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3 years ago

Solve for x: 3x/2 - 10 = 2 A) 2 B) 4 C) 6 D) 8

Mathematics

2 answers:

liubo4ka [24]3 years ago

6 0

Answer:

D) 8

Step-by-step explanation:

Add 10 to both sides.

3x/2 = 12

Multiply by 2 on both sides.

3x = 24

Divide by 3 on both sides.

x = 8

lisabon 2012 [21]3 years ago

6 0

Answer:

the answer is D

Step-by-step explanation:

3x/2 = 2+10

3x = 12*2

3x = 24

x= 24/3

x=8

hope this helps

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Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to

rusak2 [61]

Answer:

2.983 ft/sec

Step-by-step explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute = $\frac{60}{20} = 3$

Formula for linear speed is given as:

$v=\dfrac{2\pi}{60}\cdot r\cdot RPM$

Where $r$ is the radius of circular path and

$RPM$ is the number of revolutions per minute.

$v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}$

Therefore, the linear speed is 2.983 ft/sec.

5 0

4 years ago

Angle ABC has point E on ray BA and point D on ray BC. Points E and D are equidistant from point B. To bisect angle ABC, which o

aivan3 [116]

Answer:

The point in the angle that is equidistant from points E and D

Step-by-step explanation:

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3 0

3 years ago

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

Can you guy help for this questing 1234

postnew [5]

Answer:

1. Median

2. Altitude

3. Altitude

4. Neither

Step-by-step explanation:

Median- splits the side into two congruent parts

Altitude- Makes a right angle

1. Splits the side. Median

2. Makes a right angle. Altitude

3. Makes a right angle. Altitude

4. Doesn't make a right angle or split the sides. Neither

4 0

3 years ago

A little stuck on this problem help

KatRina [158]

Answer:

∠N = 31

Step-by-step explanation:

MN = MP

∠N = ∠P = x+3

∠M + ∠N + ∠P = 180

4x+6 + x+3 + x+3 = 6x + 12 = 180

x = 28

∠N = 28 + 3 = 31

5 0

3 years ago