GCF 32 24 40
^ ^ ^
2 16 2 12 2 20
^ ^ ^
2 8 2 6 2 10
^ ^ ^
2 4 2 3 2 5
^
2 2
(2) (2 & 3) (2 & 5)
Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
Answer:
- volume: 252 cm³
- mass: 2167.2 (units not specified)
Step-by-step explanation:
The volume of a cuboid is given by the product of its dimensions. Here, that is ...
(12 cm)·(6 cm)·(3.5 cm) = 252 cm³
We are told the mass of each cm³ is 8.6, so 252 of them will have a mass of ...
8.6·252 cm³ = 2167.2 . . . . . no units specified
Answer:
a) 40050017 = 40,050,017
Forty million fifty thousand and seventeen
b) 251400 = 251,400
Two hundred fifty one thousand and four hundred
Step-by-step explanation:
In international system commas are placed after three digits starting from the unit's place.
a) 40050017 = 40,050,017
Forty million fifty thousand and seventeen
b) 251400 = 251,400
Two hundred fifty one thousand and four hundred
It can be placed as shown below.
TM, M, HTh , TTh, Th, H, T, O
4 0 0 5 0 0 1 7
2 5 1 4 0 0