9.8 The reasoning for this is simple. We have 235.2 ounces. We also have 24 boxes of crayons. We are going to put it in this order: ounces divided by the box of crayons. That is 235.2/24 =9.8. So, therefore there are 9.8 ounces of crayons in each box.
Answer:
0 ≠ 110
No solution
Step-by-step explanation:
Solve by Addition/Elimination
12y = 17 − 9x and −4y − 3x = 31
Reorder 17 and −9x. 12y = −9x + 17
−4y − 3x = 31
Add 9x to both sides of the equation.
12y + 9x = 17
−4y − 3x = 31
Reorder the polynomial.
9x + 12y = 17
−4y − 3x = 31
Reorder the polynomial.
9x + 12y = 17
−3x − 4y = 31 9x + 12y = 17
Multiply each equation by the value that makes the coefficients of x opposite.
9x + 12y = 17
(3) ⋅ (−3x − 4y) = (3) (31)
Simplify (3) ⋅ (−3x − 4y).
Apply the distributive property.
9x + 12y = 17
3 (−3x) + 3 (−4y) = (3) (31)
Multiply −3 by 3. 9x + 12y = 17
−9x + 3 (−4y) = (3) (31)
Multiply −4 by 3. 9x + 12y = 17
−9x − 12y = (3) (31)
Multiply 3 by 31. 9x + 12y = 17
−9x − 12y = 93
Add the two equations together to eliminate x from the system.
9x+12y=17
+−9x−12y=93
0=110
Since 0 ≠ 110, there are no solutions. No solution
Answer:
n = 4 or n = -4
Step-by-step explanation:
We have: 4n² - 3 = 61.
Add 3 to both sides:
4n² = 61 + 3 = 64
Divide both sides by 4:
n² = 64/4 = 16
Square root both sides:
n = +/- √16
n = 4 or n = -4
The answers are 4 and -4.
Start with
Multiply both sides by 5:
