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damaskus [11]
3 years ago
5

How do I find the unit rate of $7.96 for 5 pounds?

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0
\frac{5}{7.96} = \frac{1}{x}  \\  \\ 5*x=7.96*1 \\  \\ 5x=7.96 \\  \\ x= \frac{7.96}{5}  \\  \\ x=1.592 \\  \\ x=1.59

Unit Rate: $1.59 per pound
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(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2 + 4x + 7
zysi [14]

Answer:

Step-by-step explanation:

A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.

The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots.  From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40.  Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

       -4 ±√[-40]         -4 ± 2i√10

x  = ------------------ = ------------------

                4                       4

                                       -2 ± i√10

Thus, the roots are x = ------------------

                                               2

4 0
3 years ago
Mel Needs to park his car for eight hours. Spikes parking place charges five dollars per hour for the first three hours and thre
Dima020 [189]

Answer:

  • Spike's Parking
  • $5 less

Step-by-step explanation:

After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...

  s(h) = 6h -3

For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars

__

After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...

  m(h) = 8h -14

For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars

__

For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.

6 0
3 years ago
1. In 2005, what type of on-the-job accident was associated with the highest number of
Tems11 [23]

Answer:

It's the chemical because they have to work with dangerous stuff.

3 0
3 years ago
Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)
Evgen [1.6K]

Answer:

3y = -2x -7

Step-by-step explanation:

The equation of the line;

     y = -\frac{2}{3}x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

    the equation of a line is given as;

        y = mx + c

where x and y are the coordinate

           m is the slope

          c is the intercept

To solve this problem,

  The slope  -\frac{2}{3} if the same as that of the new line since they are parallel;

Equation of the new line;

    x  = 4 and y = -5

     -5 =  -\frac{2}{3} x 4 + c

      -5 = -\frac{8}{3} + c

       c  = -5 + \frac{8}{3}

       c = -\frac{7}{3}

So, the equation of the line is;

    y =  -\frac{2}{3}x - \frac{7}{3}

 or ;

     3y = -2x -7

7 0
3 years ago
Anthony drove 765 miles in two days. At this rate, how many miles will he drive in 3.5 days
rosijanka [135]

Answer:

1,338.75 miles in 3.5 days.

Step-by-step explanation:

What I did was first, 765/2=382.5

Then I did 382.5x3.5=1338.75(rounded 1339 or 1340)

Hope this helps.

4 0
3 years ago
Read 2 more answers
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