Answer:
y =0
Step-by-step explanation:
From the equation;
8³ × 8⁻⁵×8^y = 8⁻²= 1/8²
From the laws of indices;
aⁿ×aⁿ = a^2n
Therefore;
8³ × 8⁻⁵×8^y = 8^(3+-5+y)
8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;
-2 + y = -2
y = 0
Volume of the sphere is 4/3*pi*r^3
here, r is 11 yd.
volume = 4/3*pi*11^3
= 4/3*pi*1331
= 5575.28 yd^3
= 5575.3 yd^3
Answer:
a) 3/5 < 4/5
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c)
<em>or</em> 
Step-by-step explanation:
a) 3/5 < 4/5
Flip the sign and the placement of the fraction so 3/5 is less then 4/5.
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) We need to change the denominators to a common denominator to compare the size of the two fractions:
×
= 
×
= 
The common denominators of the two fractions is 30. Comparing the two fractions:
<em>or</em> 
so we get:
<em>or</em> 
Answer: $5 for each eraser
Step-by-step explanation:
$5 in magazines ( 1 magazine )
? in erasers ( 4 erasers total )
$25 in total
step 1. 25-5= 20
step 2. 20/4= 5
step 3. $5 = each eraser (some expensive erasers)
Answer:
A
Step-by-step explanation:
Given
5(x - 7) = 55, then using the distributive property, that is
a(b - c) = ab - ac, then
5x - 35 = 55