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WITCHER [35]
3 years ago
14

A car travels at a steady speed and takes 5 hours to travel 510 miles. Work out the average speed?

Mathematics
2 answers:
notsponge [240]3 years ago
7 0
Average speed= total distance travelled/ total time taken
a. s. = 510/ 5
average speed= 102 miles/ hour
Westkost [7]3 years ago
5 0

Answer:

102 miles per hour.

Step-by-step explanation:

We have been given that a car travels at a steady speed and takes 5 hours to travel 510 miles.

To find the average speed of car, we will divide total distance traveled by total time taken.

\text{Average speed of car}=\frac{510\text{ Miles}}{5\text{ Hour}}

\text{Average speed of car}=\frac{102\text{ Miles}}{\text{ Hour}}

Therefore, the average speed of car is 102 miles per hour.

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John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
lapo4ka [179]

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

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So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

8 0
3 years ago
For each sequence write an explicit formula 96,48,24,12,6
STALIN [3.7K]
a_1=96;\ a_2=48;\ a_3=24;\ a_4=12;\ a_5=6\\\\a_1=a_2:2\to96:2=48\\a_2=a_3:2\to48:2=24\\a_3=a_2:2\to24:2=12\\a_4=a_3:2\to12:2=6\\\\therefore\\\\a_n=96:2^{n-1}=\frac {96}{2^{n-1}}\\\\check:\\a_1=\frac{96}{2^{1-1}}=\frac{96}{1^0}=96\\a_2=\frac{96}{2^{2-1}}=\frac{96}{2^1}=\frac{96}{2}=48\\a_3=\frac{96}{2^{3-1}}=\frac{96}{2^2}=\frac{96}{4}=24\\\vdots
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3 years ago
Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic division.
WITCHER [35]
Write the coeeficientes of the polynomial in order:

  | 1   - 5   6   - 30
  |
  |
  |
------------------------

After some trials you probe with 5

   | 1   - 5       6     - 30
   |
   |
5 |        5      0       30
-----------------------------
     1     0      6        0 <---- residue

Given that the residue is 0, 5 is a root.

The quotient is x^2 + 6 = 0, which does not have a real root.

Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.
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3 years ago
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