Answer:
x = 1178 games
Step-by-step explanation:
Let the number of games = x
Let the total cost = Tc
Let the total revenue = Tr
Given the following data;
Investment = $10,000
Cost of each game = $1.50
Selling cost = $9.99
Total cost, Tc = (Cost of each game * Number of games) + Investment
Tc = 1.50x + 10000
Total revenue, Tr = Selling cost * Number of games
Tr = 9.99x
Breakeven point is when total cost is equal to total revenue;
Tc = Tr
x = 1177.86 ≈ 1178 games.
<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>
We know that
speed=distance/time
solve for time
time=distance/speed
in this problem
<span>Marco runs at a rate of 6 miles per hour.
</span><span>Fernando funs at a rate of 7.2 miles per hour
Difference=7.2-6=1.2 miles/hour
so
speed=1.2 miles/hour
distance=0.3 miles
time=?
</span>time=distance/speed-----> 0.3/1.2-----> 0.25 hour-----> 0.25*60=15 minutes
<span>
the answer is
0.25 hour (15 minutes)
Alternative Method
Let
x---------> Fernando's distance when Marco is 0.3 miles apart
</span>Fernando funs at a rate of 7.2 miles per hour
<span>for distance =x
time=x/7.2------> equation 1
</span>Marco runs at a rate of 6 miles per hour.
for distance=x-0.30
time=(x-0.30)/6------> equation 2
equate equation 1 and equation 2
7.2*(x-0.3)=6x-----> 7.2x-2.16=6x
7.2x-6x=2.16------> x=2.16/1.2-------> x=1.8 miles
time=x/7.2-----1.8/7.2=0.25 hour
40% of 1 km in meters is 400 meters
<h3>What is percentage :</h3>
Percentage simply means per 100. Percentage can be express as decimal or fraction.
For example 25% of 80 can be found as follows:
- 25 / 100 × 80 = 2000 / 100 = 20
From the example, 25% of 80 is 20 .
Therefore, 40% of 1 km(m) can be found as follows:
Let's convert km to metres.
1000m = 1km
40% of 1000
40 / 100 × 1000 = 40000 / 100 = 400metres
Therefore, 40% of 1 km in meters is 400 meters
learn more on percentage here: brainly.com/question/19540991?referrer=searchResults
D.) Nanometer is the smallest among your options.
It is equal to 10^-9
Hope this helps!
The perfect square monomial and its square root are shown in options 1, 2, and 5.
- A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
- 1) 121, 11
- 11² = 121
- A perfect square monomial and its square root are represented by this equation.
- 2) 4x², 2x
- (2x)² = 4x²
- A perfect square monomial and its square root are represented by this equation.
- 3) 9x²-1, 3x-1
- (3x-1)² = 9x²- 6x +1
- This phrase does not depict a square monomial and its square root in perfect form.
- 4) 25x, 5x
- (5x)² = 25x²
- This phrase does not depict a square monomial and its square root in perfect form.
- 5) 49(x^4), 7x²
- (7x²)² = 49(x^4)
- A perfect square monomial and its square root are represented by this equation.
To learn more about monomial, visit :
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