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kati45 [8]
4 years ago
11

Phil drove for 5 hours at 65 miles per hour. How far did he drive if d = rt ?

Mathematics
2 answers:
dexar [7]4 years ago
8 0

Answer:

325miles

Step-by-step explanation:

5*65=325

skelet666 [1.2K]4 years ago
8 0

Answer:

Phil drove 325 miles. d = 325 miles.

Step-by-step explanation:

Just in case you didn't already know, d = rt stands for distance = rate × time.

We know that the rate, or r, is 65 m/h (aka mph or miles per hour) and the time, or t, is 5 hours. Plug the values for r and t into the equation:

d = 65 × 5

multiply 65 by 5 (it is 325)

d = 325

Remember, this is in miles.

d = 325 miles

I hope this helps. :)

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Determine The number of solutions 3(x-4)=2x+6
Trava [24]

Answer:

The answer will be listed below.

Step-by-step explanation:

First of all, you want x to by itself, so distribute the three to both x and negative 4 so you'll get 3x-12=2x+6.

Now, subtract 2x from both sides and add 12 to both sides and you'll get an answer of x=19. From that, you are able conclude that this equation has one solution.

3 0
3 years ago
Find the area to 5 cm and 9 cm
Alexandra [31]

Answer:

\large\boxed{A=45\ cm^2}

Step-by-step explanation:

It's a parallelogram.

The formula of an area of a parallelogram:

A=bh

b - base

h - height

We have b = 9cm and h = 5cm. Substitute:

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5 0
4 years ago
Read 2 more answers
( simultaneous equations)
daser333 [38]

Answer:

See method below.

Step-by-step explanation:

m/n + n/3 = 2

2/m + n = 4    

First  eliminate the fractions by multiplying the first equation by 3n:-

3m + n^2 = 6n...........(1)

and the second equation by m:-

2 + mn = 4m..............(2)

Now we solve using substitution:-

From equation  (2):-

4m - mn = 2

m = 2 / (4 - n)

Now substitute for m in equation (1):-

6/ (4 - n) + n^2 = 6n

6 + n^2(4 - n) = 6n(4 - n)

6 + 4n^2 - n^3 = 24n - 6n^2

n^3 - 10n^2 + 24n - 6 = 0

This will not factor so we could solve this using graphical software.

To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.






6 0
4 years ago
A paper air plane looking polygon with sides of 5 5 and 8 what is the area
VARVARA [1.3K]
If it has 3 sides then it's a triangle. 
Using the formula A= \sqrt{s(s-a)(s-b)(s-c)} 
where s= \frac{a+b+c}{2}
and  a=5 b=5 c=8

∴s= \frac{5+5+8}{2} =9
  area= \sqrt{9(9-5)(9-5)(9-8)}
  area= \sqrt{144} = 12units^{2}
8 0
3 years ago
Fifty pro-football rookies were rated on a scale of 1 to 5, based on performance at a training camp as well as on past performan
son4ous [18]

Answer:

(a-1) 22 rookies receiving a rating of 4 or better.

(a-2) 14 rookies received a rating of 2 or worse.

(b-1) Constructed below in explanation.

(b-2) 8% of total rookies received a rating of 5.

Step-by-step explanation:

We are provided the rating of Fifty pro-football rookies on a scale of 1 to 5 based on performance at a training camp as well as on past performance.

The frequency distribution constructed is given below:

 Rating          Frequency

     1                       4

     2                     10       where ranking of 1 indicate a poor prospect whereas

     3                     14         ranking of 5 indicate an excellent prospect.

     4                     18

     5                      4

(a-1) Rookies receiving a rating of 4 or better = Rating of 4 + Rating of 5

       So, by seeing the frequency distribution 18 rookies received a rating of

         4 and 4 rookies received a rating of 5.

Hence, Rookies receiving a rating of 4 or better = 18 + 4 = 22 rookies.

(a-2) Number of rookies received a rating of 2 or worse = Rating of 2 +

                                                                                                 Rating of 1

     So, by seeing the frequency distribution 10 rookies received a rating of

      2 and 4 rookies received a rating of 1.

Hence, Rookies receiving a rating of 2 or worse = 10 + 4 = 14 rookies.

(b-1) Relative Frequency is calculated as = Each frequency value /

                                                                         Total Frequency

   Rating        Frequency(f)        Relative Frequency

     1                       4                          4 / 50 = 0.08

     2                     10                         10 / 50 = 0.2

     3                     14                          14 / 50 = 0.28

     4                     18                          18 / 50 = 0.36

     5                   <u>   4    </u>                       4 / 50  = 0.08

                     \sum f<u>= 50 </u>                

Hence, this is the required relative frequency distribution.

(b-2) To calculate what percent received a rating of 5 is given by equation :

            <em>  x% of 50 = 4 </em> {Here 4 because 4 rookies received rating of 5}

         x = \frac{4*100}{50} = 8% .

Therefore, 8% of total rookies received a rating of 5.

5 0
4 years ago
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