Answer:
20% alcohol = 1 gal
10% alcohol = 9 gal
Step-by-step explanation:
Let
x = 20% alcohol
y = 10% alcohol
x + y = 10 (1)
0.20x + 0.10y = 10*0.11
0.20x + 0.10y = 1.1 (2)
From (1)
x = 10 - y
Substitute x = 10 - y into (2)
0.20x + 0.10y = 1.1
0.20(10 - y) + 0.10y = 1.1
2 - 0.20y + 0.10y = 1.1
- 0.20y + 0.10y = 1.1 - 2
-0.10y = -0.9
y = -0.9/-0.10
y = 9 gal
substitute y = 9 into (1)
x + y = 10
x + 9 = 10
x = 10 - 9
x = 1 gal
20% alcohol = 1 gal
10% alcohol = 9 gal
Answer: the sand in the new terrarium is 2 inches deep.
Step-by-step explanation:
Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand. It means that the volume of sand that this terrarium contains is
20 × 8 × 3 = 480 inches³
Zach gets a new terrarium that is larger with the dimensions of 10 by 24. If Zach moved the existing sand in the new terrarium and the height of the sand is represented by h, then the volume of sand into he new terrarium is
10 × 24 × h = 240h
Since the volume of sand in both terrariums is equal, then
240h = 480
h = 480/240
h = 2 inches
It would be 40. youd just add a zero to the end of each number and they add up to 250
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.768 × 100 = 76.8%
The ease way:
1) Move the decimal point two places to the right: 0.768 → 7.68 → 76.8.
2) Add a % sign: 76.8%
"<u>Answer: 76.8%"</u>
Hope this helps!
Thanks!
-Charlie
Answer:
<h2>-11 and 1</h2>
Step-by-step explanation:
Put the values of x to the given expression:
for x = -3:
2(-3) - 5 = -6 - 5 = -11
for x = 3
2(3) - 5 = 6 - 5 = 1
