Answer:
50%
Step-by-step explanation:
if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)
Answer:
a) 1.3652
b) 1.3906
Step-by-step explanation:
a) log5 9 = log5 3² = 2log5 3 = 2(0.6826) = 1.3652
b) log5 75/8 = log5 75 - log5 8 = log5 3×25 - log5 8=
log5 3 + log5 5² - log5 8 = 0.6826 + 2 - 1.2920 = 0.6826 + 0.708 = 1.3906
Step-1 : Multiply the coefficient of the first term by the constant 6 • -10 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
6n2 - 15n + 4n - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3n • (2n-5)
Add up the last 2 terms, pulling out common factors :
2 • (2n-5)
Step-5 : Add up the four terms of step 4 :
(3n+2) • (2n-5)
Which is the desired factorization
Final result :
(2n - 5) • (3n + 2)
Classic Algebra and its unnecessarily complicated sentence structure. As you may have probably known, Algebra has its own "vocabulary set".
"the length of a rectangle exceeds its width by 6 inches" -> length is 6 in. longer than width -> l= w + 6
Since we're solving for the length and width, let's give them each variables.
length = l = w+6
width = w
The next bit of information is "the area is 40 square inches"
Applying the formula for the area of a rectangle we can set up:
l x w = 40
replace "l", or length, with it's alternate value.
(w+6) x w = 40
distribute
+ 6w = 40
subtract 40 from both sides
+ 6w - 40 = 0
factor
(w - 4)(w + 10) = 0
solve for w
w= 4, or -10
So great, we have 2 values; which one do we choose? Since this problem is referring to lengths and inches, we will have to choose the positive value. There is not such thing as a negative distance in the real world.
We now have half of the problem solved: width. Now we just need to find the length which we can do but substituting it back into the original alternate value of l.
l = w + 6
w=4
l = 4 + 6 = 10
The length is 10 in. and the width is 4 in. Hope this helps!
Answer:
c) 255
Step-by-step explanation:
d isn't divisible by 5 and both a and b aren't divisible by 3