Answer:
z = 4/3 or 1 1/3
Step-by-step explanation:
z−4/9−1/3=5/9
Change 1/3 to have a denominator of 9
1/3 *3/3 = 3/9
z−4/9−3/9=5/9
Combine like terms
z -7/9 = 5/9
Add 7/9 to each side
z-7/9+7/9 = 5/9+7/9
z = 12/9
z=4/3
or as a mixed number
z = 1 1/3
Answer:
C = $2.40
n = 6
Step-by-step explanation:
For Noelle,
Equation that represents the monthly cost 'C',
C = 0.2n + 1.20
Here, n = number of checks written in a month
For Micah,
Monthly cost for writing checks 'C' = $1.20
Number of checks 'n' = 3
Since, Cost of writing checks ∝ Number of checks written
C' ∝ n
C' = kn
k = 
Here, k = proportionality constant
For C' = 1.2 and n = 3
k = 
k = 0.4
Equation will be,
C' = 0.4n
For any month C = C'
Therefore, 0.2n + 1.20 = 0.4n
0.4n - 0.2n = 1.20
0.2n = 1.20
n = 6
Number of checks written by Noelle and Micah = 6
For n = 6,
C = 0.2(6) + 1.20
C = $2.40
Cost of writing checks = $2.40
Answer:
a = 19.6 (rounded to the nearest tenth)
Step-by-step explanation:
a^2 + b^2 = c^2
Hypotenuse - 35 m, Legs - 29 m, x
a^2 +29^2 = 35^2
a^2 + 841 = 1225
Subtract 841 from both sides
a^2 = 384
Square root both sides
√a^2 = √384
a = 19.595
The tray measures 10 * 12 * 2 = 240 cubic inches
Since a gallon is 231 cubic inches, it will just fit into the tray.
The paint will be about a tenth of an inch from the top of the tray.
Answer:
<h2>
(f - g)(x) = 3x^2 - x - 2</h2>
Step-by-step explanation:
Here we subtract g(x)=x+2 from f(x)=3x^2-4
Properly labeled, we get:
(f - g)(x) = 3x^2-4 - (x+2) (Use of parentheses is essential here.)
or
(f - g)(x) = 3x^2 - x - 2