X=the units digit
y=the tens digit.
The number is: 10y + x
The reversed number is: 10x+y
The units digit is twice the tens digit, then: x=2y
a)we suggest this system of equations:
x=2y
2(10y+x)=12+(10x+y)
We can solve this system of equations by substitution method:
2(10y+2y)=12+[10(2y)+y]
2(12y)=12+21y
24y=12+21y
24y-21y=12
3y=12
y=12/3
y=4
x=2y
x=2(4)=8
The number is: 10y+x=10*4+8=48
Answer: the number is 48.
b)
the number is: 10x+y
we can suggest this system of equations:
8(x+y)=(10x+y)+19
x=y-2
We can solve this system of equations by substitution method.
8(y-2+y)=[10(y-2)+y]+19
8(2y-2)=11y-20+19
16y-16=11y-1
16y-11y=-1+16
5y=15
y=15/5
y=3
x=y-2
x=3-2=1
The number is: 10x+y=10*1+3=13
Answer:the number is 13.
c)
The number is: 10x+y
The number reversed is: 10y+x
we can suggest this system of equations:
y=2x
2(10x+y)=9+(10y+x)
We solve this system of equations by substitution method:
2(10x+2x)=9+[10(2x)+x]
2(12x)=9+21x
24x=9+21x
24x-21x=9
3x=9
x=9/3
x=3
y=2x
y=2*3=6
The number is: 10x+y=10*3+6=36
Answer: the number is 36
Answer:
65.63%
Step-by-step explanation:
21: 32*100 =
(21*100): 32 =
2100: 32 = 65.63
Answer:
h=-7
Step-by-step explanation:
-4(-6h - 7) = 9h + 10h - 7
24h+28=19h-7
Both side -28
24h+28-28=19h-7-29
24h=19h-35
Both side -19h
24h-19h=19h-19h-35
5h=-35
h=-7
9514 1404 393
Answer:
A- Triangle 2: {8, 15, 17}
Step-by-step explanation:
You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.
Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".
The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.
