4 sets Step-by-step explanation: The greatest common factor (GCF) of 16 and 12 is 4, which is the largest number that divides both evenly. This can be concluded from examining the factors: 12 = 4·3 and 16 = 4·4, or by confirming that the difference of the two numbers (4) can divide both without remainder. Hence, the maximum number of identical sets Mandy can create is 4. Each of these 4 sets will consist of 4 sheets of paper and 3 envelopes.
To solve this question, follow the steps outlined below:
1. Since 1 yard equals 36 inches, to convert 50 yards to inches involves:
2. If he is standing 50 yards away from the school, and the map indicates that the school is 34 inches away from him, when it shows 3 inches the actual distance is:
3. If you express this back in yards:
Consequently, the answer is: 158.82 inches or 4.41 yards.
The provided equation is a differential equation that allows for variable separation. You should group similar terms, integrate, use the correct limits, and present V as a function of t. This is achieved in the following manner: dV/dt = -3(V)^1/2, which rearranges to dV/-3V^1/2 = dt. Initially, when V equals 225, after integration, we arrive at -2/3(√V - √225) = t, which can be further detailed as -2/3(√V - 15) = t. This represents the function for V at a specific time t. I trust this information is helpful, have a pleasant day.
5(11 squared + 1) plus 16
5(121 + 1) plus 16
5(122) plus 16
605 plus 16
p(11) equals 626
The solution is 20 days, found as follows:
Each of the three friends initially makes 4 bags of dough. After 10 days, each of these bags is split into 4 new bags:
3 friends × 4 bags = 12 bags, and 12 bags × 4 = 48 bags
Then in the following 10 days, 48 bags are again divided into 4 bags each:
48 × 4 = 192 bags
Adding the periods: 10 days + 10 days = 20 days
Therefore, 192 bags are created after 20 days.
