Okay so this is easy conversion.
40 quarters=10$
60 dimes =24 quarters
30 dimes= 12 quarters=3$
200 dimes=80 quarters
Here's how you solve this. So, x+y=2, right? Let's isolate x. x+y-y=2-y. x=2-y. NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y! 3x+2y=5. 3(2-y)+2y=5. (3*2)+(3*-y)+2y=5. 6+(-3y)+2y=5. 6+(-y)=5. 6+(-y)-6=5-6. -y=-1. -y/-1=-1/-1. y=1.
So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2. x+1=2. x+1-1=2-1. x=1. 1+1=2, so that works; let's check the other equation. 3(1)+2(1)=5. 3+2=5. 5=5. That's correct!
Answer: x=1, y=1
9514 1404 393
Answer:
congruent
Step-by-step explanation:
Angles supplementary to the same angle are congruent.
__
Here, angles 1 and 3 are both supplementary to angle 2, so ...
angle 1 and angle 3 are congruent
Initial number = 36
Final number = 63
Change in number = 63 - 36
= 27
Percentage change = (27/36) * 100
= (3/4) * 100
= 3 * 25
= 75 percent
So the percentage change from 36 to 63 is 75%. I hope the procedure for solving is absolutely clear for you to understand. In future you can attempt such problems by following the procedure shown and you will require no further help from outside. Just be careful about the numerator and the denominator.
Answer:
D. 10.6
Step-by-step explanation:
Using Pythagoras' theorem
hyp² = side ² + side²
hyp² = 7² + 8²
hyp² = 49 + 64
hyp² = 113
hyp = sqrt of 113
hyp = 10.6
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