<u>Answer:</u> n=31
<u>Reasoning:</u> -8+n=23
First add 8 to both sides (-8+8 and 23+8)
n=31
Answer:
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Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Solve for x:
-8 = (-3 x)/4 - 2
Put each term in (-3 x)/4 - 2 over the common denominator 4: (-3 x)/4 - 2 = (-8)/4 - (3 x)/4:
-8 = (-8)/4 - (3 x)/4
(-8)/4 - (3 x)/4 = (-3 x - 8)/4:
-8 = (-3 x - 8)/4
-8 = (-3 x - 8)/4 is equivalent to (-3 x - 8)/4 = -8:
(-3 x - 8)/4 = -8
Multiply both sides of (-3 x - 8)/4 = -8 by 4:
(4 (-3 x - 8))/4 = -8×4
(4 (-3 x - 8))/4 = 4/4×(-3 x - 8) = -3 x - 8:
-3 x - 8 = -8×4
4 (-8) = -32:
-3 x - 8 = -32
Add 8 to both sides:
(8 - 8) - 3 x = 8 - 32
8 - 8 = 0:
-3 x = 8 - 32
8 - 32 = -24:
-3 x = -24
Divide both sides of -3 x = -24 by -3:
(-3 x)/(-3) = (-24)/(-3)
(-3)/(-3) = 1:
x = (-24)/(-3)
The gcd of -24 and -3 is -3, so (-24)/(-3) = (-3×8)/(-3×1) = (-3)/(-3)×8 = 8:
Answer: x = 8
small frames ($8): s
large frames ($15): L
Cost: 8s + 15L = 239 ⇒ 1(8s + 15L = 239) ⇒ 8s + 15L = 239
Quantity: s + L = 22 ⇒ -8( s + L = 22) ⇒ <u> -8s -8 L = -176 </u>
7L = 63
L = 9
Quantity: s + L = 22 ⇒ s + (9) = 22 ⇒ s = 13
Answer: 13 small frames, 9 Large frames
Answer:
So far Gerri is 1/3 complete and needs to be 1/2 complete by Friday. In order to find how much needs finished by Friday, we subtract the fractions.
1/2 - 1/3
1/2 + (-1/3)
3/6 + (-2/6)
(3+(-2))/6
1/6
Hope this helps