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3 years ago

15

Alina and Joe are both thinking of the same positive number. Alina tells Joe that her number is a factor of 9, while he tells he

r that it is a factor of 12. If the number is not 1, what is it?

2 answers:

Andre45 [30]3 years ago

7 0

It is 3, given that
$3 \times 3 = 9$
and
$3 \times 4 = 12$

vovikov84 [41]3 years ago

3 0

9 and 12 have a factor of 3

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Write a proof that shows how 45 and 4.5 have a factor of 10

vovikov84 [41]

Answer:

When you move the decimal point one place to the left, you are moving the second by a factor of 10.

Step-by-step explanation:

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3 years ago

Nate biked 56 miles in 4hours. what was Nates average speed for 1 hour?<br>

son4ous [18]

The answer to this one is simple.
An equation to model with would be
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To find ? All you have to do is divide 56 by 4.

So the answer to your question is 14 miles per hour.

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3 years ago

pls help will give brainliest Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Base

kaheart [24]

Answer:

First "order of operations" mistake: step 2

First arithmetic mistake: step 4

Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

$\left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}$

for x = -1 and y = 2.

Her work seems to be ...

<u>Step 1</u>

$\text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}$

<u>Step 2</u>

$\text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}$

<u>Step 3</u>

$\text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}$

<u>Step 4</u>

$\text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}$

_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

$\left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}$

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We expect your answer is supposed to be Step 4.

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3 years ago

If 30 marbles were to divided between 7 people how much each person will get ?

kirza4 [7]

Hi,

Here is the equation.
$30 \div 7 = 4.28$
Each person would get 4.28 marbles.

Hope this helps.
r3t40

3 0

3 years ago

Find values for c and d that make h(x) continuous.

rewona [7]

By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.

<h3>How to make a piecewise function continuous</h3>

According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:

2 · x = c · x² + d, for x = 1 (1)

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Then, we have the following system of linear equations:

c + d = 2 (1b)

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The solution to this system of linear equations is c = 10 and d = -8.

To learn more on piecewise functions: brainly.com/question/12561612

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2 years ago