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3 years ago

A horizontal force of 20.8 N is applied to move a 425-kg cart a distance 0.636 m

Mathematics

1 answer:

juin [17]3 years ago

3 0

A work applied on the cart = 20.8x0.636

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When a number is increased by 8.2%, the result is 106. What is the original number to the nearest tenth?

ruslelena [56]

Answer:

Step-by-step explanation:

Let the original number = x

$x+\frac{8.2}{100}*x=106\\\\x+0.082x=106\\\\1.082x=106\\\\x=\frac{106}{1.082}\\\\x=\frac{106*1000}{1.082*1000}\\\\x=\frac{106000}{1082}\\\\x=97.96\\\\$

x=98.0

x=98

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3 years ago

Express 500 g as a percentage of 2.5 kg.

azamat

Answer:

500 grams is 20 percent of 2.5 kg

Step-by-step explanation:

500*100 = 50,000

50,000/2500=20

8 0

3 years ago

Read 2 more answers

Really need help guys!<br> Love you if you can solve them wiz steps!!!!

Marta_Voda [28]

Answer:

Step-by-step explanation:

$x^2+y^2-8x+4y+4=0\\\\a)\\\\x^2-8x+y^2+4y+4=0\\\\x^2-2*x*4+(y^2+2*y*2+2^2)=0\\\\x^2-2*x*4+4^2+(y+2)^2=4^2\\\\(x-4)^2+(y+2)^2=4^2\\$

Hence,

The radius of the circle is 4 units, coordinates of its centre are (4,-2).

$b)\\\\y=0\\x^2+0^2-8x+4*0+4=0\\x^2-8x+4=0\\a=1\ \ \ \ b=-8\ \ \ \ c=4\\D=(-8)^2-4*1*4\\D=64-14\\D=48\\\sqrt{D}=\sqrt{48} \\ \sqrt{D}=\sqrt{16*3} \\\sqrt{D}=\sqrt{4^2*3} \\\sqrt{D}=4\sqrt{3} \\\displaystyle\\x=\frac{-(-8)б4\sqrt{3} }{2*1} \\\\x=\frac{8б4\sqrt{3} }{2} \\x_1=4-2\sqrt{3} \\x_2=4+2\sqrt{3}$

$c)\\\\A(6,2\sqrt{3}-2)\\ (x-4)^2+(y+2)^2=4^2\\(6-4)^2+(2\sqrt{3} -2+2)^2=16\\2^2+(2\sqrt{3} )^2=16\\4+2^2*(\sqrt{3})^2=16\\ 4+4*3=16\\4+12=16\\16\equiv16$

$d)\\A(6,2\sqrt{3}-2)}\\\sqrt{3} x+3y=\\\sqrt{3}(6)+3(2\sqrt{3} -2)=\\ 6\sqrt{3}+6\sqrt{3} -6=\\ 12\sqrt{3}-6$

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2 years ago

Can someone solve this and show your work <br><br> g=6x<br> Solve for X

laila [671]

G = 6x

to solve for x divide both sides by 6

x = g/6

8 0

4 years ago

Mary and Gary had some stickers in the ratio 5:3. After Mary had given 1/3 of her stickers to Gary, the new ratio of the number

polet [3.4K]

The total number of stickers the 2 children had was 192 stickers.

Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.

x + y = z

x + y - z = 0 (1)

They shared in the ratio of 5:3, hence:

x = (5/8)z

8x - 5z = 0 (2)

Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.

(1/3)x = (1/3)(5/8)z = (5/24)z

y + (1/3)x = (2/3)x + 32

y - (1/3)x = 32 (3)

Solving equation 1, 2 and 3 gives:

x = 120, y = 72, z = 192

The total number of stickers the 2 children had was 192 stickers.

Find out more on equation at: brainly.com/question/13763238

6 0

2 years ago