Answer:
41/5
Step-by-step explanation:
First we change the 8 and 1/5% to 8.2%
Write the fraction down as a number over one = 8.2/1
Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
8.2/1 = (8.2 × 10)
(1 × 10) = 82/10
Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.
Answer:
x = 1
Step-by-step explanation:
The line of symmetry is defined as the x value of the vertex of a parabola.
To find the vertex of a parabola, we need to convert to vertex form.
Vertex form looks like this:
, where -h is the x value of the vertex and k is the y value of the vertex.
H is also defined as 
where a is the coefficient of x squared and b is the coefficient of the x term.
The coefficient of the x squared term is 1 and the coefficient of b is -2.
Plugging in, we get 
, which is equal to 1. This can then be plugged into the equation as
, but k doesn't matter because all we need is the x-term. Now, our x-term is negative h, which is negative negative one, which is positive one. Therefore, our answer is x = 1.
Answer:
g = At/60
Step-by-step explanation:
Given:
A = 60(g/t)
60(g/2) is a mistake in the question which the question has corrected in the comments)
A is the average for a professional hockey goalie.
g is the number of goals scored against the goalie.
t represents the time played in minutes.
Finding 'g':
A = 60(g/t)
can be written as A = (60*g)/t
Multiplying by 't' on both sides:
At = (60*g)*t/t
At = 60*g
Dividing by '60' on both sides:
At/60 = 60*g/60
At/60 = g
⇒ g = At/60
Answer:
7.5
2.5√18.75 -
18.75
7.5
2.5√18.75
Step-by-step explanation:
The answer is. $1500.
Let x represent the amount invested at 5%, then is the amount invested at 8%, and is the amount invested at 6%. Since the total return is $1270:
let money invested at 5%= x
money invested at 6%
= 20000- (X+X-1500)
21500-2x
Total interest for 1 year.
x×5/100+ (x-1500)×8/100+(21500-2x)×6/100 = 1270
5x/100+8(x-1500)/100+(21500-2x)6/100=1270
5x+8x-12000+129000-12x = 127000
x+117000 = 127000
x = 10000
money invested at 8%
=21500-2×10000
= 1500.
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