Hello!
To solve algebraic equations, we need to use SADMEP. SADMEP is an acronym used only solve for x in algebraic equations. SADMEP is expanded to be: subtraction, addition, division, multiplication, exponents, and parentheses.
(a) 4 + 2(-1) = 10 + 2 (multiply)
4 + -2 = 10 + 2 (add)
2 = 12
This equation has no solutions because <u>2 is never equal to 12</u>.
(b) 30 = 10 - (6 + 10) (simplify the parentheses)
30 = 10 + -1(16) (multiply)
30 = 10 - 16 (simplify)
30 = -6
This equation has no solutions because<u> 30 and -6 is never equal to each other</u>.
(c) 8x = 4x + 4x + 10(x - x)
8x = 4x + 4x + 10(x - x) (simplify [add and subtract])
8x = 8x + 10(0) (multiply)
8x = 8x
This equation has an infinite number of solutions because if you <u>substitute any value into the original equation</u>, <u>both sides of the equation</u> will be <u>always equal</u>.
Answer: Our required probability is 0.99338.
Step-by-step explanation:
Since we have given that
n = 100
p = 0.200
So,
So, we can apply normal approximation.
Mean = 20
Standard deviation =
Since
So, Probability that fewer than 30 but a packet after testing a free sample is given by
Hence, our required probability is 0.99338.
3 and 5 are the correct choices. as long as the 2 lines have different slopes they intersect at only one point
Because you are multiplying you add the exponents together. -5+6=1 so you only have 3 to the power of one left over or just 3 in the parentheses. Then multiply 2x3 to get 6.
Given information:
Total animals = 13
Total legs = 40
Assumed all animals have their legs intact ...
Pig = 4 legs
Chicken = 2legs
Assumed all chickens:
Total legs = 2 x 13 = 26
Extra legs = 40 - 26 = 14
Extra legs belongs to the pig (each pig has extra 2 legs)
14 ÷ 2 = 7
There are 7 pigs
13 - 7 = 6
There are 6 chickens
---------- OR ALGEBRAICALLY --------
Let the number of pigs be x and number of chickens be y
pigs = x
chickens = y
x + y = 13 -------------- (1)
4x + 2y = 40 ---------- (2)
From (1):
x + y = 13
x = 13 - y -------------- sub into (2)
4(13 - y) + 2y = 40
52 - 4y + 2y = 40
52 - 2y = 40
2y = 52 - 40
2y = 12
y = 6 ----------- sub into (1)
x + 6 = 13
x = 13 - 6
x = 7
x = 7, y = 6
pigs = 7, chickens = 6