Answer:
Plates are 2.80 Dollars and cups are 1.40 dollars
Step-by-step explanation:
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4
Volume of a sphere formula is: V=4
/3 πr^3
You know v=17000 and pi=3.14
17 000 = 4/3 x 3.14 x r^3
(divide 17 000 by 4/3 x 3.14 ) --> r^3 = 4060.51 (2dp)
(cube root is to get just r) r = 15.95 inches (2dp)
There 15 inches to the nearest inch.
Hope this is correct! :D
Answer:
Brain
Step-by-step explanation:
Answer:
3627
Step-by-step explanation:
assuming it is 13*(-32.48-14.02)*6
Answer:
$46.746
Step-by-step explanation:
Allen is buying a video that originally cost = $ 49
Discount coupon = 10%
Sales tax= 6%
Hence, the price of video after discount coupon and sales tax= $ 49 ×
×
Hence, the price of video after discount coupon and sales tax= $ 49 ×
×
Price of video after discount coupon and sales tax= $ 49 × 0.9× 1.06
price of video after discount coupon and sales tax= $46.746
Hence, the correct answer is $46.746