To solve this problem, we need to get the variable x alone on one side of the equation. To begin, we are going to use the distributive property twice on the left side of the equation to expand the multiplication and get rid of the parentheses.
4(x-1) - 2(3x + 5) = -3x -1
4x - 4 -6x - 10 = -3x - 1
Next, we should combine like terms on the left side of the equation. This means we should add/subtract the variable terms and the constant terms in order to simplify this equation further.
-2x - 14 = -3x - 1
Then, we have to add 3x to both sides of the equation to get the variable terms all on the left side of the equation.
x - 14 = -1
After that, we should add 14 to both sides of the equation to get the variable x alone one the left side of the equation.
x = 13
Therefore, the answer is 13.
Hope this helps!
Answer:
371.2
Step-by-step explanation:
Answer:
3/52
Step-by-step explanation:
The picture card are j,q k and there are 4 of each so there are 12 picture cards
P( picture card) = picture card/ total
12/52 = 3/13
Then replace the card
There are 13 clubs
P( club) = club/ total
13/52 = 1/4
P(picture,replace,club) = 3/13*1/4 = 3/52
Answer:
Step-by-step explanation:
This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:
and
so
x = 5727.25 feet, the third choice down
So 3 and 1/4 is equal to 4/4+4/4+4/4+1/4=13/4
so she put in 3 and 1/9 or 9/9+9/9+9/9+1/9 or 28/9
28/9+x=13/4
13/4-28/9=x
so we convert so that the bottom numbers are the same
a short cut is 3 and 1/4+x=3 and 1/9
3 1/9+x=3 1/4
subtract 3 from both sides
1/9+x=1/4
subtract 1/4 from both sides
x=1/4-1/9
convert bottom number to same thing
1/9=4/36
1/4=9/36
x=9/36-4/36
x=5/36
5/36 cups
