Answer:
D. infinitely many solutions
Step-by-step explanation:
to find how many solutions the equation have, we can solve it
here's the given equation:
2(2x-3)+6=4x
our goal is to isolate the variable onto one side
do the distributive property shown in the equation (multiply both 2x and -3 by 2)
4x-6+6=4x
combine like terms (add -6 and 6)
4x=4x
subtract 4x from both sides, as we still have the variable on both sides
0=0
0 is always equal to 0; that's an identity
if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions
I think it's-0.032 I hope this is correct
<u>Define x and y:</u>
Let the first number be x and the second number be y.
<u>Setup the equations:</u>
y + 2x = 10 ----------- (1)
2y + x = 11 ----------- (2)
<u>Solve x;</u>
From (1):
y + 2x = 10
y = 10 - 2x ----------- Sub into (2)
2(10 - 2x) + x = 11
20 - 4x + x = 11
20 - 3x = 11
3x = 20 - 11
3x = 9
x = 3 ----------- Sub into (1)
y + 2(3) = 10
y = 10 - 6
y = 4
<u>Find the numbers:</u>
First number = x = 3
Second number = y = 4
Answer: The two numbers are 3 and 4.
Answer:
20
Step-by-step explanation:
The cost of the x mangoes was ...
c = 10(x/4)
The revenue from the sale of mangoes was ...
r = 20(x-5)/5
The profit is the difference between revenue and cost:
10 = r - c = 20(x -5)/5 -10(x/4) = 1.5x -20 . . . . substitute and simplify
30 = 1.5x . . . . . add 20
20 = x . . . . . . . .divide by 1.5
The trader bought 20 mangoes.
_____
<em>Check</em>
He paid 20(10/4) = 50 naira. He sold the 15 good mangoes for 20/5(15) = 60 naira, so made a 10 naira profit.
Answer: 60
Step-by-step explanation: