Answer:
Age of Anna = x years
Age of Jane i.e. Anna's sister = (x-y) years
a, What was the sum of their ages two years ago?
Solution,
Age of Anna two years ago = (x-2) years
Age of Jane two years ago = (x-y-2) years
Sum of their ages = x - 2 + x-y-2 = 2x - y -4
b. What will be the sum of their ages in 3 years?
Solution,
We have,
Present age of Anna = x years
Present age of Jane = (x-y) years
So,
Age of Anna after 3 years = (x+3) years
Age of Jane after 3 years = (x-y+3) years
Therefore,
Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6
c. How old was Anna when Jane was born?
Solution,
Here,
According to question,
Jane is y years younger than Anna
So, Anna was y years when Jane was born.
[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]
Step-by-step explanation:
hi i have answere your question
The best thing to do is to find what 1% is, and you can do this by dividing 150 by 100.
150/100= 1.5
As you're looking for 6.5%, you've got to multiply 1.5 by 6.5
1.5*6.5= 9.75
You've then got to add 9.75 and 150 together
150+9.75= $159.75
Therefore, after the sales tax, the cost of the necklace is $159.75
Hope this helps :)
Answer:
1). t ≥ -![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
2). k ≥ ![\frac{16}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7D)
3). y < -![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
4). b > ![\frac{250}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B250%7D%7B9%7D)
5). w ≤ 0
Step-by-step explanation:
1). ![14(\frac{1}{2}-t)\leq 28](https://tex.z-dn.net/?f=14%28%5Cfrac%7B1%7D%7B2%7D-t%29%5Cleq%2028)
![\frac{14}{14}(\frac{1}{2}-t)\leq \frac{28}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B14%7D%28%5Cfrac%7B1%7D%7B2%7D-t%29%5Cleq%20%5Cfrac%7B28%7D%7B14%7D)
![\frac{1}{2}-t\leq 2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D-t%5Cleq%202)
![-t\leq 2-\frac{1}{2}](https://tex.z-dn.net/?f=-t%5Cleq%202-%5Cfrac%7B1%7D%7B2%7D)
![-t\leq \frac{3}{2}](https://tex.z-dn.net/?f=-t%5Cleq%20%5Cfrac%7B3%7D%7B2%7D)
t ≥ -![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
2). 15k + 11 ≤ 18k - 5
15k - 18k ≤ -5 - 11
-3k ≤ - 16
3k ≥ 16
k ≥ ![\frac{16}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7D)
3). 44y > 11 + 88y - 22y
44y > 11 + 66y
44y - 66y > 11
-22y > 11
22y < -11
![\frac{22y}{22}](https://tex.z-dn.net/?f=%5Cfrac%7B22y%7D%7B22%7D%3C-%5Cfrac%7B11%7D%7B22%7D)
y < ![-\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D)
4). ![\frac{7}{9}(b - 27) > \frac{49}{81}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B9%7D%28b%20-%2027%29%20%3E%20%5Cfrac%7B49%7D%7B81%7D)
![\frac{7}{9}(b - 27)\times \frac{9}{7} > \frac{49}{81}\times \frac{9}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B9%7D%28b%20-%2027%29%5Ctimes%20%5Cfrac%7B9%7D%7B7%7D%20%3E%20%5Cfrac%7B49%7D%7B81%7D%5Ctimes%20%5Cfrac%7B9%7D%7B7%7D)
(b - 27) > ![\frac{7}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B9%7D)
b > ![\frac{7}{9}+27](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B9%7D%2B27)
b > ![\frac{250}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B250%7D%7B9%7D)
5). 11w - 8w ≥ 14w
3w - 14w ≥ 0
-11w ≥ 0
w ≤ 0
Answer:
863.78
Step-by-step explanation:
Volume of a cylinder:
V = (pi)(radius)^2(height)
= (3.141)(5)(5)(11)
= 863.775
Please let me know if you have questions.