2 years ago

What is the justification for each step in the solution of the equation?

Mathematics

1 answer:

podryga [215]2 years ago

7 0

Here are the following justifications:

Given: -2 (x-1) +12=4x-6

Distribute property = -2x+2+12=4x-6

Combine like terms= -2x+14=4x-6

Transpose = -2x = 4x – 20

Addition or Subtraction Property of Equality = -6x = -20

Division property of equality = x = 20/6

Simplify = x = 10/3

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The answer is 40 by 48 inches

40 * 48 = 1920

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2 years ago

A recipe states that 5 servings of peanuts have 1,250calories. How many calories is 2 servings of peanuts? *

MrMuchimi

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

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2 years ago

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What is the length of segment BD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share

hichkok12 [17]

Answer:

BD = 4.99 units

Step-by-step explanation:

Consider the triangle ABD only.

The angle formed is 31 degrees which occurs between two sides that are AD and BC.

We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.

Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD

Using formula for tanθ

tanθ = Perpendicular/Base

tan31 = 3/BD

0.601 = 3/BD

BD = 3/0.601

BD = 4.99 units

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2 years ago

Solve for x: 3(5x + 10) + 10 = 6x - (x + 10)

34kurt

Answer:

x= -5

Step-by-step explanation:

3(5x+10)+10=6x-(x+10)

15x+30+10=6x-x-10

15x+40=5x-10

15x-5x=-10-40

10x=-50

x=-5

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2 years ago

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Your lab develops a synthetic compound that is extremely light but very durable. You test it by making a solid ball with a radiu

Maksim231197 [3]

The volume of a spherical shaped object is given by

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Given that the solid ball has a radius of 20.0 millimeters, the volume of the solid ball is given by

$V= \frac{4}{3} \pi(20)^3\approx33,510mm^3$

Therefore, the closest to the volume of the synthetic compound ball, in cubic millimeters is 33,500 cubic milimeters.

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2 years ago