Answer:
12 years
Step-by-step explanation:
T + 5 = A
Therefore T =A - 5
In three years T = 3+ (A-5)
thus T = A - 2
Also in three years T = 2/3 (A+3)
Equating the two
A -2 = 2/3 (A+3)
3A - 6 = 2A + 6
3A - 2A = 6 + 6
Therefore A = 12
Answer:
height=6 ft
Step-by-step explanation:
-The volume of a rectangular prism is given by the formula:

#We make h the subject of the formula the solve for it:

#Substitute to solve for height:

Hence, the prism has a height of 6 ft.
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<u><em>The correct answer is: </em></u>C) his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.
<u><em>Explanation: </em></u><span><u>To solve this rational equation, we cross multiply: </u>
8*(x-4)=2*(x+2).
<u>Using the distributive property, we have </u>
8*x-8*4=2*x+2*2;
8x-32=2x+4.
<u>Subtract 2x from each side: </u>
8x-32-2x=2x+4-2x;
6x-32=4.
<u>Add 32 to each side: </u>
6x-32+32=4+32;
6x=36.
<u>Divide both sides by 6:</u>
</span></span>

<span><span>=</span></span>

<span><span>;
x=6.
<u>Extraneous solutions</u> are solutions that come about in the problem but are not valid solutions to the problem; the only values of x that would give this sort of answer are -2 and 4, since these are the two values that would make one of the denominators 0 (we cannot divide by 0).</span></span>
Answer:
x = 45/7
Step-by-step explanation:

Here, you can more easily see what the fractions look like.
In order to cross-multiply, you have to multiply 5 with 9, and 7 with x.
45 = 7x
Then, you isolate x by dividing 7 on both sides:
45/7 = x
Hope I helped :)