Answer:
53
Step-by-step explanation:
Given: The sum of two digit number is 8
Reversing the digit will get us number 18 less than the original.
Lets take x as tenth digit of our number and y as unit digit of our number.
As given sum of digit is 8
∴ 
∴ 
- equation 1
We also know that reversing the digit will get us number 18 less than the original.
∴ 
Now, lets put the value of y from equation 1
⇒ 
⇒ 
⇒ 
∴ 
Next, substituting the value of x in equation 1
⇒ 
∴ 
∴ The original number is 53, sum of the digit is 8 and if we reverse the digit of the number, we get 35, which is 18 less than the original number.
Answer: Josephine will hit a single or a double when she is at 20%.
Answer:
40 cups
Step-by-step explanation:
We need to convert from quarts to cups using a conversion factor
We know that 1 quart = 4 cups
10 quarts * 4 cups
----------- = 40 cups
1 quart
Solve each of the equations independently, then determine if the are continuous or discontinuous.
15≥-3x [start here]
-5≤x [divide both sides by (-3). *Dividing by a negative number means the direction of the sign changes!]
x≥-5 [just turned around for analysis]
Next equation:
2/3x≥-2 [start here]
x≥-2(3/2) [multiply both sides of the equation by the reciprocal, 3/2)
x≥-3
So, (according to the first equation) all values of x must be greater than, or equal to -5.
(According to the second equation) all values of x must be greater than, or equal to -3.
So, when graphed on a number line, both equations graph in the same direction, so they are continuous.
