Answer: ∠MON = 15°
Step-by-step explanation:
∠LON = ∠LOM + ∠MON
(9x + 44) + (6x+3) = 77
9x + 6x + 44 + 3 = 77
15x + 47 = 77
15x = 30
x = 2
∠MON = 6(2) + 3 = 15
If the price of the yogurt is directly proportional to the weight of the purchase, then it can be expressed as:
Price of yogurt = weight of purchase
With the given above, it can be further expressed as:
$5.04 = 12 oz
These can be expressed in ratio form, which is:
5.04/12
Thus, if the cup weighs 8 oz and we don't know how much it costs, then the ratio should be:
n = 8 oz, or in fractions:
n/8
After this, simply equate the two and cross multiply.
5.04 / 12 = n/8
5.04(8) = 12n
40.32 = 12n
Then solve for n:
40.32 /12 = 12n/12
n = 3.36.
Thus, the 8 oz. cup of yogurt costs $3.36.
Answer:
17) 750/9 and 18) 364
Step-by-step explanation:
17. Summation of 75*(0.1)^i from i=0 to infinity, that is equal to 75*(Summation of (0.1)^i). Summation of (0.1)^I is a geometric series with a sum of 1/(0.9)=10/9. Hence the series have a sum equal to 75*(10/9)=750/9
18) It's a series with sum=1+3+9+27+81+243=364
Answer: Yes
Step-by-step explanation: The answer of 1400 is correct.
What I did is I found the area of the figure assuming it was a rectangle, then I subtracted the corners that were removed.
1800 - 150 - 100 - 150 = 1400
