N + d = 20....n = 20 - d
0.05n + 0.10d = 1.35
0.05(20 - d) + 0.10n = 1.35
1 - 0.05d + 0.10d = 1.35
-0.05d + 0.10d = 1.35 - 1
0.05d = 0.35
d = 0.35/0.05
d = 7 <==== 7 dimes
n + d = 20
n + 7 = 20
n = 20 - 7
n = 13 <=== 13 nickels
Answer:
a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.
Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :
b. This is just a matter of plugging
Step-by-step explanation:
like if this was helpful
Step-by-step explanation:
28+29=57
57+42=99 so 99 should be your answer
That expression would be 6n-3, where n is the number in question.
Answer:
x = 4
Step-by-step explanation:
Solve for x:
12 x - 15 = 3 (2 x + 3)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
12 x - 15 = 6 x + 9
Hint: | Move terms with x to the left hand side.
Subtract 6 x from both sides:
(12 x - 6 x) - 15 = (6 x - 6 x) + 9
Hint: | Combine like terms in 12 x - 6 x.
12 x - 6 x = 6 x:
6 x - 15 = (6 x - 6 x) + 9
Hint: | Look for the difference of two identical terms.
6 x - 6 x = 0:
6 x - 15 = 9
Hint: | Isolate terms with x to the left hand side.
Add 15 to both sides:
6 x + (15 - 15) = 15 + 9
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
6 x = 9 + 15
Hint: | Evaluate 9 + 15.
9 + 15 = 24:
6 x = 24
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 24 by 6:
(6 x)/6 = 24/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 24/6
Hint: | Reduce 24/6 to lowest terms. Start by finding the GCD of 24 and 6.
The gcd of 24 and 6 is 6, so 24/6 = (6×4)/(6×1) = 6/6×4 = 4:
Answer: x = 4
