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Tom [10]
3 years ago
8

1 and 5/6 + 2 and 2/11

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
1 \frac{5}{6} +2 \frac{2}{11} =\frac{(1\times6)+5}{6} +\frac{(2\times 11)+2}{11} =\frac{11}{6}+\frac{24}{11} \\\\=\frac{11\times 11}{6\times 11} +\frac{24\times6}{11\times6} =\frac{121}{66} +\frac{144}{66}=\frac{121+144}{66} =\frac{265}{66}\\\\=\boxed{\bf{4\frac{1}{66}}}
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Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 28, the sum of the square
fgiga [73]

Answer:

Step-by-step explanation:

1) f(x) = x+y , xy = 49 --> f(x) = x+49/x

f '(x) = 1-49/x2 , x = ±√49 , choose x = +7

y = 49/x = 7

smaller = 7

larger = 7

2) Vertical Distance is difference between the two functions

V(x) = x+56 - x2, V '(x) = 1 -2x --> x = 1/2 --> V(1/2) = 56.25 <---Max Vertical distance

Boundary at -7 and 8 are less

3) I googled the equation, it is really y(n) = kn/(49+n2)

y '(n) = (k(49+n2) - 2kn2)/(49+n2) , Setting to zero, k(49+n2) -2kn2 = 0 , n = 7

4) Let x and y be the sides of the rectangle. A = xy = 37.5 Million or y = 37.5/x

The length of the fences is f(x) = 2x + 3y = 2x+112.5/x

f '(x) = 2-112.5/x2 --> x = √56.5 = 7.5 and y = 37.5/7.5 = 5 then scale by √Million

smaller = 5000 ft and larger = 7500 ft

this took me ages to work out so hopefully it helped

4 0
2 years ago
Read 2 more answers
What is 34-5x6? Help pls thx
azamat

Answer:

4

Step-by-step explanation:

Order of operations multiplication then subtraction so 5*6=30

34-30=4

8 0
2 years ago
Find the 50th term of the sequence 5, -2, -9, -16
VARVARA [1.3K]

Answer:

-35

Step-by-step explanation:

it is going backwards by -7 so 5x-7 = -35

6 0
3 years ago
Lesson 1 Homework
Nonamiya [84]

128

This question requires us to solve an infinite GP

As we can see the first unit is 16 wide, then 8, then 4 and so on; this can be written as  

64(1,0.5,0.25,0.125,....\infinity∞)  (64 used as 16*4 = 64 is the area of the first rectangle)

We have  S∞=a/(1-r) where a is the first term and r is the common ratio of the GP for summing an infinite GP.

here we have  

a=64  \\   r=0.5

Therefore

S∞=\frac{64}{1-0.5} \\\\=\frac{64}{0.5} \\\\=128

Learn more about GP here

brainly.com/question/16954106

#SPJ9

5 0
1 year ago
A new movie is currently showing at the local movie theater. For the 6:00 pm showing, the theater sold 36 student tickets and 24
amm1812

Answer:

36x + 24y = 423 (1)

41x + 38y = 585.75 (2)

x =$5.25

y = $9.75

Step-by-step explanation:

x = the number of student tickets sold

y = the number of adult tickets sold

36x + 24y = 423 (1)

41x + 38y = 585.75 (2)

Multiply (1) by 38 and (2) by 24

1368x + 912y = 16,074 (3)

984x + 912y = 14,058 (4)

Subtract to eliminate y

1,368x - 984x = 16,074 - 14,058

384x = 2,016

x = 2,016/384

x = 5.25

Substitute x = 5.25 into (1) to find y

36x + 24y = 423

36(5.25) + 24y = 423

189 + 24y = 423

24y = 423 - 189

24y = 234

y = 234/24

y = 9.75

x =$5.25

y = $9.75

4 0
3 years ago
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