Answer:
9
Step-by-step explanation:
<u><em>Definition of: Coefficient</em></u>
A number used to multiply a variable.
<u><em>Example:</em></u> 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.
Variables with no number have a coefficient of 1.
<u><em>Example</em></u>: x is really 1x.
<em><u>coefficients:</u></em>
3<em>x⁴</em>+ 5<em>x²</em> + 1<em>x</em>
<u><em>sum of the coefficients:</em></u>
3 + 5 + 1
8 + 1
9
Answer:
New bed dimension of bed 0.5 ft, 0.25 ft
New bed dimension of room 1.16 ft, 1.33 ft
Step-by-step explanation:
Given data:
bed dimension is given as 6 ft by 3 ft
room dimension is given as 14 ft 16 ft
according to the given information , new dimension of the room and bed will be 1/12 times of actual dimension. therefore we have
New bed dimension of bed
= 0.5 ft, 0.25 ft
New bed dimension of room
= 1.16 ft, 1.33 ft
<u>Given</u>:
The sum of 5 consecutive integers is 110.
Let the sequence be x, x + 1, x + 2, x + 3, x + 4
We need to determine the fourth number in the sequence.
<u>Value of x:</u>
Since, the sum of 5 consecutive integers is 110.
Thus, we have;
Adding the like terms, we have;
Thus, the value of x is 20.
<u>Fourth term:</u>
The fourth term of the sequence is x + 3
Substituting x = 20 in the term, we get;
Fourth term = 20 + 3 = 23
Thus, the fourth term of the sequence is 23.