<h3>
Answer: 324 grams</h3>
Work Shown:
(540 grams sugar)/(5 liter soda) = (x grams sugar)/(3 liter soda)
540/5 = x/3
540*3 = 5*x
1620 = 5x
5x = 1620
x = 1620/5
x = 324
3 liters of soda has 324 grams of sugar
28: x+y = 90
we substitute y with the given function 4x - 10
x + 4x - 10 = 905x -10 = 90 5x = 100= 100 ÷ 5x = 20, now you can substitute x in 4x - 10 =4(20) - 1080 - 10 = 70, which makes sense as 20º +70º = 90ºyour 2 angles are 20º and 70º
29: x + y = 90 x = 2y
Same thing we did above, substitute the given variable into the given equation
so, 2y + y = 90 = 3y=90, divide the 3 to both sides, y = 30, now substitue the y into your given x variable.x = 2(30)x= 60this makes sense as 60º + 30º do equal 90ºyour two angles are 60º and 30º30: x + y = 90 y = 2 (x - 15)ill do this one without explanation as you know what I am doing from the above examples. here is the work:
x + 2(x-15)=90 (simplify)
x+2x-30 = 903x-30=903x = 120x = 40now input to other equation2(40 - 15) = y (USE PEMDAS)2(25) = yy = 50
makes sense because 50º + 40º = 90ºyour two angles are 50º and 40º
Answer:
100, 102, 104
Step-by-step explanation:
Hi there!
Let <em>x</em> be equal to the first number in the set of the three consecutive even numbers.
We're given that the sum of three consecutive even numbers is 306.
Because <em>x</em> is the first number, the next would be <em>x</em>+2, and then <em>x</em>+4. These are our even numbers.
We can now set up an equation:
Combine like terms:
Therefore, the first number in the set of 3 numbers is 100.
The next two even numbers after 100 is 102 and 104.
Therefore, the three numbers are 100, 102 and 104.
I hope this helps!
