Answer:
67
Step-by-step explanation:
Since the diagonals in a rectangle are congruent, AC=BD and
7x+18=10x-3
We need to separate x -- to do that, we can first subtract 7x from both sides, resulting in
18=3x-3
Next, add 3 to both sides to get
21=3x
Divide both sides by 3 to get
x=7
Then, we just plug x into 10x-3 to get BD = 7*10-3 = 67
Answer:
Step-by-step explanation:
-2(11-12)=-4(1-6x) becomes -2(-1) = -4(1 - 6x)
Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then
-1 = 2 -12x, or
-3 = -12x
Simplifying this result, we get 1 = 4x, or x = 1/4
We conclude that -2(11-12)=-4(1-6x) has ONE solution, which is x = 1/4
From the first equation,
x+5 = 3(y+5)
x = 3y + 15 - 5
Now substitue x in the second equation with (3y +15 - 5).
x-5 = 7(y-5)
(3y+15-5) - 5 = 7(y-5)
3y +5 = 7y - 35
-4y = - 40
y = 10
Since y is 10, and x is (3y +15 - 5),
x = 30 + 15 - 5 = 40
Solution:
Let the volume (in litres) of acids used be:
x1=amount of 25% acid
x2=amount of 40% acid
x3=3*x2=amount of 60% acid
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