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:
Step-by-step explanation:
So let the angles be 2x,3x,5x
∠A + ∠B + ∠C + ∠C = 360
[Sum of all the angles of a quadrilateral ]
⇒2x+3x+5x+130=360
⇒10x = 360 -130
⇒x = 23
The angles are ,
∠A = 2x = 2×23 = 46
∠B = 3x = 3×23 = 69
∠C = 5x = 5×23=115
Answer:
x=-6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-2)/(-6-(-6))
m=4/(-6+6)
m=4/0
undefined
x=-6
Natasha's age is 81 years and Andrew's age is 31 years
Step-by-step explanation:
- Step 1: From the given details, let the age of Natasha be x, then age of Andrew is x - 50.
- Step 2: Form equations out of their details of ages 6 years ago.
⇒ x - 6 = 3(x - 50 - 6)
⇒ x - 6 = 3(x - 56)
⇒ x - 6 = 3x - 168
⇒ 2x = 162
⇒ x = 81
- Step 3: Calculate Andrew's age
x - 50 = 81 - 50 = 31
