Answer:
15 gallons
Step-by-step explanation:
If x is the gallons of 30% butterfat cream, and y is the gallons of 3% butterfat milk, then:
x + y = 45
0.30 x + 0.03 y = 0.12 (45)
Solve the system of equations with substitution or elimination. Using substitution:
0.30 x + 0.03 (45 − x) = 0.12 (45)
0.30 x + 1.35 − 0.03 x = 5.4
0.27 x = 4.05
x = 15
You need 15 gallons of 30% butterfat cream.
Answer:
.8 x n = -7 x n - 43
Step-by-step explanation:
The answer is C, if I'm wrong text me sometime and please explain it for me
For this case we have to, by defining properties of powers and roots the following is fulfilled:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
We must rewrite the following expression:
![\sqrt [3] {8 ^ {\frac {1} {4} x}}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B8%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%7D%20x%7D%7D)
Applying the property listed we have:
![\sqrt [3] {8 ^ {\frac {1} {4} x}} = 8 ^ {\frac{\frac {1} {4} x} {3} }= 8 ^ {\frac {1} {4 * 3} x} = 8 ^ {\frac {1} {12} x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B8%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%7D%20x%7D%7D%20%3D%208%20%5E%20%7B%5Cfrac%7B%5Cfrac%20%7B1%7D%20%7B4%7D%20x%7D%20%7B3%7D%20%7D%3D%208%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%20%2A%203%7D%20x%7D%20%3D%208%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B12%7D%20x%7D)
Using the property again we have to:
![8 ^ {\frac {1} {12} x} = \sqrt [12] {8 ^ x}](https://tex.z-dn.net/?f=8%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B12%7D%20x%7D%20%3D%20%5Csqrt%20%5B12%5D%20%7B8%20%5E%20x%7D)
Thus, the correct option is option C
Answer:
Option C
On a number line, with the negative numbers on the left and the positive number on the right
the smaller the number, the farther it is to the left
so if you plot them on the number line
-10 is less than -4 because it is to the left of -4
so which make the statement true
what numbers are less than -4
-10 is to the left so this is an answer A
-4.3 is to the left so this is also an answer B
-3.9 is greater than becasue it is to the right so this is not answer C
2 is positive and to the right so it is not answer D
the correct answers are A and B
