Answer:
thanks for the points this'll help me on my math test!
Step-by-step explanation:
9514 1404 393
Answer:
base: 12 in
altitude: 7 in
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Filling in the given information, we have ...
42 = 1/2(b)(b -5)
b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form
(b -12)(b +7) = 0 . . . . factor
The only positive solution is b = 12
The base is 12 inches; the altitude is 7 inches.
Answers:
Rent = 750
Savings = 750
Groceries = 625 (you are correct)
Other = 375
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Explanation:
Convert each percent to decimal form. You do this by moving the decimal point 2 spots to the left.
Rent has 30% turn into 0.30, which multiplies with 2500 to get 0.30*2500 = 750
For savings, the same multiplier is used because we also have 30% here as well. So the same amount is devoted to savings.
You have the correct answer for groceries. Multiply 0.25 with 2500 to get 625. Nice work on getting the correct answer here.
Finally, we have 15% devoted to other, so we multiply 0.15 by 2500 and we get 0.15*2500 = 375
As a check, we can add up the subtotals 750, 750, 625, 375 to get 750+750+625+375 = 2500 which helps us confirm our answers.
1st box: 2a (subtract 2a from both sides)
2nd box: 3 (add 3 to both sides)
3rd box: 10 (add 7+3)
4th and 5th box: 2 (divide both by 2)
6th box: 5 (10/2=5)