<span>Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144
Solution:
Since it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.
for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!
for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d
they have the same value for d, thus the correct answer is </span><span> c. -13, 21, 55, 89</span>
X + y = 12 / x (-45);
Then, -45x - 45y = -540;
We have 80x + 45y = 645 and
-45x - 45y = -540
________________
35x = 105;
Finally, x = 105÷35;
x = 3;
y = 12 - 3;
y = 9;
He wrote identity instead of commutative in step 4
First we need the equivalence between cups and pints to solve this question, the equivalence is:
1 cup is 0.5 pint
So we can use a rule of three simple, direct proportion to solve the problem, we change the fraction 1/4 = 0.25 to ease calculations:
1 cup ----> 0.5 pint
0.25 cup ---> x
x = (0.25)(0.5)/1
x = 0.125
Therefore 1/4 cups is equivalent to 0.125 pints
