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kherson [118]
3 years ago
15

Ralph is arranging a wedding reception. He can spend no more than $8000. It costs $6000 to rent the hall and $25 to feed each gu

est. Ralph needs to know how many guests, at most, can attend the reception. Write an inequality to represent this situation.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0

Answer:  

80 ≥ x

Step-by-step explanation:

So we know that he cannot spend more than $8000.

So we subtract 6000 from 8000

8000 - 6000 =2000

So that means<em> $2000 to feed each guest</em>

<em />

<em>We then divide the amount of money we have left by how much it costs to feed each guest.</em>

<em>2000÷25=80</em>

<em>So at most 80 guests will be able to attend. I'll use x to represent the amount of people that will attend the reception.</em>

<em>So </em><em>80 ≥ x</em>

If I am wrong please comment so that I can fix it.

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Which of the following lines is not parallel to the graph of y=4x+7. y-4x=9 4x-y=8 . 4y-x=8 8x-2y=8
DENIUS [597]

y = 4x + 7

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.

y - 4x = 9

y = 9 + 4x (add 4x to both sides)

y = 4x + 9 (switch the constant and x-term)

This line has a slope of 4.

4x - y = 8

-y = 8 - 4x (subtract 4x from both sides)

y = -8 + 4x (divide both sides by -1)

y = 4x - 8 (switch the constant and x-term)

This line has a slope of 4.

4y - x = 8

4y = 8 + x (add x to both sides)

y = 8/4 + x/4 (divide both sides by 4)

y = x/4 + 2 (simplify and switch constant and x-term)

This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.

Answer:

4y - x = 8

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3 years ago
I WILL MARK BRAINLIEST
vagabundo [1.1K]

Answer:

\frac{81}{m^7}

Step-by-step explanation:

We have a certain expression and are asked to find its equivalent with the answers provided :

(3m^{-4} )^3(3m^5)

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(3m^{-4} )^3*3m^5

Do the exponent rule for outside and inside exponent parenthesis :

(3m^{-4*3} )

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Apply addition exponent rule :

m^{-12} *3^{3+1} m^5

Add :

m^{-12} *3^4m^5

Apply the addition rule for -12 + 5 :

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Apply negative exponent rule for m^-7 :

3^4*\frac{1}{m^7}

Multiply the fractions :

\frac{1*3^4}{m^7}

\frac{81}{m^7}

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Answer:

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77julia77 [94]

Answer:

the constant of proportionality is 0.2 and it is a proportional relationship

Step-by-step explanation:

2 divided by 10 is 0.2

1 divided by 5 is 0.2

they have the same answer so they are proportional

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