A powerful way to find out is to solve the equation. Let's try that.
3 (d + 11) = 6 (d + 33)
Eliminate the parentheses: 3d + 33 = 6d + 198
Subtract 3d from each side: 33 = 3d + 198
Subtract 198 from each side: -165 = 3d
Divide each side by 3 : - 55 = d
There it is ... the solution to the original equation.
'd' has to be -55, otherwise the original equation isn't a true statement.
-55 is the ONLY number that 'd' can be. If you write in any other number
for 'd', the equation will be false.
For example, less see what the equation says when d=2 :
3(2 + 11) = 6(2 + 33)
3( 13 ) = 6( 35 )
39 = 210
Is that a true statement ? Is 39 equal to 210 ?
No. 39 and 210 are not equal. They are different.
So the equation is not true when d = 2 .
The equation is true ONLY when d = -55 .
The equation has exactly one solution.
Answer:
The number is 75
Step-by-step explanation:
Let x be the unknown number
of means multiply and is means =
1/5 x = 15
Multiply each side by 5
5 * 1/5 x = 5*15
x = 75
3 feet deep for 5 feet high
17 feet high
17×3 = 51
He has to dig a hole 51 feet deep.
Hope this helped! :)
Answer:
u+v=7-7i
u-v=3+3i
Step-by-step explanation:
u+v
(5-2i)+(2-5i)
Put like terms together:
(5+2)+(-2i-5i)
Simplify:
7+-7i
7-7i
u-v
(5-2i)-(2-5i)
Distribute:
(5-2i)+(-2+5i)
Put like terms together:
(5-2)+(-2i+5i)
3+3i
Compare y = 0.25x to
y = k x
You should see readily that k = 0.25.