Answer:
B
Step-by-step explanation:
it means we assume that the progression between 2 interval points is linear (a straight line from the begin of the interval to the end of the interval).
so, a length of 9.5 in falls into the interval [9, 11].
in this interval we see that the change rate is (21 - 11)/(11 - 9) = 10/2 = 5/1
that means for every inch longer we expect 5 oz more.
the line equation there is
y = 5x + b
11 = 5×9 + b
11 = 45 + b
-34 = b
so, the line is
y = 5x - 34
for x = 9.5
y = 5×9.5 - 34 = 47.5 - 34 = 13.5 oz
B is with 13.4 the closest right answer.
Answer:
<h3>X=-3</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
<u><em>DISTRIBUTIVE PROPERTY</em></u>
A(B+C)=AB+AC
A(B-C)=AB-AC
3(4x+4) (First, expand.)
3*4x=12x
3*4=12
12x+12
2(5x+9)-12
2*5x=10x
2*9=18
10x+18
18-12=6
12x+12=10x+6
12x+12-12=10x+6-12 (Subtract 12 from both sides.)
6-12 (Solve.)
12-6=6
12x=10x-6
12x-10x=10x-6-10x (Subtract 10x from both sides.)
12x-10x (Solve.)
12x-10x=2x
2x=-6
2x/2=-6/2 (Then, divide by 2 from both sides.)
-6/2 (Solve.)
-6/2=-3
x=-3
As a result, the final answer is x=-3.
Lightly draw a vertical line at -3 (x= -3 is the divider) on the left side graph x + 1, on the right side graph 1/2x + 2.
because these equations don't match up at the -3 coordinate, you have to draw an open (not colored in) circle at the beginning at the 1/2x-2 equation
Answer:
150/250
Step-by-step explanation:
24/42, 75/135, 150/250, and 75/150 I believe is what you're asking. We know 75/135 is better than 75/150 so 75/150 is out of the equation. If we multiple 75/135 by 2 we get 150/270 which is more than 150/250, so 75/135 is out of the equation. Now to compare 24/42 and 150/250 we can divide their fractions, if we divide 24/42 we get 0.57, so 57%. If we did 150/250 we get 0.6 or 60%. So 150/250 is the best score.
Answer:
4 1/2
Step-by-step explanation:
3/4 divided by 1/6 turns into 3/4 divided by 6/1, but then you multiply instead so its 3/4 x 6/1 = 4/12