Answer:
5
Step-by-step explanation:
With the equation 
, we can substitute the values of x = 3 and y = -2 into the equation to find its result.
Hope this helped!
Answer:
Step-by-step explanation:
Solving (a):
7x - 19 and 3x + 14 are interior angles.
So:
Collect like terms
7x - 19 and 5y - 2 are equal angles --- corresponding angles
So:
Make 5y the subject
5y = 7x -17
Make y the subject
Substitute
Solving (b):
The triangle is right-angled.
So:
Collect Like Terms
Answer:
A = 0.8 litres
B = 0.7 litres
C = 0.5 litres
D = 0.2 litres
Step-by-step explanation
Here's what we know:
1. Jug A = B + .1 litres
2. Jug C = B - 200 (or 0.2 litres)
3. Jug D = .25 x A
4. Jug A + Jug B = 1.5 litres
In problem 1, we learned that Jug A has .1 litres more than Jug B and in problem 4, the two of them added together are 1.5 litres. To solve this we can combine the problems.
B + .1 litres + B = 1.5 litres
2B + .1 = 1.5
Subtract .01 from each side and you have 2B = 1.4
Divide each side by 2 and you have B = 0.7 litres
Plug this info into problem 1 and you can solve for A. (0.7 + 0.1 = 0.8)
Plug this info into problem 2 and you can solve for C. (0.7 - 0.2 = 0.5)
Since you have A, you can use that info to solve problem 3 (0.25 x 0.8 = 0.2)
Answer:
408 cm^3
Step-by-step explanation:
You have to find the volume of each object individually. You first find the volume of the sphere, so you input the radius, which is 3, into the equation which comes out to be 108 cm^3. You then have to find the volume of the cylinder, and since you have the diameter of the cylinder, and you need the radius, and the radius is half of the diameter, you would input 5 into the equation as the radius, since half of 10 is 5. That comes out to be 300 cm^3, so then you add the two volumes together, which is 408 cm^3
Answer:
The total of the 15 tickets would be $240
Step-by-step explanation:
If you divide 48 and 3 you get 16 which is the cost for each ticket and then yuo multiply 16 by 15 and you get 240
