Answer:
Step-by-step explanation:
let wind velocity=x
speed of plane=y
(x+y)*4=808
x+y=808/4=202 ...(1)
(y-x)*4=488
y-x=122 ...(2)
add (1) and (2)
2y=202+122=324
y=324/2=162
from (1)
x+162=202
x=202-162=40
wind velocity=40 m/hr
speed of plane=162 m/hr
Equation: 2/5 + p = 4/5 + 3/5p
Simplify Both Sides:
p + 2/5 = 3/5p + 4/5
Subtract 3/5p from both sides:
p + 2/5 - 3/5p = 3/5p + 4/5 - 3/5p
2/5p + 2/5 = 4/5
Subtract 2/5 from both sides:
2/5p + 2/5 - 2/5 = 4/5 - 2/5
2/5p = 2/5
Multiply both sides by 5/2
(5/2) * (2/5p) = (5/2) * (2/5)
p = 1
Answer: p = 1
Hope that helps!!! (Answer: Letter Choice (A), p = 1
Answer:
$5x + $4y ≤ $120
let x = 10
y = 5
$70 ≤ 120
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater or equal to
≤ means less than or equal to
the total amount Shanley has is $120. She can spend less than this amount or the amount exactly. So, the inequality sign to be used is ≤
$5x + $4y ≤ $120
let x = 10
y = 5
(50) + 20 ≤ 120
$70 ≤ 120
Second question isn't well formatted
Answer:
Number of republicans = 207
Number of democrats = 245
Step-by-step explanation:
Let :
Number of republicans = x
Number of democrats = x + 38
Total number of representatives from the two parties = 452
Tge number of representatives from each party can be calculated thus ;
Number of democrats + number of republicans = total number of representatives
(x + 38) + x = 452
x + 38 + x = 452
2x = 452 - 38
2x = 414
x = 414 / 2
x = 207
Number of republicans = 207
Number of democrats = 207 + 38 = 245
Answer:
1. 1.6x has a variable which means an unknown number
2. 5 more than 0.10 times a number
Step-by-step explanation:
A variable is an unknown number represented by a letter. It provides a way to write a relationship in the real world without knowing all the values involved, 1.6x means 1.6 times an unknown number mathematically. A real world example would be a percent growth of 60% on an unknown price - 1.6x.
5 + 0.10x means 5 more than 0.10 times an unknown number. A real world example here would be "10% off a sale plus $5 coupon". We don't know the price of the item but we do know it is 10% off and we get $5 off. Once we know the price we input it int for x and find the total discount.
