Let the cost of 1 notebook be x and the cost of 1 binder be y.
4 notebooks and 3 binders would cost 23.5
Therefore, 4x + 3y = 23.5 (1)
7 notebooks and 6 binders would cost 44.5
Therefore, 7x + 6y = 44.5 (2)
Multiply the first equation by 2.
8x + 6y = 47 (3)
(3) - (2) gives
x = 2.5
Substitute the value of x in (1), we get,
4(2.5) + 3y = 23.5
10 + 3y = 23.5
3y = 23.5 - 10
3y = 13.5
y = 13.5/3
y = 4.5
Hence, cost of 5 notebooks and 3 binders is:
5x + 3y = 5(2.5) + 3(4.5)
= 12.5 + 13.5
= 26
Hence, cost of 5 notebooks and 3 binders is $26.
<span>The least common multiple would be 280 cards of each.
20 Packs of football, 8 packs of Hockey, and 7 packs of Baseball.</span>
The associated z score for filling to 10.98 oz. is -1.16.
<h3>
Z score</h3>
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where x is the raw score, μ is the mean and σ is the standard deviation.
Given that μ = 12.01, σ = 0.89, hence:
For x = 10.98:
z = (10.98 - 12.01)/0.89 = -1.16
The associated z score for filling to 10.98 oz. is -1.16.
Find out more on Z score at: brainly.com/question/25638875
