Let us say that:
a = ones
b = fives
c = twenties
So that the total money is:
1 * a + 5 * b + 20 * c = 229
=> a + 5b + 20c = 229 -->
eqtn 1
We are also given that:
c = a – 5 -->
eqtn 2
a + b + c = 30 -->
eqtn 3
Rewriting eqtn 3 in terms of b:
b = 30 – a – c
Plugging in eqtn 2 into this:
b = 30 – a – (a – 5)
b = 35 – 2a -->
eqtn 4
Plugging in eqtn 2 and 4 into eqtn 1:
a + 5(35 – 2a) + 20(a – 5) = 229
a + 175 – 10a + 20a – 100 = 229
11a = 154
a = 14
So,
b = 35 – 2a = 7
c = a – 5 = 9
Therefore there are 14 ones, 7 fives, and 9 twenties.
Answer:
8:16 and 7:14
Step-by-step explanation:
5:10 is a 1 to 2 ratio and so are 8:16 and 7:14
I got this. Bottom of the triangle. that flat line is 180 degrees. you have an angle of 120, leaving an angle of 60. if you look at the top, that angle matches the other. so you have 65 degrees on one side, and 60 on the other. so 180-65-60=55. so X=55
Answer:
the correct answer is b
Step-by-step explanation:
The reason why B is the correct answer is because The segment that is a radius is RO
Use the power, product, and chain rules:
• product rule
• power rule for the first term, and power/chain rules for the second term:
• power rule
Now simplify.
You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.
On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify
Differentiate both sides and you end up with the same derivative:
