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)
The coordinates of vertex B' is
.
<h3>
How to calculate the coordinate of point by reflection</h3>
A point if reflected across the line
by means of the following formula:
(1)
Where:
- Original point
- x-Coordinate of point P
- Resulting point
If we know that
and
, then the coordinates of the vertex is:
![P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20%28-2%2C%204%29%20%2B%202%5Ccdot%20%5B%28-2%2C-2%29-%28-2%2C4%29%5D)



The coordinates of vertex B' is
. 
To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272
Answer:
30(2+3)
Step-by-step explanation:
1) Find GCF of 60 and 90 (30)
2) Divide both by GCF
3) Put GCF in front of parentheses, then add quotients within the parentheses
Answer:
239
Step-by-step explanation:
Write the equation. Fill in the given values, and solve for the unknown,
z = k√x
717 = k√9
k = 717/3 = 239
The constant of proportionality is 239.
The number is less than 190,000 and greater than 180,000
5,000 more than the number has 187 thousands
2000 less than the number has 4 hundreds
180, 000 <n> 190, 000
180,000 + 2000 = n = 5000-187, 000
182,000 = n = 182, 000
Or,
180, 000 <n> 190,000
n + 5000= 187, 000 n – 2000 = 180, 000
n= 187, 000- 5000 n = 180, 000 + 2000
n= 182, 000 n= 182, 000