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dexar [7]
2 years ago
4

A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represe

nt the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 12 large tables and 5 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (12, 5).
Mathematics
1 answer:
ruslelena [56]2 years ago
5 0

Answer:

A=0, 3, 6, 9, 12, 15

B=25, 20, 15, 10, 5, 0

Step-by-step explanation:

10*A + 6*B = 150

B=150/6 - (10 * A/ 6) = 25 - (5 * A / 3)

A should be one of the multiple of 3

A=0, 3, 6, 9, 12, 15

B=25, 20, 15, 10, 5, 0

Ans: (0, 25) or (3, 20) or (6, 15) or (9, 10) or (15, 0)

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Is 3.222222 a rational number
SIZIF [17.4K]

Answer:

<h2>YES</h2>

Step-by-step explanation:

If the number is rational, I can write it as a fraction in which the numerator and denominator are integers (denominator other than 0).

3.\underbrace{222222}_{6}=\dfrac{3222222}{1\underbrace{000000}_6}-\bold{RATIONAL}

If is repeating:

x=3.2222....       <em>multiply both sides by 10</em>

10x=32.2222...      <em>    make the difference 10x - x</em>

10x-x=32.2222...-3.2222...

9x=29             <em>divide both sides by 9</em>

x=\dfrac{29}{9}-\bold{RATIONAL}

4 0
2 years ago
Martinez Co. sells a machine that cost $10,000 with accumulated depreciation of $8,000 for $2,000 cash. The entry to record this
Sveta_85 [38]

Answer:

Step-by-step explanation:

8 0
2 years ago
An athlete signs a contract that guarantees a ​$ 9​-million salary 6 yr from now. Assuming that money can be invested at 6.7​% w
frozen [14]

Answer:

$6,020,826.711

Step-by-step explanation:

The computation of the present value of that year salary is shown below:

As we know that

Present value in case of continuous compounding, the formula is

= \frac{Guaranteed\ amount}{e^{0.067 \times 6}}

where,

The Guaranteed amount is $9,000,000

The Time period is 6 years

And, the interest rate is 6.7%

Now placing these values

So, the present value is

= \frac{\$9,000,000}{e^{0.067 \times 6}}

= $6,020,826.711

6 0
2 years ago
Tyler drew a figure that has two pairs of equal sides, four angles formed by perpendicular lines, and two pairs of parallel side
nexus9112 [7]

Answer:

A shape with two pairs of parallel lines, perpendicular lines, and two pairs of equal sides can be best described as a rectangle.

8 0
2 years ago
The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t^2 - 0.5t + 3.
Bingel [31]
The average rate of change (m) is the ratio of the change in function value to the width of the interval:
  m = (f(6) - f(2))/(6 - 2)

To compute this, we need to compute f(6) and f(2).
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  f(2) = (0.25*2 - 0.5)*2 +3.5 = 3.5
Then the average rate of change is
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The average rate of change is 1.5 thousand owners per year.
3 0
2 years ago
Read 2 more answers
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