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Mrrafil [7]
2 years ago
13

What value of x makes this equation true? 5x+3=2x-3

Mathematics
2 answers:
zmey [24]2 years ago
6 0
<h3>hello!</h3>

Let's solve this equation.

Step 1

Move the numbers to the right:-

5x=2x-3-3

Step 2

Move the x's to the left

5x-2x=-3-3

Notice I use the opposite operation :)

Step 3

Combine like terms

3x=-6x

Step 4

Divide both sides by 3

x=-2

That's the value of x that makes the equation true.

<h3>note:-</h3>

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Tom [10]2 years ago
3 0

Answer:

-2

Step-by-step explanation:

5x+3 = 2x -3 \\\\\implies 5x -2x = -3 -3\\\\\implies 3x = -6\\\\\implies x = -\dfrac 63   =-2

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A boat is heading towards a lighthouse, where Luis is watching from a vertical distance of 107 feet above the water. Luis measur
Crazy boy [7]

Using the slope concept, it is found that the distance from point A to point B is of 465 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

To find the horizontal position at point A, we have that:

tan(10º) = 107/dA

dA = 107/tan(10º)

dA = 607.

For the horizontal position at point B, we have that:

tan(37º) = 107/dB

dB = 107/tan(37º)

dB = 142.

Hence the distance is given by:

D = dA - dB = 607 - 142 = 465.

More can be learned about the slope concept at brainly.com/question/18090623

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6 0
2 years ago
4 more than one third of a number n is 6. An equation is? The solution is n =?
harkovskaia [24]

Answer:

 \frac{1}{3}n  + 4  = 6  

6

Step-by-step explanation:

Given problem:

      4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number  = ?

Solution:

 let the number  = n

So, 4 more than one third of a number;

  One third of n = \frac{1}{3}n

  4 more;

                \frac{1}{3}n  + 4

   is 6;

             \frac{1}{3}n  + 4  = 6   (equation of the expression)

Let us now solve the equation:

                         \frac{1}{3}n  + 4  = 6  

                    \frac{1}{3}n = 6 - 4

                   \frac{1}{3}n = 2

                     n = 6

5 0
3 years ago
A knife is three times the cost of a spoon. 9 spoons and 12 knifes cost ?82.80 workout the cost of 1 knife.
tankabanditka [31]

Let S = spoon

Let K = knife


1 knife is thee times the cost of a spoon, so it would be 3S

Now you have 9S + 12K = 82.80

We can replace the K with 3S:

9S +12(3S) = 82.80

Simplify the left side:

9S + 36S = 82.80

Add:

45S = 82.80

Divide both sides by 45"

S = 82.80 / 45

S = 1.84

One spoon cost $1.84


We know one knife cost 3 times as much, so multiply the cost of a spoon by 3:

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3 years ago
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kiruha [24]
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3 years ago
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What is the y intercept of 60x+55y=660 [with work shown]
adelina 88 [10]

Answer:

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Step-by-step explanation:

to find the y intercept, set y to 0.

60x + 55y = 660

60x + 55 * 0 = 660

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60x/60 = 660/60

x = 11

y intercept is (11, 0)

4 0
3 years ago
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