The number of soda bottles Katie bought is 6
The given parameters are:
- Large Pizza = $14.99
- Soda = $1.50 per bottle
- Total cost = $23.99
Assume the number of soda bottle is x.
So, we have:
This gives
Subtract 14.99 from both sides of the equations
Divide both sides of the equations by 1.5
Rewrite the equation as
Hence, the number of bottles is 6
Read more about linear equations at:
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Answer:
20 is the answer.
Step-by-step explanation:
Substitute 3 in for x and -2 in for y.
4(3) - (-2 to the third power)
12 - -8 = 12 + 8
The answer is 20
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Answer and Step-by-step explanation:
A Diophantine equation is simply an equation that relates whole numbers.
There are various types of Diophantine equations, but probably the most basic is the linear version: ax + by = c.
Different methods also abound for solving these types of equations:
- Coordinate geometry
- Modular arithmetic
- Induction
Hope this helps!
The distance between the bottom of the ladder be from the base of the building will be 17.32 ft.
<h3>What is the Pythagorean theorem?</h3>
It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
As we can see in the figure the length of the ladder is 20 ft and the base of the ladder is 10 ft from the base of the building.
By using the Pythagorean theorem we will calculate the distance between the tip of the ladder and the base of the building.
H² = 20² - 10²
H²= 400 - 300
H² = 300
H = √300
H = 17.32 ft.
Therefore the distance between the bottom of the ladder is from the base of the building will be 17.32 ft.
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Answer:
f(7) = -23
Step-by-step explanation:
f(x) = -3x - 2
f(7) = -3(7) - 2
f(7) = -21 - 2 = -23
