Let <em>n</em> be the unknown number. We can write it as
<em>n</em> = 10<em>a</em> + <em>b</em>
with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).
Reversing the digits gives another number
<em>m</em> = 10<em>b</em> + <em>a</em>
The first number is increased by 54 when the digits are reversed, which means
<em>m</em> = <em>n</em> + 54 → 10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54 → 9<em>b</em> - 9<em>a</em> = 54 → <em>b</em> - <em>a</em> = 6
The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so
<em>a</em> = 3<em>b</em>
Substitute this into the previous equation and solve for <em>b</em> :
<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6 → <em>b</em> = -3
Solve for <em>a</em> :
<em>a</em> = 3<em>b</em> = 3(-3) = -9
Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93
B because you are looking for an equation in the problem so if it starts at 16 and you are adding 2 gallons per hour you get 16+2x. Then for the other tank you start with 20 gallons and you are loosing 3 gallons per hour so you get 20-3x. To solve the equation you make them = each other so then you have 16+2x=20-3x.
Answer:
value of y = 25
Step-by-step explanation:
substituting the value of x as 10 ;
- y = (2×10) + 5
- y = 20 + 5
- y = 25
<em>i</em><em> </em><em>hope</em><em> </em><em>i</em><em>t</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer: x^3 + x^2 - 17x + 12
Step-by-step explanation:
(x+4)(x^2-5x+3)
x^3 - 5x^2 + <u>3x</u> + 4x^2 <u>- 20x</u> + 12
underlined and bolded can be combined
That leaves you with x^3 + x^2 - 17x + 12
Answer: well, just multiply x and y by the scale factor
Step-by-step explanation:A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor
of 0.4 with the origin as the center of dilation.
If (x, y) represents the location of any point on the original square, which ordered pair represents the
coordinates of the corresponding point on the resulting square.
GIVE ME DA BRAINS
