Answer:
= 391/11
Let say number = N
a certain number is increased by 5
= N + 5
,one-half of the result
= (N + 5)/2
Three -fifths of the excess of 61 over the number.
= (3/5)(61 - N)
Equating both
(N + 5)/2 = (3/5)(61 - N)
multiplying by 10 both sides
=> 5(N + 5) = 6(61 - N)
=> 5N + 25 = 366 - 6N
=> 11N = 391
=> N = 391/11
Step-by-step explanation:
I included the graphs of the functions f(x) (given in blue) and g(x) (given in red) in the attached pdf file.
The questions are:
1) Find u(1) and
2) Find v(1)
Solutions:
1) u(x) = f(x) g(x) => u(1) = f(1) * g(1)
From the graphs f(1) = 1 and g(1) = 2, then f(1)*g(1) = 1*2 =2
Answer: 22) v(x) = f(x) / g(x) => v(1) = f(1) / g(1) = 1 / 2 = 0.5
Answer: 0.5
Y = 5.5x is a linear equation (i.e. the highest power of the variables is 1). Therefore, the line will be a straight line with a slope of 5.5
Answer: The correct answer is option B: 19%
Step-by-step explanation: The bar graph according to the question has the following set of data;
Cereal ----------34
Eggs and Bacon ----------21
Pastries ----------39
Bagels ----------48
Waffles ----------38
The total from this set of data is 180 (that is the summation of all the observed data). The portion taken up by cereals can be derived as follows;
Cereal = (34/180) x 360
Cereal = 68 degrees
Note that we have used degrees as the unit since the data would be transferred to a pie chart. Hence on the pie chart it occupies 68 degrees of the entire 360 degrees.
In order to find out what percentage this represents we can now express 68 degrees as a percentage as follows;
Cereal = (68/360) x 100
Cereal = 18.8888888
Cereal ≈ 19
Therefore cereal occupies 19 percent of the pie chart.
