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3 years ago

What is the greatest common factor (GCF) of 48 and 56? A. 168 B. 8 C. 4 D. 336

Mathematics

2 answers:

Sergio039 [100]3 years ago

7 0

Answer:

B. 8

Step-by-step explanation:

48/8=6

56/8=7

netineya [11]3 years ago

6 0

Answer:

GCF = 8

Step-by-step explanation:

Find the prime factorization of 48

48 = 2×2×2×2×3

Find the prime factorization of 56

56 = 2×2×2×7

To find the GFC, multiply all the prime factors common to both numbers

Therefore, GCF = 2×2×2

GCF = 8

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An investment of $900 earns 6% annual interest and is compounded semi-annually. Write an equation

nalin [4]

Answer:

$A=900(1+\frac{0.06}{2})^{2(t)}$

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 6% into a decimal:

6% -> $\frac{6}{100}$ -> 0.06

Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:

$A=900(1+\frac{0.06}{2})^{2(t)}$

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2 years ago

If she can pick 52 apples in one hour how many can she pick in 45 min

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Answer:

39 apples

Step-by-step explanation:

45 is 3/4 or 75% of an hour. So, multiply 52 by 75% to find the answer.

75% ÷ 100 = 0.75

52 x 0.75 = 39

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3 years ago

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Yakvenalex [24]

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3 years ago

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.

alexandr402 [8]

Answer:

slope-inercept form: y = 3x + 3 point-slope form: y - 9 = 3(x - 2)

Step-by-step explanation:

slope-intercept form:

y2 - y1 / x2 - x1

9 - (-6)/ 2 - (-3)

= 3

y = 3x + b

9 = 3(2) + b

9 = 6 + b

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point-slope form:

y - 9 = 3(x - 2)

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3 years ago

Suppose a triangle has 2 sides of length 3 and 4 and that the angle between these two sides is 60 degrees. what is the length of

shusha [124]

Answer:

$\boxed{b.\:\:\:\sqrt{13}}$

Step-by-step explanation:

Let the third side of the triangle be $h\: units$ .

We can apply the cosine rule to find $h$ .

$h^2=3^2+4^2-2(3)(4)\cos(60\degree)$

We evaluate to obtain;

$\Rightarrow h^2=9+16-24(\frac{1}{2})$

$\Rightarrow h^2=25-12$

$\Rightarrow h^2=13$

We take the positive square root of both sides to obtain;

$\Rightarrow h=\sqrt{13}$

The correct answer is B.

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3 years ago