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Andre45 [30]
3 years ago
6

A = 1/2(a+x)h solve for x

Mathematics
1 answer:
ankoles [38]3 years ago
7 0

For this case we have the following equation:

A = \frac {1} {2} (a + x) * h

We must clear the variable "x":

We multiply by 2 on both sides of the equation:

2A = (a + x) * h

We divide by h on both sides of the equation:

\frac {2A} {h} = a + x

We subtract "a" on both sides of the equation:\frac {2A} {h} -a = x

Answer:x = \frac {2A} {h} -a

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Coach Ellis surveyed a sample of students about their favorite sport. The circle graph below shows
CaHeK987 [17]

Answer:

C. 120 students

Step-by-step explanation:

10 + 15 + 20 +30 = 75%

100 - 75 = 25%

25% chose football which is 100 students

30% chose swimming

setup proportion:

25/100 = 30/x

25x = 100(30)

25x = 3000

x  = 120

4 0
2 years ago
solve this system of linear equations. Separate the X- and Y- values with a comma. -9x+2y=-16 19x+3y=41​
Serjik [45]

Answer:

(2, 1)

Step-by-step explanation:

The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method).  We will work to eliminate one of the variables.  Since the y values are smaller, let's work to get rid of those.  That means we have to have a positive and a negative of the same number so they cancel each other out.  We have a 2y and a 3y.  The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2.  BUT they have to cancel out, so one of those multipliers will have to be negative.  I made the 2 negative.  Multiplying in the 3 and the -2:

3(-9x + 2y = -16)--> -27x + 6y = -48

-2(19x + 3y = 41)--> -38x - 6y = -82

Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:

-65x = -130 so

x = 2

Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:

19(2) + 3y = 41 so

38 + 3y = 41 and

3y = 3.  Therefore,

y = 1

The solution set then is (2, 1)

6 0
3 years ago
Read 2 more answers
There are 4 semi- trailer truck park a line at the stop. After the first truck, each in the line weights 2 tons more than the tr
Anna11 [10]

Let's say the first truck weighs x tons

Then, the weight of 2nd truck = x+2 tons

The weight of 3rd truck = (x + 2) + 2 = x+4 tons

The weight of 4th truck = (x + 4) + 2 = x+6 tons

Total weight of 4 trucks:

x + (x+2) + (x+4) + (x+6) = 32

 

which can be solved easily to give x = 5

5 0
3 years ago
Solve for x<br> x^9=12^2x12^7
jekas [21]

Answer:

<h2>12</h2>

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

{x}^{9}  =  {12}^{2}  \times  {12}^{7}

Here we can simplify this further using this law,

{a}^{m}  \times {a}^{n} =  {a}^{m + n}

So we will get,

{x}^{9}  =  {12}^{7  + 2}  \\  {x}^{9} =  {12}^{9}

Since the powers are same we can cancel it out and we will get,

x = 12

(Hope this answer helped :))

4 0
3 years ago
Please Help ASAP!!
bogdanovich [222]

Answer:

The answer is 80 because 10x8 is 80 and the nearest 10 means it need to have a 0 behind so it is 80

7 0
2 years ago
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