Answer:
C. 20
Step-by-step explanation:
Let's say M is the original number of men and W is the original number of women.
M / W = 3 / 5
(M+2) / (W+1) = 2 / 3
Let's cross multiply both equations:
5M = 3W
3(M+2) = 2(W+1)
Let's simplify the second equation:
3M + 6 = 2W + 2
3M + 4 = 2W
From the first equation:
M = 3/5 W
Substitute:
3 (3/5 W) + 4 = 2W
9/5 W + 4 = 2W
4 = 1/5 W
W = 20
There were originally 20 women.
Let's check our answer. That would mean that M = 3/5 W = 12.
After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3. Looks like the answer is correct!
Answer C.
Answer:
Step-by-step explanation:
Salary offered to Emily after college = $35000
Rise in her salary = $2000 every year
Let she works for x years in the company,
Salary rise in her salary = $2000x
Total salary after x years = $(35000 + 2000x)
The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.
A function these variables is C(x) = 35000 + 2000x
So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.
Answer:
4(s+1)
Step-by-step explanation:
(s+12) + (3s -8)
s+12+(3s-8)
s+12+3s-8
4s+12-8
4s+4
4(s+1)
Answer:
wives
sacks
cats
kits
Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an expression using exponents that represents the total number of kits, cats, sacks, and wives going to St .Ives.
Step-by-step explanation:
wives
If each of the "x" wives has "x" sacks, so the number of sacks is:
sacks
If each of the "x" wives has "x" sacks, and each sack has "x" cats, so the number of cats is:
cats
If each of the "x" wives has "x" sacks, and each sack has "x" cats, and each cat has "x" kits, so the number of kits is:
kits
Answer:


Step-by-step explanation:
Given

Required
Select equivalent expression





Start by solving the given expression (using a calculator)

Then we solve the given options (using a calculator)










The equivalent expressions are (a) and (e)