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2 years ago

Solve for x: 3x – 2(6 - x) = 7x + 2(5 + x) – 6

Mathematics

1 answer:

MAVERICK [17]2 years ago

4 0

Answer:

-4

Step-by-step explanation:

3x-2(6-x)=7x+2(5+x)-6

First, distribute.

3x+ −12+ 2x = 7x + 10 + 2x −6

Combine like terms on each side.

5x − 12= 9x + 4

To solve for x, pick a side to solve. I will solve the right x.

5x - 12 = 9x + 4

-5x -5x

-12 = 4x + 4

Subtract 4 to isolate the variable.

-16 = 4x

Divide 4.

-4 = x

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Find the surface area of the composite figure

nataly862011 [7]

solution given:

For Cuboid

length[l]=11mm

breadth [b]=9mm

height[h]=6mm

For semi cylinder

height[H]=11mm

radius[r]= $\frac{9}{2}=4.5mm$

Now

Totalsurface area=2(lb+bh+lh)+½(2πr(r+H))-l*b[/tex]

:2(11*9+9*6+11*6)+22/7*4.5(4.5+11)-11*9

:438+219.2-99

:558.2mm²

Here area of base is subtracted as it is not included.

Total surface area of composite figure is :558.2mm².

8 0

3 years ago

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If 80% of a number is 20, what is 20% of the number?

Vlad1618 [11]

Answer: 5

Step-by-step explanation:

20/4=5 which is 20%

5*5=25 which is the number

20% of the number is

100/20=5

25/5=5

5 0

2 years ago

Surface area of this cone

Furkat [3]

Answer:

1041.27

Step-by-step explanation:

A=πrl+πr2

l=r2+h2

Solving forA

A=πr(r+h2+r2)=π·12·(12+102+122)≈1041.26829

6 0

3 years ago

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What is the value of x in theequation 2.5 (6x - 4) = 10 + 4 (1.5 +0.5 x)?

Zarrin [17]

Answer:

x = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

2.5(6x−4)=10+4(1.5+0.5x)

Step 1: Simplify both sides of the equation.

2.5(6x−4)=10+4(1.5+0.5x)

(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)

15x+−10=10+6+2x

15x−10=(2x)+(10+6)(Combine Like Terms)

15x−10=2x+16

Step 2: Subtract 2x from both sides.

15x−10−2x=2x+16−2x

13x−10=16

Step 3: Add 10 to both sides.

13x−10+10=16+10

13x=26

Step 4: Divide both sides by 13.

x=2

5 0

2 years ago

Which equation represents the line that passes through the points (–3, 7) and (9, –1)?

galben [10]

Answer:

Step-by-step explanation:

first, we find the slope

slope = (y2 - y1) / (x2 - x1)

(-3,7)....x1 = -3 and y1 = 7

(9,-1)...x2 = 9 and y2 = -1

now we sub

slope(m) = (-1 - 7) / (9 - (-3) = -8 / (9 + 3) = -8 / 12 reduces to - 2/3

y = mx + b

slope(m) = -2/3

use either of ur points...I will use (-3,7)...x = -3 and y = 7

now we sub and find b, the y intercept

7 = -2/3(-3) + b

7 = 2 + b

7 - 2 = b

5 = b

so ur equation is : y = -2/3x + 5 <===

7 0

3 years ago

Read 2 more answers