Answer:
15.

16. 10 ml of 20% saline and 40 ml of 10% saline
Step-by-step explanation:
A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes
x + y ml that is 50 ml, so

There are
ml of salt in x ml of 20% saline and
ml of salt in 10% saline. There are
ml of salt in 50 ml of 12% saline. Thus,

15. We get the system of two equations:

16. Solve this system. From the first equation:

Substitute it into the second equation:

Answer:
40

Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6
cm
width = 2
cm
height = 2
cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6
cm x 2
cm x 2
cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
- 6
= 
- 2
= 
Volume =
x
x
When you multiply everything together you should get
.
As a mixed number, that would be 40
.
Answer: each width = 10, each length = 21
Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
I that 'y' is 45 degrees because of alternate angles (I think its called).
If you look at the large triangle on the left where the corner angles are 35 and 80 and 20+an unknown angle. We can work out the missing angle by doing 180-80-35-20= 45.
And so if we use the fact that alternate angle must be equal then y= 45 degrees (I think!)
Answer:-1/2
Step-by-step explanation:
16^x=1/4
(4^2)^x=4^(-1)
4^2x=4^(-1)
Base cancelled each other since they are the same
2x=-1
Divide both sides by 2
2x/2=-1/2
x=-1/2