9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
Answer:
V = 286319.465 cm3
Step-by-step explanation:
First, you have to find the radius to be able to find the volume of a sphere.
The equation for the area of a circle is pi r^2 so you have to so some algebra.
5252 = pi r ^2
5252/pi = r^2
1671.76352 = r^2
sqrt(1671.76352) = r
r = 40.8872048
then you do the equation for the volume of a circle which is 4/3 pi r^3
4/3 pi (40.8872048)^3
4/3 pi 68353.7373
4/3 214739.599
286319.465
V = 286319.465 cm3
An equivalent ratio would be 4/10, and the number of cattle would be 136,000.Explanation:The question asks for an equivalent ratio. This means a fraction that is equivalent to the fraction between 700-799, which is 2/5.To create an equivalent fraction, we multiply the numerator and denominator by the same number. Multiplying both by 2, we get (2*2)/(5*2) = 4/10.Tenths are useful when dealing with thousands, because taking a tenth involves getting rid of a zero. This means that 1/10 would be 34000; 4/10 would be 4 times that: 4(34000) = 136000.
Read more on Brainly.com - brainly.com/question/200236#readmore
Answer:
C) Between 9 and 13
Step-by-step explanation:
If 40% is 5 gallons, then 20% is 2.5 gallons
If you multiply both by 5, you get 12.5, which is between 9 and 13
Sorry for my weird way of math
2/5 and 1/3 have a common denominator of 15. 6/15, 5/15, and 4/15 add up to 15/15. So the chances of rock are 4/15. 120 divided by 15 is 8. Six times eight equals fourty eight, five times eight equals forty, and four times eight equals thirty two. So there are 48 classical songs, 40 jazz songs, and 32 rock songs.
