First, we need to find the least common denominator. The LCD for 7/8 and 1/3 would be 24. 7*3/8*3 = 21/24. 1*8/3*8 = 8/24. So, how many 8/24 will go into 21/24? 8 goes into 21 two times, and we are left with a remainder of 5. The answer is: Karen can make 2 and 1/24 servings of 1/3 cups of ice cream.
Let x = price of the bike before a sales tax.
The price after a sales tax of 8% is
x + 0.08x = 1.08x dollars
Because the price paid was $171.18, therefore
1.08x = 171.18
x = 171.18/1.08 = $158.50
Answer: 158.50
Answer:
Graph y = 2x
Step-by-step explanation:
First, let's get the equation into standard form. Distribute the 2 on the right.
Next, we want the variable "y" to be alone, so we at 4 to both sides.
That is our equation in standard y = mx + b form. "m" is our slope, while "b" is our y-intercept. Above , we don't have a value for b, therefore the line passes through the origin.
We do, however, have a slope, which can be thought of as 
or rise over run. To represent this, we can rewrite our slope as:
Meaning in each interval, the line goes up by 2 units, and moves forward by 1.
Answer:
- apple: £0.20
- banana: £0.60
Step-by-step explanation:
Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...
4a +b = 1.40
7a +b = 2.00
Subtracting the first equation from the second gives ...
(7a +b) -(4a +b) = (2.00) -(1.40)
3a = 0.60 . . . . simplify
a = 0.20 . . . . . .divide by 3
Using this in the first equation, we have ...
4(0.20) +b = 1.40
b = 0.60 . . . . . subtract 0.80
The cost of an apple is £0.20; the cost of a banana is £0.60.
Like what kinds? Finding out the type of angle? The degree?
