Answer: h = 30.5
Step-by-step explanation
2h - 49 = 12
+49 +49
Add 49 to both sides. Inverse operation
2h = 61
2h/2 = 61/2
Divide 2 to both sides to get answer. Inverse operation
h = 30.5
Check:
2(30.5) - 49 = 12
61 - 49 = 12
12 = 12
Answer:
The function that can be used in the online shopping club about its monthly revenue is:
Step-by-step explanation:
First, we're gonna take into account the different values we have in the exercise:
- 10,000 members
- $7 per month for membership
- Loses of 400 members by each $1 monthly increase
How the variable 
represents the price increase, we can do the formula below:
In this formula, we represent in the first part that by each 1 in the variable , the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of . Now we must simplify this function:
We operate the values:
Solve we can:
And organize:
At the end, how 
represents the monthly revenue received by the club, we use that variable for our formula:
Answer:
C.1/6
Step-by-step explanation:
Initially the box has four $1 and six $5 bills. The probability of selecting a $5 bill in the first trial would be given as;
(number of $5 bills) / (total number of bills)
= (6)/(4+6) = 3/5
If in the first attempt we actually pick a $5 bill, the number of $5 bills will reduce by one to 5. Now, the probability of picking a $5 bill in the second attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (5)/(4+5) = 5/9
The new number of $5 bills will now be; 6 - 2 = 4 since we have already picked 2 without replacing them.
Now, the probability of picking a $5 bill in the third attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (4)/(4+4) = 1/2
Since the three attempts are independent, the probability of picking all three $5 bills is;
3/5 * 5/9 * 1/2 = 1/6
2 3/4 * 3.36 / (1 2/5)
=11/4 * 3.36 / (7/5)
= 9.24 / (7/5)
= 9.24 / 1.4
= 6.6
3/8 cups of oil
Step by step explanation:
Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.
To Find: How much oil (in cups) is needed per cup of water?
Solution:
Oil required by 2/3 cup of water = 1/4
Oil required by 1 cup of water = 1/4
= 2/3
= 3/8
Hence cups of oil is needed for per cup of water.
