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3 years ago

For non-zero denominators, simplify:

"TexFormula1" title="\frac{3a^3-75a}{a(a+5)(a+5)}" alt="\frac{3a^3-75a}{a(a+5)(a+5)}" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Debora [2.8K]3 years ago

8 0

$\frac{3a^3-75a}{a(a+5)(a+5)}=\frac{3a(a^2-25) }{a(a+5)(a+5)}=\frac{3a(a - 5)(a+5) }{a(a+5)(a+5)} =\frac{3 (a - 5) }{ (a+5) }$

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Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?

spin [16.1K]

Answer: If the number of bills counted is odd, the ones digit is 5; if the number of bills is even, the ones digit is 0.

Explanation

1) Simulate the counting of the bills:

number of bills counted          value            ones digit

1                                             5                         5

2                                             5 + 5 = 10       0

3                                             10 + 5 = 15         5

4                                             15 + 5 = 20         0

5                                              20 + 5 = 25        5

6                                              25 + 5 = 30        0

2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...

If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.

4 0

3 years ago

Trenton and Maria record how much dry food their pets eat on average each day.• Trenton's pet: 4/5 cup of dry food• Maria's pet:

Phoenix [80]

6.3 many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks

<u>Step-by-step explanation:</u>

We have , Trenton and Maria record how much dry food their pets eat on average each day.• Trenton's pet: 4/5 cup of dry food• Maria's pet: 1.25 cups of dry food. Based on these averages . We need to find how many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks . We need to find how much they eat for 14 days as:

Trenton's pet: 4/5 cup of dry food•

With 4/5 per day , for 14 days :

⇒ $14(\frac{4}{5} )$

⇒ $14(0.8 )$

⇒ $11.2$

Maria's pet: 1.25 cups of dry food.

With 1.25 per day , for 14 days :

⇒ $14(1.25 )$

⇒ $17.5$

Subtracting Maria's - Trenton's :

⇒ $17.5-11.2=6.3$

That means , 6.3 many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks

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3 years ago

For Triangle ABC, if AB = 10 mm, BC = 19 mm, and CA = 15 mm, what is the SMALLEST angle measure? * 1 point Angle A Angle BFor Tr

Natasha_Volkova [10]

Answer:

Angle C

Step-by-step explanation:

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3 years ago

Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which sta

Serjik [45]

The correct product should have been:
<span>(–4x + 9)2 = </span>(-4x)2 + 2(-4x)(9) + 9^2 = 16x6 - 72x +81
The result is a trinomial and not a binomial nor a difference of two squares.

So, the answer is:
C = Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

8 0

3 years ago

Read 2 more answers

PLEASE HELP ONLY HAVE FOUR MINUTES

kumpel [21]

Sorry but I dont think you are gonna get the answer in 4 minutes

8 0

3 years ago