Answer:
(-1, 6)
Step-by-step explanation:
The midpoint of a line segment is effectively the point that lies halfway between two pairs of coordinates on a line. The coordinates we're concerned with here are (-4, 10) and (2, 2). So first think about what is halfway between -4 and 2 (or you can add -4 and 2 then divide by 2) and do the same with 10 and 2. This will give you (-1, 6).
Answer:

Step-by-step explanation:

Answer:
10/14, 15/21, and 20,28
Step-by-step explanation:
You just need to multiply a number on the numerator and the denominator. Remember, whatever you do to the numerator you have to do on your denominator.
Answer:
56
Step-by-step explanation:
There are two ways the answer to this question can be determined
<u><em>Method 1 : the fast method </em></u>
We know that 8 is twice 4
4 x 2 = 8
The ratio of diet soda = 8
the ratio of regular sodas = 4
Diet sodas = 112
the number of regular sodas = 112 / 2 = 56
<u><em>Method 2 : The long method </em></u>
I would first determine the total number of diet and regular sodas. Let the total number be represented by d
from the question, the following equation can be derived :
(8/12) x d = 112
divide both sides of the equation by 12/8 to determine the value of d
d = 112 x (12/8) = 168
We can now derive a value for the number of regular soda
regular sodas = ( ratio of regular sodas / total soda) x total number of sodas
(4/12) x 168 = 56
Answer:
Jiri is 12 years old
Step-by-step explanation:
To start off we need to make an equation. Since we know both of their ages add up to 48 and that Pamela's age is 3 times Jiri's age we can say x(Jiri's Age) + 3x(Pamela's age) =48 --> x+3x=48
Now we have the equation x+3x=48, and we need to solve it.
First combine like terms
4x=48
Now divide both sides by 4
x=12
And now since we are using Jiri's age as x we know Jiri is 12 years old.