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Olenka [21]
3 years ago
5

5 times a number subtracted from 12 is triple the number

Mathematics
1 answer:
nadezda [96]3 years ago
6 0
5x-12=3x

Let's solve your equation step-by-step.
<span><span><span>5x</span>−12</span>=<span>3x
</span></span>Step 1: Subtract 3x from both sides.
<span><span><span><span>5x</span>−12</span>−<span>3x</span></span>=<span><span>3x</span>−<span>3x
</span></span></span><span><span><span>2x</span>−12</span>=0
</span>Step 2: Add 12 to both sides.
<span><span><span><span>2x</span>−12</span>+12</span>=<span>0+12
</span></span><span><span>2x</span>=12
</span>Step 3: Divide both sides by 2.
<span><span><span>2x/</span>2</span>=<span>12/2

</span></span><span>x=<span>6</span></span>
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The graph below shows the solution to which system of inequalities?
nlexa [21]

Answer:

Option D.

Step-by-step explanation:

Consider option D. y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3

Take point (0,0)

On putting this point in inequation y\leq \frac{3x}{4}+10 , we get

0\leq 10 which is true . So, solution is region towards the origin i,e region below the line y= \frac{3x}{4}+10 including the line itself .

On putting (0,0) in inequation y\leq \frac{-x}{2}-3 , we get 0\leq -3 which is false , so solution is region away from the origin i.e region below line y= \frac{-x}{2}-3 including the line itself .

So, common solution to both the inequations is the shaded part in the given figure .

In other words, we can say that the graph shown in the given figure represents system of equations: y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3

5 0
3 years ago
A spotlight is aimed at an angle of 50° up
Sophie [7]
I don’t know the answer
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2 years ago
Malik wanted to make a cube frame out of a long wire 150 cm. If the volume of the cube is 2 197 cm³, is the length of the wire s
Rama09 [41]

Answer:

The wire is sufficient for making a cube of volume 2197 cm³

Step-by-step explanation:

Volume of cube = L³

Volume of the cube = 2197 cm³

Length of the wire = 150 cm

Let's see if the wire is sufficient for making a cube.

Volume of the cube that could be made from the wire is:

V = (L)³

V = (150)³

V = 3,375,000 cm³

So,

The volume of the cube using a 150 cm length wire is much more grater than 2197 cm³.

That is why, the wire is sufficient for making a cube of volume 2197 cm³.

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2 years ago
Which statements about the pattern are true?
skelet666 [1.2K]
All the correct answers are C and D.
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3 years ago
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