Answer: Choice D
b greater-than 3 and StartFraction 2 over 15 EndFraction
In other words,
b > 3 & 2/15
or
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Explanation:
Let's convert the mixed number 2 & 3/5 into an improper fraction.
We'll use the rule
a & b/c = (a*c + b)/c
In this case, a = 2, b = 3, c = 5
So,
a & b/c = (a*c + b)/c
2 & 3/5 = (2*5 + 3)/5
2 & 3/5 = (10 + 3)/5
2 & 3/5 = 13/5
The inequality is the same as
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Let's multiply both sides by 15 to clear out the fractions
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Now isolate the variable b
Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how
47/15 = 3 remainder 2
The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.
Answer:
The vertex is the point
Step-by-step explanation:
we know that
The equation of the absolute value in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex
In this problem we have
so
---> the vertex represent a maximum
therefore
The vertex is the point
Answer:
This month the bakery used 300 kilograms of butter.
Step-by-step explanation:
The amount of butter used last month = 240 kilograms
The amount of butter extra used this month = 25%
Now, 25 % of 240 kg =
= 60 kilograms
⇒The extra butter used this month = 60 kg
So,the <u>total butter used this month = 240 kg + 60 kg = 300 kilograms</u>
Hence, this month the bakery used 300 kilograms of butter.
Answer:
1
Step-by-step explanation:
Use the form for the factoring of the sum of cubes.
To make this easier to write, we'll use the substitutions ...
a = sin(θ), b = cos(θ)
It looks like you may want to simplify ...
(a³ +b³)/(a +b) +ab
= ((a +b)(a² -ab +b²))/(a +b) +ab
The factors of (a+b) cancel. In this case, we know that a² +b² = 1, so this becomes ...
= (1 -ab) +ab
= 1