Answer:
2x + y = 5
y = 4x – 1
Substitute (2, 1) into system, then:
2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)
y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)
=> Option 3 is correct.
Hope this helps!
:)
Answer:
28 questions
Step-by-step explanation:
In the first 10 mins she answered 2/5 of 40 which is 16. The remaining amount is 24 questions and half of that is 12. So she answered 12 questions in 15 mins. Finally you add them to get 28 questions in 25 minutes.
Answer:
Month 1 : 0.002988
Month 2: 0.00299692814
Month 3: 0.00300588297
Step-by-step explanation:
Since we're only finding the interest for the first three months, it's easy to do it by performing the simple interest formula. But first, we need divide 3 by 12, since we calculate interest using years. 3/12 = 1/4 = 0.25
The standard simple interest calculation is done by multiplying the starting amount, by the interest, by the time, then dividing by 100 to put it into a percentage.
1 month = 1/12 or approximately 0.083 of the year.
Let's say P = 1. For the first month, it will be 1 x 3.6 x 0.083 = 0.2988 / 100
The second month, (1 + 0.002988) * 3.6 * 0.083 = 0.299692814 / 100
The third month, (1.002988 + 0.00299692814) x 3.6 x 0.083 = 0.300588297/100
Given the initial amount be 1, those would be the periodic interest rate during the first three months.
Answer:
x=72
y=54
Step-by-step explanation:
1st question. y=54 because it is a bisector of the 108 degree angles. (a polygon's interior angles add to number of sides minus 2 times 180)
There are two ys, so they add up to 108. A triangle's interior angles add to 180. 180-108 =72 x=72
2nd question, x is 72 ( it says x is the same measure) so 180-72=2y.
y still equals 54
If there is a picture i could tell you
