What a problem! We know that the largest digit is 8,000, and the smallest is 0.01. The number is 8,_ _ _._1. If the tens is 2 less than the hundreds digit, then if we make the hundreds digit x, the tens are x-2. The tens digit plus the hundreds digit is the thousands digit, so x+(x-2)=8. Let's solve: x+(x-2)=8. Eliminate parentheses: x+x-2=8. Use inverse operations:x+x-2+2=8+2. x+x=10. Combine terms: x+x=2x. 2x=10. Divide: 2x/2=10/2. x=5.
So the hundreds digit, x, is 5. And the tens are x-2: 5-2=3. The number is 8,53_._1. And what's the only number that means the same, no matter what place value you put it in? 0! This is the tenths place: 8,53_.01. The remaining digit is the ones. The largest one-digit even number is 8, so our number is 8,538.01!
Answer: 8,538.01
Answer:
1/6
Step-by-step explanation:
The probability of one dice being a particular number is 1/6. The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.
The 10 tons should have 37.9% cement.
Let the 25% mixture be x tons
Then the 68% mixture will be (10 -x) tons.
Using formula for mixtures:
Let p for percentage and w for weight in tons.
p₁w₁ + p₂w₂ = pw
25*x + 68*(10-x) = 37.9*10
25x + 680 - 68x = 379
680 - 43x = 379
680 - 379 = 43x
301 = 43x
43x = 301
x = 301/43
x = 7
Recall that x, was for the 25% mixture, 7 tons.
a) For the 68% mixture, = 10 - x = 10 -7 = 3 tons.
b) For the 25% mixture = x = 7 tons.
We are told that y varies directly with x.
Therefore
y = k*x
where
k = the constant of variation
The given table and the ratio of k=y/x is shown below.
x y k
--- ------ --------
6 10 1.667
9 15 1.667
12 20 1.667
15 25 1.667
Answer:
k = 1.667
y = 1.667x
I looked at another online and it said letter A. (Not 100% sure)
