Answer:
Step-by-step explanation:
This rotation would create a sphere.
Let x be the digit in the tens place and y be the digit in the ones place.
so, the digit is xy
<span>
The ten's digit of a two digit number is 1 more than 4 times the units' digit.
</span>x = 4y + 1
<span>63 is subtracted from the number, the order of the digits is reversed
</span>10x + y - 63 = 10y + x
9x - 9y = 63
x = 4y + 1 ------------ (1)
9x - 9y = 63 ---------- (2)
Sub (1) into (2)
9(4y + 1) - 9y = 63
36y + 9 - 9y = 63
27y = 63 - 9
27y = 54
y = 2 ------- sub into (1)
x = 4(2) + 1 = 9
x = 9, y = 2
The number is 92
Answer:
t=57, u=31, v=92
Step-by-step explanation:
So we know that 180= 5x+2+2x+9+8x+4 which simplifies to 180 = 15x+15. Subtract 15 from both sides to get 165=15x and then divide by 15 to get 11=x. NOw we can plug this into the three angles as x so t = 5*11+2, t=55+2, t=57, then u = 2*11+9, u=22+9, u=31, and lastly v=8*11+4, v= 88+4, and v=92
Izzy used 2 9/10 yards of rope for the tire swing
Hope this helps :)
7(5x+3y=27)
-5(7x+9y=51)
———————
35x+21y=189
-35x-45y=-255
————————
-24y=-66
Y=-66/-24
Y=2.75
——————-
Now replace Y with one of the equations to find x
—————
5x+3(2.75)=27
5x+8.25=27
5x=27-8.25
X=18.75/5
X=3.75
——————
Final answer =
X=3.75
Y=2.75
