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aev [14]
3 years ago
5

X + 2 + x = 22 I need to show my work. Please help. No false answers please.

Mathematics
2 answers:
Minchanka [31]3 years ago
3 0
2x + 2 = 22
2x = 20
X = 10
katrin2010 [14]3 years ago
3 0

Answer:

x = 10

Step-by-step explanation:

First you need to add like terms (x + x), which would give you 2x.

2x + 2 = 22

Then subtract 2 from both sides, causing it to cancel out one side, and 22 - 2, on the other side:

2x + 2 = 22

      -2     -2

22 - 2 is 20, giving you:

2x = 20

Then divide both sides by 2:

2x/2 = 20/2

And you should get x = 10 as your answer.

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Point K is rotated 90°. The coordinate of the pre-image point K was (2, –6) and its image K’ is at the coordinate (−6, −2). Find
aalyn [17]

Answer:

A clockwise rotation.

Step-by-step explanation:

The rule for 90 degree clockwise rotation is (x,y) turns into (y,-x) therefore if you use your numbers (2,-6) and then use the 90 degree clockwise rotation rule it becomes (-6,-2)

5 0
3 years ago
25x^2+1=5 quadratic
Olenka [21]
25x² + 1 = 5

25x² + 1 - 5 = 0

25x²  - 4 = 0          By difference of two squares

(5x)² - (2)² = 0

(5x - 2)(5x + 2) = 0

5x - 2 = 0    or          5x + 2 = 0

5x = 0 + 2                5x = 0 - 2

5x = 2                      5x = -2 

x = 2/5                      x = -2/5

x = 0.4                      x = -0.4 
 

x = + 0.4  or -0.4
3 0
3 years ago
What is the area? Bit confused on this one.
Nutka1998 [239]

Answer:

A = 9x² + 12x

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = height × width

  = 3(3x² + 4x) ← distribute parenthesis by 3

   = 9x² + 12x

7 0
3 years ago
Read 2 more answers
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If
DIA [1.3K]

Answer:

28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands = 35\% \times 80 =\frac{35}{100} \times 80 =28

Blue Strands = 25%

No. of blue strands = 25\% \times 80 =\frac{25}{100} \times 80 =20

Red Strands = 40%

No. of Red strands = 40\% \times 80 =\frac{40}{100} \times 80 =32

Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

3 0
3 years ago
Read 2 more answers
*GEOMETRY*please help me find the surface area of the solid along with the volume of it step by step!
Serjik [45]

Surface area of the solid = 7.1781 in²

Volume of the solid = 0.804 in³

Explanation:

Surface area of the solid = surface area of the square prism - 2(base of the cylinder) + lateral surface of cylinder

surface area of a square prism = 2(lw + lh + wh)

l = length = 1 in

w = length = 1 in

h = height = 1 in

\begin{gathered} \text{Surface area = 2(1}\times1\text{ + 1}\times1\text{ + 1}\times1) \\ \text{Surface area = 2(1 + 1 + 1) = 2(3)} \\ \text{Surface area = 6 in }^2 \end{gathered}

using the value π as it is on the calculator

Base area of a cylinder = πr²

2(Base area of cylinder) = 2πr² = 2π(0.25)² = 0.3927

Lateral surface area = 2πrh = 2π(0.25)(1) = 1.5708

Surface area of the solid = 6 - 0.3927 + 1.5708

Surface area of the solid = 7.178 in²

Volume of the solid = Volume of the square prism - volume of the cylinder

Volume of square prism = length × width × height

length = 1 in, width = 1 in, height = 1 in

Volume of the solid = 1 in × 1 in × 1 in = 1 in³

Volume of a cylinder = πr²h

Volume of the cylinder = π × 0.25 × 0.25 × 1 = 0.196

Volume of the solid = 1 - 0.196

Volume of the solid = 0.804 in³

4 0
1 year ago
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