MATHEMATICS HIGH SCHOOL

How do i find the answer to this problem? 2/6 x 24 = m working with fractions

Answers

Answer 1
Answer: Solve for m by simplifying both side of the equation,then isolating the variable.

M=8  
Hope that this helps :)

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Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify [Q - R] + [S - T]. 10m + 5n - 24 10m - 5n + 24 10m + 7n - 14 10m - 7n - 14
If you have complementary angles and one angle is 83°, what is the other angle?
Find the distance between (2, -75) and (10, 235).
Which fraction represents the ratio 9 to 6 in simplest form?(Points : 1)6 _93_29_21_6

Find the slope and y-intercept of the line
6x + 2y = –88

Answers

y=mx+b
6x+2y=-88
2y=-88-6x
y=-44-3x
y=-3x-44
m is the slope
b is the y-intercept

In a certain triangle, the measure of the largest angle is 20 degrees more than twice the measure of the smallest angle. Five times the measure of the smallest angle equals the sum of the measures of the other two angles. Find the measures of the three angles.

Answers

Let the medium angle be B degrees the small angle be A degrees the large angle be C degrees Then C = 2 B + 20 ..................X 5 B = A + C ..................Y Sum of all angles A + B + C = 180 .............Z Applying Y in Z 5 B + B = 180 6 B = 180 B = 30 From X C = 2 x 30 + 20 = 60 + 20 = 80 From Y 5 x 30 = A + 80 150 = A + 80 150 - 80 = A = 70 Hence medium angle B = 30 degrees the small angle A = 70 degrees the large angle C = 80 degrees

Final answer:

To solve the problem, we apply the properties of a triangle and make a system of linear equations. Setting up appropriate mathematical expressions for angles and solving the equation gives the angles as 30, 80 and 70 degrees.

Explanation:

This problem involves angles in a triangle and can be solved through linear equations. We know from the problem that the largest angle is 20 degrees more than twice the smallest angle, and 5 times the smallest angle equals the sum of the measures of the other two angles.

  1. Let's denote the smallest angle as x. Thus the largest angle becomes 2x + 20.
  2. The third angle, due to the property that the sum of angles in a triangle equals 180, would be 180 - x - (2x + 20).
  3. You can insert the expression of the third angle into the second equation from problem statement, which gives: 5x = x + 2x + 20. Solving this equation gives x = 30.
  4. Therefore, the angles are: 30 degrees, 2*30 + 20 = 80 degrees and 180 - 30 - 80 = 70 degrees.

Solution verification:

  • The sum of all angles is indeed 180 degrees.
  • The largest angle is indeed 20 degrees more than twice the smallest one.
  • Five times the smallest angle is indeed equal to the sum of the two other angles.

Learn more about Triangle Angles here:

brainly.com/question/36906039

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Paul has 15% of his gross pay directly deposited into a mutual fund account each month. If $630 is deposited each month, what is his monthly gross pay?

Answers

15% of gross = 630

0.15 G = 630

Divide each side by 0.15 :

G = 630/0.15 = $4,200

Which equations are true for x = –2 and x = 2? Check all that apply.A.x2 – 4 = 0
B.x2 = –4
C.3x2 + 12 = 0
D.4x2 = 16
E.2(x – 2)2 = 0

Answers

А. х²-4=0; х²=4; х=±2, true. B. x²=-4; there is no solution. C. 3x²+12=0; 3x²=-12; x²=-4; there is no solution. D. 4x²=16; x²=4; x=±2, true. E. 2(x-2)²=0; 2(x²-4x+4)=0; 2x²-8x+8=0; x²-4x+4=0; x1=2; x2=2. False. The answer: A, D.

A baseball travels 150 km/h. What does this measurement represent?a. time
b. speed
c. position
d. distance

Answers

This measurement represent a speed.
speed=distance/ time (Km/h, m/s...)-

Answer: b.speed.

Adam has £500 Beth has £130 Adam gives some money to Beth. He now has twice as much money as Beth. What percentage of his money did he give away?

Answers

Adam = £500
Beth = £130.

Let the money Adam gives Beth be x.

So Adam would have 500 -x.
Beth would then have  130 + x.

Adam now has twice as much as Beth.

     500 - x = 2*(130 + x)
     500 - x = 2*130 + 2*x
     500 - x = 260 + 2x
     - x - 2x  = 260 - 500
        -3x  = - 240

           x = -240/-3
           x    = 80

So Adam gave £80 to Beth.

To find the %:         (80 / 500) * 100%.      Use your calculator.

                                = 16 %.

So Adam gave away 16% of his money to Beth.      
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