Answer:
25%
Step-by-step explanation:
Let x represent Akira income and let y represent Hideo income.
Since Akira earns five-eighths of what Hideo earns, therefore Akira income is given by:
x = (5/8)y
Let a represent Akira expenses and let y represent Hideo expenses. Since Akira expenses is half of Hideo, hence:
a = (1/2)b; b = 2a
Given that Akira savings is 40% of his income, we have:
savings = income - expenses
40% of x = x - a
a = x - 0.4x
a = 0.6x
For Hideo:
Income = y, expenses = b = 2a
Savings = income - expenses
Savings = y - 2a
Savings = y - 2(0.6x) = y - 1.2x
Savings = y - 1.2(5/8)y
saving = y - 6y/8
savings = 2y/8 = 0.25y
Therefore Hideo saves 25% of his income
First group rate is x+10, Second is x
First group made 160, Second made 120
Time the first group will take is 160/x+10, and second is 120/x
Equation is: 160/x+10 + 4 = 120/x
x=10, x=-30
The second group made 10 suits everyday.
Answer:
C) 3.96
Step-by-step explanation:
Answer:
a) 9*π or approx 28.26
b) ∡CRB=100°
Step-by-step explanation:
As known for secants crossing each other inside the circle is coorect the following:
BR*RD=AR*RC
=> 3*RD=4*4.5
RD=6
The diameter of the circle with center P is BD=BR+RD=3+6=9
So the radius of the circle is D/2=9/2=4.5
As known the circumference of any circle can be calculated as
C=2*π*r , where r is the circle's radius
So C=2*4.5*π=9*π= approx 3.14*9=28.26
b) ∡CRB=∡ARD= (arcBC+arcAD), where arcBC and arcAD smaller arcs
BD is the circle's diameter, so arc BD=180°
So arcBC=180°-arcCOD=180°-100°=80°
Similarly arcBD=180°
arcAD=180°-arcBSA=180°-60°=120°
∡CRB= (80°+120°)/2=100°
It would be 66.3 because 2% Coverts to .02 then you multiply that to 65 and get 1.3 and then you add that to 65
