Rate for Sally is 1 room per 8hrs
rate for Steve is 1 room per 7hrs
combined rate:
1/8 + 1/7 = 1/T
7/56 + 8/56 = 1/T
15/56 = 1/T
56/15 = T
3 11/15 = 3 hrs 44 min
Answer: 3 + 7i
Step-by-step explanation:
Equation expanded: 12 + 5i - 9 + 2i // now simplfy
12 - 9 = 3
5i + 2i = 7i
// together, we get
3 + 7i
Let A = {a, b, c, d, e} and B = {a, c, f, g, i}. Universal Set: ∪= {a,b,c,d,e,f,g,h,i}
mixer [17]
Answer:
1. { a, b, c, d, e, h }
2. { f, g, i }
Step-by-step explanation:
Given sets,
A = {a, b, c, d, e},
B = {a, c, f, g, i}
Universal set , ∪ = {a, b, c, d, e, f, g, h, i},
1. Since,
= elements of universal set which are not in set B
= U - B
= { b, d, e, h },
Thus,
= All elements of A and 
= { a, b, c, d, e, h }
2. B - A = elements of set B which are not in set A
= { f, g, i }
Answer:
The graph of y = 1/2f(x) is the graph y = x and y = -x for -4 ≤ y ≤ 0
Step-by-step explanation:
Here we note that when y = 0, x = 0
when y = -4, x = -2
The equation is therefore of the form y = m·x + c
m = slope

c = y intercept = 0
Hence the first line is y = 2·x
The second line on the right is the mirror of the first on the left with slope;

Hence the second line on the right is y = -2·x
Hence for y = 1/2 f(x) we have;
y = 1/2 × 2·x = x and y = 1/2 ×-2·x = -x
Graphing the functions, we have
Using proportions, it is found that the thickness of the icing between the layers, in inches, is of:
E 1 inch
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, there are six layers, each measuring 1.25 inches tall, hence the height of these layers is:
6 x 1.25 = 7.5 inches
Then the height of the icing between the layers is of:
13.5 - 7.5 = 6 inches
Six layers, hence each icing is of:
6/6 = 1 inch
More can be learned about proportions at brainly.com/question/24372153