X is the amount of weeks.
Equation: 425+25x=875-15x
Solve for x:
25x+15x=875-425
40x=450
x=11.25
The answer is 11.25 weeks.
Answer:
Step-by-step explanation:
As we know all primes but 2 are odd numbers.
It means sum of any 3 primes not including 2 is odd.
Since we have sum of 202, one of our primes is 2.
Sum of the other two primes is 200.
In order to have maximum value of p*(200 - p) these two numbers must be closer to each other. So we are looking for two primes around 100.
<u>We can test all primes less than 200:</u>
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, and 199
<u>The 3 primes with max product are:</u>
<u>The value is:</u>
Answer:
1 taco costs $1.5 and 1 burrito costs $3.25
Step-by-step explanation:
-Let t denote tacos and b denote burritos.
-The system of equations in the two weeks can then be expressed as below:
![8t+5b=28.25\ \ \ \ \ \ ...i\\\\7t+7b=33.25\ \ \ \ \ \ ...ii](https://tex.z-dn.net/?f=8t%2B5b%3D28.25%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20...i%5C%5C%5C%5C7t%2B7b%3D33.25%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20...ii)
make t the subject of the formula in i and then substitute in ii to solve for both unknowns:
![8t=28.25-5b\\\\t=\frac{1}{8}(28.25-5b)\\\\\\\therefore 7t+7b=33.25\\\\\frac{7}{8}(28.25-5b)+7b=33.25\\\\\\24.71875-4.375b+7b=33.25\\\\8.53125=2.625b\\\\\\b=3.25\\\\t=\frac{1}{8}(28.25-5\times3.25)=1.5](https://tex.z-dn.net/?f=8t%3D28.25-5b%5C%5C%5C%5Ct%3D%5Cfrac%7B1%7D%7B8%7D%2828.25-5b%29%5C%5C%5C%5C%5C%5C%5Ctherefore%207t%2B7b%3D33.25%5C%5C%5C%5C%5Cfrac%7B7%7D%7B8%7D%2828.25-5b%29%2B7b%3D33.25%5C%5C%5C%5C%5C%5C24.71875-4.375b%2B7b%3D33.25%5C%5C%5C%5C8.53125%3D2.625b%5C%5C%5C%5C%5C%5Cb%3D3.25%5C%5C%5C%5Ct%3D%5Cfrac%7B1%7D%7B8%7D%2828.25-5%5Ctimes3.25%29%3D1.5)
Hence, 1 taco costs $1.5 and 1 burrito costs $3.25
The mode in a set is a number that appears the most. so the answer is a.2
Answer:
-2.7 < y
Step-by-step explanation:
2.9 < 5.6+y
Subtract 5.6 from each side
2.9-5.6 < 5.6-5.6+y
-2.7 < y