two additional solutions are:

(21, 1/3)

(17, 5/3)

Step-by-step explanation:

We have the equation:

x + 3*y = 22

Now we want to find two solutions (x, y).

To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.

Let's isolate x.

x = 22 - 3*y

Now we can change the value of y by a known value, and then solve the equation for x.

For example, if we define:

y = 1/3

then:

x = 22 - 3*(1/3)

x = 22 - 1 = 21

x = 21

Then the point (21, 1/3) is a solution of the equation.

Now let's input another value of y, for example, we can use y = 5/3

(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.

x = 22 - 3*(5/3)

x = 22 - 5

x = 17

Then the point (17, 5/3) is a solution of the equation.

Answer:

C

Step-by-step explanation:

12 decreased by 2 times x

Answer:

1) number of boys in school is 48 [ Could be true ]

2) fraction of the boys in the school is = 6/6+7= 6/13 [False]

3) fraction of girls in school is 7/6+7=7/13 [Definitely true]

[tex]---------------[/tex]

hope it helps...

have a great day!!!

Answer:

B

Step-by-step explanation:

It can only land on blue and numbers greater than four (not including four), therefore B is the only suitable answer.

Answer:

d!

Step-by-step explanation:

Answer:

−4(x − 3)2 + 7

Step-by-step explanation:

I took the test

Answer:

The answer should be D) 4x^ + x + 3

Answer:

17.2

Step-by-step explanation:

86/5=17.2

Answer:

C. The cost of a box of cereal

Step-by-step explanation:

In the question, we are given the number of 3 boxes of cereal, 2 loaves of bread, and that the total cost is $15. We can see these numbers in the equation, and putting it into context, we see that the 15 is on the right side of the equation, which indicates cash. Therefore, the 3 and 2 are accounted for, but their prices are unknown. X is a placeholder for the unidentified cost of a box of cereal, and we know that it's the boxes of cereal and not the loaves of bread because there are 3 and not 2.

Answer:

20 sq yd

Step-by-step explanation:

To find the total amount of sq yd's of paint needed, you have to find the area.

The area of a triangle is: A = 1/2 bh

We know:

b = base = 8

h = height = 5

Plug in and solve:

A = 1/2 (8) (5)

A = 1/2 (40)

A = 20

Answer:

a)

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b)

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Step-by-step explanation:

Given

The total number of opportunities to employees for transfer = 500

Company currently has  100 managers, 200 factory workers, and 400 miscellaneous staff

a) All the managers will be offered the opportunity

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b) You will be offered the opportunity

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Answer:

0

Step-by-step explanation:

-4 - (-4) = 0

divided by

1 - 7 = -6

-0/6 so 0

Answer:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

Step-by-step explanation:

we want to figure out the equation of a sine function that has the following characteristics.

the standard form of sine function is given by

[tex] \displaystyle y = a\sin(bx-c)+d[/tex]

where:

Finding a and phase shift:

a and c is simply given which is

finding b:

using the equation we acquire:

[tex]\dfrac{2\pi}{b}=9\pi[/tex]

solving the equation for b,we obtain:

b=2/9

finding d:

Since d Isn't mentioned, we would assume it 0

finding the equation:

substitute what we got:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

and we're done!

Answer:  x=18

Step-by-step explanation:  ...

Answer

The triangle is scalene triangle

Answer:

Scalene triangle

Step-by-step explanation: