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3 years ago

There are 785 people seated in a large cafeteria. Six people can sit at each table. How many tables are in the cafeteria?

1 answer:

5 0

If their are 785 people settled in a large cafeteria and 6 people are seated at one table you would get 785-6 and get 779 tables in a cafeteria.

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I need help on solving these problems.

ira [324]

Answer:

the fist one is A and the second one is D

Step-by-step explanation:

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3 years ago

Ancy

iris [78.8K]

Answer: 18:6

Step-by-step explanation:

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3 years ago

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule

Sergeeva-Olga [200]

Answer:

First term: 5

Fourth term: 5 1/2

Tenth term: 6 1/2

Step-by-step explanation:

Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:

A(n) = 5 + (n-1) (1/6)

First term:

A(1) = 5 + (1-1) (1/6)

A(1) = 5 + (0) (1/6)

A(1) = 5

Fourth term:

A(4) = 5 + (4-1) (1/6)

A(4) = 5 + (3) (1/6)

A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)

Tenth term:

A(10) = 5 + (10-1) (1/6)

A(10) = 5 + (9) (1/6)

A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)

5 0

3 years ago

Solve the equation:<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B21%20-%204x%7D%7B9%7D" id="TexFormula1" title="\frac{21 - 4x

schepotkina [342]

Answer:

$x = -\frac{12}{5}$

Step-by-step explanation:

To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.

1) Multiply both sides by 9 to get rid of the fractions.

$\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\$

2) Distribute the 3 to 8x and 15. Then, combine like terms.

$21-4x + 24x + 45 = 18 \\66 + 20x = 18$

3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.

$20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}$

Thus, $x = -\frac{12}{5}$ .

3 0

3 years ago

Find the point at which the line joining the two points (-3,-5) and (7,5) cuts they y axis

8090 [49]

Answer:

(0,-2)

Step-by-step explanation:

First we find the equation of the line passes through $(-3,-5)$ and $(7,5)$ .

The slope of the line is

$m=\frac{5-(-5)}{7-(-3)}\\=\frac{10}{10}\\=1$

So by the point slope formula the equation of the line is

$y-5=1(x-7)\\y=x-7+5\\y=x-2$

When $x=0$ we have $y=0-2=-2$ .

Therefore the line joining the two points cuts the y-axis at (0,-2).

4 0

3 years ago