Answer:
The consecutive even numbers are -42, -44, -46
Step-by-step explanation:
As the numbers are consecutive even integers,
Let,
The first number is "x"
The second number is "x+2"
The third number is "x+4"
According to the equation,
x + (x+2) + (x+4) = -132
As the sum is -132. Now we break the parenthesis by using the addition rule.
or, x + x + 2 + x + 4 = -132
or, 3x + 6 = -132
or, 3x = -132 - 6 (side change)
or, 3x = -138
or, x = -138/3 (interchange)
or, x = -46
Therefore, the first number is -46
The second number is -46+2 = -44
And the third number is -46+4 = -42
The consecutive even numbers are -42, -44, -46
A.
5 7/9 yards
B.
5 5/9 yards
C.
5 5/3 yards
D.
5 1/3 yards
Casey bought a total of 5 5/9 yards of fabric (yellow and purple combined). The pair of scissors does not count towards the total yardage of fabric.
The first step is to add the amount of yellow and purple fabric that Casey bought. So we have 2 2/3 yards of yellow and 3 1/9 yards of purple fabric, which gives us a total of 5 5/9 yards of fabric (Since 2 2/3 equals 8/3 and 3 1/9 equals 28/9, when we add them we have 8/3 + 28/9 = 56/27, which simplifies to 5 5/9). The pair of scissors does not count towards the amount of fabric bought, so it can be disregarded for this question. Thus, the correct answer is B. 5 5/9 yards.
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Answer: Nine
Step-by-step explanation:
7+9+11+13 = 40
They are all consecutive odd numbers, and add up to 40. 7 +13 is twenty, and 9+11 is also twenty, making forty. The second number in this sequence is 9