Answer:
x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5
Step-by-step explanation by completing the square:
Solve for x over the real numbers:
4 (5 x + 9)^2 - 33 = -21
Add 33 to both sides:
4 (5 x + 9)^2 = 12
Divide both sides by 4:
(5 x + 9)^2 = 3
Take the square root of both sides:
5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)
Subtract 9 from both sides:
5 x = sqrt(3) - 9 or 5 x + 9 = -sqrt(3)
Divide both sides by 5:
x = sqrt(3)/5 - 9/5 or 5 x + 9 = -sqrt(3)
Subtract 9 from both sides:
x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)
Divide both sides by 5:
Answer: x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5
Answer:
1200 children and 1500 Adults
Step-by-step explanation:
Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as
x+y=2700 (Equation 1)
and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as
1.50x+4y=7800 (Equation 2)
Extracting the value of y from equation 1
Y=2700-x (Equation 3)
Putting the value of y from equation 3 into equation 2
1.50x+4(2700-x)=7800
1.50x+10800-4x=7800
1.50x-4x=7800-10800
-2.5x=-3000
Cancellation of negative signs on both sides
x=3000/2.5
x=1200
Putting the value of x in equation 3 to get the value of y
y=2700-1200
y=1500
Yes, since 3 times 1.5 is 4 and 2 times 1.5 is 3.
In first trails there are 3 cups of peanuts mixed with 2 cups of raisins.
Therefore ratio of peanut to raisins is
For second trail 4.5 cup of peanuts mixed with 3 cups of raisins
Answer:
2(4a - 4b) + 4(3a + 2b) = 20a
Step-by-step explanation:
2(4a - 4b) + 4(3a + 2b)
8a - 8b + 12a + 8b
8a + 12b - 8b + 8b
20a+ 0 = 20a
Thus, 2(4a - 4b) + 4(3a + 2b) = 20a
<u>-TheUnknownScientist</u>
