Answer:
<em>12 scoops of dog food are needed for 6 dogs,</em>
Step-by-step explanation:
<u>Proportions</u>
The number of scoops of dog foods and the number of dogs are proportional variables.
We are given that 10 scoops of dog foods are used for 5 dogs. This gives a proportion of 10/5=2 scoops per dog.
We also know that 16 scoops are used for 8 dogs. The proportion is also 16/8=2 scoops per dog.
Thus, the constant of proportionality is 2.
For 6 dogs, you need to prepare 2*6 = 12 scoops of dog food.
12 scoops of dog food are needed for 6 dogs,
I am doing with Question Number 2
Let the two numbers be 'x' and 'y'.
According to the question, the product of two numbers is 14.
So, xy=14 (Equation 1)
Now, one of the numbers is 3 ½ times the other.
So, 
(Equation 2)
Substituting the value of 'x' from equation 2 in equation 1, we get
So, y= 2 and -2
So, 
and 
x=7 and -7
Numbers are 2,7 and -2,-7.
Sum of numbers 2 and 7 = 9
Sum of numbers -2 and -7 = -9.
Based on the information given, it can be noted that RUTS is a rectangle because the opposite sides are parallel and have equal lengths.
<h3>
Proving the rectangles.</h3>
RU = ST, UT = RS because the opposite sides are parallel and have equal length.
STU and SRU are right angles because they've 90°. Also, URS will be equal to STU. Lastly, USR = SUT because the angles are both alternate angles.
Learn more about rectangles on:
brainly.com/question/25789940
