Answer: X=-7
Step-by-step explanation:
Using PEMDAS;
Step 1: Distribute the "3" in the part of the equation "3(x-2)"
3x - 6
Step 2: Consider the equation as a whole with the newly part of the equation from step 1, as it is a part of the equation
Therefore, re-written as,
3x - 6 + 48 = -3x
Step 3: Evaluate the re-written equation
Using basic mathematics skills, we can evaluate the following,
3x - 6 + 48 = -3x ➡ -6 + 48 = -6x ➡ 42 = -6x ➡ -7 = x
As shown, the answer is x=-7.
Answer:
1 cup of sugar ..............
Answer:
<h3> 26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid</h3>
Step-by-step explanation:
Concentration Amount of Amount
of Solution Solution (L) of Acid
15% x 0.15x
33% y 0.33y
21% 40 0.21•40
x + y = 40 ⇒ x = 40 - y
0.15x + 0.33y = 0.21•40
0.15(40 - y) + 0.33y = 0.21•40
6 - 0.15y + 0.33y = 8.4
0.18y = 2.4
y = 13¹/₃
x = 40 - 13¹/₃ = 26²/₃
Answer:
28 degrees
Step-by-step explanation:
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.The corresponding angles are the ones at the same location at each intersection.
In the figure ABD and EDF are corresponding angles. So they are equal
So equation the angle ABD and EDF , we get
(3x+4) = (7x-20)
Group the like terms,
3x-7x = -20-4
-4x = -24
x = 6
Thus BCD will be,
(6x - 8)
=>(6(6)-8)
=>(36-8)
=> 28 degrees
If 5 x 6 = 30 you can figure out 8 x 6 by adding 6 three times to 30!
30 + 6 = 36
36 + 6 = 42
42 + 6 = 48 <-- the answer is 48!
