Answer: n-8
Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.
I hope this helps, have a nice day.
Answer:
She should have $4200 in the account after 24 weeks.
Step-by-step explanation:
Because this account has no interest and only increases its value because she adds $100 every week, we just multiply the number of weeks by 100 and add that to the $1800 she already has in the account.
For the first part:Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:

With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:

So, her total is:

If you subtract 3 from the total, then the expression is:
For the second part:If she's paying 3 less for each shirt, then the cost of 3 shirts will become:

In the same fashion, for the two jeans:

So the expression for the total cost is:
For number three:The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.
For number four:If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).
So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.
Answer:
Factoring: y2-900
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 900 is the square of 30
Check : y2 is the square of y1
Factorization is : (y + 30) • (y - 30)
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➷ Just work with what is inside the parenthesis
Also, move around the terms to help it make more sense:
(cosA cosB - cosA cosB + sinA sinB + sinA sinB)
As you can see, the 'cosA cosB' would cancel out through subtraction.
Now we have this:
(sinA sinB + sinA sinB)
This is just two sets of sinA sinB so it can be written as:
(2 * sinA sinB)
Simply place the values outside the parenthesis back there to get the answer
SinA sinB = 1/2 * (2 * sinA sinB)
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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