Answer:
I'm pretty sure it's (0,1)
Answer:
Step-by-step explanation:
27^x = 9÷(3^x)
So (3^3)^x = (3^2)÷(3^x)
So 3^3x = 3^(2-x)
Comparing powers on both sides,
3x = 2 - x
So, 4x = 2
So, x = 1/2
Given ( 27 ) ^ x = 9 / 3 ^x
⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x
⇒ ( 3 ³ )^x = 3² / 3^x
⇒ 3 ^ 3x × 3^x = 3² [ since ( a ^m)^n = a ^mn ]
⇒ 3^ (3x +x) = 3² [ since a^m × a^n = a ^m+n ]
⇒ 3^4x = 3²
⇒4x = 2 [ since If a ^m = a ^n then m = n ]
⇒ x = 2 / 4
∴ x = 1 / 2
I hope this helps you.
Answer:
Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.
Step-by-step explanation:
Given that,
The function that models the production cost is
To find the number of t-shirt, we put f(t)=40 in given function.
∴40= 0.1t²-6t+100
⇒ 0.1t²-6t+100-40=0
⇒0.1 t²- 6t +60=0
⇒t²-60t+600=0
Applying quadratic formula 
, a=1, b= - 60 and c=600
= 47.32,12.67
≈47, 12
Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.
Answer:
30%
Step-by-step explanation:
(plastic beads)/(beads on clearance) = 6/20 = 30/100 = 30%
_____
A percentage is a representation of a fraction that has 100 as a denominator. The percent sign (%) is just a shorthand way to write "divided by 100" (/100). The word "percent" means "per hundred", or "divided by 100."
Here, the given fraction (6/20) can be multiplied by 5/5 to make it have a denominator of 100.
Answer:
The no. of boys = 20
The no. of girls = 12
Step-by-step explanation:
Ratio of no. of boys to girls = 5 : 3
[5 multiplied with something, and 3 multiplied with something, added together makes 32.Thus, that something = x]
5x + 3x = 32
= 8x = 32
=x = 32÷8 = 4
5x = 5 x 4 = 20
3x = 3 x 4 = 12
