What is the value of y in the solution to the system of equations? One-thirdx + One-fourthy = 1 2x – 3y = –30 –8 –3 3 8
2 answers:
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<h3>Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
Answer:
1. $37.70 of interest
2. Jeans Junction
Step-by-step explanation:
1. For simple interest, we use the equation where
- P is the principle or starting value
- A is the total amount after interest and a period of time
- r is the rate at which interest gathers as a decimal
- t the time in years.
For this problem, we know P=$580, r=6.5%=0.065, t=1 year. We substitute into the formula and simplify to find the total amount A.
Using this total amount we can subtract the original principle to find the amount of interest.
617.7-580=$37.70 of interest
2. Jeans Plus sells jeans for $25 a pair At regular price, if I bought 3 I would spend 3j=s(25)=$75 and then received $10 off. SO I would spend $65 total.
Jeans Junction also sells jeans for $25 and will give me 15% off. This means I would pay 85% or 0.85 of the price (100-15=85). So if I buy 3, I would spend 3j=3(250=75. Then I can multiply 75(0.85)=63.75. This is the better deal because I spend less.