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romanna [79]
3 years ago
8

if n is an integer, what is the sum of the next three consecutive even integers greater than 2n? a. 6n + 12 b. 6n + 10 c. 6n + 4

d. 6n + 8​
Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

a) 6n + 12

Step-by-step explanation:

Next three consecutive integers are :  2n + 2 , 2n + 4 , 2n + 6

2n + 2 + 2n +4 +2n +6 = 2n+ 2n + 2n + 2 + 4 + 6

                                    = 6n + 12

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12. A carpenter made two tables. The first table is 4 feet
Arte-miy333 [17]

Answer:

a. True

b. True

c. False

d. False

Step-by-step explanation:

<u>First Table</u>

Length=10 feet, Width=4 feet

Area =10 X 4=40 Square Feet

<u>Second Table</u>

The second table is half as long  as the first table.

Length =0.5 X 10 =5 feet

Area=5 X Width= 5w

The area of the second table is one  fourth the area of the first table.

Area of Second Table =\frac{1}{4} X Area of first table

5w=\frac{1}{4} X 40

5w=10

Width of the Second table, w=2 feet

The following are true.

(a)The width of the second  table is 2 feet.

(b) The area of the second  table is 10 square feet.

6 0
2 years ago
Simplify: x0 y-3 / x2 y-1
svetlana [45]

\frac{x {}^{0}y {}^{ - 3}  }{x {}^{2}y {}^{ - 1}  }  \\  =  \frac{1y {}^{ - 3} }{ {x}^{2}y {}^{ - 1}  }  \\  =  \frac{1 \times 1}{ {x}^{2} y {}^{2} }  \\    \\  =  \frac{1}{ {x}^{2}y {}^{2}  }

Step by Step Explanation:

  • Evaluate the power: Any non-zero expression raised to the power of 0 equals 1
  • Simplify: Simplify the expression
  • Calculate the product: Any expression multiplied by 1 remains the same.

<h2>☆彡Hanna</h2>

#CarryOnLearning

8 0
2 years ago
State whether each percent of change is a percent increase or a percent decrease. Then find the percent of increase or decrease
Otrada [13]
Percent decrease. 41% 
percent change= (new-old)/old *100
= -41 % the negative means decreasing
8 0
2 years ago
Write the following rate as a simplified fraction 55 dogs to 75 cats​
denis23 [38]

Answer:

11/15

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

55 ÷ 5

75 ÷ 5

=11/15

:)

4 0
3 years ago
Read 2 more answers
Find the mean, mode and median of 3, 4, 5, 4, 6, 4, 7.
Luda [366]
Mode = is the number with the highest frequency so the answer is 4.
Mean = the average so the answer is 3+4+5+4+6+4+7=33 so 33/7=4.7 (rounded to the nearest one decimal).
Median = the middle number, so the answer is 4.
5 0
2 years ago
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