All categories

3 years ago

Solve the literal equation −cy+2=3d+7y for y.

Mathematics

1 answer:

babunello [35]3 years ago

3 0

Answer:

y = (2-3d)/(7+c)

Step-by-step explanation:

-cy + 2 = 3d + 7y

To solve this equation in terms of y, we must first move all of the terms containing a y to one side of the equation and move all of the other terms to the other side.

Our first step is going to be to add cy to both sides of the equation.

- cy + cy + 2 = 3d + 7y + cy

2 = 3d + 7y + cy

Next, we can subtract 3d from both sides of the equation.

2 - 3d = 7y + cy

Next, we can factor out a y from the right side of the equation.

2 - 3d = y (7 + c)

Finally, we can divide both sides by the quantity (7+c) to get the y alone on the right side of the equation.

(2-3d)/(7+c) = y

Therefore, your answer is y = (2-3d)/(7+c).

Hope this helps!

You might be interested in

Write these fractions in least common denominator2/5x+15y 1/2x+6y

Over [174]

Look at deonomators

assuming that the deonomenators are 5x+15y and 2x+6y

find their LCM
factor

5x+15y=5(x+3y)

2x+6y=2(x+3y)

LCM=10(x+3y)=10x+30y

multiply 2/(5x+15y) by 2/2=4/(10x+30y)
multiply 1/(2x+6y) by 5/5=5/(10x+30y)

if we add them
9/(10x+30y)

3 0

3 years ago

Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$

∴ the hypotenuse length x is equal to √909 and the number under the square root, our answer, is equal to 909.

___

Learn more about Trigonometry: brainly.com/question/27707750

___

Topic: Trigonometry

3 0

2 years ago

Can you help please? It would be helpful.

steposvetlana [31]

Answer:

660 square feet

Step-by-step explanation:

1 chain = 66 feet

Length ( l ) = 66 feet

Breadth ( b ) = 10 feet

To find :

The area of a cricket pitch in square feet = ?

The area of a cricket pitch in square feet will be in the shape of rectangle.

Formula : -

Area of a rectangle = lb

Area of a rectangle

= 66 x 10

= 660 square feet

Therefore,

660 square feet is the area of a cricket pitch.

8 0

3 years ago

Write and solve the following expression: The sum of 7 and twice a number is 15

Nastasia [14]

Answer:

It would be 7 + 2x = 15

8 0

3 years ago

Simplify the product using the rules for exponents 14^3• 14^4

dimulka [17.4K]

Answer:

105,413,504

Step-by-step explanation:

14x14x14= 2,744

14x14x14x14= 38,416

2,744x38,416= 105,413,504

4 0

3 years ago