2 (x + 3) + 5 x = 3 (2 x minus 1)

Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gol

3241004551 [841]

Answer:

12

Step-by-step explanation:

For the top triangle, he has 3 options

3C1 = 3

For the middle one, he can't use the top triangle's colour, so 2 options

2C1 = 2

For the ones on sides of the middle one, 2 options each

2C1 × 2C1 = 4

3 × 2 × 2 × 2 = 24

These include all three outer ones same, so subtract 3

Also, these include 2 of the three outer ones same, so subtract:

3C2 × 3 = 9

24 - 3 - 9 = 12

5 0

3 years ago

Read 2 more answers

Vanessa is cutting 200 centimeter long pieces of string to attach to balloons how many pieces can she cut from 40 m of string.

Ainat [17]

200 cm is 2 m so 40m/2m = 20. Thus she will have 20 pieces

8 0

3 years ago

Which expression is equivalent to the square root of 200?

Zanzabum

10 sqrt of 2 could be in radical form

5 0

3 years ago

Read 2 more answers

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

brainly.com/question/16098833

6 0

2 years ago

8.EE.5

olga2289 [7]

Answer:

1.) $slope=2$

2.) $slope=-3$

3.) $slope=\frac{1}{4}$

4.) $slope=-\frac{4}{5}$

Step-by-step explanation:

The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

$(x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope$

However, with certain graphs, the slope can be found in a simpler manner.

You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.

Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each $\frac{y}{x}$

When you move up, the number will be positive $(\frac{+y}{x})$ . If you move down, the number will be negative $(\frac{-y}{x})$ .
If you move to the right, the number will be positive $(\frac{y}{+x})$ . If you move to the left, the number will be negative $(\frac{y}{-x})$ .

8 0

3 years ago