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Solnce55 [7]
3 years ago
10

Max is a professional table organizer. For today’s event, he brought square tables. A single square table can seat 4 people, one

at each side, as in the first picture below. If Max joins 2 tables along a side, as in the picture, he can seat 6 people. How many people can Max seat with even more tables?
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

Answer:

The function would be 2(t)+2 where t is the number of tables. So, the answer in a form of a table would look like this:

Tables      People

1                4

2               6

3               8

4               10

5               12

Step-by-step explanation:

Khan Academy

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aksik [14]
1 out of 6 so 1/6. there are 6 numbers and you only have a one out of 6 chance to roll that specific number (7).
7 0
3 years ago
Rosa bought 1 pound of cashews and 2 pounds of peanuts for $10. At the same store, Sabrina bought 2 pounds of cashews and 1 poun
Valentin [98]

Answer:

The solutions are x=4, y=3. Cashews are $4 per pound and Peanuts are $3 per pound.

Step-by-step explanation:

let x = cashews

let y = peanuts

x + 2y = 10 - rosa's purchase

2x + y = 11 - sabrina's purchase

subtract 2x to isolate 'y'

y = 11 - 2x

x + 2(11 - 2x) = 10

x + 22 - 4x = 10 (Use the distributive property.)

-3x = -12

x = 4.00

Plug this into the original equations to find "y"

2(4) + y = 11

8 + y = 11

y = 3

4 + 2y = 10

2y = 6

y = 3

the solutions are: x = 4. y = 3.

5 0
3 years ago
a gardener is putting a wire fence along the edge of his garden to keep animals from eating his plants. if he has 20meters of fe
Alexeev081 [22]

Answer:

The largest rectangular space is 24m^{2}

Step-by-step explanation:

Given a 20m long wire fence, implies that the perimeter of the fence has been given, because Perimeter can be defined as the length of the boundary of a figure (in this case, a rectangle)

So, from the formula: Perimeter = 2 (L + B) = 20m^{2}

We have that L + B = 10m^{2}

The possible values of L and B are:

(L, B) = (9, 1), (8, 2), (7, 3) and (6, 4).

The areas of the rectangle that will be formed using these values are respectively; 9m^{2}, 16m^{2}, 21m^{2} and 24m^{2}, the largest area of which is the last which corresponds to the values (6, 4).

The largest rectangular space that the gardener can enclose is therefore 24m^{2}

7 0
3 years ago
Complete the equation of the line through (-10,-7) and (-5, -9).<br>Use exact numbers,​
steposvetlana [31]

Answer:

y=\frac{-5}{2}*x + 18

Step-by-step explanation:

A line in 2-dimensional space has the following general equation:

y=m*x+b

Where m is the slope of the line, and b just a number

the slope can be obtaine using th following formula:

m=\frac{x_{2} - x_{1} }{y_{2} - y_{1}}

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

m=\frac{-5 - (-10) }{-9 - (-7)}

Resulting that \frac{-5}{2}

To find the other term we can use any other point, I prefer us the first one so...

We have the following equation:

-7=\frac{-5}{2}*(-10)+b

Resulting that b=18

I just have to eval the point (-10,-7) in the equation stated at the beginning  knowin that m was calculated previously.

8 0
3 years ago
Read 2 more answers
Marlon and Michelle have to graph a function with the equation y=x2and are having to debate about which is the most important el
Usimov [2.4K]

Answer:

Correct answer is the domain.

Step-by-step explanation:

A domain is the input set of a function.

A range is the output set of the function.

It is more  important to know the domain of the function to be able to determine the corresponding output set so the function can be graphed. To start with the domain is very useful because every domain element has a corresponding unique output element.

Suppose you started with the range element of 9. The input set for an output of 9 is {-3,3}. This makes it hard to match up the elements. This example highlights why it is important to start with the domain rather than the range.

5 0
3 years ago
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