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tekilochka [14]
3 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]3 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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Use the distributive property to find the equivalent expression.<br> 3(2 + x) =__+__x
Simora [160]

Answer:

6+3x

Step-by-step explanation:

multiply each term in the parentheses by the outer term.

6 0
2 years ago
Read 2 more answers
Is 42(x + 14y) equivalent to 42x - 56y
g100num [7]

Answer:

No its not

Step-by-step explanation:

When 42(x + 14y) is simplified:

42(x + 14y)

Expand and remove the brackets. Remember brackets mean to multiply.

42*x

42x

42*14y

588y

42x+588y

Therefore 42x-56 is NOT EQUIVALENT to 42(x + 14y) but is equivalent to 42+588y

3 0
3 years ago
Hannah has a bag containing 2 Red, 4 purple, 4 Blue and 2 Green
juin [17]

Answer:

1/18

Step-by-step explanation:

there are 12 marbles in the bag

P(choose red) = 2/12 = 1/6

P(choose blue after replacement) = 4/12 = 1/3

P(choose red, then blue with replacement) = (1/6)(1/3) = 1/18

7 0
2 years ago
calculate how much 1% salt solution must be mixed with how much 5% salt solution to make 100 milliliters of 2% salt solution. yo
Setler79 [48]
Let x be the amount (the volume in milliliters) of the 5% solution to be mixed.

Then the volume of the 1% solution is 100-x milliliters.


Then your "concentration" equation is

%280.01%2A%28100-x%29+%2B+0.05%2Ax%29%2F100 = 0.02,


or, equivalently,

100-x + 5*x = 200,

which implies

4x = 100 ----> x = 100%2Fx = 25.


Answer: 25 milliliters of the 5% solution must be mised with 100-25 = 75 milliliters of the 1% solution.
7 0
3 years ago
1 is 25% of what number?
Travka [436]

Answer:

4

Step-by-step explanation:

25% is the same as 1/4.

1 is 1/4 of what number?

Answer: 4

You can also answer it with an equation.

Let x = the number you are looking for.

1 is 25% of x can be written as the following equation.

25% of x = 1

0.25x = 1

Multiply both sides by 4.

x = 4

Answer: 4

8 0
2 years ago
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