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2 years ago

50 POINTS & BRAINLIEST!!!! HELP ASAP!!!

Mathematics

1 answer:

Allisa [31]2 years ago

3 0

6(2x - 11) + 15 = 21

First step use distributive property on the left side to remove the parenthesis, to do this multiply 6 by each term inside the parenthesis:

12x - 66 + 15 = 21

Second step, simplify the left side by combining the like terms:

12x - 51 = 21

Third step, add 51 to both sides of the equation:

12x = 72

Last step, divide both sides by 12:

x = 72/12

x = 6

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saw5 [17]

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2 years ago

-(4x+6)<2(5x+9)+2x write the solution for interval notation

Ludmilka [50]

Answer:

$(-1.5,\infty)$

Step-by-step explanation:

-(4x+6)<2(5x+9)+2x

Distribute:

-4x-6<10x+18+2x

Combine like terms on either side:

-4x-6<12x+18

We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.

Add 4x on both sides:

-6<16x+18

Subtract 18 on both sides:

-24<16x

Divide both sides by 16:

-24/16<x

This implies:

x>-24/16

Reduce:

x>-3/2

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So in an interval notation this is $(-1.5,\infty)$ .

3 0

2 years ago

A cylindrical cardboard mailing tube has a diameter of 5 in. and a height of 30 in. A total of 30% of the tube’s capacity is fil

olga2289 [7]

First is to get the volume of the cylinder.
Volume = pi * r^2 * H
Volume = 3.1416 * (5/2)^2 * 30
Volume = 589.05 in^3

30% is already filled.
Filled Space = 589.05 * 0.30
Filled Space = 176.715 in^3
Empty Space = 412.335 in^3

Next, get the volume of the sphere.
V = (4/3)*pi*r^3
V = (4/3)*pi*(0.6/2)^3
V = 0.1130976 in^3

Number of foams = Filled Space / V
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Number of foams = 1562 Foams</span>

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2 years ago

Karan and Preeti are sharing a packet of sweets in the ratio of 2:3 .If the total sweets is 50,how many sweets will Preeti get

Viktor [21]

Answer:

30 sweets

Step-by-step explanation:

From the above question

The ratio is given as:

Karan : Preeti

2:3

The sum of the proportion = 2 + 3 = 5

Total number of sweets = 50 sweets

The number of sweets Preeti will get is calculated as:

3/5 × 50 sweets

= 30 Sweets

Therefore, the number of sweets Preeti will get is 30 sweets

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2 years ago

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OleMash [197]

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2 years ago