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3 years ago

M-3x=2x p what does x equal

1 answer:

3 0

<span>Simplifying M + -3x = 2x Solving M + -3x = 2x Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '3x' to each side of the equation. M + -3x + 3x = 2x + 3x Combine like terms: -3x + 3x = 0 M + 0 = 2x + 3x M = 2x + 3x Combine like terms: 2x + 3x = 5x M = 5x Simplifying M = 5x</span>

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The distance from Talamunda to Velcicrita is 700 miles. The train takes 5 hours to travel the distance. At what unit rate is the

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The train's rate 140 mph. 700 divided by 5 equals 140.

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3 years ago

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Problem Page A principal of $2100 is invested at 7.75% interest, compounded annually. How much will the investment be worth afte

just olya [345]

Answer:

After 12 years the investment will be worth $5145.

Step-by-step explanation:

The formula used for compounded interest is:

A = P(1+r/n)^nt

where,

A = future value

P = Principal Amount

r = interest rate

n = no of times interest is compounded

t = time

In the question given:

A=?

P = $2100

r = 7.75% or 0.0775

n = 1

t= 12

A= 2100*(1+0.0775/1)^1*12

A= 2100 *(1+0.0775)^12

A= 2100 *(1.0775)^12

A= 2100 * 2.45

A= 5145

So, after 12 years the investment will be worth $5145.

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3 years ago

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

Alexxandr [17]

Answer:

a) Add 4 to both sides, and then divide by 2. The solution is $x=12$ .

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

$2x-4=20$

We need to determine the steps in order to solve for $x$ .

Solving for $x$ .

Step 1: Adding 4 both sides.

$2x-4+4=20+4$

$2x=24$

Step 2: Dividing both sides by 2.

$\frac{2x}{2}=\frac{24}{2}$

∴ $x=12$

Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12

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3 years ago

Write an equation in standard form of the line that contains the point (-2,4) and is parallel to (has the same slope as) the lin

CaHeK987 [17]

Answer:

The equation of the line in standard form is -8x + y = 20

Step-by-step explanation:

The standard form of the linear equation is Ax + By = C, where

A, B, and C are integers

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

Parallel lines have equal slopes

∵ The line is parallel to the line y = 8x - 2

→ Compare it with the slope-intercept form above

∴ m = 8

∵ The parallel lines have the same slopes

∴ The slope of the line = 8

→ Substitute it in the slope-intercept form above

∴ y = 8x + b

∵ The line passes through the point (-2, 4)

∴ x = -2 and y = 4

→ Substitute x by -2 and y by 4 in the equation to find b

∵ 4 = 8(-2) + b

∴ 4 = -16 + b

→ Add 16 to both sides

∴ 4 + 16 = -16 + 16 + b

∴ 20 = b

→ Substitute the value of b in the equation above

∴ y = 8x + 20

→ Subtract both sides by 8x

∵ y - 8x = 8x - 8x + 20

∴ y - 8x = 20

→ Switch x and y

∴ -8x + y = 20

∴ The equation of the line in standard form is -8x + y = 20

8 0

3 years ago