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Solnce55 [7]
3 years ago
11

Micha washed a car in 20 minutes. At this rate, how many hours would it take to wash 9 cars?

Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer:

3 hours

Step-by-step explanation:

he washed one car in 20 minutes so 9 cars will be 20 x 9=180minutes which is 3 hours

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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
lubasha [3.4K]

Answer:

The answer is option C.

<h3>-6, -5 2/5, -4 1/5</h3>

Step-by-step explanation:

The arithmetic sequence is given by

A(n) =  - 6 + (n - 1)( \frac{1}{5} )

where n is the number of terms

<u>For</u><u> </u><u>the</u><u> first</u><u> </u><u>term</u>

n = 1

So we have

A(1) =  - 6 + (1 - 1)( \frac{1}{5} )

=  - 6 + (0)( \frac{1}{5} )

=  - 6

<u>For</u><u> </u><u>the</u><u> </u><u>fou</u><u>rth</u><u> term</u>

n = 4

A(4) =  - 6 + (4 - 1)( \frac{1}{5} )

=  - 6 + (3)( \frac{1}{5} )

=  - 5 \frac{2}{5}

<u>For</u><u> </u><u>the</u><u> </u><u>tenth</u><u> </u><u>term</u>

n = 10

A(10) =  - 6 + (10 - 1)( \frac{1}{5} )

=  - 6 + (9)( \frac{1}{5} )

=  - 4 \frac{1}{5}

Hope this helps you

4 0
3 years ago
2. The 7th term of an A.P is 27 and the 12th term is 47, what is the sequence?
Vera_Pavlovna [14]

Answer:

<h2>3 + 4(n - 1)</h2>

Step-by-step explanation:

let r be the common differenc of the sequence

Term 12 - Term 7 = (12 - 7)r

then

47 - 27 = 5r

then

20 = 5r

then

r = 4

term 7 = term 1 + (7 - 1)r

then

27 = term 1 + 6r = term 1 + 24

then

Term1 = 27 - 24 = 3

<em><u>therefore </u></em>

the standard explicit formula of the sequence is :

term 1 + (n - 1)r = 3 + 4(n - 1)

8 0
3 years ago
A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght
never [62]

Answer: \frac{17}{2}m^2+m-5

Step-by-step explanation:

By definition, the perimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

If you solve for "l":

P-2w=2l\\\\l=\frac{P-2w}{2}

In this case, you know that the following expression represents  the perimeter of the rectangle:

19m^2+2m-10

And the width of that rectanle is represented wih this expression:

m^2

Therefore, based on the explained above, you can conclude that the lenght  of that rectangle is given  by:

\frac{19m^2+2m-10-2(m^2)}{2}

Finally, simplifying the expression, you get:

=\frac{17m^2+2m-10}{2}=\frac{17}{2}m^2+m-5

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3 years ago
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