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ziro4ka [17]
3 years ago
11

There are 60 tables in a restaurant, with 25% of them seating 2 people. The tables remaining seat 4 people. How many seats are t

here in the restaurant?
Mathematics
1 answer:
matrenka [14]3 years ago
5 0
60 x .25 = 15 seat 2 people each.
60 - 15 = 45 remaining tables seat 4 people each.
15 x 2 = 30
45 x 4 = 180
180 + 30 = 210 seats
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What is an equation of the line that passes through the points (-6, -2) and
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Answer:

The equation of line is: \mathbf{4x-3y=-18}

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-6,y_1=-2, x_2=-3, y_2=2

Putting values and finding slope

Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}

So, we get slope: m=\frac{4}{3}

Finding y-intercept

Using point (-6,-2) and slope m=\frac{4}{3} we can find y-intercept

y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope m=\frac{4}{3} and y-intercept b = 6 is

y=mx+b\\y=\frac{4}{3}x+6

Now transforming in fully reduced form:

y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18

So, the equation of line is: \mathbf{4x-3y=-18}

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2 years ago
Line l is a perpendicular bisector of line segment A C. It intersects line segment A C at point B. Line l also contains points D
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Answer:

First one is DC

Second one is AB.

Step-by-step explanation:

Just did them on edge.

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algol13

Answer:

Step-by-step explanation:

A = 25% of 16 ==\frac{25}{100}*8=\frac{1}{4}*8=2

Selling price after reduction = 16 - 2 = $14

B= 25% of 14

=\frac{25}{100}*14=\frac{1}{4}*14=\frac{7}{2}

= 3.5

Selling price = 14 - 3.5 = $10.5

C = 25% of 10.5

=\frac{25}{100}*10.5=\frac{10.5}{4}

= 2.625 = $ 2.63

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Answer:

The System of inequality is ,

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The system has no solution.

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