Answer:
The number is 5
Step-by-step explanation:
Let x represent the number
Now let's break it down!
Sum of a number and 3 gives;
x + 3
This is then doubled to give;
2* (x + 3)
This is added to the product of 6 and the original number to give 46
Product of 6 and the original number = 6 * x
Now 2* (x + 3) is added to 6 * x to give 46
2* (x + 3) + 6*x = 46
2x + 6 + 6x = 46
8x + 6 = 46
Subtract 6 from both sides
8x + 6 - 6 = 46 - 6
8x = 40
x = 40/8
x = 5
Hence, the number is 5
Answer:
17
Step-by-step explanation:
85 divided by 5 in distributive property
85 can be break into 80 and 5
80+5 is 85
Now we divide each term by 5
Denominator 5 is distributed 5 inside the numerator
17 is the final answer
Answer:
Y + 3= 3/4( x - 7)
25.12 cm is the length of the circumference of this circle
Given problems;
1. Factor; x²+5x-24
To factor this equation, we must understand that this is a quadratic equation.
A quadratic equation usually has two roots.
x²+5x-24 = 0
- Then find two numbers whose product is -24 and their sum is +5
the numbers are +8 and -3
then replace 5x with the number;
x² + 8x - 3x - 24 = 0
Now factorize;
x(x +8) - 3(x + 8) = 0
(x-3)(x+8) = 0
Factoring gives (x-3)(x+8)
2. Factor 2n² - 5n -3;
Equate to zero;
2n² - 5n -3 = 0
Find the number whose sum is -5 and the product gives -6( 2 x -3);
the number is -6 and +1;
2n² - 6n + n -3 = 0
2n(n-3) + 1(n-3) = 0
(2n + 1)(n-3) = 0
The factor of the equation is (2n + 1)(n-3).
