Answer:
x/2-9=24
Explanation:
Nine less:
-9
Half a number:
x/2
So nine less than half a number:
x/2-9
Is 24:
=24
So x/2-9=24
To solve for the number:
Add 9 to both sides:
x/2-9+9=24+9
x/2=33
Multiply both sides by 2:
2(x/2)=33(2)
x=66
Step-by-step explanation:
y+6y-2= -12
7y-2 = -12-2
7y. = -14
7y/7y = -14/7y
y = -2
-5x+-3x
-8x-2-2= -12
-8x -4= -12-4
-8x = -16
-8x/-8x = -16/-8x
x = -2
Answer:
Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment
In parallelogram ABCD, AC is a diagonal.
Given:
and
As, we know that opposite angles in parallelogram are equal.
therefore,

Now, in ΔADC
Sum of the measures of angles in a triangle is 180 degree.

Substituting the values of
and
we have;
or

Subtract
from both sides we get

Therefore, the measure of angle CAD is
.
Answer:
1320
Step-by-step explanation:
There are three "spots" for balls.
__ __ __
For the first "spot," and without replacement, meaning we don't put the balls back, there are 12 choices.
12 __ __
But for the next spot, there are only 11 choices. And for the next, there are only 10!
12 11 10
Since these are independent events, we multiply them together.
12 x 11 x 10 = 1320
There are 1320 possibilities!
How could we do it on the calculator, much faster? The question says "in order," so we know it's a <em>permutation,</em> not a <em>combination.</em> This is the nPr button on the calculator (math -> prb -> 2). Just type in 12 nPr 3 and you get the same answer, 1320.
Answer:
0.85 < 8/9 < 0.92
Step-by-step explanation:
Hope this helps!!