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3 years ago

Which shows the prime factorization of 80? Check all that apply. 2 × 4 × 10 2 × 2 × 2 × 2 × 5 24 × 5 2 × 5 × 8

Mathematics

2 answers:

TEA [102]3 years ago

4 0

Answer:

The Prime Factorization of 80 is, 2 × 4 × 10, 2 × 2 × 2 × 2 × 5 and 2 × 4 × 10

Step-by-step explanation: They are correct, because they all equal 80. 2 × 4 × 10=80 and 2 × 4 × 10=80, and 2 × 2 × 2 × 2 × 5=80.

24 × 5=120, Therefore it's the only incorrect question.

Galina-37 [17]3 years ago

3 0

Answer:B and C

Step-by-step explanation:

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What are the next two terms in the sequence -9,3,-1,...?

Semmy [17]

I think it’s 13 next

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3 years ago

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What’s the sum of interior angles of a 45-gon?

Mashutka [201]

Answer:

Step-by-step explanation:

As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .

7 0

3 years ago

A combination lock requires a user to select three numbers to unlock it, where all three numbers are between 1 to 30, inclusive,

Sonbull [250]

Answer:

$\frac{1}{270}=0.00370$

Step-by-step explanation:

As the numbers are only between 1 and 30

Total number of possible combinations = 30×30×30 = 27000

If there are 100 attempts then

$\text{P (someone guesses correct)}=\frac{\text{Number of attempts}}{\text{Total number of possible combinations}}\\\Rightarrow \text{P (someone guesses correct)}=\frac{100}{27000}\\\Rightarrow \text{P (someone guesses correct)}=\frac{1}{270}=0.00370$

∴ Probability someone can guess the correct combination given 100 attempts is $\mathbf{\frac{1}{270}=0.00370}$

5 0

3 years ago

What is the y- intercept of the graph of 2x + y = -4?

Brrunno [24]

First write the equation in slope-intercept form which is more commonly known as y = mx + b form where the m or the coefficient of the x term represents the slope of the b or the constant term represents the y-intercept.

Subtract 2x from both sides to get y = -2x - 4.

I put the x term first because that's how it is in y = mx + b form.

Now we can see that the b or the constant term is -4.

We can write this as the ordered pair (0, -4).

Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.

8 0

3 years ago

Solve the equation -x/6greaterthanequalto3

enot [183]

Answer (depending if the fraction is positive or negative):

x ≥ 18
x ≤ -18

Step-by-step explanation:

If the fraction is positive:

Write it out: $\frac{x}{6} \geq 3$
Multiply each side by 6 to cancel out the 6 under x. It should now look like this: x ≥ 18

If the fraction is negative:

Write it out: $-\frac{x}{6} \geq 3$
Multiply each side by -6 to cancel out the -6 under x. It should now look like this: x ≤ -18

I hope this helps!

3 0

3 years ago