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babunello [35]
2 years ago
11

Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\]

%20number%20of%20ordered%20pairs%20%24%28m%2Cn%29%24%20of%20integers%20that%20satisfy%20%5C%5Bmn%20%3D%202m%20%2B%204n.%5C%5D" id="TexFormula1" title="Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\]" alt="Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\]" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Anna35 [415]2 years ago
5 0

There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).

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Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the ro
skelet666 [1.2K]

Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

√(x + 8) − √(x − 4) = 2

Solving:

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

8 0
3 years ago
HELP NEEDED !!!!
Fofino [41]
The answer is Letter D - 84%

68% of the data is within +/- 1 SD from the mean = 59 to 7195% of the data is within +/- 2 SDs from the mean = 53 to 7799.7% of the data is within +/- 3 SDs from the mean = 47 to 83

The whole 68% (59 - 71) scored below 71. Since the data are evenly distributed, we'll get the 32% (100 - 68) outside the range of 68% and divide it by 2 and add the quotient to the original 68% so that we'll get the total data below 71.
   100 - 68 = 32
   32 / 2 = 16
   16 + 68 = 84
7 0
3 years ago
30 points!!!
kykrilka [37]

Answer:

no idea to anybody help him

8 0
3 years ago
Read 2 more answers
Jayla is a salesperson. She sold a guitar for $96 and earned 20% commission. How much
dexar [7]

Answer:

$115.20

Step-by-step explanation:

Hi! We need to find 1% of 96 to multiply by 20.

96 / 100 = .96

Now we multiply by 20.

20 x .96 = 19.2.

Now, we add 19.2 to what she earned in the first place (96).

19.2 + 96 = 115.20

Hope this helps!

4 0
3 years ago
Jackson received a paycheck with a salary of $4,200. The check included a deduction of $725 for taxes, $215 in benefits paid by
Artemon [7]

Answer:

C

Step-by-step explanation:

(4,200 - 725) + 215 + 375 = 4065

I WAS THE FIRST TO PUT THIS, so if someone says the same, they copied me

7 0
2 years ago
Read 2 more answers
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