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Nuetrik [128]
2 years ago
9

What is the product?

Mathematics
2 answers:
Alexxandr [17]2 years ago
6 0

Answer:

Option B.

Step-by-step explanation:

The given expression is

\dfrac{2a-7}{a}\times \dfrac{3a^2}{2a^2-11a+14}

We need to find the product.

The given expression can be rewritten as

\dfrac{2a-7}{a}\times \dfrac{3a^2}{2a^2-7a-4a+14}

\dfrac{2a-7}{a}\times \dfrac{3a^2}{a(2a-7)-2(2a-7)}

=\dfrac{2a-7}{a}\times \dfrac{3a^2}{(2a-7)(a-2)}

=\dfrac{(2a-7)3a^2}{a(2a-7)(a-2)}

Cancel out the common factors.

=\dfrac{3a}{a-2}

So, \dfrac{2a-7}{a}\times \dfrac{3a^2}{2a^2-11a+14}=\dfrac{3a}{a-2}

Therefore, the correct option is B.

masya89 [10]2 years ago
3 0

Answer:

Therefore, the correct option is B.

Step-by-step explanation:

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Answer:

6/8

9/12

12/16

Step-by-step explanation:

6 0
3 years ago
The number of dimes in Kiara's collection is 13 more than 5 times the
adelina 88 [10]

Answer: I don’t think I understand can you set this up differently so I can answer this please

Step-by-step explanation:

6 0
2 years ago
Find the missing side. Round your answer to the nearest hundredth.<br> х<br> 28°<br> 42 in<br> in
sleet_krkn [62]

Answer:

The length of the missing side x = 47.57 in    

Step-by-step explanation:

Given

Ф = 28°

The length of the side adjacent to the angle Ф is = 42 in

To determine

The hypotenuse x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

substitute adjacent = 42 in, hypotenuse = x and Ф = 28°

cos 28° = 42 / x

x = 42 / cos 28°

x = 47.57 in      

Therefore, the length of the missing side x = 47.57 in    

6 0
3 years ago
Ricky Bobby wants to buy a new automobile for $55,000 in 8 years. How much money must Ricky's original investment be if he makes
laila [671]

Answer:

PV= $40,279.36

Step-by-step explanation:

Giving the following information:

Number of periods= 8*12= 96 months

Interest rate= 0.039/12= 0.00325

Future value (PV)= $55,000

<u>To calculate the initial investment, we need to use the following formula:</u>

PV= FV/(1+i)^n

PV= 55,000 / (1.00325^96)

PV= $40,279.36

4 0
2 years ago
A fish tank has a base area of 45cm2 and is filled with water to a depth of 12cm.If the height of the tank is 25cm, how much wat
stepladder [879]

Answer:

Step-by-step explanation:

v = 45 * 12

v = 540cm³

To fill the tank,

v = 45 * 25

v = 1,125cm³

I'm not quite sure what the exact question is so i'll answer both;

1.) The volume of water required to fill the tank from empty = 1,125cm³

2.) The volume of water required to fill the tank from it's current level is

1,125cm³ - 540cm³ = 585cm³

6 0
3 years ago
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