1/2 of 128 is 64, so she added 64 grams of sugar, which means she still needs to add more sugar. 96 - 64 is 32, so she still needs to add 32 grams of sugar. Hope this helps!
The original ratio is 6 boys= 5 girls, so if another 6 boys joined, another 5 girls would need to join, too.
The first one is of order 5, so it has either 1, 3 or 5 real roots (unless any coefficent was complex). Proof complete :)
The other one, if it has a solution, it must be in [-1;1]. Because it only gives positive results the solution is further restricted to [0;1]. Because the cosine function is continuous and strictly decreasing on this interval, the difference of x and it's cosine will shrink up to some point within the interval where it gets to 0 (the solution) and then flips sign (the cosine gets less than the number), further decreasing until the end of the interval.
The combined distance between CD and DE is CE, so...
2x+4 + 6 = x+14 Simplify like terms..
2x + 10 = x + 14 Subtract x from both sides..
x + 10 = 14 Subtract 10 from both sides...
<h2><u><em>
x = 4</em></u></h2>
Proof: 2 (4) + 4 + 6 = 4 + 14
8 + 10 = 18
<em> Check</em>
Answer:
f(t) = 5×0.87^t
Step-by-step explanation:
The general form for an exponential function described in this fashion is ...
... f(t) = (starting value) × (1 + (percent change))^t
Here, the "percent change" is -13%, or -0.13.
Then the value (1 + percent change) is (1 + (-0.13)) = 0.87. Putting this and the starting value into the form above, we have ...
... f(t) = 5 × 0.87^t
