On a horizontal number line, -6 is located to the (left) of -4. So, -6 is (less than) 4.
Answer: your answer is 32/51
Step-by-step explanation:
Since, she has already been working for two hours (120 minutes) and has budgeted only 6 hours (360 minutes) to create the centerpieces.
Since, each centerpiece takes 15 minutes to make, the time it takes her to make x centerpieces is given by 15x.
Therefore, the correct inequality representing the situation is given by 120 + 15x <span>≤ 360.</span>
The answer is x=2
show you step-by-step
step 1:simplify both sides of the equation.
(4)(x)+(4)(2)=6x+4
4x+8=6x+4
step 2:subtract 6x from both sides.
4x+8-6x=6x+4-6x
-2x+8=4
step 3: subtract 8 from both sides
-2x+8-8=4-8
-2x=-4
step 4: divide both sides by -2
-2x/-2= -4/-2
x=2
that helps you
Answer:
He stepped back 59.71 feet.
Step-by-step explanation:
Start by making 2 triangles. One has 68 degrees as the acute angle at the base of the triangle and the other has 41 degrees as the acute angle at the base of the triangle. The side opposite of said angle on both triangles will be 80, the height of the tree. You're solving for the bottom (horizontal) side for both triangles.
For the triangle with an acute base angle of 68, the formula to solve for the horizontal side is tan(68) = 80/x.
Get x by itself to get 80/tan(68) = x
x = 32.32.
For the next triangle, the equation is the same but the angle is changed to 41.
tan(41) = 80/x
80/tan(41) = x
x = 92.03
Finally, subtract the smaller distance from the larger:
92.03 - 32.32 = 59.71 steps.
