Answer:
(a) Arts take longer
(b) By 2/9 hours
Step-by-step explanation:
Given
Arts = four over nine hours
Maths = two over nine hours
Solving (a): Which takes longer?
First, represent both as fraction


Convert fraction to decimal




By comparison:

Hence, Arts take longer
Solving (b): How much longer?
To do this, we calculate the difference.


Take L.C.M


Answer:
y = ½x + 6.
Step-by-step explanation:
You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Answer:
the average of this new list of numbers is 94
Step-by-step explanation:
Hello!
To answer this question we will assign a letter to each number for the first list and the second list of numbers, remembering that the last number of the first list is 80 and the last number of the second list is 96
for the first list

for the new list

To solve this problem consider the following
1.X is the average value of the second list
2. We will assign a Y value to the sum of the numbers a, b, c.
a + b + c = Y to create two new equations
for the first list

solving for Y
Y=(90)(4)-80=280
Y=280=a+b+c
for the second list


the average of this new list of numbers is 94
Answer:
48 inches
Step-by-step explanation:
There are 12 inches in 1 foot. So multiply by 12 to convert from feet to inches.
4 × 12 = 48
4 feet = 48 inches
Step-by-step explanation:
take the right triangle
15^2 = 9^2 + x^2
225 = 81 + x^2
x = 12
area of square b = 144