Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused. If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267. Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88. That's the smallest integer; the largest is found by adding 88 + 2 which is 90. So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
Answer:
A. The graphs are the same.
Step-by-step explanation:
1 Answer:
10 pound of sugar
Step-by-step explanation:
Answer: OPTION C
Step-by-step explanation:
There are some transformations for a function f(x). Some of them are shown below:
1. If 
, the function is shifted up "k" units.
2. If 
, the function is shifted down "k" units.
3. If 
, the function is shifted left "k" units.
4. If 
, the function is shifted right "k" units.
In this case you know that the function "g" is the transformation of the function "f".
Observe that the function "f" intersects the y-axis at:
And the function "g" intersects the y-axis at:
Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".
Then, the rule that shows that transformation is:
X = number of dimes
y = number of quarters
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10x + 25y = 2565
y = x + 20
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put the system of linear equations into standard form
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10x + 25y = 2565
x - y = -20
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 59
y = 79
