Valus of m is :m+2m-6= -12+2m

Answers

Answer 1

Answer: m + 2m - 6 = -12 + 2m
3m - 6 = -12 + 2m
      +6     +6
--------------------------------
3m = -6 + 2m
-2m       -2m
-----------------------
1m = -6
/1      /1

m = -6

Answer 2

Answer: To find the value of the variable m;

m + 2m - 6 = -12 + 2m
3m - 6 = -12 + 2m (combined like terms)
3m - 2m - 6 = -12 + 2m - 2m (subtracted 2m on both sides)
m - 6 + 6 = -12 + 6 ( added 6 on both sides)
m = -6
Hope this helps :)

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The scale on a map stated that 1 cm corresponds to 30 kilometers. On the map, two cities are 1.6cm apart.

Answers

Answer:

48 kilometers.

Step-by-step explanation:

We have been given that the scale on a map stated that 1 cm corresponds to 30 kilometers.

Let us find the actual distance between two points, which are 1.6 cm apart on the map by multiplying 1.6 by 30.

$\text{Distance between two cities}=30* 1.6$

$\text{Distance between two cities}=48$

Therefore, the two cities are 48 kilometers apart.

Mr. López teaches his classes how to make maraca instruments by filling plastic eggshells with dried beans Mr. López uses the equation p= 0.75n to find the number of pounds, p, of beans needed for “n” classes.What is the constant of proportionality between p and n?

Pleaseee I need it
Thank you

Answers

The constant of proportionality between p (pounds of beans) and n (number of classes) in the equation p = 0.75n is 0.75. In this equation, 0.75 represents the ratio of the number of pounds of beans (p) to the number of classes (n). It tells you that for each class, 0.75 pounds of beans are needed, making it the constant of proportionality.

State two numbers such that the lesser number is 25% less than the greater number.

Answers

75 and 100.

It is 25% lesser because if you subtract 75 and 100 from each other, you get 25.

Another pair would be 8 and 6 because 6 is 2 less than 8 and 2 is 25% of 8

Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a number only)

Answers

Given:

Area of a square frame = 81 square inches.

To find:

Perimeter of the frame.

Solution:

Let length of each side of the frame = a inches.

Area of square frame is

$Area=a^2$

$81=a^2$

Taking square root on both sides,

$\pm√(81)=a$

$\pm 9=a$

Side length cannot be negative. So, a=9 inches.

Perimeter of frame is

$Perimeter=4a$

$Perimeter=4(9)$

$Perimeter=36$

Therefore, the perimeter is 36 inches.

Final answer:

The perimeter of the frame is 36 inches.

Explanation:

To find the perimeter of a square, we need to know the length of its sides. Since the area of the frame is given as 81 square inches, we can find the length of one side by taking the square root of the area. The square root of 81 is 9, so each side of the frame measures 9 inches.

Since a square has four equal sides, we can find the perimeter by multiplying the length of one side by 4. Therefore, the perimeter of the frame is 9 inches x 4 = 36 inches.

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If b = 1/2x −1/y, then what is an expression for 2/b in terms of x and y?

Answers

Final answer:

After rearranging the given formula to put b on one side, we found the reciprocal of b to be 1/b = 2y/(y-2x). Multiplying by 2 gives 2/b = 4y/(y-2x) in terms of x and y.

Explanation:

To find an expression for 2/b in terms of x and y, let's first rearrange the question's provided formula, b = 1/2x - 1/y, to express b on one side of the equation. This rearrangement allows us to then find the reciprocal of b, which is 1/b. Following that, we can multiply 1/b by 2 in order to give us the expression for 2/b.

With our initial formula, b = 1/2x - 1/y, if we multiply each term by 2y, the formula then becomes 2yb = y - 2x. Rearranging this formula gives us b = (y-2x)/2y. Once we have our rearranged formula, we can find the reciprocal of b, which is 1/b. Therefore, 1/b = 2y/(y-2x).

Finally, to find our desired expression, the expression of 2/b in terms of x and y, we multiply our expression of 1/b by 2, resulting in: 2/b = 4y/(y-2x).

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