To know the amount of eights you want to get something that looks like ?/8. Basically, the bottom number needs multiplying by 2 (8 divided by 4 is 2). To keep the fraction accurate you multiply by 2 the top and bottom number so you get:
<span>3/4=(3x2)/(4x2)=6/8</span>
We know that
<span>Out of 120 students----------> 34 chose orange as the favorite fruit
</span>Find the <span>percentage
</span><span>percentage=34/120------> 17/60-----> 0.2833------> 28.33%
for </span>2,000 students
0.2833*2000=566.67-----------> about 567 students
the answer is
about 567 students
Answer:
Step-by-step explanation:
The first two steps are for the purpose of eliminating fractions. Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.
Perform the indicated multiplication, obtaining:
8x - 20 = 9x - 18.
Then combine like terms: -2 = x, or
x = -2.
To complete the formal check, substitute -2 for x in the first equation. This results in:
(1/3)(-4 - 5) = (3/4)(-2 -2), or
-3 = -3
... which is obviously true.
The answer is 799 ur welcome
Answer:
the linearization is y = 1/4x +5/4
the linearization will produce <em>overestimates</em>
the values computed from this linearization are ...
f(3.98) ≈ 2.245
f(4.05) ≈ 2.2625
Step-by-step explanation:
Apparently, you have ...

from which you have correctly determined that ...

so that f(3) = 2 and f'(3) = 1/4. Putting these values into the point-slope form of the equation of a line, we get the linearization ...
g(x) = (1/4)(x -3) +2
g(x) = (1/4)x +5/4
__
The values from this linearization will be overestimates, as the curve f(x) is concave downward everywhere. The tangent (linearization) is necessarily above the curve everywhere.
__
At the given values, we find ...
g(3.98) = 2.245
g(4.05) = 2.2625