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Alexxandr [17]
3 years ago
10

Solve for x: 8x - 2 - 5x = 8

Mathematics
2 answers:
Setler79 [48]3 years ago
8 0

Answer:

x=10/3

Step-by-step explanation:

8x-2-5x=8

then you group like terms=

8x-5x-2=8

add similar elements

3x-2=8

Add 2 to both sides

3x-2+2=8+2

Then lastly divide both sides by 3

3x/3=10/3

And you get 10/3

Travka [436]3 years ago
6 0

Answer:

3 1/3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = 10 /3

Decimal Form:

x = 3. 3 3

Mixed Number Form:

x  =  3  1/3

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Drake's Drugstore is getting ready for the upcoming summer season. The manager of the store wants to
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Answer:

22222222222222222 not 3 and not 1

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3 years ago
A half marathon is a distance of 13.1 miles. Your teachers decides to run a half marathon and it takes about 2 hours. What is th
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6.55

Step-by-step explanation:

divide 13.1 by the 2 hours your answer will be 6.55

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3 years ago
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Properties of operations​
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Answer:

There are four (4) basic properties of real numbers: namely; commutative, associative, distributive and identity. These properties only apply to the operations of addition and multiplication. That means subtraction and division do not have these properties built in.

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3 years ago
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The ubiquitous 12oz aluminum cans used to distribute drinks in this country have a diameter of approximately 2.75 inches and a h
gayaneshka [121]

Answer:

3.5%

Step-by-step explanation:

The volume of a cylinder = \pi r^2h

<em>r</em> = radius of cylinder,

<em>h</em> = height of cylinder

For the non-optimal can,

<em>r</em> = 2.75/2 = 1.375

<em>h</em> = 5.0

V = \pi(1.375^2)\times 5.0 = 9.453125\pi

<em />

For the optimal can,

<em>d</em>/<em>h</em> = 1,

<em>d</em> = <em>h</em>

2<em>r </em>=<em> h</em>

<em>r</em> = h/2

V = \pi\left(\dfrac{h}{2}\right)^2\times h = \pi\left(\dfrac{h^3}{4}\right)

They have the same volume.

<em />\pi\dfrac{h^3}{4} = 9.453125\pi<em />

h^3 = 37.8125

h=3.36 (This is the height of the optimal can)

r = \dfrac{3.36}{2} = 1.68 (This is the radius of the optimal can)

The area of a cylinder is

<em />A = 2\pi r(r+h)<em />

For the non-optimal can,

A = 2\pi\times\dfrac{2.75}{2}\left(\dfrac{2.75}{2}+5.0\right) = 17.53125\pi

For the optimal can,

A = 2\pi\times1.68\left(1.68+3.36\right) = 16.9344\pi

Amount of aluminum saved, as a percentage of the amount used to make the optimal cans = \dfrac{17.53125\pi - 16.9344\pi}{16.9344\pi}\times 100\% = 3.5\%

5 0
3 years ago
Help, please! This is due tomorrow evening! Show work, please! Will give brainliest!
Maru [420]

Answer:

h = height reached

-16 t^2 = 1/2 g t^2 where g = 32 ft/sec^2

v t = height due to original vertical speed v

s = initial height

1. -45 = -16 t^2 + 62 t + 0         measuring height from original height

solving quadratic

2. t = 4.5 sec

3. time to reach max height = v / g = 62/32 = 1.94 sec

H (above release point) = -16 (1.94^2) + 62 * 1.94 = 60 ft

4. 2 * 1.94 = 3.88    solved in part 3

5. 1.94   solved on part 3

Check:  time to fall 60 + 45 ft = 105 ft

105 = 1/2 g t^2

t = (210 / 32)^1/2 = 2.56 sec

total time = 2.56 * 1.94 = 4.5 sec     time to fall + rise time

-45 = -16 * 4.5^2 + 62 * 4.5

-45 = -324 + 279 = -45        checking time to reach -45 feet using given equation

4 0
2 years ago
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