a) -3g +35
b)-12m+6
The solution is on the picture
Answer:
22/15, or Liters of Water
Step-by-step explanation:
First find a Common Denominator, which in this case would be 15. But, you have to make the numerators numbers that can be with the new common denominator, so multiply 2*5, and that's 10, and 4*3, which is 12. Since the problem is asking you to find out how much water she drank in total, you can just add the numbers up since the denominators the same. So with the new numbers 10/15, add that with 12/15, and you get 22/15. At this point you can either keep it as 22/15, or you can make it into a mixed number of 1 7/15 as your final answer.
Answer:
12. C
13. B
14. B
Step-by-step explanation:
12 - length of ramp = hypotenuse
given the angle 20, we have hypotenuse and opposite, so we use sin
sin 20* = 10/r
13- tan 46 = x/11, x = 11(tan46) = 11.4
14- cos 46 = 12/x = 17.3
Answer: 44 years
Step-by-step explanation:
Let Brita's age be x and the daughter's age be y , then from the first statement :
From the second statement :
solving the resulting linear equation , add the two equations , we have
substitute 74 into equation 1 to find the value of y
Therefore :
Eva = 44 years
Answer:
The solutions are x = 1 and x = -5
Step-by-step explanation:
Hi there!
First, let´s write the equation:
log(3x) + log(x + 4) = log(15)
Apply logarithm property: log(3x) = log(3) + log(x)
log(3) + log(x) + log(x + 4) = log(15)
Substract log(3) from both sides of the equation
log(x) + log(x+4) = log(15) - log(3)
Apply logarithm property: log(15) - log(3) = log(15/3) = log(5)
log(x) + log(x + 4) = log(5)
Apply logarithm property: log(x) + log(x+4) = log(x (x+4)) = log(x² + 4x)
log(x² + 4x) = log(5)
Apply logarithm equality rule: if log(x² + 4x) = log(5), then x² + 4x = 5
x² + 4x = 5
Substract 5 from both sides
x² + 4x - 5 = 0
Using the quadratic formula (a = 1, b = 4, c = -5)
x = 1 and x = -5
The solutions are x = 1 and x = -5
Have a nice day!
