Answer:
m = 5,520.619
Step-by-step explanation:
The given equation is :
y=5,520.619x-1,091.393 ....(1)
The general form of equation is given by :
y = mx +c ...(2)
Where
m is slope of line
c is y-intercept
Comparing equation (1) and (2), we get :
Slope, m = 5,520.619
Hence, the slope of the given line is 5,520.619.
Answer:
23 m and 15 m
Step-by-step explanation:
THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?
Let the height of the rectangle is h.
Base = 8+h
Area of the rectangle, A = 65 m²
We need to find the base and height of the rectangle. The area of a rectangle is given by :
A = bh
So,
![65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m](https://tex.z-dn.net/?f=65%3D%288%2Bh%29%5Ctimes%20h%5C%5C%5C%5C65%3D8h%2Bh%5E2%5C%5C%5C%5Ch%5E2%2B8h-65%3D0%5C%5C%5C%5C%28h-5%29%28h%2B13%29%3D0%5C%5C%5C%5Ch%3D5%5C%20m%5C%20%5Ctext%7Band%7D%5C%20x%3D-13%5C%20m)
Neglecting negative value, h = 15 m
Base = 8+15 = 23 m
So, the base and height of the rectangle is 23 m and 15 m respectively.
Answer:
Easy, you just get those blue dots and draw over the selected areas
Step-by-step explanation:
Do what i said above
There are 45 red marbles in the jar.
Step-by-step explanation:
Given
Total marbles = 125
Percentage of green marbles = 4%
![Green\ marbles = 125 * \frac{4}{100}\\= 125*0.04\\=5](https://tex.z-dn.net/?f=Green%5C%20marbles%20%3D%20125%20%2A%20%5Cfrac%7B4%7D%7B100%7D%5C%5C%3D%20125%2A0.04%5C%5C%3D5)
Percentage of blue marbles = 60%
![Blue\ marbles = 125 * \frac{60}{100}\\= 125*0.60\\= 75](https://tex.z-dn.net/?f=Blue%5C%20marbles%20%3D%20125%20%2A%20%5Cfrac%7B60%7D%7B100%7D%5C%5C%3D%20125%2A0.60%5C%5C%3D%2075)
So,
![Red\ marbles = Total\ marbles -Green\ Marbles-Blue\ Marbles\\= 125 - 5-75\\=125-80\\=45](https://tex.z-dn.net/?f=Red%5C%20marbles%20%3D%20Total%5C%20marbles%20-Green%5C%20Marbles-Blue%5C%20Marbles%5C%5C%3D%20125%20-%205-75%5C%5C%3D125-80%5C%5C%3D45)
There are 45 red marbles in the jar.
Keywords: Percentage, percent
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