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Svet_ta [14]
2 years ago
5

What is the justification for the step taken from line 2 to line 3?

Mathematics
1 answer:
natima [27]2 years ago
5 0

Answer:

They subtracted 2x from both sides.

Step-by-step explanation:

They removed 2x from each side because in order to find x it will have to be removed on one side. Since 2x - 2x = 0 it is 2x is out of the equation for the right side and on the left side -2x -(-4x) = -6x which means that there is one x variable left in the equation thus making it solvable.

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Five rectangles are arranged from the least to the greatest area and named A, B, C, D, and E in order of increasing area. All di
Hatshy [7]

Given that median area is 15 square units.

Hence rectangle C in the middle has 15 square units.

Its dimensions can be width= 5 and length = 3

SInce B is smaller than C and has the same length, B has lengh of 3 with area = 9 sq units.

D has the same perimeter = 16 units.  Since D is a square, side of D = 4 units.

Now D and E have the same length.  Hence length of E = 4 units.

Width of E = width of C = 5 units.Thus makes the area of E as 20 sq units.

Rectangle A has length =3 and width can be less than 3 since area is smaller than B.

so A has length= 3 width = 2 with area = 6 sq units.

8 0
2 years ago
A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have
likoan [24]

72 is the minimum grade he must get on the last test in order to have an average of 77.

<u>Step-by-step explanation:</u>

The grades of a student are given 72,91,78,72 and the grade of his last test is not given.

  • You have to find the minimum grade the student shall get, so that the student average must be 77.
  • The four grades are already given. Therefore, we need to find only the fifth grade.

The term average is defined as the sum of all the data in a set divided by the number of data in a set.

Here, the number of data is 5. (Because the students has 4 grades plus one grade for his last test).

The average he should get is 77.

Average = Sum of all grades / number of grades

Let, 'x' be the grade of the last test.

⇒ 77 = (72+91+78+72+x) / 5

⇒ 77 = (313+x) / 5

⇒ 385 = 313 + x

⇒ x = 385 - 313

⇒ x = 72

The minimum grade he must get on the last test is 72.

5 0
3 years ago
I need help what is the answer?
Shalnov [3]

Answer:

#3

Step-by-step explanation:

5 0
3 years ago
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-47 = x + 15
Rearrange it to isolate x:
-47 - 15 = x
-62 = x
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3 years ago
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