Hello from MrBillDoesMath!
Answer:
Choice D, 81
Discussion:
By log 3x = 4 I presume that "3" is the base not a multiplier of x. Assuming it is the base, then the equation is equivalent to
x = 3^4
= 81
This is Choice D.
Thank you,
MrB
Answer: Your answer is C.
Step-by-step explanation: I'm taking this test rn and it's C. K12 anyone?
Answer:
x = 19
z = 64
Step-by-step explanation:
Angles (11x - 93)° and 116° are vertical angles, so their measures are equal.
11x - 93 = 116
11x = 209
x = 19
Angles z° and 116° are a linear pair, so they are supplementary, and their measures have a sum of 180°
z + 116 = 180
z = 64
Answer:
(0, -3)
Step-by-step explanation:
y = 3x - 3
y = x - 3
In the solution to the system of equations, y is the same number for both of those functions. So 3x - 3 = x - 3.
Then solve for x:
3x - 3 = x - 3
Add 3 to both sides
3x = x
Subtract x from both sides
2x = 0
Divide both sides by 2
x = 0
Now that you have x, substitute it in one of the equations:
y = 3x - 3
y = 3(0) - 3
y = -3
x is 0 and y is -3, so the solution to the equation is (0, -3)
Answer:
11 pounds
Step-by-step explanation:
Let x pounds of chocolate costing $16.50 per pound mixed with 13 pound of trail mix costing $2.90 per pound to create a mixture worth $9.13,
Thus, the total quantity of trail mix = ( x + 13 ) pounds,
Also, the cost price of x pounds of chocolate + cost price of 13 pounds of trail mix = cost price of resultant trail mix
∵ total cost = number of pounds × price per pound
⇒ 16.50x + 2.90(13) = 9.13(x+13)
⇒ 16.50x + 37.7 = 9.13x + 118.69
⇒ 16.50x - 9.13x = 118.69 - 37.7
⇒ 7.37x = 80.99
⇒ x = 10.989145 ≈ 11
Hence, 11 pounds of chocolate should be mix.
