Answer:
80 units
Step-by-step explanation:
v = 1/3 bh
v₁ = 1/3 * b * h₁ = 344
v₂ = 1/3 * b * h₂ = 301
v₁ / v₂ = h₁ / h₂ = 344 / 301
h₂ = h₁ - 10
h₁ / (h₁ - 10) = 344 / 301
344 * (h₁ - 10) = 301 * h₁
344* h₁ - 3440 = 301 * h₁
43 * h₁ = 3440
h₁ = 80
Answer:
- digits used once: 12
- repeated digits: 128
Step-by-step explanation:
In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:
- the ones digit is an even multiple of 2, and the tens digit is even
- the ones digit is an odd multiple of 2, and the tens digit is odd.
We must count the ways these conditions can be met with the given digits.
__
Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.
<h3>digits used once</h3>
If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.
<h3>repeated digits</h3>
Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.
Answer:
m<3=84
m<4=96
Step-by-step explanation:
180-43-41=96
180-96=84
135 feet is the length of the yard
Answer:
----- Banana
----- Almonds
---- Chocolate
Step-by-step explanation:
Let
banana
almonds
chocolate
So, we have:
--- total used
-- i.e. 6.52 * 100 --- total sales from 100 pounds
Required
The number of pounds of each (i.e. x, y and z)
Substitute in
Make x the subject
Substitute in
Substitute
Collect like terms
Divide by 14
Substitute in
To calculate y, we have:
