A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).
Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.
Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.
**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))
Original number = 10x + y
Reversed/New number = 10y + x
Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2
Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6
Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2
That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.
2 + y = 6
y = 4
number "xy" = 24
</span>
Answer:
84
Step-by-step explanation:
el 10% de 120= 12. 120-12= 108
el 20% de 120=24. 120-24=96
el 30% de 120=36. 120-36=84
el 40% de 120=48. 120-48=72
el 50% de 120=60. 120-60=60
Answer:
x=1,y=-2
Step-by-step explanation:
Answer:
y=20x+100
y-intercept= 100
slope= 20/1
Step-by-step explanation:
Since 100 is the constant, the y-intercept(b) is equal to 100. And if she earn's 20 dollars each week it's the changing amount.
Diagonal of the square (d):
d = a · √2 = a · 1.414 ( a is a length of a side of the square )
a = 9 : 1.414 = 6.365 inches
Total length:
4 · a + 2 · d = 4 · 6.365 + 2 · 9 = 25.46 + 18 = 43.46 ≈ 43.5 inches.
Answer: A ) 43.5