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ASHA 777 [7]
2 years ago
9

A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can se

at 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?
Mathematics
1 answer:
krok68 [10]2 years ago
8 0

Answer: 242 = 190 + 4t

Step-by-step explanation:

You know that the maximum capacity of the restaurant is 242 people, meaning that at most there can only be that many customers seated at that time. Normally, the equation would be 242 = 10b + 4t, but since you already know the number of booths, your work is cut in half, giving you 242 = 10(19) + 4t. The equation would be this because you have the capacity being equal to the number of tables x the number of people at each table and the number of booths x the number of people seated at each of them.

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A line with a slope of –2 passes through the point (–4, 8). What is the equation of the slope-intercept form?
zloy xaker [14]

Answer:

y= -2x

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Given that the slope is -2, m= -2.

subst. m= -2 into the equation:

y= -2x +c

To find the value of c, substitute a coordinate.

When x= -4, y=8,

8= -2(-4) +c

8= 8 +c (expand)

c= 8-8 (-8 on both sides)

c=0 (simplify)

Thus, the equation of the line is y= -2x.

8 0
3 years ago
What is the equation of a line that has a slope of 0 and goes through the point (4, 10)?
kompoz [17]

Answer:

y =10

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 0 and (x0, y0) = (4, 10)

On substituting;

y - 10 = 0(x-4)

y - 10 = 0

y = 0+10

y = 10

Hence the required equation of the line is y =10

4 0
2 years ago
Solve each equation.<br> Show all steps<br> 4) -8(-6-5k)=-232
Lubov Fominskaja [6]

the answer is k=4.6. hope this helps

6 0
3 years ago
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AVprozaik [17]

Answer:

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Step-by-step explanation:

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8 0
1 year ago
Please can someone help me with this question
sasho [114]

<em>Answer:</em>

<em>r = -</em>\frac{6a}{1-5m^2}<em />

<em>Step-by-step explanation:</em>

<em>Rewrite the equation as </em>\sqrt{x} 6a+r/5r<em>  = m</em>

<em>Remove the radical on the left side of the equation by squaring both sides of the equation.</em>

<em>(</em>\sqrt{\frac{6a+r}{5r} )^{2}<em> = m^2</em>

<em>Then, you simplify each of the equation. </em>

<em>Rewrite: (</em>\sqrt{\frac{6a+r}{5r} )^{2}<em> as </em>\frac{6a+r}{5r} = m^{2}<em />

<em>Remove any parentheses if needed.</em>

<em>Solve for r. </em>

<em>Multiply each term by r and simplify."</em>

<em>Multiply both sides of the equation by  5.</em>

<em>6a+r= m^2r⋅(5)</em>

<em>Remove parentheses.</em>

<em>Move 5   to the left of (m ^2)  r </em>

<em>6a+r=5m^2)r</em>

<em>Subtract  5m^2)r  from both sides of the equation.</em>

<em>6a+r-5m^2)r=0</em>

<em>Subtract  6a  from both sides of the equation.</em>

<em>r-5m^2)r=-6a</em>

<em>Factor  r out of  r-5m^2)r  </em>

<em>r(1-5m^2)=-6a</em>

Divide each term by 1-5m^2 and simplify.

r = - \frac{6a}{1-5m^2}

There you go, hope this helps!

4 0
3 years ago
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