Answer:
x = -5/2
Step-by-step explanation:
3 ^ ( 4x-5) = (1/27) ^( 2x+10)
Rewriting 1/27 as 3^-3
3 ^ ( 4x-5) = (3^-3) ^( 2x+10)
We know that a^b^x = a^(b*c)
3 ^ ( 4x-5) = (3) ^(-3*( 2x+10))
3 ^ ( 4x-5) = (3) ^( -6x-30)
The bases are the same so the exponents are the same
4x-5 = -6x-30
Add 6x to each side
10x -5 = -30
Add 5 to each side
10x -5+5 = -30+5
10x = -25
Divide each side by 10
10x/10 = -25/10
x = -5/2
Answer:
21 pencils for Nick and 63 pencils for Lance
Step-by-step explanation:
- Lance is said to have 3 times the pencils Nick has.
- Let's keep the number of pencils Nick has as x.
- If Nick has x pencils that means Lance has 3x pencils.
- The total number of pencils present is 84.
Now let's make an equation out of the information above:
3x + x = 84
Now solve for x.
3x + x = 84
4x = 84
x = 84/4
x = 21
So Nick has 21 pencils
Now for Lance:
3x
3 * (21) = 63
So Lance has 63 pencils
63 + 21 = 84 pencils
Solution
2014 - 1969 = 45
45 x 0.2633 = 11.8485 = 12
Final Answer:
C) 26.33%
Answer:
30
Step-by-step explanation:
so you have multiply 3x7. then you have to add the 9 at the end and there is your answer
Answer:
The equation of the line would be y = -4/3x - 15
Step-by-step explanation:
In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 3/4, we know the new line will have a slope of -4/3. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 1 = -4/3(x + 12)
y - 1 = -4/3x - 16
y = -4/3x - 15
