The first two rows of coefficients are identical, so by inspection, the determinant is 0.
Answer:
8
Step-by-step explanation:
Given the equation 1/4 (16 + 12x) = 28, to solve this first we open the bracket using the distributive property. According to this property, given A, B and C then:
A(B+C ) = AB+AC
Step 1:
1/4 (16 + 12x) = 28
= 1/4(16)+1/4(12x) = 28
= 4+3x = 28
Step 2:
We move 4 to the other side to have:
3x = 28-4
3x = 24
Step 3:
Divide both sides by 3 to have,:
3x/3 = 24/3
x = 8
The answer is 8
0.08(y + -1) + 0.12y = 0.14 + -0.05(10)
Reorder the terms:
0.08(-1 + y) + 0.12y = 0.14 + -0.05(10)
(-1 * 0.08 + y * 0.08) + 0.12y = 0.14 + -0.05(10)
(-0.08 + 0.08y) + 0.12y = 0.14 + -0.05(10)
Combine like terms: 0.08y + 0.12y = 0.2y
-0.08 + 0.2y = 0.14 + -0.05(10)
Multiply -0.05 * 10
-0.08 + 0.2y = 0.14 + -0.5
Combine like terms: 0.14 + -0.5 = -0.36
-0.08 + 0.2y = -0.36
Solving
-0.08 + 0.2y = -0.36
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '0.08' to each side of the equation.
-0.08 + 0.08 + 0.2y = -0.36 + 0.08
Combine like terms: -0.08 + 0.08 = 0.00
0.00 + 0.2y = -0.36 + 0.08
0.2y = -0.36 + 0.08
Combine like terms: -0.36 + 0.08 = -0.28
0.2y = -0.28
Divide each side by '0.2'.
y = -1.4
Simplifying
y = -1.4
Answer: a) 278382 oz
b) 43 oz
c) 64.1 oz
Step-by-step explanation:
a) 8 T. 1,398 lb. 14 oz. × 6
First we need to change it in 'oz'.
As we know that

so, it becomes,

8 T. 1,398 lb. 14 oz. × 6 becomes

b) 349 lb. 6 oz. ÷ 130
It becomes,

c) 6 T. 294 lb. ÷ 3,071
First it becomes,

At last it becomes,

Hence, a) 278382 oz
b) 43 oz
c) 64.1 oz