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Darya [45]
3 years ago
15

How do you find the smallest positive integer k such that 1350k is a perfect cube?

Mathematics
1 answer:
Kryger [21]3 years ago
3 0
A cube is x*x*x
prime factor 1350
1350*k
5*270*k
5*3*90*k
5*3*3*30*k
5*3*3*3*10*k
5*3*3*3*2*5*k
what value does k have to be to have three of each prime factor?
k = 5*2*2 = 20

Then 1350*20 = 27,000 = (5*3*2)^3
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Find the solution of this system of equations. Separate the x- and y-values with a comma. x - 4y = 12 and x - y = 0
Elenna [48]
Use elimination and subtitution method to solve the problem.
First, eliminate x and you'll find the value of y
x - 4y = 12
x -  y  = 0
--------------- - (substract)
     -3y = 12
        y = 12/-3
        y = -4

Second, subtitute -4 as y and you'll find the value of x
x - y = 0
x- (-4) = 0
x + 4 = 0
x = -4

The solution
x,y = -4,-4
6 0
3 years ago
Given the two points what is the slope of the line?<br> (4,2) (10.4)
zlopas [31]

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Therefore, the slope of the line is 1/3. In case if you want the equation too.

y=mx+b\\y=\frac{1}{3}x+b\\ 2=\frac{1}{3}(4)+b\\ 2=\frac{4}{3}+b\\ b=-\frac{4}{3}+2\\ b=-\frac{4}{3} +\frac{6}{3}\\ b=\frac{2}{3}

Therefore, the equation is y=1/3x+2/3

6 0
3 years ago
Find the nth term of: 11, 18, 37, 74, 135
storchak [24]
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6 0
3 years ago
27 + 71 = 98 + 1 - ______. What should come in the box to make the above number sentence true?
Andreas93 [3]

Answer:

A

Step-by-step explanation:

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metaphase

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8 0
2 years ago
Brittany has 50 beads. 70% of the beads are gold. How many beads does Brittany have?
Ket [755]

Answer: 35 gold beads and 15 non-gold beads

Step-by-step explanation:

70% of 50

.70×50 = 35

50 - 35 = 15

6 0
3 years ago
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