The missingstep in step 2 is to add 8x to both sides of the inequality.
An inequality shows the relationship between two mathematical expressions which is denoted by the inequality signs such as (<, >, ≤, ≥).
Given: 5 - 8x < 2x + 3
5 - 8x - 3 < 2x + 3 - 3
2 - 8x < 2x
Now, add + 8x to both sides
2 - 8x + 8x < 2x + 8x
2 < 10x
2/10 < x
0.2 < x.
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b. Solve the system of equations for the speed of the airplane in still air.
Answer:
r = 225 Mil/h speed of the airplane in still air
Step-by-step explanation:
Then:
d is traveled distance and r the speed of the airplane in still air
so the first equation is for a 4 hours trip
as d = v*t
d = 4 * ( r + 25) (1) the speed of tail wind (25 mil/h)
Second equation the trip back in 5 hours
d = 5 * ( r - 25 ) (2)
So we got a system of two equation and two unknown variables d and
r
We solve it by subtitution
from equation (1) d = 4r + 100
plugging in equation 2
4r + 100 = 5r - 125 ⇒ -r = -225 ⇒ r = 225 Mil/h
And distance is :
d = 4*r + 100 ⇒ d = 4 * ( 225) + 100
d = 900 + 100
d = 1000 miles
Answer:
Step-by-step explanation:
A pie was cut into 8 equal slices. Ruben ate 3/4 of the pie.
We have tell how many slices Ruben ate.
Since a pie was cut in 8 pieces that means 1 piece is 1/8th part of pie.
Since Ruben ate 3/4 of pie that means 6/8 of pie was finished by Ruben.
This clearly says that out of 8 pieces 6 pieces Ruben has eaten.
12
21
27
Which of the following numbers has a prime factorization of 3 x 3 x 3?Answer: 27
the range of length: (18.50 to 18.60 in.)
the range of width: (36.70 to 36.80 in.)