<h2>Steps:</h2>
(Let x = greater number and y = lesser number)
So this question is asking us for a system of equations. Using the info they provide, we can form these two equations:
So for this, we will be using the substitution method. Since we know that x = y + 7, substitute x with (y + 7) in the second equation as such:
From here we can solve for y. Firstly, distribute 3 so that it multiplies with y and 7:
Next, subtract 3y on both sides of the equation:
Lastly, subtract 5 on both sides of the equation:
Now that we know the value of y, we can substitute it into either equation to solve for x:
<h2>Answer:</h2>
<u>In short, 16 is the lesser number and 23 is the greater number.</u>
How many three-fourths are in 2? 2 complete sets of three-fourths can be made and 2 of the 3 pieces need to make \frac34 are left over, so we have another \frac23 of a three-fourths. and we can see that there are 2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.
Wyoming’s population is
equals to:
=> 5 x 10^5
Colorado’s population is equals to
=> 5 000 000
Now, we need to find the answer which population is greater. First, let’s
solve the Wyoming’s population:
=> 5 x 10^5
=> 5 x (10 x 10 x 10 x 10 x 10)
=> 5 x 100 000
=> 500 000
=> Colorado vs Wyoming = 5 000 000 vs 500 000
Thus, Wyoming population is 0.1 times the population of Colorado.
=> 5 000 000 x 0.1 = 500 000
14(10) + 2, 14x10 is 140 plus 2 = 142
2(7(10) + 1) 7x10 = 70 + 1 = 2(71) = 142
Answer:
Domain: amount of fuel in the airplane's tank (in gallons)
The set of all real numbers from 0 to 200
Range: weight of airplane (In pounds)
The set of all real numbers from 3000 to 4400
Step-by-step explanation:
We have the following function
Where W represents the weight of the plane in pounds and F represents the amount of fuel in gallons.
The domain of a function is the set of values "F" that can be entered in a function W(F) to obtain an output value of W.
In this case the range of the function W(F) is the whole set of values 
that are obtained for 
Note that, in this case, equation W(F) is used to obtain the weight of the airplane from the amount of fuel F.
Then the domain of the function is the amount of fuel in the airplane tank (in gallons). Since the tank can only hold up to 200 gallons, and there are no negative volume units, then the domain is all real numbers between 0 and 200.
The range of the function is the weight of the plane (in pounds). Note that the minimum weight of the airplane with 0 gallons of fuel is 3000 pounds and the maximum weight with the full tank is 4400 pounds.
Then the range is all real numbers between 3000 and 4400
