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makvit [3.9K]
4 years ago
12

Two students in mr d'alsesandro's class were asked to write an equivalent expression for the expression (a-6) (a-4). identify th

e student with the correct work and where the mistakes were in the other students work
gabrielles work


(a-6) (a-4)

= a.a = a(-4) - 6(a) - 6(-4)

= a ^2 - 4a - 6a - 24
= a^2 - 10a - 24




britneys work

(a-6) (a-4)
= a.a - 4a -6a -6(-4)
= a ^2 -10 a
+24
Mathematics
1 answer:
Ilya [14]4 years ago
3 0

Answer:

Britney is correct

Step-by-step explanation:

Gabrielle is wrong because when mutiply -6 and -4, the negatives cancel out to give +24.

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numbers of the wide waters Club pay $105 per summer season plus $9.50 each time they rent a boat non members must pay $14.75 eac
Ahat [919]

The member pays  $9.50  to take a boat out,
plus  $105  just to be a member.

Let's call ' R ' the number of rentals

               Member Cost  =  (9.50 times R) + 105

        Non-member cost  =  (14.75 times R) .

You're interested in  when their costs are equal,
so at that point, we can write ...

           Member cost  =  non-member cost

                 9.5 R + 105  =  14.75 R

Subtract  9.5 R  from each side:  105  =  5.25 R

Divide each side by  5.25 :             20  =  R  

If you're going to rent a boat less than 20 times during the
Summer season, rent them at the non-member rate.

More than 20 times in 1 Summer, you'll save money by being
a member.  

This sounds a bit extreme to me.  If the Summer season means
ALL of May, June, July, August, and September, then you would
need to average more than one rental every 7.65 days ... a hair
more than one a week ... in order to save any money by being a
member.  I love sailboat rental, and I live just 2 miles from Lake
Michigan, but even at these prices (cheap), I would never average
a rental every week for 5 months.   So for me, there would be no
benefit in a membership ... at least not in the cost of boat rental.        

========================================

Another way to do it, with more brain but less algebra:

Each time a member rents a boat, he pays  (14.75 - 9.50) = 5.25
LESS than a non-member would pay to rent the same boat.
But in order to get that deal, he had to pay $105 "up front", at the
beginning of the season, before he ever rented anything.

How many times does he have to 'save' $5.25 before he makes up
for the the  $105 ?

           ($105) / ($5.25)  =  20 times .

8 0
4 years ago
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Anon25 [30]

The answer would be Always

Hope this helped! :D

5 0
3 years ago
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Which expression represents 100 divided by an unknown number?
Kazeer [188]
B I'm pretty sure since p is the unknown number.
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3 years ago
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State University uses thousands of fluorescent light bulbs each year. The brand of bulb it currently uses has a mean life of 600
Ipatiy [6.2K]

Answer:

The test statistic is t = 2.5.

The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.

Step-by-step explanation:

Mean life of 600 hours. Test if it is more.

At the null hypothesis, we test if the mean is of 600 hours, that is:

H_0: \mu = 600

At the alternative hypothesis, we test if the mean is of more than 600 hours, that is:

H_1: \mu > 600

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

600 is tested at the null hypothesis:

This means that \mu = 600

Suppose 100 bulbs were tested and found to have a mean of 625 hours with a standard deviation of 100.

This means that n = 100, X = 625, s = 100.

Value of the test-statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{625 - 600}{\frac{100}{\sqrt{100}}}

t = 2.5

The test statistic is t = 2.5.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 625 hours, which is a right-tailed test, with t = 2.5 and 100 - 1 = 99 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.007.

The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.

4 0
3 years ago
A square room contains 500 m^3 of air. if the cost of painting its four walls at Rs 8 per m^2 be Rs 1600, Find the height of the
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Answer:

I'm sorry if i'm wrong but I hope this helps

Step-by-step explanation:

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6 0
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