Answer:
Step-by-step explanation:
5(t+3)=-3.5
distribute
5t+15=-3.5
subtract 15 from both sides
5t= -18.5
divide both sides by 5
t=-3.7
Answer:
<h3>
Step-by-step explanation:</h3>
<u>Given:</u>
To find the area of the rug, we need to use the formula "πr² or π(D/2)²"
<u>Where:</u>
Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.
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Substituting "22/7" as π:
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When finding the area of ANY shape, do not forget to include the units.
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Answer:
(x, y) = (4, 9)
Step-by-step explanation:
You can use the second equation to write an expression for y.
y = 10 - 1/4x . . . . subtract 1/4x from the given 2nd equation
Now, substitute that for y in the first equation:
1/2x + 1/3(10 -1/4x) = 5
1/2x + 10/3 -1/12x = 5 . . . . eliminate parentheses
You can work this a couple of ways from here. One is to multiply by 12 to eliminate fractions. Another is to work with the numbers as they are. We'll do that, because we don't get enough practice doing arithmetic with fractions.
5/12x = 5/3 . . . . . subtract 10/3
x = (5/3)/(5/12) = 12/3 = 4
From above, we can use our expression for y:
y = 10 - 1/4·4 = 9
The solution is (x, y) = (4, 9).
