All categories

2 years ago

Find the sum. (y+5) + (3y-9)

2 answers:

5 0

Eliminate parenthesis: Y+5+3y-9
Subtract the numbers: Y-4+3y
Combine like terms: y-4+3y
4y-4
Common factor: (y+5)+(3y-9)=4(y-1)

Solution: 4(y-1)

labwork [276]2 years ago

5 0

Answer:

y = 1

Step-by-step explanation:

Simplifying

(y + 5) + (3y + -9) = 0

Reorder the terms:

(5 + y) + (3y + -9) = 0

Remove parenthesis around (5 + y)

5 + y + (3y + -9) = 0

Reorder the terms:

5 + y + (-9 + 3y) = 0

Remove parenthesis around (-9 + 3y)

5 + y + -9 + 3y = 0

Reorder the terms:

5 + -9 + y + 3y = 0

Combine like terms: 5 + -9 = -4

-4 + y + 3y = 0

Combine like terms: y + 3y = 4y

-4 + 4y = 0

Solving

-4 + 4y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 4y = 0 + 4

Combine like terms: -4 + 4 = 0

0 + 4y = 0 + 4

4y = 0 + 4

Combine like terms: 0 + 4 = 4

4y = 4

Divide each side by '4'.

y = 1

Simplifying

y = 1

You might be interested in

Name the property the equation illustrates. 8 + 5.3 = 5.3 + 8

VMariaS [17]

The answer to the question is letter "D. Commutative Property of Addition". The property states that if there are two numbers which we may represent by a and b, the value of a + b is equal to the value of b + a. The given, 8 + 5.3 = 5.3 + 8 is an example of this property.

5 0

3 years ago

Read 2 more answers

A regular square pyramid has base edges of length 16 and its lateral faces are inclined 30° to the base of the pyramid. What is

Vlad1618 [11]

Answer:

(1) 13.86 units.

(2) 1182.72 cubic units.

Step-by-step explanation:

Please find the attachment.

We have been given that a regular square pyramid has base edges of length 16 and its lateral faces are inclined 30° to the base of the pyramid.

(1) We can find height of pyramid using tan.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

The length of opposite side will half the length of square base.

$\frac{16}{2}=8$

$\text{tan}(30^{\circ})=\frac{8}{h}$

$h=\frac{8}{\text{tan}(30^{\circ})}$

$h=13.8564064605420367$

$h\approx 13.86$

Therefore, the height of the pyramid will be 13.86 units.

(2). We know that volume of pyramid is 1/3 the product of base area and height.

$V=\frac{1}{3}*bh$

$V=\frac{1}{3}*16*16*13.86$

$V=\frac{1}{3}*3548.16$

$V=1182.72$

Therefore, the volume of the pyramid would be 1182.72 cubic units.

4 0

4 years ago

What is the v?<br> -18 - 3/4v = 3

lesantik [10]

Step-by-step explanation:

$- 18 - \frac{3}{4v} = 3$

$- \frac{3}{4v} = 3 + 18$

$- \frac{3}{4v} = 21$

Now doing cross multiply

-3 = 21 * 4v

$v = - \frac{3}{21 \times 4}$

Therefore

$v \: = \frac{1}{28}$

Hope this helps.

8 0

3 years ago

Read 2 more answers

5.75% in decimal form

Irina-Kira [14]

It would be 0.575, just move the decimal to the left to places! :)

6 0

3 years ago

Read 2 more answers

Please Help! :) <br> Solve for X. The polygons in each pair are similar.

Diano4ka-milaya [45]

Answer:

x=2.65

Step-by-step explanation:

First, we need to figure out how much the length of the sides is changing between the equations. In this case it is changing by a factor of 2.5. Now we need to work backwards. First use this equation:

$4x-5*2.5=14$

This is because whatever the length of the side with x is, will be 14/2.5. So divide both sides by 2.5:

$4x-5=5.6$

Next, add 5 to both sides:

$4x=10.6$

Then divide both sides by 4:

$x=2.65$

8 0

3 years ago