Assume that Cody was x cm tall on his first day at school last year.
Assume that Cody is y cm tall on his first day at school this year.
This year, Cody became 10% taller.
10% is equivalent to 0.1
This can be translated into the following:
y = x + 0.1x
We are given that y = 165 cm.
Substitute in the equation to get x as follows:
165 = x + 0.1x
165 = 1.1x
x = 150 cm
Based on the above calculations, Cody was 150 cm tall on his first day at school last year.
<span>In a triangle the sum of two sides is always greater than the third side.
12-5 < x < 12+5
7 < x < 17 </span>← answer
Part A:
Look at the image attached to my answer for the graph of the inequalities.
There are two different lines provided, one with a more negative slope than the other. The shaded area between them represents the solution set.
The green line is 2x+y≤8, the blue line is x+y≥4
Part B:
To test if (8, 10) is included, substitute x = 8 and y = 10 into both inequalities. If it doesn't satisfy one of them, then it isn't included in the solution area.
2(8) + 10 ≤ 8
16 + 10 ≤ 8
26 ≤ 8... 26 is NOT less then or equal to 8
Thus, (8, 10) cannot be a solution since the inequality is not true.
Part C:
I'm going to choose a random point from the graph, (2, 3). For your answer, any point in the shaded region where both x and y is positive will work.
The point (2, 3) means that Sarah can buy 2 cupcakes and 3 pieces of fudge to get at least 4 pastries for her siblings while staying within her 8 dollar budget.
Let me know if you need any clarifications. Happy Studying~
Answer:
(D)
Step-by-step explanation:
The given fractions are:
.
We have to find the product of the given fractions, that is:
=
Simplifying the mixed fractions, we get
=
=
Converting the answer into mixed fraction, we get
=
which is the required answer.
Given the Universal Set = {a, b, c, d, e, f, g, h, i, j, k} and the following subsets:
Murljashka [212]
Given B = {a, c, e, g, i, k} and C = {h, i, j, k}, we have
C' = {a, b, c, d, e, f, g}
so that
B U C' = {a, b, c, d, e, f, g, i, k}
and so
n(B U C') = 9