I hope this helps you
2y+y=9
3y=9
y=3
x=2y=2.3=6
Answer:
7.5 L of 10% solution and 22.5 L of 30% solution
Step-by-step explanation:
Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.
x + y = 30
Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.
0.10 x + 0.30 y = 30 × 0.25
0.10 x + 0.30 y = 7.5
Solve the system of equations, using either substitution or elimination. I'll use substitution:
x = 30 − y
0.10 (30 − y) + 0.30 y = 7.5
3 − 0.10 y + 0.30 y = 7.5
0.20 y = 4.5
y = 22.5
x = 30 − y
x = 7.5
Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.
I hope this isn't too late! You can find the answer to this by first finding the area of the circle, A=πr². So since the radius is 10, we input that into the equation to get π100. Now, there is 360° in a circle and a sector of 90° is 1/4 of it. So to answer the question all you have to do is find 1/4 of the area of the circle.
The answer is π25.
To solve the other questions on your assignment just think about how much the sector is of the full 360° of the circle, for example 180° is 1/2 of the circle or 270° is 3/4 of the circle, and multiply the fraction by the area of the circle.
Hope this helped, good luck! :)
For the text answers:
conditional - If 2 lines are supplementary then the measure of the angles sum is 180
converse - If the measure if the angle sum is 180 then the 2 lines are supplementary
inverse - If 2 lines are not supplementary then the measure if the angle sum is not 180
contrapositive - If the measure if the angle sum is not 180 then 2 lines are not supplementary.
answer to the picture one:
conditional - If you do all your math homework then you will do well on the test.
converse - If you do well on the test then you do all your math homework
inverse - If you do not do all your math homework then you will not do well on the test.
contrapositive - If you do not well on the test then you did not do all your math homework
Answer: I got C.
Step-by-step explanation: I squared both 3.9 and 9.7 which gave me 109.3. Then, I square rooted it and got 10.45 which rounds to 10.5. Hopefully, this is right.
