Answer:
- bonds: $18,000
- stocks: $6,000
Step-by-step explanation:
You have a total of $24,000 invested in stocks and bonds in the ratio 1 : 3. You want to know the amount invested in each category.
<h3>Ratio</h3>
Recognizing that the total number of ratio units is 1+3 = 4, and that total represents $24,000, we see that each ratio unit represents $24,000/4 = $6,000.
Multiplying the ratio by $6,000, we see the investment amounts are ...
stocks : bonds = 1 : 3 = $6,000 : $18,000
$6,000 is invested in stocks; $18,000 is invested in bonds.
P=2(L+W)
A=LW
given
P=62
62=2(L+W)
divide 2
31=L+W
minus W
L=31-W
sub into other one
A=LW
A=(31-W)(W)
228=31W-W^2
times -1
W^2-31W=-228
add 228 both sides
W^2-31W+228=0
factor
what 2 numbers multiply to get 228 and add to get -31
-19 and -12
(W-19)(W-12)=0
set to zero
W-19=0
W=19
W-12=0
W=12
sub back
L=31-W
L=31-12
L=19
or
L=31-19
L=12
the doorway is 12in by 19in
Answer:
a = 9/2
Step-by-step explanation:
In order for the equation to be true, the value of the scalar multiplier must be ...
15/3 = -10/-2 = 35/7 = 5
So, you're solving ...
(2/3)a + 2 = 5
(2/3)a = 3 . . . . . . subtract 2
a = 9/2 . . . . . . . . multiply by 3/2
Answer:
Once
Step-by-step explanation:
8 can only go into 9 once, if you were to do it a second time, there would be a remainder of 7.
Answer:
17x^2+31x+3
Step-by-step explanation:
