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3 years ago

Make a factor tree for 42

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

5 0

Answer:

The number 43 is a composite number because 42 can be divided by 1, by itself and at least by 2, 3, and 7. So it is possible to draw its prime tree. The prime factorization of 42=2*3*7

Step-by-step explanation:

hope this helps :)

schepotkina [342]3 years ago

4 0

Hope it helpppppssss !!!!

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Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

1. Convert the mixed fraction to an improper fraction

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

2. Now the equation is,

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

3. Take LCM on both sides.

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

4. Solve by making a the subject

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = $\frac{20}{-15}$

a = $\frac{4}{-3}$

Therefore, the answer is a = $\frac{4}{-3}$

Keyword: Equations

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3 years ago

The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If

frutty [35]

For this case we have the following equation:
$w = 0.9* \sqrt{E}$
Where,
w: The weight of a spring in pounds
E: the energy stored by the spring in joules.
Substituting values we have:
$w = 0.9* \sqrt{12}$
Making the corresponding calculation:
$w=3.12$
Answer:
the approximate weight of the spring in pounds is:
$w=3.12$

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3 years ago

Read 2 more answers

What is an equation of the horizontal line that passes through (5, -7)?

Tom [10]

The equation is y = 7

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4 years ago

What is the equation of Pythagorean Theorem?

Svetradugi [14.3K]

Answer: a²= b²+c²

Step-by-step explanation:

Pythagorean theorem states the sum of the square of the other sides of Right angled triangle equals to the square of the longest side (hypotenus) of such triangle

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3 years ago

A large box has dimensions of 56 cm long, 40 cm wide, and 24 cm tall. A smaller box has dimensions of 7 cm long, 4 cm wide, and

yarga [219]

Answer:

320 small boxes can fit into the large box

Step-by-step explanation:

large box = 56*40*24 = 53,760

small box = 7*4*6 = 168

53,760/168 = 320

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3 years ago