MATHEMATICS MIDDLE SCHOOL

Solve for x: 7(x - 2) = 5(x + 4)

Answers

Answer 1
Answer:

Answer:

7(x-2)=5(x+4)

7x-14=5x+20

7x-5x=20+14

2x=34

x=17
Answer 2
Answer:

7(x - 2) = 5(x + 4)

Multiply the first bracket by 7

(7)(x)=7x

(7)(-2)=-14

Multiply the second bracket by 5

(5)(x)=5x

(5)(4)=20

7x-14=5x+20

Move 5x to the other side. Sign changes from -5x to +5x.

7x-5x-14=5x-5x+20

7x-5x-14=20

2x-14=20

2x-14+14=20+14

2x=34

Divide both sides by 2

2x/2=34/2

Answer: x=17

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Write 4 equivalent expressions to 5n + 15n

Answers

The equations can be anything as long if it is equal to 20n.
So here are some:
6n+14n
7n+13n
8n+12n
9n+11n
10n+10n
As you can see, they all equal to 20n
~JZ
Hope I helped
19n+n
16n+4n
13n+7n
30n-10n

What is the volume?

Plzzz help

Answers

Answer:

618.75 yd

Step-by-step explanation:

12 3/8 = 12.375

12.375 X 10 X 5 = 618.75

The area of a soccer field is 7,700 yd2. The width of the field is 70 yd. What is the perimeter of the field?

Answers

Answer:

Perimeter = 360yd

Step-by-step explanation:

Soccer field is rectangular in shape

Area of a rectangle = length x width

Area= 7700yd

Width = 70yd

Therefore

Let y represent length

7700 = y x 70

y = 7700/70

y = 110

Length = 110yd

Perimeter of a rectangle = 2(L + W)

Perimeter = 2(110 + 70)

= 2 (180)

Perimeter = 360yd
it would be 110 + 110 + 70 +70 which equals 360

i need this ASAP Steve’s score in a card game is 5 points away from zero. Denia’s score is the opposite of Steve’s and is a positive value. What is Denia’s score?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

cause 5 away from 0 could be -5 or 5 but because hers is a positive value it is 5

The mean of a set of data is 45 years. Find the missing numbers in the data set {40, 45, 48, ?, 54, ?, 45}. Explain the method or strategy you used.

Answers

There are 7 numbers.  7 X 45 equals 315.  40+45+48+54+45=232.
315-232=83.

The 2 numbers can each have different values, such as 41 and 42, or 40 and 43.  The numbers must add up to 83, though.

What is the area of the figure?

_____ cm^2

Answers

You can find the area of this figure by finding the area of the square and then the area of the triangle. Once you find these 2 areas then add them together.

For the area of the square:
A= b x h
A = 4 cm x 6 cm
A = 24 cm²

For the area of the triangle:
A = b x h/2
A = 3 cm x 6 cm/2
A = 9 cm²

Total area = 24 cm² + 9cm²
Total area = 33 cm²
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