Answer:
Step-by-step explanation:
The initial expression is:
Using BEMDAS (Brackets - Exponents - Multiplication - Division - Addition -Subtraction), we first start with brackets:
Remember that if there is a negative sign, it will change the signs of the terms within the brackets.
Then, collecting like terms:
Try this solution:
Common view of the equation of the circle is (x-a)²+(y-b)²=r², where point (a;b) is centre of the circle, r - radius.
1. using the coordinates of the centre and point (2;13) it is possible to define the radius of the circle: r=√(5²+12²)=13;
the equation is (x+3)²+(y-1)²=13² or (x+3)²+(y-1)²=169;
2. using the coordinates of the centre and the radius: (x-2)²+(y-4)²=6² or (x-2)²+(y-4)²=36.
Answer + explanation:
1. Writing the function
You know that for every mile it costs 40 cents, or 0.4 dollars, so you can write this as 0.4m.
You also know that there is an initial fare of 2.5, so you add that.
Then you have F = 0.4m + 2.5
2. Find the better choice
Since she has to travel 5 miles, you can plug m = 5 into the function to see the cost:
F = 0.4 * 5 + 2.5
F = 2 + 2.5
F = 4.5 or $4.50
Since $4.50 < $8.00, you know that the cab would be the cheaper and better option.
Answer:
6 bowls of ramen eaten by you & your friend
Step-by-step explanation:
The question appears pretty choppy for me. I'll answer what I think you're asking and update in the comments if needed.
Imagine that you and a friend go to a local ramen shop for dinner at this restaurant, each regular bowl of ramen is $7.25. Drinks are $1.50 each. How many regular bowls of ramen did you and your friend eat if you ordered 2 drinks each and your total was $49.50?
a. Write an equation to represent the situation using x to represent the # of bowls you and your friend ate.
4($1.50) + $7.25x = $49.50
6 + 7.25x = 49.50
subtract 6 from both sides
7.25x = 43.50
divide both sides by 7.25
x = 6
Checking the math:
4(1.5) + 6(7.25) = 6 + 43.50 = 49.50
4 drinks, 6 bowls of ramen for $49.50
$18 ; to find 15% of the bill, divide 120 by .15.
