Consider this option (this is not the only way):
1. according to the condition 2345N is divisible by <em>6</em>, it means, that N is even number (0;2;4;6 or 8).
2. <em>6</em>=3*2, then the number 2345N is divisible by 3 also. It means, that the number (2+3+4+5+N)=(14+N) is divisible by 3, where N={0|2|4|6|8}.
3. using items 1 and 2:
(14+4)=18; only 18 is divided by 3, it means that N=4.
answer: 4.
Note also, that only 23451; 23454 and 23457 are divided by 3. Only 2345<u>4</u> is divided by 6 (2345<u>4</u>/6=3909).
The equation that can be used to represent the situation given that x is the number of hours spent babysitting is 4(x + 8) = 56
<h3>How to write and solve equation</h3>
- Amount paid per hour for babysitting =$4
- Total amount made = $56
- Hours spent babysitting on Sunday = 8 hours
Total earned babysitting on Sunday = Hours spent babysitting on Sunday × Amount paid per hour
= 8 × 4
= $32
Number of hours he babysat on Saturday = $56 - (8 × 4) ÷ 4
= 56 - 32 ÷ 4
= 24 ÷ 4
= 6 hours
A. 8x+4 = 56
8x = 56 - 4
8x = 52
x = 52/8
x = 6.5
B. 4x+8 = 56
4x = 56 - 8
4x = 48
x = 48/4
x = 12
C. 8(x + 4) = 56
8x + 32 = 56
8x = 56 - 32
8x = 24
x = 24/8
x = 3
D. 4(x + 8) = 56
4x + 32 = 56
4x = 56 - 32
4x = 24
x = 24/4
x = 6
Learn more about equation:
brainly.com/question/16863577
Answer:
<em>The zeros of the polynomial are -1 and 5</em>
Step-by-step explanation:
<u>Quadratic Equation Solving</u>
The standard representation of a quadratic equation is:

where a,b, and c are constants.
Solving with the quadratic formula:

We have the following equation to solve:

Before attempting to solve it, we must simplify the equation.
Collecting like terms and reordering:

Here: a=1, b=-4, c=-5
The discriminant of this quadratic equation is:


Given d is positive, the equation has two roots, and since d is a perfect square, both roots are rational.
Applying the formula:


Dividing by 2:

Separating both roots:
x = 2 + 3 = 5
x = 2 - 3 = -1
The zeros of the polynomial are -1 and 5
36 = 75% of what?
36 = 75% of x
36 = 0.75x
0.75x = 36
x = 36/0.75
x = 48
Therefore 36 is 75 percent of 48
Hope this explains it.
Answer:
x⁴+3x³ -5x +1
Step-by-step explanation:
To multiply this we are going to <u>multiply each term of the binomial by each term of the polynomial.</u>

Now we are going to <u>combine like terms (this means we are going to sum up terms with the same exponent)</u>

Thus, the answer is x⁴+3x³ -5x +1