Answer:
good luck!
Step-by-step explanation:
Answer: 140 ml
Explanation:
let x be the original amount of water
x - 15% = 119
But x = 100% because it’s the original
=> 100% - 15% = 119ml
85% = 119ml
Find the amount of water in 15%:
85% = 119
15% = y
=> 85/15 = 119/y
Cross multiply:
85y = 15 x 119
85y = 1785
y = 1785/85
y = 21
But y = 15% therefore, 15% = 21ml
Back to our equation:
x - 15% = 119ml
x - 21ml = 119ml
x = (119 + 21)ml
x = 140ml
Therefore, the original amount of water is 140ml
Answer:
Step-by-step explanation:
To do these the main think to consider is the boundaries of the functions. In other words, check when the boundary is true and use that function. And so,
If we look at 1a.) f(-3) this means that x=-3. Now check the boundary condition of both equations first. For 6x-1 use it only if x<0 well is -3<0? Yes, so we will use this function. But let's check why we won't use 7x+3 this is because the boundary is x≥0 and since x=-3, -3≥0 is false so we dont use that function. Therefore:
f(x)=6x-1
f(-3)= 6(-3) - 1 = -18 - 1 = -19
1b.) Same idea so we will use 7x+3 because 0≥0 is true and so:
f(x)= 7x + 3
f(0) = 7(0) + 3 = 0 + 3 = 3
1c.) We will use the second equation since 4≥0 is true and so:
f(x) = 7x + 3
f(4) = 7(4) + 3 = 28 + 3 = 31
You will use the same logic to solve 2 and 3. Good luck! Hope this helps!
Set up a ratio of height over shadow length:
3.2/1.29 = X/39.25
Cross multiply:
1.29x = 3.2 * 39.25
Simplify:
1.29x = 125.6
Divide both sides by 1.29:
x = 97.364 meters
Round to the nearest meter = 97 meters
