.75 because .75 is .25 from 1.0 and .25 from .5
Answer:
Step-by-step explanation:
If Quan had 15 and Kaden had 3 times as much, then Kaden had 15(3) = 45. If he spent 10 then he had 35 left. The amount of money Quan had after his mom gave him some was 4/5 the amount of Kaden's 35 (let x = the amount of money Quan has after his mom gives him some):
35 divides by the 5 in the denominator 7 times, and 7 times 4 is 28. That's how you get your 28 in part a.
For part b., he started with 15 and ended with 28, so his mom gave him 28-15=13. That's how you get the 13.
Answer:
The other length of the leg is <em>8 feet.</em>
Step-by-step explanation:
To find the answer we have to find what<em> 10</em> and <em>6 is squared.</em> <em>10 x 10 = 100</em>.
<em>6 x 6 = 36. </em>Now since we are trying to find the length of the other leg, we will <em>subtract 100 from 36</em> and we get <em>64</em>. Then for the last step, we will figure out what number<em> squared equals 64.</em> Because 8 x 8 = 64, <em>8 is our answer.</em>
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
300-90= 90-90 +0.11x 210=0.11x 210/.11 0.11x/0.11
1909 = x I think but Idk
