<span>3x+30+6=3x+36</span>
<span>⇒3x+36=3x+36</span>
<span>⇒3x−3x=36−36</span>
<span>⇒0⋅x=0
</span>infinite solutions of <span>x </span><span> for all </span><span> x∈<span>R
</span></span>
Answer:
m=5
Step-by-step explanation:
We can solve this by using a system of equations. The easiest way to solve this is by using substitution.
3m=19-n Subtract both sides by 19 to find n.
<u>-19 -19</u>
3m-19=-n Divide everything by -1 to make n positive.
<u>/-1 /-1</u>
n=-3m+19
Now, we can substitute n into the second equation.
2m+5(-3m+19)=30 Substitute (-3m+19) into n.
2m-15m+95=30 Simplify.
-13m+95=30 Simplify and subtract both sides by 95.
<u>-95 -95</u>
-13m=-65 Divide both sides by -13.
<u>/-13 /-13</u>
m=5
We don't need to solve for n at all, so that is the answer!
Hope this helps, and have an amazing day ♥
The fraction of the remaining marbles in the bag will be blue is 6/17.
<h3>What fraction of the remaining marbles in the bag will be blue?</h3>
The first step is to determine the initial number of marbles in the bag:
Initial number of red marbles in the bag : (5/8) x 240 = 150
Initial number of blue marbles in the bag : (2/8) x 240 = 60
Initial number of green marbles in the bag : 240 - 150 - 60 = 30
Number of red marbles remaining after 1/3 is removed = (1 - 1/3) x 150
2/3 x 150 = 100
Number of green marbles remaining after 2/3 is removed = (1 - 2/3) x 30
1/3 x 30 = 10
Total number of marbles now in the bag : 100 + 10 + 60 = 170
Fraction of blue marbles = 60 / 170 = 6/17
To learn more about ratios, please check: brainly.com/question/9194979
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Answer:
See attached
Step-by-step explanation:
13450 = 13000 + 400 + 50
- 13*1000 = 13 large cubes
- 4*100 = 4 flats
- 5*10 = 5 longs
Answer:
4
Step-by-step explanation:
4x+5+3x-2=31
7x+3=31
7x=28
x=4