Answer:
A) (3,-2)
Step-by-step explanation:
A) (3,-2)
Answer: 0
Step-by-step explanation:
The common denominator is 6
-2/3 = -4/6
-4/6 + 4/6 = 0
8
of her collection.
5
7
of the remaining books are Chinese books and the rest are German books. How many books are there in her book collection if there are 75 Chinese books?
There are 168 books are there in her book collection if there are 75 Chinese books.
Given
Miko has a vast collection of books in her library.
English books = 3/8
Chinese books = 5/7.
A ratio is a comparison of two or more numbers that indicates their quantities in relation to each other.
The proportion of the English books is 3/8, the remaining is:
Then,
Chines books = ratio of Chinese book × ratio of remaining books × Total books
Hence, there are 168 books are there in her book collection if there are 75 Chinese books.
To know more about proportion click the link given below.
Answer:
168 books
Step-by-step explanation:
Given
of the remaining books
Required
Determine the total number of books
If the proportion of the English books is 3/8, the the remaining is:
Take LCM
From the question, we understand that:
of the remaining books
This means:
From the question, we also understand that 75 are Chinese books.
The total number of books can then be calculated using:
Substitute 75 for Chinese
Make Total the subject:
Answer:
#1 B = e-2
#2 C=
#3 Just Differentiate and Look for Absolute Min. which is at x=0 or M=0
#4 Absolutely Converges By The Ratio Test
Step-by-step explanation:
Answer:
I'm not sure sorry I just need points
2 milks + 5 waters + 8 chips = $25
water cost = 2×chips cost
milk cost = $1.50 + water cost
The cost of each: milk, water, chips.
Let m, w, and c represent the costs of milk, water, and chips, respectively. We can write the given relations more compactly as
... 2m + 5w + 8c = 25
... w = 2c
... m = w + 1.5
We can substitute for w everywhere using the second equation. This gives us
... m = 2c +1.5
... 2(2c+1.5) + 5(2c) + 8(c) = 25
... 22c + 3 = 25
... 22c = 22
... c = 1
Then
... m = 2·1 + 1.5 = 3.5
... w = 2·1 = 2
A gallon of milk costs $3.50, a bottle of water costs $2.00, a bag of chips costs $1.00.
$3.50 is how much the milk costs, a bottle of water is $2.00, and the chips are $1.00.
Answer:
The optimal strategy for Bob is buying for shine (unless he can watch a forecast to know the next day weather).
Step-by-step explanation:
This is a typical problem of hopes to win vs hopes to lose. Let's analyze each of the strategies Bob can adopt in both kinds of weather.
Bob buy for rain:
Bob will buy 500 umbrellas for a cost of $5 each. This is a total cost of $2500.
If it rain, Bob can sell all umbrellas for $10 each. This gives a maximum revenue of $5000. Therefore the maximum profit is $2500. Remember that:
Profit= Revenue - Cost
If it's a sunny day, Bob can only sell 100 umbrellas for $10 each. This gives a maximum revenue of $1000. Therefore the maximum profit is -$1500. That means that in this case, the minimum loss is $1500.
Bob buy for Shine:
Bob will buy 100 umbrellas for a cost of $5 each and 1000 sunglasses for a cost of $2 each. This is a total cost of $2500.
If it's a sunny day, Bob can only sell all umbrellas for $10 each and all sunglasses for $5. This gives a maximum revenue of $6000. Therefore the maximum profit is $3500.
If it rains, Bob can sell only sell all the 100 umbrellas for $10 each but none of the sunglasses. Therefore the maximum profit is $1000. Therefore the maximum profit is -$1500. That means that in this case, the minimum loss is $1500.
In both cases, the worst-case scenario is the same: a loss of $1500.
Nevertheless in the best case scenario buying to shine gives a bigger profit. Therefore if the risk is the same, is better to go for the strategy with better profits.