5 out of 8 bags of m and m's had exactly 32 pieces in them. How many bags out of 40 should have exacty 32 pieces

Use the following unit fractions to express 180 miles per hour in feet per second

harina [27]

Answer:

264 ft/sec

Step-by-step explanation:

We need to use the conversion factors

5280 ft/ 1 mi, 60 min/ 1 hr , and 60 sec/1 min

180 miles 1 hour 1 min 5280 ft

----------------- * ----------------- * ------------ * ---------------

hour 60 minutes 60 sec 1 miles

The hours, minutes and miles cancel are we are left with ft/sec

180 *5280 ft

----------------- * -----------------

60*60 sec

264 ft/sec

8 0

3 years ago

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PLEASE HELP. MATH IN PICTURE

marin [14]

9514 1404 393

Answer:

D . . . (best of the erroneous choices)

Step-by-step explanation:

Solving the first equation for x, we get ...

√(y -1) ≥ x

Solving the second equation for x, we get ...

x > 3

Substituting for x, we have ...

√(y -1) > 3

y -1 > 9

y > 10

Ordered pairs that are in the solution set will have coordinates ...

x > 3, y > 10

In interval notation that looks like ...

x ∈ (-∞, 3) and y ∈ (10, ∞)

The closest answer choice is the last one.

_____

You will note that x must be strictly greater than 3, so y cannot be equal to 10. The offered choice is in error on that point.

__

You will also note that y is dependent on x. That is, one cannot pick a value of y greater than 10 independently of the value of x. In that sense, the solution is not "the set of all ordered pairs such that [x and y have independent limits]". Rather, it is the set of all ordered pairs such that √(y -1) ≥ x > 3.