For this case we must simplify the following expression:
We solve the parenthesis:
We apply distributive property to the terms within parentheses:
We add similar terms:
Answer:
17 ½ % of 240
First option
Change the fraction ½
to a decimal. It would be 0.5 ( 1 divided by 2)
½=0.5
You will add the whole number 17 to the result.
17 + 05 = 17.5
Now you will divide by 100 (percent)
17.5 /100 To divide a
decimal by 100, move the decimal point two
places to the left.
17.5 /100 = 0.175 times 240
0.175 x 240 = 42
Second option
Change the percent to an improper fraction
17 ½= 35/2 (you have to multiply (2 x 17) plus 1 equals 35
over 2 ( keep the denominator). It will be 35/2. Put the other number (240) over 100 and
multiply.
35/2 x 240/100 = 42
There is another way . You can simplify
Cancel all the zeros that you have and start to reduce.
6
7 12
35 x 24<span> 0 </span> = 42
2 10
0
1 5
1
17 ½ % of 240 = 42
Add 3 to -3 and -177 then divide -174 by6
Hello from MrBillDoesMath!
Answer:
4( x + 1.5)^2 + 0
Discussion:
4x^2 + 12x + 9 = => factor "4" from first 2 terms
4 (x^2 + 3x) + 9 = => complete the square, add\subtract (1.5)^2
4(x^2 + 3x + (1.5)^2) - 4 (1.5)^2 + 9 =
4 ( x + 1.5)^2 + ( 9 - 4(1.5)^2) = => as (1.5)^2 = 2.25
4 ( x + 1.5)^2 + ( 9 - 4(2.25)) = => as 4 ( 2.25) = 9
4 ( x+ 1.5)^2 + 0
Thank you,
MrB
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
