Answer:
the first one goes in the botten and the 2nd one goes into top 3rd goes into bottem.
Step-by-step explanation:
#4)
cross multiply
2(8x+10) = 4 * 5x
16x + 20 = 20x
4x = 20
x = 5
Answer:
A) 10,560 ft. B) 32 more laps.
Step-by-step explanation:
A) Four laps around a track is equal to one mile, and there are 5,280 feet in one mile. If Roger ran eight laps, he ran two miles. Therefore: 5,280 ft. times 2, is equal to 10,560 ft.
B) We know that Roger ran two miles Monday. We also know that four laps around a track is equal to one mile. In order to run 10 miles, he would have to run 40 laps, and since he already ran 8, we can subtract that from 40. You are left with 32 more laps.
Answer:
Option C is the right answer.
Step-by-step explanation:
Given that:
Length of diagonal = 25 inches
Length of rectangle = 9 inches
Width of rectangle will be one of the two legs of right angled triangle and the diagonal will be the hypotenuse.
Using Pythagorean theorem;

Taking square root;

Therefore,
Option C is the right answer.
You are being asked to compare various expressions to the given one, and to determine which are equivalent and which are not. You are asked to simplify the given expression—collect terms.
The given expression ...
... 4y -8x² -5 +14x² +y -1
can be simplified by identifying like terms and adding their coefficients.
... y(4 +1) +x²(-8 +14) +(-5 -1)
... = 5y +6x² -6 . . . . . simplified form
Any expression that has a different y-term, a different x² term, or a different constant term is <em>not equivalent</em>.
Once you have found this simplified expression, you can drag it to the appropriate box. Looking at the top three expressions on the left, you see immediately that they have different y-terms, so all those go to the "not equivalent" box. The expression on the bottom row has a different x² term, so it, too, is "not equivalent". (The sign is negative instead of positive. Details matter.)
The remaining expression, the one on the far right, has the appropriate y-term and constant term. The x² terms have not been combined, so it is equivalent, but not fully simplified.