Find m qrs if m prs =2x+91 m qrp=171 +x

Jenna lives 4 3/10 miles from school. She estimates that she travels 4×2×5 or 40 miles each week. Is her estimate an overestimat

patriot [66]

It will be an underestimate the answer is 43 I hoped that helped?

5 0

3 years ago

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Some people think it is unlucky if the 13th day of a month falls on a Friday. Show that in every calendar year (non leap or leap

MakcuM [25]

We will set a variable, d, to represent the day of the week that January starts on. For instance, if it started on Monday, d + 1 would be Tuesday, d + 2 would be Wednesday, etc. up to d + 6 to represent the last day of the week (in our example, Sunday). The next week would start over at d, and the month would continue. For non-leap years:
If January starts on d, February will start 31 days later. Following our pattern above, this will put it at d + 3 (28 days would be back at d; 29 would be d+1, 30 would be d+2, and 31 is at d+3). In a non-leap year, February has 28 days, so March will start at d+3 also. April will start 31 days after that, so that puts us at d+3+3=d+6. May starts 30 days after that, so d+6+2=d+8. However, since we only have 7 days in the week, this is actually back to d+1. June starts 31 days after that, so d+1+3=d+4. July starts 30 days after that, so d+4+2=d+6. August starts 31 days after that, so d+6+3=d+9, but again, we only have 7 days in our week, so this is d+2. September starts 31 days after that, so d+2+3=d+5. October starts 30 days after that, so d+5+2=d+7, which is just d. November starts 31 days after that, so d+3. December starts 30 days after that, so d+5. Remember that each one of these expressions represents a day of the week. Going back through the list (in numerical order, and listing duplicates), we have d, d, d+1, d+2, d+3, d+3, d+3, d+4, d+5, d+5, d+6 and d+6. This means we have every day of the week covered, therefore there is a Friday the 13th at least once a year (if every day of the week can begin a month, then every day of the week can happy for any number in the month).
For leap years, every month after February would change, so we have (in the order of the months) d, d+3, d+4, d, d+2, d+5, d, d+3, d+6, d+1, d+4, and d+6. We still have every day of the week represented, so there is a Friday the 13th at least once. Additionally, none of the days of the week appear more than 3 times, so there is never a year with more than 3 Friday the 13ths.

5 0

3 years ago

Which inequality represents all values of x for which the product below is defined

zavuch27 [327]

Answer:

(-∞, -2) ∪ (0, ∞)

Step-by-step explanation:

Multiply together the (7x) and the (x+2), obtaining 7x^2 + 14x. This is the correct argument (input) to Answer A.

Since the domain of the square root function includes "all real numbers equal to or greater than 0," we set 7x^2 + 14x = to 0. This factors to the original 7x*(x+2), set equal to 0. The roots are 0 and -2.

These two values create three intervals: (-∞, -2), (-2, 0) and (0, ∞).

Choosing test numbers, one from each interval: {-5, -1, 1}.

7x^2 + 14x is + at x = -5, - at x = -1, and + at x = 1.

Thus, the domain of this function is (-∞, -2) ∪ (0, ∞). In other words, the product shown is defined on (-∞, -2) ∪ (0, ∞).

5 0

3 years ago

What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?

svet-max [94.6K]

Answer:

13, 21

Step-by-step explanation:

Add 8 to the next number from the left to the right.

8 0

3 years ago

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The perimeter of a rectangle is 72 centimeters. The base is 3 times the height. What are the dimensions of the rectangle?

Paha777 [63]

The answer is c. H =9 cm, b = 27 cm

6 0

3 years ago