1. The ratio of monthly income to the savings in a family is 5:4. If the savings be $9000, find the income and the expenses.
1 answer:
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Answer:
= 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 3
this indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
= 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4
Answer:
Answer D: 8.7 cm
Step-by-step explanation:
First compare the actual diameters of both cables to find out which one is larger. If we write both diameters in fraction form (as they are given), we need to have them expressed with the same denominator for a straight forward comparison:
Bundle A:
Bundle B:
So we multiply this last fraction by 2 in numerator and denominator to obtain the same denominator as for Bundle A without actually changing its numerical value:
So now we compare Bundle A with bundle B, and see that bundle B has the larger diameter: 22/8 inches
The hole has to be 25% larger than this larger diameter, so we estimate 25% of 22/8 in is:
inches
Therefore, the hole must be of diameter 22/8 in plus 0.6875 in = 3.4375 in
Now we convert this value into centimeters by multiplying it by 2.54 (since one inch is 2.54 cm):
3.4375 * 2.54 = 8.73125 cm
which rounded to the nearest tenth as requested in the problem is: 8.7 cm