Answer:
1 pear = $0.45
1 mango = 1.5
Step-by-step explanation:
8 pears + 5 mangoes = $11.10 ➡ 8p + 5m = 11.10
5 pears + 4 mangoes = $8.25 ➡ 5p + 4m = 8.25
multiply first equation by -4 and second one by 5
-4 ×(8p+5m) = 11.10 ➡ -32p - 20m = 44.4
5 ×(5p+4m) = 8.25 ➡ 25p + 20m = 41.25
add both equations up
-32p - 20m + 25p + 20m = 44.4 + 41.25
-7p = 3.15 ➡ p = $0.45
use this value to find the price of mango
5×0.45 + 4×m = 8.25 ➡ 2.25 + 4m = 8.25 ➡ 4m = 6 ➡ m = $1.5
Answer:
<u>The regular polygon has 13 sides</u>
Correct statement and question:
If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does it have?
Source:
1,920° is not a valid value for a regular polygon. It should be either 1,980° or 1,800° (it has to be a multiple of 180). We pick 1,980° to answer the question.
Step-by-step explanation:
Let's recall that the formula of the sum of the interior angles of any polygon is:
Sum of Interior Angles = (n-2) * 180°, where n is the number of sides of the polygon.
Therefore, replacing with the value we know:
1,980 = (n-2) * 180
n - 2 = 1,980/180
n - 2 = 11
<u>n = 13</u>
I added 1/3 +1/2 for johns dinner. So I added the two denominators. And I got 1/6 of what John ate for his dinner.
Answer:
151200 ways
Step-by-step explanation:
Well assuming the numbers go from 0 to 9
we have
_ _ _ _ _ _ six spaces
in the first one can go one of the ten so the first one has 10 options
10*_ _ _ _ _
the second one has 9 options because we have used one alredy
and so on
10*9*8*7*6*5=151200