6 treats in each bag.
First, since there were 3 batches of 24 treats, multiply 3 by 24 to get the total amount of treats
3•24=72 treats in total
Next, divide 72 by 12 to get how many treats will go in each bag.
72/12= 6 treats in each bag.
Next,
<em><u>Question:</u></em>
Which of the following is another way to express the equation 8 - (-d) = 43?
A.8-d=43
B.-d+8=43
C.-8+d=43
D.8+d=43
<em><u>Answer:</u></em>
8 + d = 43 is another way to express the given equation
<em><u>Solution:</u></em>
Consider the given equation

We have to find the another way to express the above equation
We know that,
We we multiply negative sign number by another negative sign number, then the result is positive sign number
Therefore from given,

<em><u>Thus the given equation becomes,</u></em>
8 + d = 43
Thus option D is correct
<u>Answer</u>
B. Length = 37, width = 28
<u>Explanation</u>
Let the length of the rectangle be x,
width is 9 less. So, width = x - 9
Perimeter of a rectangle = 2(length + width)
2(length + width) = 130
2(x + x - 9) = 130
2(2x - 9) = 130
4x - 18 = 130
4x = 130 + 18
4x = 148
x = 148/4
= 37
<em>Length = 37</em>
<em>Width = 37 - 9 = 28</em>
Sec^2 x - 1 = tan^2x
Proof:
Sec^2x = 1+ tan^2x
1/cos^2x = 1 + sin^2x/cos^2x
<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side
Answer:
Step-by-step explanation:
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