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Dafna1 [17]
3 years ago
10

Briteney scored an 85 on her last math test.Write the prime factorization of 85.

Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0
The prime factorization is 5 and 17 because those are the prime factors of 85

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Two planes start flying towards each other simultaneously from two different cities. The distance between the cities is 960 mile
ANTONII [103]

Answer:

257.5 mph

332.5 mph

Step-by-step explanation:

The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is

d=960-75=885 miles

Calling v1 and v2 the velocities of the two planes, we have the following equations:

(1) v_1 = v_2 + 75 --> velocity of plane 1 exceeds velocity of plane 2 by 75 mph

(2) v_1 t+ v_2 t=885 --> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)

Substituting t=1.5 h, the second equation becomes:

1.5 v_1+1.5 v_2=885\\v_1 + v_2 = 590

By substituting (1) into this last equation, we find:

(v_2+75)+v_2 = 590\\2v_2 + 75 = 590\\2v_2 = 515\\v_2=257.5

And substituting this back into eq.(1), we find

v_1 = 257.5 + 75=332.5

So, the speeds of the two planes are

257.5 mph

332.5 mph



3 0
3 years ago
Solve the following problem. PV=$24,122; n = 70; i = 0.024; PMT ?; PMT = $ (Round to two decimal places.)
Ira Lisetskai [31]

Answer:

The payment per period is $714.82.

Step-by-step explanation:

Given information: PV=$24,122; n = 70; i = 0.024

The formula for payment per period is

PMT=\frac{PV\times i}{1-(1+i)^{-n}}

Substitute PV=$24,122; n = 70; i = 0.024 in the above formula.

PMT=\frac{24122\times 0.024}{1-(1+0.024)^{-70}}

PMT=\frac{578.928}{0.80989084337}

PMT=714.822256282

PMT\approx 714.82

Therefore the payment per period is $714.82.

7 0
3 years ago
Consider the inequality.<br> What is the solution to inequality
Paladinen [302]

Answer:

C, hope this helps :)

6 0
3 years ago
Read 2 more answers
Can someone help me with this pls
Shtirlitz [24]
The answer is -12
try using demos it helps a lot with number lines and graphs (:
6 0
3 years ago
Read 2 more answers
Estimate the average annual growth rate of the world population for 1950, 1988, and 2010 using model 17 from the previous page.
hodyreva [135]
Although I don't see 1950, 1988, or 2010 on your model, I did calculate the average for 1972, 1982, 1992, and 2002: the average that I got was 1.6025 (this answer has not been rounded due to the fact that I don't know if you need to round it)
hope this helps
3 0
3 years ago
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