2.2, 5/2, square root of 10, 7/2, -4.8
Answer:
Paul will have no more than $ 450 in next 8 weeks.
Step-by-step explanation:
From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount (
), measured in monetary units, and week earning (
), measured in monetary units, multiplied by a number of weeks (
), dimensionless:
(1)
Now we clear the number of weeks within the formula:
If we know that 
, 
and 
, then the number of weeks is:
Paul will have no more than $ 450 in next 8 weeks.
Answer:
Step-by-step explanation:
Let equal sides of an isosceles triangle = a inches
Base = 
inches
Perimeter = 32 inches
a + a + = 32
Subtract 2 from both sides
a = 12 inches
base = 
= 6 + 2
Base = 8 inches
Answer:
96
Step-by-step explanation:
First we need to know the mean of the Steve's scores on 6 of his tests. Given the six scores as 92, 78, 86, 92, 95, and 91.
Mean = sum of the scores/Total test taken
Mean = 92+78+86+92+95+ 91/6
Mean = 534/6
Mean = 89
If he took the seventh test and the mean score is raised by 1 them the new mean will be expressed as;
New mean = 92+78+86+92+95+ 91+x/7 = 89+1
Where x is the new score. Note that of a new score is added, the total year taken will also change to 7
To get x;
92+78+86+92+95+ 91+x/7 = 89+1
92+78+86+92+95+ 91+x/7 = 90
534+x/7 = 90
Cross multiply
533+x = 90×7
533+x = 630
x = 630-534
x = 96
Hence the score of the seventh test is 96
Answer:
It is rational
Step-by-step explanation:
The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1
Therefore,
(3pi)/(2pi) = (3/2)*(pi/pi)
(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above
(3pi)/(2pi) = 3/2
we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.
