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kirill115 [55]
3 years ago
12

Solve: negative 1 over 2x + 1 = −x + 8

Mathematics
1 answer:
marusya05 [52]3 years ago
8 0
Equation: -1/2x + 1 = -x + 8

Work:

-x/2 + 1 = -x + 8

1 - x/2 = -x + 8

1 - x/2 = 8 - x

2 - x = 16 - 2x

-x = 16 - 2x - 2

-x = 2x + 14

-x + 2x = 14

x = 14

Final Answer:

x = 14
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Black_prince [1.1K]

Answer:

A -$66.65

Step-by-step explanation:

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3 0
3 years ago
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What is the volume of this triangular prism? 313.6cm3 506.8cm3 5,676.16cm3 11,352.32cm3
lyudmila [28]

The question is incomplete. Here is the complete question:

What is the volume of this triangular prism?

Base length = 22.4 cm

Height = 18.1 cm

Length = 28 cm

A) 313.6 cm3

B) 506.8 cm3

C) 5,676.16 cm3

D) 11,352.32 cm3

Answer:

V=5,676.16\ cm^3

Step-by-step explanation:

Given:

The base of the prism is triangular with base length equal to 22.4 cm and height 18.1 cm. The length of the prism is 28 cm.

The volume of a triangular prism is defined by the formula:

V=(Area\ of\ base)\times (length)

Here, the base is triangular and the area of a triangle is:

A=\frac{1}{2}base \times height

Therefore,  the volume of the triangular prism is given as:

V=\frac{1}{2}(base\times height\times length)

Now, plug in the given values and solve for the volume 'V'.

V=\frac{1}{2}(22.4\ cm\times 18.1\ cm\times 28\ cm)\\\\V=\frac{1}{2}(11,352.32\ cm^3)\\\\V=5,676.16\ cm^3

Therefore, the correct answer is the third option.

V=5,676.16\ cm^3

7 0
3 years ago
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german

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3 years ago
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madam [21]

Answer:

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Step-by-step explanation:

Hope this was helpful

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Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

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form a quadratic equation on the right

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Factor easily to

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the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

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2 years ago
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