Answer:
original number: 27
reversed number: 72
Step-by-step explanation:
Let the tens place digit = a
Let the units place digit = b
⇒ Original two-digit number = 10a + b
⇒ Reversed two-digit number = 10b + a
If the reversed two-digit number is 9 less than 3 times the original number:
⇒ 10b + a = 3(10a + b) - 9
⇒ 10b + a = 30a + 3b - 9
⇒ 7b = 29a - 9
If the different of the two numbers is 45 (and the reversed number is larger than the original number):
⇒ (10b + a) - (10a + b) = 45
⇒ 10b + a - 10a - b = 45
⇒ 9b -9a= 45
⇒ 9(b - a)= 45
⇒ b - a= 5
⇒ b = 5 + a
Substitute b = 5 + a into 7b = 29a - 9 and solve for a:
⇒ 7(5 + a) = 29a - 9
⇒ 35 + 7a = 29a - 9
⇒ 44 = 22a
⇒ a = 2
Finally, substitute the found value of a into b = 5 + a and solve for b:
⇒ b = 5 + 2 = 7
Therefore,
- original number: 27
- reversed number: 72
Answer:
c
Step-by-step explanation:
From the definition of a function, an x-value cannot have more than 1 corresponding y-value. Since x = -5 has already been used, it cannot be used again with a different value for y.
Answer:
A. (1, 3) is your answer.
Step-by-step explanation:
Since they are both positive that means that it will be increasing.
Answer:
20
Step-by-step explanation:
First we start off with the Pizza ($13)
Then we add our first 2 toppings to our pizza ($2 + $2 = $4)
And then we add our last 3 toppings to our pizza ($1 + $1 + $1 = $3)
Now we can add all of our costs up to get our answer
$13 + $4 + $3 = 20$
Therefore the cost for this Pizza is $20
Answer: $4.53
Explanation:
7 dvds cost 31.71 so divide 31.71 by 7
31.71/7 = 4.53
