Step-by-step explanation:
6x-2 = 4x-6
2x+4= 0
x= -2
Answer:
it matters how many colors are there
Answer: 125 Red Cars
6:5 = 275; Write as equation by adding a variable to the ratio:
6x + 5x = 275; add
11x = 275; divide
x = 25; put 25 in for “5x,” which represents the ratio 5 for red cars
5(x) = 5(25) = 125
Check:
6(25) + 5(25) = 275; multiply
150 + 125 = 275; add
275 = 275; is true so answer is right.
Answer:
Option (B)
Step-by-step explanation:
In the figure attached,
A straight line is passing through two points (0, 2) and (3, 1).
Slope of this line (
) = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
= ![\frac{2-1}{0-3}](https://tex.z-dn.net/?f=%5Cfrac%7B2-1%7D%7B0-3%7D)
= ![-\frac{1}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7D)
Let the slope of a parallel to the line given in the graph = ![m_2](https://tex.z-dn.net/?f=m_2)
By the property of parallel lines,
![m_1=m_2](https://tex.z-dn.net/?f=m_1%3Dm_2)
![m_2=-\frac{1}{3}](https://tex.z-dn.net/?f=m_2%3D-%5Cfrac%7B1%7D%7B3%7D)
Equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of the parallel line which passes through (-3, 0) and having slope =
will be,
![y-0=-\frac{1}{3}(x+3)](https://tex.z-dn.net/?f=y-0%3D-%5Cfrac%7B1%7D%7B3%7D%28x%2B3%29)
![y=-\frac{1}{3}x-1](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx-1)
Option (B). will be the answer.
Step-by-step explanation:
(5.6) × 1/8
![(5.6) \cdot \frac{1}{8}](https://tex.z-dn.net/?f=%285.6%29%20%20%5Ccdot%20%20%20%5Cfrac%7B1%7D%7B8%7D)
Here the unit fraction is 1/8
multiply 5.6 times 1
so its 5.6. then divide the decimal by 8
we know that 8 times 7 is 56
so 56 divide by 8 is 7
we have decimal point 1 number to the left
so we move decimal point 2 place left
Hence 5.6 divide by 8 is 0.7
![(5.6) \cdot \frac{1}{8}=0.7](https://tex.z-dn.net/?f=%285.6%29%20%20%5Ccdot%20%20%20%5Cfrac%7B1%7D%7B8%7D%3D0.7)
Answer: 0.7