<span><span><span><span>2<span>y2</span></span>+y</span>−10</span>=0</span>Step 1: Factor left side of equation.<span><span><span>(<span><span>2y</span>+5</span>)</span><span>(<span>y−2</span>)</span></span>=0</span>Step 2: Set factors equal to 0.<span><span><span><span>2y</span>+5</span>=<span><span><span>0<span> or </span></span>y</span>−2</span></span>=0</span><span><span>y=<span><span><span><span>−5</span>2</span><span> or </span></span>y</span></span>=2</span>Answer:<span><span>y=<span><span><span><span>−5</span>2</span><span> or </span></span>y</span></span>=<span>2</span></span>
. Given situation:
=> Maximilian had 4/5 of bag of trail mix.
He divided this trail mix to his 5 friends.
Find the fraction that each of his friend will have if he equally divided this to them.
=> Convert to decimal first
4/5 = 0.8 the dividen
5 = the divisor
Let’s start dividing:
=> 0.8 / 5
=> 0.16, now we have the decimal value, let’s convert this to fraction.
=> 0.16 = 16/100 let’s simplify
=> 4/25
Start from the origin and go over 4
He <span>wants to write the fraction 4 / 6 as a sum of unit fractions. It is written as follows:
</span>
1/6 +1/6 +1/6+ 1/6= 4/6.
A unit fraction has a numerator of 1 so since 4 is the numerator in 4/6 you would have to add 1/6 for four times.
Hope this answers the question. Have a nice day.
Answer:
3/5 or
0.6
Step-by-step explanation:
You could change these fractions to decimals, but you may not be convinced that the answer you get is the same as just using fractions. I'll start by using fractions.
x - 2/5 = 1/5 Add 2/5 to both sides
x - 2/5 + 2/5 = 1/5 + 2/5 The left side cancels to 0.
x = 1/5 + 2/5 The denominators (bottom the fraction) are the same. Just add the tops.
x = (1 + 2)/5
x = 3/5
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If you use your calculator to find 2/5 and 1/5, you can get the same answer as 3/5
2
÷
5
=
0.4
By the same method, 1/5 = 0.2
Substitute into the original equation
x - 0.4 = 0.2 Add 0.4 to both sides
x - 0.4 +0.4 = 0.2 + 0.4 The left side reduces just to x
x = 0.2 +0.4
x = 0.6
If you let your calculator do the work, like this
3
÷
5
=
0.6
The answers are the same.