Answer:
see explanation
Step-by-step explanation:
Before simplifying the ratios we require them to have the same units.
(1)
$4.50 = 450c, thus
90c : $4.50
= 90 : 450 ← divide both parts by 10
= 9 : 45 ← divide both parts by 9
= 1 : 5
(2)
1.2 m = 1.2 × 100 = 120 cm, thus
80 cm : 1.2 m
= 80 : 120 ← divide both parts by 10
= 8 : 12 ← divide both parts by 4
= 2 : 3
Answer:
16x-35
Step-by-step explanation:
Firstly, take the 4x in the first parenthesis and multiply it by the 4x and the -5 in the second parenthesis.
Second, multiply the +5 by the 4x and the -5 in the second parenthesis.
Finally, take both answers and add them together.
Answer:
x = 1/2 and 3/2
Step-by-step explanation:
The given equation is logₓ (8x-3) - logₓ 4 = 2
Then we have to determine the value of x.
logₓ ![[\frac{(8x-3)}{4}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%288x-3%29%7D%7B4%7D%5D)
= 2 [ since log a - log b = log 
]
Now 
[if 
b = c then 
= b]
4x² = 8x -3
4x² - 8x + 3 = 0
(2x)² - 2(4x) + (4-4) + 3 = 0
[(2x)² - 2 (4x) + 4 ] - 1 = 0
(2x - 2)² = 1
(2x - 2)² = ± 1 ⇒
2x - 2 = 1 and 2x - 2 = -1
x = 3/2 2x = 1
x = 1/2
Therefore, x = 1/2 and 3/2 are the answers.
9514 1404 393
Answer:
1/12 box
Step-by-step explanation:
Each brother gets 1/4 of the remaining 1/3 box, so ...
(1/4)(1/3 box) = 1/(4·3) box = 1/12 box
Each brother gets 1/12 of the original box.
Take out the -13 and add it to 43
