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nika2105 [10]
3 years ago
9

What is the greatest common factor of 96x^2 and 88x

Mathematics
1 answer:
nevsk [136]3 years ago
5 0

Answer:

GCF = 8x

Step-by-step explanation:

Find the GCF of the constants:

96 and 88 are both divisible by 8 which is the GCF of the constants.

The GCF of the variables is x, as you cannot divide x by anything more than x.

The total GCF is 8x.

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Which statements are true about the ordered pair (10, 5) and the system of equations?
Alexeev081 [22]

Answer:

C

Step-by-step explanation:

We have the system of equations:

\left\{\begin{array}{ll}2x-5y=-5 \\ x+2y=11\end{array}

And an ordered pair (10, 5).

In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.

So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.

Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

2(10)-5(5)\stackrel{?}{=}-5

Evaluate:

20-25\stackrel{?}{=}-5

Evaluate:

-5\stackrel{\checkmark}{=} -5

So, our ordered pair satisfies the first equation.

Now, we must test it for the second equation. Substituting gives:

(10)+2(5)\stackrel{?}{=} 11

Evaluate:

20\neq 11

So, the ordered pair does not satisfy the second equation.

Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.

Therefore, our answer is C.

3 0
3 years ago
Debby needed one-third of a cup of water for 1 flower if she had nine flowers how many cups wold she need
4vir4ik [10]
To solve this problem, you must multiply the 1/3 cup of water needed for one flower, by 9. 
1          9            9
---  *   -----   =   ----  =  3 cups
3           1           3
5 0
3 years ago
27÷819= <br> give me the quotient for 27÷819
Dafna11 [192]

Answer:

0.03296703

Step-by-step explanation: Just put this in the calculator and it will give you an answer. If youb dont have a calculator then look it up on the computer!

~Cake Queen (:

3 0
3 years ago
In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:
Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that n = 1289.

Of the respondents, 436 replied that America is doing about the right amount. This means that \pi = \frac{436}{1289} = 0.3382.

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. ​

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364

The 95% confidence interval is:

B (0.312, 0.364)

5 0
3 years ago
Emilio’s paycheck was $305.25, and he makes $9.25 per hour. How many hours did Emilio work?
Anastaziya [24]
$305.25 divided by $9.25 equals 33, so he worked 33 hours... hope this helped.
5 0
4 years ago
Read 2 more answers
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