Answer:
7 < x < 9
Step-by-step explanation:
x^2 – 16x + 63 < 0
this is a parabola that opens up.
The parabola will be < 0 for values between the roots.
to picture this see the graph below.
Factor
(x - 7)(x - 9) < 0
Roots
x = {7, 9}
solution
7 < x < 9
Answer:
-147
Step-by-step explanation:
Paxton received the same score on each turn in a board game. His score on each turn was −21. He had 7 turns.
basically 7 x -21
=
-147
Answer:
Step-by-step explanation:
Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.
ACD = BDC Properties of parallel lines.
DC = DC A line is equal to itself
DBA = CAB Property of parallel lines.
AC = DB Parts of Congruent triangles are congruent
3x + 15 = 7x - 9 Add 9 to both sides
3x + 15 + 9 = 7x
3x + 24 = 7x Subtract 3x from both sides.
24 = 7x - 3x
24 = 4x Divide by 4
24/4 = 4x/4
x = 6
Answer:
1/4 cup of oil for every 1 cup of water
Step-by-step explanation:
Lets take a look at the information given in the question
The recipe requires 1/8 cup of oil for every 1/2 cup of water.
We know that 1/2 + 1/2 is 1/1, or just 1 simplified
So if we are doubling the amount of water in the recipe, we have to do the same to the oil.
1/8 + 1/8 = 2/8, or 1/4 simplified
So the answer is 1/4 cup of oil to every 1 cup of water