Answer:
(13/24)
Step-by-step explanation:
let’s find a common number that we can get on the denominator
4 can be multiplied to get 48
6 can be multiplied to get 48
and 8 can also be multiplied to get 48
4(12) = 48
so for the equation (1/4) the numerator and denominator will both be multiplied by 12
(1/4)x(12/12) = (12/48)
6(8)= 48
(1/6)x(8/8) = (8/48)
8(6) = 48
(1/8)x(6/6) = (6/48)
now the fractions are
(12/48)+(8/48)+(6/48)
we can add them now because they have the same denominator and we get:
(26/48)
this can be simplified if we divide both the numerator and denominator by 2 and we get
(13/24)
Answer:
The nail would be 30 feet above the ground in 10 years.
Step-by-step explanation:
We are given the following in the question:
Height of nail = 10 feet.
The tree grows taller at a rate of 2 feet per year.
Thus, the height of nail can be represented by a linear function:

where t is the number of years.
We have to find the height of nail in 10 years.
Putting t = 10, we get,

Thus, the nail would be 30 feet above the ground in 10 years.
Answer:

Step-by-step explanation:
For this, you check to see if any of these variables are the same. There are two x's, and 2 y's. So, you have to multiply x and x, which gives you 2x, and since you multiply the y's it will give you y^2.
So the answer will be 
Answer:
p(t) = 0.8 when t = 7.38 hours
Step-by-step explanation:
Answer:
<h2>x = -2 (verified by algebra) ✅</h2>
Step-by-step explanation:
Since we are given the value of y, we can replace it with 5x + 7.
We now have: 3x + 5x + 7 = -9
We can now simplify by adding 3x and 5x to get 8x.
8x + 7 = -9
We can subtract 7
8x = -16
And now, we divide by 8
x = -2
We can check to make sure we are correct
3(-2) + 5 (-2) + 7 = -9
-6 + -10 + 7 = -9
-9 = -9 ✅