2 years ago

Leah drives 45 miles per hour for 2 hours? Then 32 hour per hour for 45 minutes, what is her average speed for the whole trip?

Mathematics

1 answer:

Helen [10]2 years ago

5 0

The answer is about 32.6

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Can someone help me with this?

Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

$Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\$

So,

$\frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}$

Therefore, number of terms is 6

6 is the right answer.

3 0

2 years ago

Factorize 16x - 6 and show correct and full working.

Vlad1618 [11]

\left[x \right] = \left[ \frac{3}{8}\right][x]=[83] totally answer

8 0

2 years ago

Which doesnt belong, and why? 9, 16, 25, 43

Tomtit [17]

Answer:

Step-by-step explanation:

The first three numbers are perfect squares:

9 = 3²

16 = 4²

25 = 5²

43 is not a perfect square.

3 0

2 years ago

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-4 > x - 3 find x in the equation

dimulka [17.4K]

Answer:

X= -1

Step-by-step explanation:

8 0

2 years ago

Solve for x. −4≤11−3x x≥5 x≥−5 x≤5 x≤−5

Fofino [41]

Isolate the x. Do the opposite of PEMDAS.

−4 ≤ 11 −3x

First, subtract 11 from both sides

-4 (-11) ≤ 11 (-11) - 3x

-4 (-11) ≤ - 3x

-15 ≤ - 3x

Isolate the x. Divide -3 from both sides. Remember to flip the sign.

(-15)/-3 ≤ (-3x)/-3

-15/-3 ≤ x

5 ≥ x

x≤5 is your answer

hope this helps

5 0

2 years ago

Read 2 more answers