Answer:
x = 12
y = 9
z = 11
Step-by-step explanation:
so, let's just do all the calculations in there :
(3×5)⁴ = 3⁴×5⁴
(2×3)⁵ = 2⁵×3⁵
(2×5)⁷ = 2⁷×5⁷
multiplying all 3 terms is then
3⁴×5⁴×2⁵×3⁵×2⁷×5⁷
more let's "group" and combine these terms based on the bases of the power operations, as we need to get an expression showing 2, 3 and 5 with their powers.
so, for the base of 2 we have
2⁵×2⁷ = 2¹²
for the base of 3 we have
3⁴×3⁵ = 3⁹
fire the base of 5 we have
5⁴×5⁷ = 5¹¹
so we get
2¹² × 3⁹ × 5¹¹
=>
x=12
y=9
z=11
Well, there are 100 pennies in a dollar, and 10 dimes in a dollar. So, the ratio could be 10:100, or 1:10.
divide number of students in sports by percentage:
372 / 0.60 = 620 total students in the school
Answer:Number of minutes of second Song = 5 1/4 minutes
Number of minutes of third Song =3 1/2 minutes
Step-by-step explanation:
Number of minutes of First Song = 3 1/2 minutes
Number of minutes of second Song = one 1/2 times as long as her first
= 1 1/2 X 3 1/2 minutes
3/2 X 7/2
21/4 = 5 1/4 minutes
Number of minutes of third Song = 2/3 times as long as her second song
2/ 3 x 5 1/4
= 2/3 x 21/4 =42/12
Dividing the numerator and denominator by 3 to reduce the fraction
42/ 12 / 3/3 = 14/4
14/4 = 3 2/4 = 3 1/2 minutes
