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irina1246 [14]
3 years ago
5

Solve for x: 5(x-2)+7=65-4(5x-8) SHOW STEPS PLZZZZZZ HELP

Mathematics
2 answers:
miskamm [114]3 years ago
6 0

5(x-2)+7=65-4(5x-8)

We move all terms to the left:

5(x-2)+7-(65-4(5x-8))=0

We multiply parentheses

5x-(65-4(5x-8))-10+7=0

We calculate terms in parentheses: -(65-4(5x-8)), so:

65-4(5x-8)

determiningTheFunctionDomain

-4(5x-8)+65

We multiply parentheses

-20x+32+65

We add all the numbers together, and all the variables

-20x+97

Back to the equation:

-(-20x+97)

We add all the numbers together, and all the variables

5x-(-20x+97)-3=0

We get rid of parentheses

5x+20x-97-3=0

We add all the numbers together, and all the variables

25x-100=0

We move all terms containing x to the left, all other terms to the right

25x=100

x=100/25

x=4

NemiM [27]3 years ago
4 0

Answer:

x=4

Step-by-step explanation:

1) Expand each side: 5x-10+7=65-20x+32

2) Move x to one side: 25x-10+7=65+32

3) Move everything else to other side: 25x= 65+32+10-7

4) Simplify: 25x=100

5) Solve for x by dividing both sides by 25: x=4

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It takes a printer 2 1/2 min to print 24 black-and-white pages and 4 color pages. It takes the same printer 3 1/4 min to print 3
Paul [167]
Multiply the first equation by 1.5, to get:
(1.5)(24b + 4c) = 1.5(2.5)
36b + 6c = 3.75
Subtract the second equation from this:
6b = 1/2
b = 1/12
Substituting into the first equation:
24b + 4c = 2.5
24*(1/12) + 4c = 2.5
2 + 4c = 2.5
4c = 0.5
c = 1/8
Therefore, it takes 1/12 minute to print a black-and-white page, and 1/8 minute to print a colored page.
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3 years ago
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vesna_86 [32]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
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A lighthouse is located on a small island 5 km away from the nearest point P on a straight shoreline and its light makes seven r
Vaselesa [24]

Answer:

Light is moving at the speed = 77.78 km/min

Step-by-step explanation:

Given:

Distance between island and point P = 5 km

Moving along the the shoreline when it is 1 km from P.

So, x = 1

From the above statement light makes seven revolutions per minute.

Therefore,              

\frac{d\theta}{dt}=\frac{7\times 2\pi\ rad}{1\ min}  = 14\pi\ rad/min  

Solution:

From the given figure.

tan\theta=\frac{x}{5}

Substitute x = 1

tan\theta=\frac{1}{5}  -------------------(1)

Now, first we differentiate both side with respect to t.

\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})

Using chain rule.

\frac{d(tan\theta)}{dt}.\frac{d\theta}{dt}  = (\frac{1}{5})\frac{dx}{dt}

sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute tan\theta=\frac{1}{5} from equation 1.

(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+\frac{1}{9}).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute \frac{d\theta}{dt}=14\pi

\frac{10}{9}.14\pi  = \frac{1}{5}.\frac{dx}{dt}

Applying cross multiplication rule.

\frac{dx}{dt}= \frac{700\pi }{9}

\frac{dx}{dt}= 77.78\pi

Therefore, light is moving along the shore at the speed of 77.78 km/min

6 0
3 years ago
PLEASE HELP (x − 6)(3x + 4)
seraphim [82]

Answer:

3x^2 - 14x -24

Step-by-step explanation:

3x^2+4x-18x-24

3x^2 - 14x -24

5 0
2 years ago
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The width of a rectangle is half the length. the perimeter of the rectangle is 54 in. what is the length of the rectangle?
solmaris [256]
2(x +1/2x) = 54
3x = 54
x = 18
Length: 18
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