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Nat2105 [25]
3 years ago
7

A restaurant has 50 tables. 40% of the tables have 2 chairs at each table. The remaining 60% of the tables have 4 chairs at each

table. Complete the model. Then complete the statements to find the total number of chairs in the restaurant.
Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer:

Total number of chairs in the restaurant = 160.

Step-by-step explanation:

Total number of tables in the restaurant = 50

It is given that 40% of the tables have 2 chairs at each table.

40% of 50 = \frac{40}{100} (50)

= 20

So, 20 tables have 2 chairs at each table.

Number of chairs required for 20 tables = 20 × 2 = 40

Remaining 60% of the tables have 4 chairs at each table.

60% of 50 = \frac{60}{100} (50)

= 30

So, 30 tables have 4 chairs at each table.

Number of chairs required for 30 tables = 30 × 4 = 120

Hence, total number of chairs in the restaurant = 40 + 120 = 160.

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The work of a student to solve the equation 3(3x − 4) = 8 + 2x + 5 is shown below: Step 1. 3(3x − 4) = 8 + 2x + 5 Step 2. 6x − 7
Mamont248 [21]

Answer:

  (a)  Step 2. 9x -12 = 13 +2x

Step-by-step explanation:

The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.

In Step 2 of this "solution", the factor of 3 is erroneously <em>added</em> to each coefficent inside parentheses. It should be <em>multiplied</em>.

Correct Step 2: 9x -12 = 13 +2x

__

The rest of the solution should be ...

  Step 3: 9x -2x = 13 +12

  Step 4: 7x = 25

  Step 5: x = 25/7

___

<em>Check</em>

  3(3(25/7) -4) = 8 + 2(25/7) +5

  3((75 -28)/7) = 13 +50/7

  141/7 = 141/7 . . . . . answer checks OK

8 0
2 years ago
Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation
Anestetic [448]

Answer:

27 hours

Step-by-step explanation:

Just do the reverse. 65-11 = 54. 54 / 2 = 27.

5 0
3 years ago
HELP PLEASE!
olasank [31]

Answer        

Find out the Area of a triangle .

To proof  

Formula

Area of Triangle

= \frac{1}{2}\times( {x_1(y_{2}-y_{3}) +x_{2}(y_{3} - y_{1})+x_{3}(y_{1}-y_{2})})

Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .

= \frac{1}{2} (3\times(-1 +5) + 3\times(-5-3)-2\times(3+1))

Solving the above

= \frac{1}{2}(3\times4+3\times-8 -2\times4)

=\frac{1}{2} (12-24-8)\\ =\frac{1}{2} (-32+12)\\=\frac{1}{2} (-20)

= -10 units²

(Neglected the negative sign as area cannot be negative.)

= 10 units ²

Area of  a triangle is 10 units ²

Hence proved

6 0
3 years ago
The perimeter of the rectangle below is 46 units. Find the length of side RS. Write your answer without variables.
inessss [21]

Answer:

30 units

Step-by-step explanation:

6 0
4 years ago
the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be
jasenka [17]

Answer:

8 dogs

Step-by-step explanation:

If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.

I would appreciate Brainliest but no worries.

4 0
3 years ago
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