Answer:
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
And now we can divide both sides by 5 and we got:
So then the number of hours spent to decorate the house are 25
Step-by-step explanation:
Based on the information given we can model this function with this formula:
Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
And now we can divide both sides by 5 and we got:
So then the number of hours spent to decorate the house are 25
This is the correct answer
You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
Answer:
Step-by-step explanation:
- A) x⁶ + 27y⁹ = (x²)³ + (3y³)³ - sum of cubes
- B) 3x⁹ - 64y³ - the first term is not a cube
- C) 27x¹⁵ - 9y³ - the second term is not a cube
- D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes
Correct option is the last one
Answer:
One
Step-by-step explanation:
Through any 2 points, there is exactly one line.
