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.
a stretch by 3 and a rotation
Answer = 55,25 inches
Solution -
let's take x as length and y as width of the metal piece. As per the question x is 30 more than y,
⇒ x = y + 30
Then four square pieces of side 6 are cut from each corner,
so the new length and width are
x-12 , y-12
Then the volume of the new box created will be
(x-12)(y-12)6
in the question the volume of the given figure is given to be 3354
so (x-12)(y-12)6 = 3354
putting the value of x in the the above equation
⇒ (y+30 - 12)(x-12) = 3354/6 = 559
⇒ (y+18)(y-12) = 559
⇒ y² + 6y - 775 = 0
⇒ y² + 31y - 25y -775 = 0
⇒ (y+31)(y-25) = 0
⇒ y = -31, 25
as length can not be -ve , so y = 25
then x = 25+30 = 55
Hence the dimensions of the metal piece are 55, 25 inches
Answer: What topic is this again??
Answer:
x = 1\2 and y = 0
Step-by-step explanation:
8x + 3y = 4 * 5\3
14x - 5y = 7 * 1
40\3x + 5y = 20\3 -------- 1
14x - 5y = 7 ----------------- 2
add equation 1 and 2
82\3x = 41\3
x = <u>4</u><u>1</u><u> </u> <u>3</u>
3 * 82
x = 1\2
subtitute 1\2 for x in equation 2
14\2 - 5y = 7
7 - 5y = 7
5y = 7 - 7
y = 0\5
y = 0
thus x = 1\2 and y = 0
