What is the multiplicative inverse of the number 5?

zloy xaker [14]

Here are some things you should know when solving algebraic equations.

If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.

You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.

To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.

The distributive property is another important rule you will need to understand.

The distributive property is used mostly for simplifying parentheses in expressions/equations.

For example, how would you get rid of the parentheses here?

6(x + 1)

If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves. The distributive property states that a(b + c) = ab + ac

So, now we can simplify our expression.

6(x + 1) = 6x + 6

Now let's solve your equation.

9v = 8 + v
8v = 8 <-- Subtract v from each side
v = 1 <-- Divide both sides by 8

So, v is equal to 1.

5 0

3 years ago

Electronics unlimited sells tvs. There are 110 tvs on display in the showroom, and each tv is turned on to a random channel from

prisoha [69]

It would be 4/11 chance bc if you you think about it, it would 7/11 of it being a sports channel which remains 4/11 of it being any of the other

6 0

3 years ago

Read 2 more answers

Use this graph of g to find g(1).<br><br> pls help !

kari74 [83]

I’m not really sure if it correct, g(1)=0 or g(1)=1??

8 0

3 years ago

A punch recipe requires 4 L of orange juice and 3 L of pineapple juice. Sylvia wants to tripple the recipe. What is the total am

kirill [66]

Answer:

Sylvia needs 12 l of orange juice and 9 l of pineapple juice.

Step-by-step explanation:

triple means multiplying by 3

so multiply 4 l of orange juice by 3 and 3 l of pineapple juice by 3

3 0

4 years ago

Can someone help me with this question on Prodigy?

lions [1.4K]

Answer:

8 +(3/8)√53 in² ≈ 10.73 in²

Step-by-step explanation:

Given the net of a triangular pyramid with some of the dimensions filled in, you want to find the total surface area.

<h3>Triangle base</h3>

The triangle bases identified by dashed lines will have a length equal to the hypotenuse of the right triangles with legs shown as solid lines. The legs of each of those right triangles are ...

a = (3 in)/2 = 1.5 in

b = 2 in . . . . . . shown as the altitude of the triangle

Then the hypotenuse is found using the Pythagorean theorem:

c² = a² +b²

c² = 1.5² +2² = 2.25 +4 = 6.25

c = √6.25 = 2.5

The dashed lines are 2.5 inches long.

<h3>Triangle altitude</h3>

The altitude from the solid horizontal line to the vertex at the bottom of the figure can be found using the fact that all of the outside edge lengths of the net are the same length. That edge length is found as the length of the hypotenuse of the right triangles in the left- and right-sides of the upper portion of the net. Each of those has a leg that is (2.5 in)/2 = 1.25 in and a leg marked as 2 in.

c² = a² +b²

c² = 1.25² +2² = 1.5625 +4 = 5.5625

c = (√89)/4 ≈ 2.358 . . . in

The unmarked altitude of the bottom triangle is then ...

b² = c² -a²

b² = 89/16 -1.5² = 53/16

b = (√53)/4 ≈ 1.820 . . . in

<h3>Surface area</h3>

The surface area of the figure is the sum of the areas of the four triangles that make up the net. Each triangle has an area given by the formula ...

A = 1/2bh

The left and right triangles have b=2.5, h=2, so they each have an area of ...

A = 1/2(2.5)(2) = 2.5 . . . . in²

The center triangle has dimensions of b=3, h=2, so an area of ...

A = 1/2(3)(2) = 3 . . . . in²

The bottom triangle has dimensions of b=3, h=(√53)/4, so an area of ...

A = 1/2(3)(√53/4) = (3/8)√53 ≈ 2.730 . . . . in²

The total surface area is the sum of the areas of these triangles, so is ...

A = 2.5 in² +2.5 in² +3 in² +2.73 in² = 10.73 in²

The surface area of the triangular pyramid is (64+3√53)/8 ≈ 10.73 in².

__

<em>Additional comment</em>

Often we work with pyramids that are rotationally symmetrical about a vertical line through the peak. This one is not. The altitude of the bottom triangle in the net is less than the altitude of the other triangles. This short face of the pyramid will tend to be more vertical than the other two lateral faces.

4 0

1 year ago