It has an infinite amount of solutions.
Explanation:
d-3 = -3+d which can be arranged as: d-3=d-3
Since they are equal to each other, no matter what number you input, your solution will be the same which means that there are an infinite amount of solutions. Let’s put this to the test and put in 5 for d. 5-3=5-3 is 2=2. They are equal to each other which means: infinite solution.
First, we need to know the smallest two digit prime number. It can't start with one, since one is not prime, so it must start with two (or be in the twenties.) 20 is divisible by 2, 4, 5, and 10, 21 is divisible by 7 and 3, 22 is divisible by 2 and 11, so the smallest prime number is 23.
Now we need the largest two-digit prime number. It cannot start with nine or eight, since both are composite, so it must start with seven (be in the seventies.) 79 is the largest integer in the seventies and also happens to be prime, so there's our largest two digit prime number.
now we just need to add them for the sum:
23+79=102
hope I helped, and let me know if you have any questions :D
Answer:
The function notation is given as:
$6 + $30 × x
f(x) = $6 + 30x
The dog walker charges $28.50
Step-by-step explanation:
Let the hourly rate be represented by x
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30.
The function notation is given as:
$6 + $30 × x
F(x) = $6 + 30x
How much does the dog walker charge for a 45 minute walk?
We have to convert 45 minutes to 1 hour
60 minutes = 1 hour
45 minutes = x
x = 45/60
x = 3/4(hour)
Putting that in the function notation:
f(x) = $6 + 30x
x = 3/4
$6 + 30(3/4)
$6 + $22.5
= $28.50
Therefore, the dog walker charges $28.50
Answer:
A
Step-by-step explanation:
Sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total area by 8 to find the value of one part of the ratio.
1624 ÷ 8 = 203 cm² ← value of 1 part of ratio, thus
Area of B = 3 × 203 = 609 cm² → A
