9514 1404 393
Answer:
1/3
Step-by-step explanation:
If the ratio is common, you can choose any successive numbers to compute it. Smaller numbers may be more familiar. The ratio is ...
5/15 = 1/3
Answer:
The least possible score Pia can earn on the fourth assignment and still be able to finish the week with an average score of 90 on all five assignments is 86
Step-by-step explanation:
The information given are;
Pia's scores in the first three assignments = 87, 85, and 92
The question asks to find upon finishing the week's five assignments the least possible score that Pia can earn on the fourth assignment and still be able to have an average score of 90 on all five assignments
Let the least score required to have an average score of 90 on all five assignments be X
If X is the least score to obtain an average of 90 for the five assignments, then fifth assignment score, will be maximum possible score obtainable to allow the attainment of the average score of 90 which is 100, which gives;
(87 + 85 + 92 + X + 100)/5 = 90
∴ 5 × 90 = 450 = 87 + 85 + 92 + X + 100 = 364 + X
X = 450 - 364 = 86
Therefore, the least possible score Pia can earn on the fourth assignment and still be able to finish the week with an average score of 90 on all five assignments = 86.
Answer:
49 red marbles
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
We are told in the question that:
The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag
Hence: since
P(Blue marbles) = 2/9
Hence,
The number of blue marbles = 63 ÷ 9
= 7
Hence:
2 × 7/9 × 7 = 14/63
Hence, the number of blue marbles = 14 blue marbles
The number of red marbles bus calculated as:
63 - 14 blue marbles
= 49 red marbles
Answer:
6 years
Step-by-step explanation:
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:
Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8
Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:
To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x
x = 6 years to the nearest year
V = P(1 + i)^n
Where,
V = 10.400
P = 10.000
i = 8%
n = ?
Then we will following:
10.400 = 10.000(1+8%)^n
10.400/10.000 = (1 +0,08)^n
1,04 = 1,08^n
Applying Logarithm on both sides, we will have:
Log (1,04) = Log(1,08^n)
Log(1,04) = n.Log(1,08)
n = Log(1,04)÷Log(1,08)
n = 0,5 years
Aplication rules of 3
1 years _______ 12months
0,5 years _______ x
x = 0,5 . 12 months
x = 6 months