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neonofarm [45]
4 years ago
11

Solve the equation. 2m/3-1=3/4+m (please show work)

Mathematics
1 answer:
alexdok [17]4 years ago
3 0
The first step is to get the variable on both sides, do this by subtracting m.

This leaves you with 2m/3 -1 -m = 3/4

Then multiply by 3 on both sides to eliminate the fraction.

This leaves you with 2m-3-3m = 9/4

Then isolate the variable by adding 3 to both sides.

This leaves you with 2m-3m = 3 9/4

This can simplify into -m = 5 1/4 or 21/4

Multiply by -1 to keep the variable positive

The final answer is m = -21/4 (or -5 1/4, your choice)
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Help please ! Please
gizmo_the_mogwai [7]

Answer:

15, 8, 25 The teacher payed 0.40 per book.

Step-by-step explanation:

4/10 = 2/5 Simplify the 4/10 to find the unit rate.

15: 2/5 = 6/x Set up your proportion.

    2x   =30 Cross multiply

    /2      /2 Divide both sides by 2 to isolate x

     x     =15

8: 2/5 = x/20 Set up proportion

   40  =5x Cross multiply

    /5     /5 Divide both sides by 5 to isolate x

     8  =x

25: 2/5 = 10/x Set up proportion

      2x  =50 Cross multiply

       /2     /2 Divide both sides by 2 to isolate x

        x   =25

Graph: y=mx+b To graph, you will need to use y=mx+b format

           y= 2/5 x+2 2/5 is your unit rate. Your rate changes every 2 books bought. To graph, start at (0,2) and go up 2 and to the right 5, plot. Continue moving up 2 and to the right 5 to graph.

The teacher payed 0.40 per book because 2/5 simplifies to 0.40.

   

8 0
3 years ago
10. Two lighthouses are located on a north-south line.
Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

\mathbf{\angle A = 180^o - 120^o\ 43'}

Convert to degrees

\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}

\mathbf{\angle A = 180^o - (120^o +0.717^o)}

\mathbf{\angle A = 180^o - (120.717^o)}

\mathbf{\angle A = 59.283^o}

\mathbf{\angle B = 39^o43'}

Convert to degrees

\mathbf{\angle B = 39^o + \frac{43}{60}^o}

\mathbf{\angle B = 39^o + 0.717^o}

\mathbf{\angle B = 39.717^o}

So, the measure of angle S is:

\mathbf{\angle S = 180 - \angle A - \angle B} ---- Sum of angles in a triangle

\mathbf{\angle S = 180 - 59.283 - 39.717}

\mathbf{\angle S = 81}

The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

Where:

\mathbf{AS = 3742}

So, we have:

\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

5 0
2 years ago
A large beach ball has a diameter of 36 inches.what is the approximate volume of the beach ball?
Sphinxa [80]
Because a beach volleyball is a sphere, so the volume formula is V= 4pi r^3/r
so the answer would be <span>24,429.024 </span>
8 0
3 years ago
Read 2 more answers
What is the answer below <br><br> 23x56
pshichka [43]
The answer would be 1,288.

23x56=1,288
7 0
3 years ago
A delivery truck drove42 miles per hour. It took 3 hours to travel between two towns. What is the distance between the two​ town
Naily [24]
The distance between the towns is 126 miles
7 0
2 years ago
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