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Talja [164]
3 years ago
9

The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By

how much would the total have been increased in six months and by how much would average have been increased per month? What's the answer??
Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0

Answer:

29.5 mm

Step-by-step explanation:

We are told that the average monthly rainfall for 6 months was 28.5 mm.

Thus, total for the 6 months = 28.5 × 6 = 171 mm

Now, we are told that it rained 1 mm extra each month.

So extra for the six months = 1 × 6 = 6mm

New total for 6 months = 171 + 6 = 177 mm

So, new average for 6 months = 177/6 = 29.5 mm

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We have equation:
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6 0
3 years ago
Find the missing term (x^12)^5 x (x^-2)^9 x what =(x^40)^5
Annette [7]

Answer:

x^{158}

Step-by-step explanation:

We are given,

(x^{12} )^{5} \times (x^{-2} )^{9} \times y = (x^{40} )^{5}.

It is required to find the value of y.

Now, on simplifying above equation, we get,

x^{60} \times x^{-18} \times y = x^{200}

i.e. x^{42} \times y = x^{200}

i.e. y = x^{200} \times x^{-42}

i.e. y = x^{158}

Hence, the missing term is x^{158}.

3 0
3 years ago
Read 2 more answers
Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is −53
Elan Coil [88]

Answer:

C) 7

===========================================

Work Shown:

Use the slope formula

m = (y2-y1)/(x2-x1)

Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r

m = (y2-y1)/(x2-x1)

-5/3 = (2-r)/(r-4)

-5(r-4) = 3(2-r) .... cross multiplying

-5r+20 = 6-3r

-5r+20+5r = 6-3r+5r .... adding 5 to both sides

20 = 6+2r

20-6 = 6+2r-6 ....subtracting 6 from both sides

14 = 2r

2r = 14

2r/2 = 14/2 .... dividing both sides by 2

r = 7

The slope of the line through (4,7) and (7,2) should be -5/3, let's check that

m = (y2-y1)/(x2-x1)

m = (2-7)/(7-4)

m = -5/3

The answer is confirmed

7 0
3 years ago
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Point P was rotated by 135 ° (the center of rotation is indicated).
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Answer:

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