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3 years ago

The GCF of 15 and 27 is _____. Numerical Answers Expected! Answer for Blank 1:

Mathematics

1 answer:

Furkat [3]3 years ago

6 0

Answer is 3, you can try it. I’m pretty sure it’s correct.

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Out of 25 students, 15 students are girls. what is the ratio of boys and girls? a: 3:5 b: 2:5 c: 2:3

Vadim26 [7]

Answer:

Answer: C 2:3

Step-by-step explanation:

total students = 25

total girls = 15

total boys = 25-15 = 10

boys:girls = 10:15

divide by 5 to get 2:3

6 0

2 years ago

You have 24 toys for 6 children.

Lelu [443]

24 divided by 6 equals 4

5 0

3 years ago

Integrate this two questions

tankabanditka [31]

Simplify the integrands by polynomial division.

$\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)$

$\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)$

Now computing the integrals is trivial.

$\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}$

where we use the power rule,

$\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)$

and a substitution to integrate the last term,

$\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)$

$\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}$

using the same approach as above.

5 0

2 years ago

Find the future value of $3633.49 invested for 2 years at 4% compounded monthly?

SSSSS [86.1K]

Answer:

$290.68

Step-by-step explanation:

$3633.49 times 2 times 4% = $290.68

3 0

3 years ago

Which equation is satisfied by all of the plotted points?

Lubov Fominskaja [6]

A. y=2x
because slope-intercept form is y=mx+b. m= slope & b= y-int. The y-int is at the origin, so therefore y=0. The slope is 2, so therefore the answer is y=2x

8 0

3 years ago