x = total number of students
equation is:
(3/4)x = 1464
to solve for x divide both sides by 3/4
x = 1464 / 3/4 = 1952
x = 1952
there are 1952 total students
The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10
The steps are:
1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4
2) Combine like terms => 3 [2^ (2t - 5) ] = 14
3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3
4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)
5) Divide both sides by log (2) =>
log (14/3)
2t - 5 = -------------------
log (2)
6) transpose - 5+>
log (14/3)
2t = ------------------- + 5 = 2.22 + 5
log (2)
2t = 7.22
7) divide both sides by 2 => t = 7.22 / 2 = 3.61
Answer:
16a + 22t = 11826
Step-by-step explanation:
Cost of 1 (a) ticket = $16
Cost of 1 (t) ticket = $22
Total tickets sold = 648
Cost of 648 tickets = $11826
So eqn will be => 16a + 22t = 11826
Hope this helps but I think it might be:
Part A: c=0.75p
the cost of shipping for 2 pounds
c=0.75p
c=0.75*2
c=$1.50
Part B: c=0.05p
The distributive property <span> lets you multiply a sum by multiplying each addend separately first and then summing the products together.
Marla did 65 x 7 = 455 sit-ups during the week
65 sit-ups can be written as 60+5 sit ups or as 50+15 sit-ups or as 40+25 sit-ups (these are just examples)
Applying the distributive property:
Marla did: (60 x 7) + (5 x 7) = 455 sit-ups during the week, or
Marla did: (50 x 7) + (15 x 7) = 455 sit-ups during the week, or
Marla did: (40 x 7) + (25 x 7) = 455 sit-ups per week
You can try this with any two numbers whose sum is 65 and all will give you the same answer.
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