Mary is thinking of three consecutive even integers, x, y, and z. Three times the value of z exceeds half the value of x by 37. What is the value of x?
1 answer:
Answer:
x = 10
Step-by-step explanation:
You know z = x+4, so ...
3z -x/2 = 37 . . . . . . . . the given relation
3(x +4) -x/2 = 37 . . . . substituting for z
5/2x +12 = 37 . . . . . . .eliminate parentheses and simplify
5/2x = 25 . . . . . . . . . . subtract 12
x = 10 . . . . . . . . . . . . . multiply by 2/5
_____
<em>Check</em>
3z = 3·14 = 42
x/2 = 10/2 = 5
42 exceeds 5 by 37 . . . . true
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1.2
Width-24 Length-29
Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).
Step-by-step explanation:
Sn=n/2(2a+(n-1)d)
910=n/2{2a+(n-1)d}
1820=n{2a+(n-1)d}
1820=20{2a+(20-1)d}
1820=20{2a+19d}
91=2a+19d
An=a+(n-1)d
95=a+(20-1)d
95=a+19d
91=2a+19d
---------------
4=-a
a=-4
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91=2(-4)+19d
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91+8=19d
99=19d
d=99/19
A=-4
I believe it's 7.5 but I could be wrong.
Answer:
3 * 10^4
Step-by-step explanation:
