The value of g = 144 solved by using direct proportion.
<h3>
What is a direct proportion?</h3>
Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝.
Given that,
h = 
, j = 
, g = 4
g ∝ hj
g = khj
where k is a constant.
4 = k××
k = 24
Also given that,
g = ? , h =2, j = 3
g = khj
g = 24×2×3
g = 144
Hence, The value of g = 144.
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Answer: 56 purple marbles.
Step-by-step explanation:
Let be "p" the number of purple marbles in the bag and "w" the number of white marbles in the bag.
You can set up the following System of equations:
You can use the Substitution method to solve the System of equations. The steps are shown below:
1. You need to substitute the second equation into the first equation:
2. Now you must solve for "w":
3. Substitute the value of "w" into second original equation and then evaluate in order to find the value "p":
Answer:
So the Point of intersection is (-4,-2)
Which is option A
Step-by-step explanation:
The given system of equations is
-0.1x - 0.8y = 2 ...................(i)
0.6x - 0.5y = -1.4 ...................(ii)
Let us take equation (i) and use method of substitution for solving it
the equation (i) is
-0.1 x - 0.8y = 2
Adding 0.8y on both sides
-0.1 x + 0.8 y - 0.8 y = 2 + 0.8 y
-0.1 x = 2 + 0.8 y
Dividing both sides -0.1
x = -8 y - 20 ..........................(iii)
Now we will use this value and put it into equation (ii) to find the value of y
Equation (ii) is
0.6 x - 0.5 y = -1.4
Put value of x
0.6(-8 y - 20) - 0.5 y =-1.4
It becomes
-4.8 y - 12 - 0.5 y = -1.4
adding 12 on both sides
-4.8 y - 0.5 y - 12 + 12 = -1.4 + 12
it becomes by solving
-5.3 y = 10.6
Dividing both sides by -5.3
So
y = -2
Now we have the value of y putting it in equation (iii)
Equation (iii) is
x = -8 y - 20
Putting value of y
x = -8*(-2) - 20
x = 16-20
x=-4
So the Point of intersection is (-4,-2)
Hi there!
The answer is $140.
Could you please Brainliest me?
