Mike is driving 20 miles per hour
If he is driving 10 miles in 30 mins
(1/2 an hour) if you times both by two it tells you the MPH that Mike is driving.
Answer:
x = 45, y = 5
Step-by-step explanation:
It is given that two lines form a linear pair with equal measures. Therefore, the angle between the two lines will be 90. Now, according to the question,
2x + 20y - 10 =90
2x+20y = 100
x + 10y = 50
And
2x = 20y-10
x = 10y -5
x - 10 y = -5
Now, adding x + 10y = 50 and x - 10y =-5, the value of x can be found. The required value will be:
x + 10y =50
x - 10y = -5
------------------
x = 45
Therefore, the value of y after substitution of the value of x in one of the equations will be:
90 = 20y - 10
20 y = 100
y = 5
Hence, the required value of x and y are 45 and 5 respectively.
5/4 is the constant of proportionality
Answer: 
Step-by-step explanation:
We have several properties of exponents in use here. The two that are used are:
<em>(Exponents with the same base that are being multiplied together can have the exponents added)</em>
<em>(A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)</em>
<em />
Let's apply it!
First, let's simplify what's inside the parenthesis.
<em>(Remember, they have the same base of "x", so we can add the exponents)</em>
= 
= 
Now we have 
. Let's use the second rule.
=
Hope this helps! :^)
Answer:
Each Novis share 7 sheep and each Expert share 12 sheep.
Step-by-step explanation:
Here, N represent the number of novices and E represent the number of experts needed for the company to meet its goal,
∵ All novices share the same number of sheep per day and all experts share the same number of sheep per day.
Let the sheep per day by a Novice = x and sheep per day by an expert = y,
So, the total sheep = xN + yE
According to the question,
Total sheep ≥ 700
⇒ xN + yE ≥ 700,
By here, we have given the inequality for the given scenario,
7N+12E ≥ 700
By comparing,
x = 7 and y = 12
Hence, Each Novis share 7 sheep and each Expert share 12 sheep.
