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Nuetrik [128]
3 years ago
9

What is the product?

Mathematics
2 answers:
Alexxandr [17]3 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]3 years ago
3 0

Answer:

Therefore, the correct option is B.

Step-by-step explanation:

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The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
nydimaria [60]

Volume of the cone = (1/3) pi r^2 h

h = 2r  so substituting for h:-

V = (1/3) pi r^2 * 2r

V = (2/3) pi r^3

5 0
3 years ago
Point D(-3.5) is a vertex of triangle DEF.After a rotation of the triangle about the origin, D' is located at (3,-5).Which of th
Nimfa-mama [501]
<h3>Answer: 180 degrees</h3>

note: it doesn't matter if its clockwise or counterclockwise when it comes to 180 degree rotations.

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

Explanation:

The rule for 180 degree rotations is

(x,y) ---> (-x, -y)

So the x and y coordinates flip in sign from positive to negative, or vice versa.

Point D ' (-3, 5) rotates to D ' (3, -5) following this rule

-----------------

A further detailed break down might look like this

x = -3 becomes -x = -(-3) = 3

y = 5 becomes -y = -5

(-3, 5) ----> (3, -5)

6 0
4 years ago
Please help me. I need help ASAP. ​
lara [203]

Answer:

a) 72

b) $259.2

Step-by-step explanation:

A- The bus travels 40 miles on 8 gallons of gasoline. The bus is traveling 360 miles in total.

360/40= 9

9*8= 72

B- $3.60 per gallon and 72 gallons in total.

3.60*72=259.2

$259.2

5 0
3 years ago
What is the solution to this equation?<br><br> 8x - 5 (x-3) = 18
Kaylis [27]

Answer:

x=1

Step-by-step explanation:

We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)

3 0
3 years ago
Loretta’s income last year was $81,300. She made $56,800 at her salaried job and had additional passive income. If Loretta earne
aalyn [17]

Answer:

Option a.  $2,040

Step-by-step explanation:

step 1

To find out the amount of the additional passive income last year, subtract the amount earned at her salaried job from Loretta’s income last year

so

\$81,300-\$56,800=\$24,500

step 2

Divide the additional passive income last year by 12 (number of months in a year)

\$24,500/12=\$2,041.67

therefore

approximately $2,400 per month

5 0
3 years ago
Read 2 more answers
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