Answer:
x = -119/3 = -39 2/3
Step-by-step explanation:
(128 +7x- 12) = (4x - 3)
Combine like terms
(116 +7x) = (4x - 3)
Subtract 4x from each side
116 +7x-4x=4x-4x-3
116 +3x = -3
Subtract 116 from each side
116-116 +3x = -3-116
3x = -119
Divide each side by 3
3x/3 = -119/3
x = -119/3
x = -39 2/3
Answer: 10 ornaments
Step-by-step explanation:
From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.
The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:
= 2 1/2 ÷ 1/4
= 5/2 ÷ 1/4
= 5/2 × 4/1
= 10
They can make 10 ornaments
Answer: The length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.
Step-by-step explanation:
According to the empirical rule , 68% of the population falls within one standard deviations from the mean.
Given : For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation of 5 days.
According to the Empirical Rule, the length of approximately 68% of all pig pregnancies will fall between 
days and 
days .
i.e. the length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.
The function g is defined by:
g(x) = (4 + x) / (5 + 3x) ...(1)
Now, we need to find g(5n); that is, we make: x = 5n
Replacing this into equation (1):
g(5n) = (4 + 5n) / (5 + 3*(5n)) = (4 + 5n) / (5 + 15n)
So, the final answer is:
g(5n) = (4 + 5n) / (5 + 15n)
