Answer:
900
Step-by-step explanation:
We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:
1000/100 = 10
3890/389 = 10
However, the requirement cannot be met when the 1s digit is other than zero.
__
For some 3-digit number N and some 1s digit x, the 4-digit number will be
4-digit number: 10N+x
Dividing this by N will give ...
(10N+x)/N = 10 remainder x
N will only be a factor of 10N+x when x=0.
So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.
Answer:
\frac{2x^2}{3} =24
Step-by-step explanation:
times both sides by 3
2x²=72
divide both sides by 2
x²=36
sqrt both sides
x=+/-6
x=-6 or 6
-6<6 so -6 is the smallest solution
Answer:
Step-by-step explanation:
A = LW + ½πr²
A = 15(12) + ½(3.14)(12²/4)
A = 180 + 56.52
A = 236.52 m²
Answer:
68
Step-by-step explanation:
Let:
Number of girls invited = x
Number of boys = x +20
3/4 of boy showed up
2/3 of girls showed up
Exactly 19 did not show up
Therefore, we could say:
Fraction of boys that didn't show up = 1 - 3/4 = 1/4
Fraction of girls that didn't show up = 1 - 2/3 = 1/3
That is,
[1/4 *(x + 20)] + [1/3*x] = 19
[(x + 20) / 4] + x /3 = 19
(3(x + 20) + 4x) / 12 = 19
3x + 60 + 4x = 228
7x = 228 - 60
7x = 168
x = 168 / 7
x = 24
Number of girls, x = 24
Number of boys, x + 20 = 24 + 20 = 44
Total friends invited = (24 + 44) = 68
Degree: 2
Leading coefficient: 1
Constant term: -30
Horizontal/X intercepts: (-6, 0) and (5, 0)
Vertical/Y intercept: (0, -30)
Here's a quick rundown: Distribute to find the standard form quadratic. Because it is quadratic, its degree must be 2. There isn't any number before the first variable, so it can be assumed to be 1. The last term, which doesn't have a variable and therefore the constant, is -30. By reversing the signs of the signs of the numbers in the factors, you can easily find the horizontal intercepts/X-intercepts/zeros/roots which are (-6, 0) and (5, 0). The constant term will in most cases also be the Y-intercept/horizontal intercept. Therefore the Y-intercept is (0, -30) This applies to this equation because there is nothing being multiplied across the entire equation.
