The answer is letter b.
$4.20 / 60 ounce is the rate for the glass bottle while $3.06 / 51 ounces is the rate for the plastic one.
Simplified, the glass bottle is $0.07 / ounce while the plastic bottle is $0.06 / ounce.
Ergo, the plastic bottle is cheaper by a cent per ounce.
Answer:
e and f
Step-by-step explanation:
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Answer:
4.76cm
Step-by-step explanation:
Given data
circumference= 15cm
The expression for circumference is
C= 2πr
substitute and solve for r
15= 2*3.14*r
r= 15/ 2*3.14
r=15/ 6.28
r= 2.38 cm
Hence the diameter is
D= 2r
D= 2*2.38
D=4.76cm
Answer:
A
Step-by-step explanation:
The student wrote a list of six consecutive integers.
The sum of the first integer and the sixth is 1.
Let the first integer be represented by <em>n</em>.
Then the subsequent integer will be (<em>n </em>+ 1).
Therefore, our sequence is:
<em>n, n </em>+ 1, <em>n </em>+ 2, <em>n </em>+ 3, <em>n</em> + 4, and <em>n</em> + 5.
The sum of the first and sixth is 1. Therefore:
![(n)+(n+5)=1](https://tex.z-dn.net/?f=%28n%29%2B%28n%2B5%29%3D1)
Solve for <em>n</em>. Combine like terms:
![2n+5=1](https://tex.z-dn.net/?f=2n%2B5%3D1)
Thus:
![2n=-4](https://tex.z-dn.net/?f=2n%3D-4)
And:
![n=-2](https://tex.z-dn.net/?f=n%3D-2)
Thus, our first term is -2.
Therefore, our sequence is:
-2, -1, 0, 1, 2, 3
The least of the six integers is -2.
Our answer is A.
Answer:
a) 13/25
b) 12/15
Step-by-step explanation:
a) Since it is with replacement, the chance of them being both the same colour will be
P(both red) + P(both black) = (6/15*6/15) + (9/15*9/15)
= 13/25
b) If they are both different colours, then we will be working out
P(both colours) = (6/15*9/15)*2 = 12/25 (Its *2 because the other way of pulling both colours is 9/15*6/15 which is the same but flipped)
Another way of working this question out is
P(1-All red or all blue) which from above we know that All red or all blue is 13/25 so
P(1-All red or all blue) = 1 - 13/25 = 12/25