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3 years ago

What is 5/12 plus 1/3? I'm confused because the denominator has to be 36.

1 answer:

3 0

The denominator doesn't really have to be 36. An easier way(for me, anyway) would be to convert 1/3 into 4/12 by multiplying the top and bottom by 4. Then, add 5/12 and 4/12 to get 9/12, which simplifies to 3/4 when you divide the top and the bottom by 3.

Another way is to multiply the top and the bottom of the first fraction by the denominator of the second, and multiply the top and the bottom of the second fraction by the denominator of the first(I'm using "denominator" and "bottom" the same, by the way). So, multiply the top and bottom of 5/12 by 3 to get 15/36. Then, multiply the top and bottom of 1/3 by 12 to get 12/36. Then, add 15/36 and 12/36 to get 27/36, which simplifies to 3/4 when you divide the top and the bottom by 9.

The first way only works when one of the denominators(3) is a factor of the other(12). The second way works every time. That's probably why the denominator had to be 36; your teacher wanted you to do it the way that always works.

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Simplify 3 · 2x. What is the coefficient?<br> • 2<br> • 3<br> • 6

fiasKO [112]

Answer:

2x=6x so, answer is 6.

Step-by-step explanation:

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3 years ago

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Which equation describes a line perpendicular to the line described by? y=3x-5

Nat2105 [25]

A line perpendicular means that the slope is the negative reciprocal of the slope given. Since m=3 in the given equation, the slope in the perpendicular line has to be m = -1/3. The y-intercept can be any number.

So a line perpendicular would be y = -1/3x + b

Since you can plug anything into b, you can get many different answers. For example, y = -1/3x + 7 or y = -1/3x - 2

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3 years ago

Avery deposited $400 in an account that earned 2.47% interest compounded annually. She did not make additional deposits or withd

aev [14]

Answer:

Amount ($451.9), Interest ($51.9)

Step-by-step explanation:

We need to use the formula of A = P(1 + $\frac{r}{n}$ )^n*t

A = Total Amount

P = Principle/Deposited money

R = Annual Interest Rate

N = Number of times compounder per year

T = time in years

We have P = $400, r = 2.47%, n = 1 and t = 5 years.

Now lets plug it all in!

$A = 400 (1 + \frac{0.0247}{1})^{1*5}$

$A = 400 * 1.0247^5$

$A = 400 * 1.129753$

A = 451.9

Now we need to find the interest...

We will use A = P + I since A is 451.9 and P = 400

451.9 = 400 + I

I = 451.9 - 400

I = 51.9

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2 years ago

When baking a cake you can choose between a round pan with a 9 in. diameter and a 8 in. times 11 in. rectangular pan?

ivanzaharov [21]

Question says that there are two type of pans.

First pan has diameter of 9 inches.

Second pan has dimension 8 inches by 11 inches. Which means second pan is rectangular.

It seems you missed few parts of the question like what we have to do with it. I searched for similar question on internet and found that they are finding surface area of the both pans so i will tell you how to find that.

Radius of the circular pan = diameter/2 = 9/2 = 4.5 inches

Then surface area of the first (circular) pan = \pi r^2 = 3.14 *4.5^2 = 63.585 square inches.

Now surface area of second (rectangular) pan is given by formula of area of rectangle

Area = Length * width = 8*11= 88 square inches.

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3 years ago

The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?

Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

$S=180^o(n-2)$

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

$S=180^o(8-2)=1,080^o$

The linear equation that represent this problem is

$\frac{x}{2}+7x=1,080$

solve for x

$\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o$

$\frac{x}{2}=72^o$

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

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3 years ago