Let the number be n. Then 5n + 4 = n. simplifying, 4n = -4, and n = -1
(answer)
45.96 + 1.95b = 387.21
-45.96 -45.96
1.95b = 341.25
/1.95. /1.95
175 boards
Answer:
x = 6
y = -1
Step-by-step explanation:
-2x + 5y = -17 ------ equation 1
3x- 10y = 28 ------- equation 2
equation 1× 2
-4x + 10y = -34 ------- equation 3
equation 2 + equation 3
-x = -6
x = 6
x = 6 substitute for equation 1
-12 + 5y = -17
5y = -5
y = -1
Answer:
D is the answer
Step-by-step explanation:
We want a mixture of low-fat and whole milk to equal 32ounces
Therefore, we know one equation is:
l + w = 32
That 32 ounce mixture should be 2% butter fat
So the amount of butter fat we want is
2% of 32 = 0.64 ounces
At the same time, this mixture contains low-fat and whole milk, which contain 1% and 3.25% butter fat respectively.
therefore, the butter fat in low-fat and whole milk is 0.01l and 0.0325w respectively.
The coefficients are just the percentages in decimal form
Due to the law of conservation of mass,
The addition of these two should yield the final amount of butter fat, meaning the other equation is:
0.01l + 0.0325w = 0.64
Answer:
(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.
Step-by-step explanation:
