Answer:
x = 6.39, y = 1.69 is the solution of the given equation system.
Step-by-step explanation:
Here, the given set of equation is:
5 x = 15 + 10 y ⇒ 5 x - 10 y = 15 ...... (1)
3 x +7 y = 31 ............. (2)
Now, the coefficient of x in first equation id 5 and in second is 3.
So, MULTIPLY (1) with 3 and (2) with -5 , we get:
15 x - 30 y = 45
-15 x- 35 y = -155
<u>ADD BOTH EQUATIONS ,</u> we get:
15 x - 30 y -15 x- 35 y = 45 - 155
or, -65 y = -110
or, y = 110/65 = 1.69
Put y = 1.69 in 3 x +7 y = 31 , we get:
3(x) + 7 (1.69) =31
⇒ 3 x = 19.17 or x = 6.39
Hence, x = 6.39, y = 1.69 is the solution of the given equation system
Answer:
C
Step-by-step explanation:
you need to find how many cups of water were used in the game:
512-384=128
and then you can begin to calculate the number after that:
128/16=8(gallons)
hope it'll help! have a good day!
Answer:
$69
Step-by-step explanation:
$115 x 0.4 = $46 discount
$115 - 46 = $69
Answer:
35 ml/hr
Step-by-step explanation:
Convert lbs to kg
205 ÷ 2.2 = 93.18 = 93.2 kg
Calculate the minute rate
93.2 kg x 5 mcg/kg/min = 466 mcg/min
Calculate hourly rate
466 mcg/min x 60 mins/hr = 27,960 mcg/hr
Drug is expressed in mg, so convert mcg to mg
27,960 mcg = 27.96 mg
Answer:
P = 15.71 cm
Step-by-step explanation:
Given that,
The diameter of the semicircle, d = 10 cm
Radius, r = 5 cm
The perimeter of the semicircle is given by :
So, the perimeter of the semicircle is 15.71 cm.
