Answer:
Step-by-step explanation: (Equation 2) = 12(-12+9y/4) - 10y = -8
-144+108y/4 - 10y = -8
-144 + 108y - 40y/4 = -8
-144 + 108y - 40y = -32
108y - 40y = -32+144
68y = 112
Y= 1.64
2-4x+9y=14
12x-10y= -8
2-14+9y = 4x
-12 + 9y = 4x ( equation 3)
(Put in equation 2)
<u>Answer:</u>
-10,1,19
<u>Step-by-step explanation:</u>
<u></u>
x+y+z = 10 (Equation 1)
2y-x= 12 (Equation 2)
x-y+2z = 7 (Equation 3)
(Equation 2): -x = -2y+12
x = 2y-12 (Equation 4)
(Equation 1) - (Equation 3): 2y-z = 3
-z = -2y+3
z = 2y-3 (Equation 5)
Substitute (4) and (5) into (1)
x+y+z = 10
(2y-12)+y+(2y-3) = 10
5y-15 = 10
5y = 5
y=1
Substitute y=1 into (2)
2y-x= 12
2(1)-x= 12
2-x= 12
-x= 12-2
-x= 10
x= -10
Substitute y=1 and x=-10 into (1)
x+y+z = 10
-10+1+z = 10
z-9 = 10
z = 10+9
z = 19
Order: x = -10, y = 1, and z = 19
Answer:
D) 672 in³
Step-by-step explanation:
The volume of a rectangular prism is found by the <em>product of its length, width, and height</em>, so the equation is<em> V = l * w * h</em>.
Plug in: <em>V = 12 * 7 * 8</em>
Multiply: V = 672 in³
80,000going up by 10% you just add the 10% on
Answer:
8^4
Step-by-step explanation:
Here we have:
8^6 · 8³
-------------
8^5
That's multiplication in the numerator. The appropriate rule of exponents states that:
8^a·8^b = 8^(a+b), so the numerator is equivalent to 8^(6 + 3) = 8^9.
Now we have
8^9
------
8^5
and the appropriate rule for division here is
8^a / 8^b = 8^(a - b)
So our:
8^9
--------- 8^(9-5) = 8^4
8^5
