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3 years ago

PLZ help pic included

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

$x = 4.82$

Step-by-step explanation:

Given equation is:

6.2 ÷ (2x+1) = 2 1/3 ÷4

Applying the division operation

$\frac{6.2}{2x+1} = 2\frac{1}{3} * \frac{1}{4}\\\frac{6.2}{2x+1} = \frac{7}{3}*\frac{1}{4}\\\frac{6.2}{2x+1} =\frac{7}{12}\\$

Cross multiplication

$6.2(12) = 7(2x+1)\\14x+7 = 74.4\\14x = 74.4-7\\14x = 67.4$

Dividing both sides by 14

$\frac{14x}{14} = \frac{67.4}{14}\\x = 4.8142857....$

Rounding off to nearest hundredth

$x = 4.82$

Keywords: Linear equation, variables

Learn more about linear equation at:

#learnwithBrainly

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*15 points help easy question*

DIA [1.3K]

Answer:

x = 12

Step-by-step explanation:

The segment from the vertex to the base is a perpendicular bisector.

Using Pythagoras' identity on the right triangle on the right.

( $\frac{1}{2}$ x )² + 3² = ( $\sqrt{45}$ )² , that is

$\frac{1}{4}$ x² + 9 = 45 ( subtract 9 from both sides )

$\frac{1}{4}$ x² = 36 ( multiply both sides by 4 )

x² = 144 ( take the square root of both sides )

x = $\sqrt{144}$ = 12

8 0

3 years ago

The output is eight less than the input

horsena [70]

x | y
——-
-10|-18
-9 |-17
-8 |-16
-7 |-15
-6 |-14
-5 |-13
-4 |-12
-3 |-11
-2|-10
-1 | -9
0 | -8
1 | -7
2 |-6
3 | -5
4 | -4
5 | -3
6 | -2
7 | -1
8 | 0
9 | 1
10| 2

6 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

3 years ago

Please help me solve it

Katen [24]

Answer:

63/2

Step-by-step explanation:

Hope this helps ^-^

3 0

3 years ago

1) The relation R on the set {1,2,3, 4}is defined as

Westkost [7]

Matrix dimension 4x4. We put 1 if role is in relation with the collon (role is first number of (a,b), number a, and collone is number b. We have them 4). So, the matrix representation is:

0 0 1 1

0 1 0 0

0 0 0 0

7 0

3 years ago