Answer: a. 1) we can scale a rate by the reciprocal of its 2nd term to find the unit rate..This makes sense as we know with rates we can divide and that dividing is equivalent to multiplying by the reciprocal.
b. 2) To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.
a. 2) what we need to know to solve the problem is first the given fractions 3/4 and 1/5 and 2/3 and 1/6. and we need to find what we need to do to those which is division.
Step-by-step explanation:
THE WORKING PART.....
Jaylon... 3/4 ÷ 1/5 = 3/4 × 5/1 is equal to 15/4 or 3 /34
Rene... 2/3 ÷ 1/6 = 2/3 6/1 is equal to 4 (A whole number
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Answer:
Step-by-step explanation:
- Borrowed amount = $12000
- Interest rate = 4.2% per year simple
<u>Interest in 1 year:</u>
<u>Interest in 5 years:</u>
<u>The difference between 1-year interest and 5-year interest:</u>
Answer:
(4,6)
Step-by-step explanation:
i used a ca lC uLator
Answer:
c = 13.52 units.
Step-by-step explanation:
So for this, lets use the Law of Sines, which says that:
Sin A / a = Sin B / b = Sin C / c
We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.
180 - 80 - 33 = 67 degrees
With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines
Sin A / a = Sin C / c
sin 33/8 = sin 67/c
c = 8*sin67 / sin 33
c = 13.52 units.
Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = - = -
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
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The n th term of an arithmetic sequence is
= + (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39