Answer:
Equations:
y + 10x = 23
y + 15x = 33
cost of basket with 25 apples = $53
Step-by-step explanation:
A basket with 10 apples cost $23 and a basket with 15 apples cost $33. Note that these costs also include the cost of the basket, which is same in both case. Let the cost of empty basket with "y" and cost of each apple be "x"
Cost of basket and 10 apples is $23. We can transform this statement into an equation as:
y + 10x = 23 Equation 1
Similarly,
Cost of basket and 15 apples is $33. This gives us another equation:
y + 15x = 33 Equation 2
Subtracting Equation 1 from Equation 2 , we get:
y + 15x - (y +10x) = 33 - 23
5x = 10
x = 2
Using the value of x in equation 1, we get:
y + 10(2)= 23
y = 23 - 20
y = 3
This means, cost of basket is $3 and cost of each apple is $2.
Now we can calculate the cost of basket with 25 apples, which will be:
Cost of basket + Cost of 25 apples = Total Cost
3 + 25(2) = 3 + 50 = $53
Y = 7x, if x equals the number of hours and y equals the amount of money charged.
3k²+11k+6, or (k+3)(3k+2), which is the 3rd one. :)
Answer: 7/3
Step-by-step explanation: let the original real number be x. After moving the decimal point of this real number two digits to the right, the number becomes 100x. The positive difference between the two numbers is 100x - x = 99x. Dividing the difference by 11, we have 99x/11 = 9x, which we are told is 21, so we have the equation 9x = 21/9, which equals 7/3. Thus, the original real number is 7/3.