Answer:
x = 5/2
Step-by-step explanation:
9x+2+5=15x-8
Combine like terms
9x +7 = 15x -8
Subtract 9x from each side
9x+7 -9x=15x-8-9x
7 = 6x -8
Add 8 to each side
7+8 = 6x-8+8
15 = 6x
Divide by each side
15/6 = 6x/6
5/2 = x
Answer:
d =
Step-by-step explanation:
Height of the person = 6 feet
Height of the lamppost = 10 feet
Let the distance between the man and end of shadow be = y
By using the concept of similar triangles:
=>
So, y =
Now distance d will be = x + y
=
d =
Answer:
11/125
Step-by-step explanation:
0.088
= 88 x 0.001
= 88 x (1/1000)
= 88/1000 (divide top and bottom by 8)
= 11/125 (simplest form)
Answer:
7/10 and 7/8 are both less than 1.
Step-by-step explanation:
The product must be less than either factor because when you multiply a number by less than 1, the number gets smaller.
The equation for the determination of the z-score is shown below.
z-score = (x - μ) / σ
where x is the value in which we need to determine the z-score, μ is the mean or the average, and σ is the standard deviation.
Substituting the known values,
z-score = (1,030.00 - 1,200) / 100 = -1.7
Therefore, the z-score of 1,030 is -1.7.