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tekilochka [14]
4 years ago
5

At a graduation dinner, an equal number of guests were seated at each of 3 large tables and 7 late-arriving guests were seated a

t a smaller table. There were 37 guests in all. If n represents the number of people seated at each of the large tables, what equation represents the situation?
Mathematics
1 answer:
Alinara [238K]4 years ago
3 0

Answer:

3n + 7 = 37

Step-by-step explanation:

n represents the number of guests seated at each of the large table.

There are 3 large tables.

So, total number of guests in large table = 3n

Number of guests in smaller table = 7

Hence, total number of guests = 3n + 7

But, it is given that the total number of guests = 37

Hence, 3n + 7 = 37

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Please help i will mark brainliest
Evgen [1.6K]

Answer:

2. \left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]

3. \left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]

4. \left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]

Step-by-step explanation:

2. This matrix is easy, as it just requires addition.

\left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]    +     \left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right]   =  \left[\begin{array}{ccc}1&4\\0&3\\\end{array}\right]

3. This matrix requires for the matrices to be multiplied first, then added.

\left[\begin{array}{ccc}9&-15&18\\-27&15&-9\\\end{array}\right]    +     \left[\begin{array}{ccc}-12&36&42 \\12& -6 & -36 \\\end{array}\right]     =   \left[\begin{array}{ccc}-3&21&60\\-15&9&-45\\\end{array}\right]

4.  Here we can add the last 2 matrices to find x.

\left[\begin{array}{ccc}2&-8\\-4&2\\\end{array}\right]   +   \left[\begin{array}{ccc}4&-6\\2&-8 \\\end{array}\right]  = \left[\begin{array}{ccc}6&-14\\-2&-6\\\end{array}\right]

Hope this helps! (Please consider giving brainliest)

4 0
3 years ago
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique
KIM [24]

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

w = 68 feet

7 0
3 years ago
The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?
Serhud [2]

Answer:

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

Step-by-step explanation:

Given - The circumference of the ellipse approximated by C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi }  =  \sqrt{\frac{a^{2} + b^{2} }{2} }

Squaring Both sides, we get

[\frac{C}{2\pi }]^{2}   =  [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2}  }   =  {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2}  }   =  {{a^{2} + b^{2} }

\frac{C^{2} }{2(\pi )^{2} }  = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} }  -  a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}  = b

∴ we get

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

8 0
3 years ago
Mark is buying a game from an online store. He has not heard of the store or the online payment service before, but the price is
Semenov [28]
It could be B but I want to say D because it relates more to the question.
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3 years ago
Trying to figure out 2 different equivalent fractions for the following fractions if something is divided into 8 sections
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3/4 is equivalent to 3/32 and 3/256 if dived by 8 sections
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3 0
3 years ago
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