Answer:
A. 8/10
Step-by-step explanation:
(0.8 × 10) / (1 × 10) = 8/10 (since, multiplying 10 shifts the decimal point towards the right by one place)
Further, we can reduce fractions 8/10 by dividing the numerator and denominator by 2.
(8 ÷ 2) / (10 ÷ 2) = 4/5
Thus, 0.8 as a fraction is 8/10 or 4/5
Answer:
![d(c(x))=0.60x-5](https://tex.z-dn.net/?f=d%28c%28x%29%29%3D0.60x-5)
Step-by-step explanation:
We have been given that a discount store’s prices are 25% lower than department store prices. The function
represents the cost (c), in dollars, of an item, where x is the department store price, in dollars.
We are also told that when the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. The function
represents d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars.
We are supposed to find the function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month.
We can see that function d(c(x)) is a composite function. To get our composite function we just need to substitute function c(x) in function d(y).
After making the substitution we will get our desired function as,
Upon simplifying our function will be:
![d(c(x))=0.60x-5](https://tex.z-dn.net/?f=d%28c%28x%29%29%3D0.60x-5)
Therefore, the function
represents the final price of an item when a costumer buys an item that has been in the discount store for a month.
Answer: 30 boxes of cupcakes
Step-by-step explanation:
Step-by-step explanation:
![\frac{2}{4} \times 10 \div \frac{2}{5} \times \frac{5}{14} \\ \\ = \frac{20}{4} \div \frac{1}{7} \\ \\ = \: 5 \times \frac{7}{1} \\ \\ = \frac{35}{1} \\ \\ = 35](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B4%7D%20%20%5Ctimes%2010%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B5%7D%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B14%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%3D%20%20%5Cfrac%7B20%7D%7B4%7D%20%20%5Cdiv%20%20%5Cfrac%7B1%7D%7B7%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5C%3A%20%205%20%20%5Ctimes%20%5Cfrac%7B7%7D%7B1%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%3D%20%20%5Cfrac%7B35%7D%7B1%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%2035%20)
Thus, quotient = 35
Answer:
4/11
Step-by-step explanation:
9/25 might be 0.36 but its not repeating.. be careful