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Yuri [45]
3 years ago
15

Which expression is equivalent to the product of p+7/3 and 6/p , where p is not equal to 0?

Mathematics
2 answers:
vichka [17]3 years ago
8 0

Answer:

\frac{(6p+14)}{p}

Step-by-step explanation:

(p+\frac{7}{3})(\frac{6}{p})

Making denominator same in first bracket we get

(\frac{3p+7}{3})(\frac{6}{p})

(\frac{(3p+7)*6}{3*p})

Dividing 6 by 3 we get 2

(\frac{(3p+7)*2}{p})

using distributive law

(\frac{6p+14}{p})\\

Hence this is our answer

ruslelena [56]3 years ago
8 0

Answer:

Option d. 2p +  \frac{14}{p}

Step-by-step explanation:

We have to find the expression equivalent to the product of ( P + \frac{7}{3}) and (  \frac{6}{p} ) where p ≠ 0

( p +  \frac{7}{3} ) × (  \frac{6}{p} )

= p (  \frac{6}{p} ) + (  \frac{7}{3} ) ( \frac{6}{p} ) [distributive law]

= 6 + ( \frac{14}{p} )

=  \frac{(6p+14)}{p}

Therefore, option D is the answer.

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From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab
Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:  

tan40 = 16/x

Solving for x  

x =16/tan40

x= 19 ft  

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
Please help!!!! No explanation needed <br> Help is appreciated
Elodia [21]

Answer:

A

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8 0
3 years ago
In the third quarter of 2001, the median sale price for a single-family
snow_tiger [21]

Answer:

The % increase is 7.179 but see the remark I made below. What I have given and what it could be is a rounding error. Less than 2 dollars error is not much when you are calculating something for someone just to show them how to do it.

Step-by-step explanation:

242,555 * x/100 = 259,970           Multiply by 100

242,555 * x = 259970 * 100

242,555 * x = 25997000            Divide by 242555

x = 24997000/242444

x = 107.179

That's the total increase.

What you want is 7.179%

If you take 7.179% of 242,555 and add it onto 242555 you should get 259,970

7.1797/100 * 242555 = 17413.02

17413.02 + 242555 = 259968.02

Why isn't it exact. I'm out just about 2 whole dollars. The reason is that the % isn't exact. It's only out to 3 decimal places which apparently is not enough. You can go over my numbers if you want more exactness us use something that is rounded to 7.180 if you like.

8 0
3 years ago
Solve |p + 2|= 10<br> (-12)<br> {-8. 8)<br> {-12, 8)
Firdavs [7]

Answer:

i belive p= 8

Step-by-step explanation:

10-2= 8

8+2 is 10 so p +2 woyld =10

3 0
2 years ago
You need to rent a video camera for your school project. Murphy's Camera charges a $30 rental fee plus $35 per day. Allied Renta
andreev551 [17]

A. If a camera is rented for 1 or 2 days, it would be logical to rent it from Murphy's.

B. If a camera is needed for more than 3 days, it would make sense to rent it from Allied rental.

C. Yes, if a camera is rented for 3 days both rentals charge the same money.

C. If you were need a camera for 3 days, you would have to pay $135 for both stores.

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

Step 1; Murphy's camera costs $30 to rent and an additional $35 for each day of rental. So the equations are

y = $30 + (x × $35), where y is total cost and x is the number of days rented.

So for x = 1, y = $30 + (1 × $35) = $30 + $35 = $65

So for x = 2, y = $30 + (2 × $35) = $30 + $70 = $100

So for x = 3, y = $30 + (3 × $35) = $30 + $105 = $135

So for x = 4, y = $30 + (4 × $35) = $30 + $140 = $170

So for x = 5, y = $30 + (5 × $35) = $30 + $175 = $ 205.

Step 2; Allied rental costs $45 to rent and a $30 for each day of rental. So the equations are as follows

y = $45 + (x × $30), where y is total cost and x is the days rented

So for x = 1, $45 + (1 × $30) = $45 + $30 = $75

So for x = 2, $45 + (2 × $30) = $45 + $60 = $105

So for x = 3, $45 + (3 × $30) = $45 + $90 = $135

So for x = 4, $45 + (4 × $30) = $45 + $120 = $165

So for x = 5, $45 + (5 × $30) = $45 + $150 = $195

Step 3; Comparing both prices over 5 days. Murphy's is cheaper for until 2 days. On day 3 both the rentals cost the same but after day 4, allied rentals is the better option.

3 0
3 years ago
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