13/15 of her allowance was spent in total.
To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.
Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.
Then, you add the two fractions together (10/15 + 3/15 = 13/15).
Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.
Hope this helped!!!
Answer:
( 2x - 3 ) / 5
Step-by-step explanation:
2x - 6 = 5y - 3
2x - 6 + 3 = 5y
2x - 3 = 5y
y = ( 2x - 3 ) / 5
Answer:
The measure of all the angles are;
45°, 135°, 45°, and 135°
Step-by-step explanation:
The given parameters are;
The ratio of two adjacent angles of the parallelogram = 1:3
Let x represent one of the adjacent angles, and let y represent the other adjacent angle
Given that two adjacent angles of a parallelogram are supplementary, we have;
x + y = 180°
x:y = 1:3
Therefore, y = 3 × x = 3·x, which gives;
x + 3·x = 180°
4·x = 180°
x = 180°/4 = 45°
y = 3 × x = 3 × 45° = 135°
Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;
45°, 135°, 45°, and 135°.
How do I need help like fr
Answer:
Step-by-step explanation:
The given trigonometric equation is
for 
.
We divide through by 5 to get;
We take the inverse tangent of both sides to obtain;
Since the tangent ratio is positive, it means 
could also be in the 3rd quadrant. But this is outside the given range.
Therefore the correct answer is A
