Answer:
The correct ratio is 7:8, so no, Emma is not correct.
Answer:
(1/2, 9/2)
Step-by-step explanation:
Write the system as a column (not as a row of characters):
x − 3y = –13 and 5x + 7y = 34 =>
x − 3y = –13
5x + 7y = 34
Let's eliminate x using the method of addition and subtraction. Multiply all terms of the first row by -5:
-5x + 15y = 65
5x + 7y = 34
The sum of these two equations is
22y = 99, and so
y = 9/2
Substituting 9/2 or y in the first equation, we get:
x - 3(9/2) = -13, which simplifies to:
x = 27/2 - 13, or
x = 27/2 - 26/2, or x = 1/2
Then the solution is (1/2, 9/2)
Answer: 2 2/5
<u>Turn -1 3/5 into an Improper Fraction</u>
Multiply -1×5 and get -5. Now add 3 and get -8.
-1 3/5 = -8/5
<u>Do Keep Change Flip</u>
Keep: -8/5
Change: ÷ into ×
Flip: -2/3 into -3/2
<u>Multiply</u>
-8/5×-3/2=12/5
<u>Simplify</u>
12/5 = 2 2/5
Unsure of what you want here. If you want the square of 3 3/8, convert
3 3/8 to 27/8 and square that improper fraction: (27/8)^2 = 729/64.
And so on.
The cube of 3 3/8 is (27/8)^3 = 19683/512. You could also write that as 38.44 (which has been rounded off).
If you're using a graphing calculator, make sure you're in DEG mode (not RAD). There probably is no button for the secant function, but remember that secant is defined as the reciprocal of cosine:
So on your calculator, you'd type
1/cos(19)
and you should get about 1.0576.