Answer:
Equation: y = 15.5x
Step-by-step explanation:
Given that:
Time earns $31 for 2 hours
$46.5 for 3 hours
$62 for 4 hours
We will find unit rate first.
Unit rate = = $15.5 per hour
Now,
Let,
x be the number of hours
y be the total money earned by Tim
Total earning = Per hour rate * Number of hours
y = 15.5x
Hence,
Equation: y = 15.5x
Answer:
-36x z^2 ( 10 y^2 z^2) ^ 1/3
Step-by-step explanation:
16. -9 ( 640 x^3 y^2 z^8) ^ 1/3
^1/3 is the cubed root
First I will separate
(ab)^y = a^y * b^y
-9 ( 640 ) ^ 1/3 x^3 ^ 1/3 y^2 ^ 1/3 z^8 ^ 1/3
Then we know a^b^c = a^(b*c)
-9 (64) ^ 1/3 (10)^ 1/3 x^(3 * 1/3) y^(2 *1/3) z^(8* 1/3)
Simplify
-9 (64) ^ 1/3 (10)^ 1/3 x^(1) y^(2 /3) z^(8/3)
-9* 4 (10)^ 1/3 x y^(2 /3) z^(8/3)
When the exponent is greater than 1, we can take out the whole number
z^ 8/3 = x^2 * x^2/3 for example
-9 *4 (10)^ 1/3 x y^(2 /3) z^2 z^(2/3)
Move everything to the left without fractional exponents
-36x z^2 ( 10 y^2 z^2) ^ 1/3
Answer:
68 cm²
Step-by-step explanation:
I don't see what you mean for each figure but here goes nothing!
We can split the figure in 2 rectangles
We find the first rectangle by doing 4 x 12 = 48 cm²
The second rectangle would be 5 x 4 = 20 cm²
Therfore we add them up into 20 + 48 = 68 cm²
Hope This Helps!
Answer:
Distance, rate and time problems are a standard application of linear equations. When solving these problems, use the relationship rate (speed or velocity) times time equals distance. For example, suppose a person were to travel 30 km/h for 4 h.
Replace the x in the expression for f(x) by the expression for g(x)
= 6 (5x - 1) + 10
= 30x - 6 + 10
= 30x + 4 Answer