Answer:
$144
Step-by-step explanation:
divide 272 by 17 and then multiply that answer by 9
272/17 is 16
so 16 dollars an hour
multiply that by 9
you get 144
$125 is a "must budget" so it will be the constant in the inequality
The fountain is $30 per hour. If they spend x hours, then their budget for fountain will be
fountain = 30x
The inequality
Their budget is maximum $250, that means they are able to spend less than or equal to $250
constant + fountain ≤ 250
125 + 30x ≤ 250
<em>This is the inequality expression</em>
Answer:
20
Step-by-step explanation:
We already have our first value 3.4 and the second value 17. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
Step 1 ---> 3.4 = 17% × Y
Step 2 ---> 3.4 = 17/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 17 we will arrive at:
Step 3 ---> Y = 3.4 × 100/17
Step 4 ---> Y = 3.4 × 100 ÷ 17
Step 5 ---> Y = 20
Finally, we have found the value of Y which is 20 and that is our answer.
<h3><u>
*You can easily calculate 3.4 is 17 percent of what number by using any regular calculator, simply enter 3.4 × 100 ÷ 17 and you will get your answer which is 20*</u></h3>
First of all, the modular inverse of n modulo k can only exist if GCD(n, k) = 1.
We have
130 = 2 • 5 • 13
231 = 3 • 7 • 11
so n must be free of 2, 3, 5, 7, 11, and 13, which are the first six primes. It follows that n = 17 must the least integer that satisfies the conditions.
To verify the claim, we try to solve the system of congruences
Use the Euclidean algorithm to express 1 as a linear combination of 130 and 17:
130 = 7 • 17 + 11
17 = 1 • 11 + 6
11 = 1 • 6 + 5
6 = 1 • 5 + 1
⇒ 1 = 23 • 17 - 3 • 130
Then
23 • 17 - 3 • 130 ≡ 23 • 17 ≡ 1 (mod 130)
so that x = 23.
Repeat for 231 and 17:
231 = 13 • 17 + 10
17 = 1 • 10 + 7
10 = 1 • 7 + 3
7 = 2 • 3 + 1
⇒ 1 = 68 • 17 - 5 • 231
Then
68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)
so that y = 68.
Answer:
22x - 14
Step-by-step explanation:
pretty sure its like this..
3(4x-3)+5(2x-1)
= 3×4x + 3×(-3) + 5×2x + 5×(-1)
= 12x + (-9) + 10x + (-5)
and according to the rules of multiplying negative by positive...
= 12x - 9 + 10x - 5
combine like terms using the symbols on its left
= 12x + 10x - 9 - 5
= 22x - 14
