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3 years ago

Use prime factorization to find gcf of 57 and 27

Mathematics

1 answer:

Vadim26 [7]3 years ago

4 0

Gcf (57,27) = 57×27/lcm(57,27)=1539/513 = 3

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What is the radius of a circle if the diameter is 50 inches? (just type in your answer as a number only)

sergeinik [125]

Answer: Given radius (R) = 50

Diameter = 2R = 100

Circumference = 2πR

= 100π

= 314.15926535898

Area = πR2

= 2500π

= 7853.9816339745

6 0

2 years ago

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How many solutions does this linear have y= 5x-1 -15x-3y=3?

musickatia [10]

-15x - 3y = 3

-15x - 3(5x-1) = 3 [input y]
-15x - 15x - 3 = 3 [distribute 3 over 5x and -1]
-30x - 3 = 3 [combine like terms]
-30x = 6 [add 3 to eliminate the negative]
x = $\frac{6}{-30}$ [divide by -30 to get x alone]
x = $\frac{1}{-5}$ [reduce the fraction]

Hopefully this is helpful enough to get you to your answer

4 0

2 years ago

Use integration by parts to find the integrals in Exercise. ∫(4x-12)e-8x dx.

stepladder [879]

Answer:

$e(2x^{2} -12x)-4x^{2}+C$

Step-by-step explanation:

We have been given an indefinite integral as $\int \left(4x-12\right)e-8x\:dx$ . We are asked to find the given integral.

Let us solve our given problem.

$\int \left(4x-12\right)e\:dx-\int 8x\:dx$

Take out constant:

$e\int \left(4x-12\right)\:dx-8\int x\:dx$

$e(\int 4x\:dx -\int 12\right\:dx)-8\int x\:dx$

$e(\frac{4x^{1+1}}{2} -12x)-8*\frac{x^{1+1}}{1+1}+C$

$e(\frac{4x^{2}}{2} -12x)-8*\frac{x^{2}}{2}+C$

$e(2x^{2} -12x)-4x^{2}+C$

Therefore, our required integral would be $e(2x^{2} -12x)-4x^{2}+C$ .

5 0

2 years ago

A line is defined by the equation y=2/3x-6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of

AlladinOne [14]

Answer:

x=9

Step-by-step explanation:

To find the x-coordinate, plug the y-coordinate into the equation and solve from there.

(0 = 2/3x - 6) (6 = 2/3x) (18 = 2x) 9 = x

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3 years ago

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How much of the 8% solution should we use to make 100g of a 3% solution?

sp2606 [1]

Suppose x grams of 8% solution should be mixed to make 100 g of 3% solution.
here we shall have:
the amount of 3% solution in the 100 g will be:
3/100*100=3 grams
the the equation will be, 8% of what quantity becomes 3g?
(8/100)*x=3
hence solving for x we shall have:
0.08x=3
x=3/0.08
x= 37.8 grams
The implication of this is that, when you have 37.5 grams of 8% solution, that will contain 3 of pure chemical and hence when you add more solvent on top of 37.5 g until you reach 100g, that will be 3% solution.

8 0

2 years ago

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