Answer:
Step-by-step explanation: 6a squared
Answer: The spelling questions are 10, while the vocab questions are 16.
Step-by-step explanation: Let the spelling questions be represented by letter p, while the vocab questions should be represented by v. If there is a total of 16 questions as stated, then p + v = 26
Also if there are a total of 100 points obtainable in the test, then spelling questions times 2 points (2p) plus vocab questions times 5 points (5v) equals 100 points. This can be expressed as 2p + 5v = 100
We now have a pair of simultaneous equations as follows
p + v = 26 ———(1)
2p + 5v = 100 ———(2)
Make p the subject of the equation in equation (1). p = 26 - v. Next substitute for the value of p into equation (2)
2(26 - v) + 5v = 100
52 - 2v + 5v = 100
We collect like terms and we have
5v - 2v = 100 - 52
3v = 48
Divide both sides of the equation by 3
v = 16
Now having calculated v, substitute for the value of v into equation (1)
p + 16 = 26
Subtract 16 from both sides of the equation
p = 10
Therefore, the spelling questions equals 10 in all. While the vocab questions equals 16 in all.
The last number line the correct answer!
-2a-5>3
-2a>8
a<-4
( the sign is flipped in the end because when you multiply or divide by a negative number, the sign flips the other way around)
Answer:
66k+9
Step-by-step explanation:
Simplify: 50k+5+4+16k
Combine like-terms: 66k+9
Hope this helps
Answer:
Step-by-step explanation:
The better buy is the one where you get more area of pizza per dollar (area/price).
Since the problem gives diameter, we assume the pizzas are circle-shaped.
Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.
*************************************************************************************
Pizza 1: d = 8 and price is $10
r = 1/2 x d = 4
Area of Pizza 1 = πr² = π(4)² = 16π
*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar
**********************************************************************************
Pizza 2: d = 14 and price is $16
r = 1/2 x d = 7
Area of Pizza 2 = πr² = π(7)² = 49π
*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar
***********************************************************************************
Pizza 2 is the better buy, with more pizza per dollar.
