Answer:
Step-by-step explanation:
9x - 77 = 7x - 43
2x - 77 = -43
2x = 34
x = 17
9(17) - 77 = 153 - 77 = 76
7(17) - 43 = 119 - 43 = 76
z + 76 = 180
z= 104
You can build as many numbers as you like: just pick three primes and repeat them as required.
The only caution is that you have to pick large enough primes to make sure that the result is larger than 1000.
Since
, it is enough that the prime repeating three times is larger than 10.
So, for example, we can pick
- 2, not repeating
- 3, repeating twice
- 11, repeating 3 times
The result is

Answer: D
Step-by-step explanation:
If segment D moves downward it means its function has a negative slope so the line will be decreasing.
The easiest way to solve a problem like this is to cross multiply and solve
The problem gives us a ratio
2 pounds of granola = 3 pounds of raisins
which makes a ratio of

The other ratio is
? pounds of granola = 24 pounds of raisins
which makes a ratio of

To solve, set them equal to each other ...

Now we must cross multiply...
To cross multiply, we multiply
2 and 24 and we multiply
3 and x Now we have an equation to solve!
3x = 48 To solve and get your final answer, divide...
x =
x = 16
You'll need 16 pounds of granola
She can make 3 batches. 3 batches will take 3 3/4 cups. If she made 4 it would take 5 cups