Multiply both sides by 12, Move constant to the right hand side and change its sign, Move variable to the left hand side and change its sign, collect like terms, divide both sides of the equation by -73, x=-63/73 (- 63 over 73)

6 0

4 years ago

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What is the basic ratio for 20:50

NeX [460]

20÷10= 2
50÷10= 5
ratio is2:5

7 0

3 years ago

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Rina draws a plan of her school on a coordinate grid. She plots the school gate at point p(-8,-1) and the library at point Q(2,5

natka813 [3]

Answer:

The coordinates of the science lab is:

x = -14/3 , y = 1

Step-by-step explanation:

∵ P is (-8 , -1) and Q is (2 , 5)

∵ The point of the science lab is (x , y)

∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)

∴ $x=\frac{m_{1}x_{p}+m_{2}x_{q}}{m_{1}+m_{2}}$

∴ $y=\frac{m_{1}y_{p}+m_{2}y_{q}}{m_{1}+m_{2}}$

∴ $x=\frac{2(-8)+1(2)}{1+2}=\frac{-14}{3}$

∴ $y=\frac{2(-1)+1(5)}{2+1}=\frac{3}{3}=1$

∴ The point of science lab = (-14/3 , 1)

5 0

3 years ago

Amy hikes down a slope to a lake that is 10.2 meters below the trail. Then Amy jumps into the lake, and swims 1.5 meters down. S

Grace [21]

she went down the slope 10.2 meters, -10.2

then she jumped down to the lake 1.5 meters, -1.5

-10.2 - 1.5 = -11.7 meters.

so she pretty much went 11.7 meters down from her original location.

7 0

4 years ago

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