Answer:
x=-20
Step-by-step explanation:
3x+178=6x+238
-3x=60
x=-20
Answer: Width = 24 inches
Step-by-step explanation:
Let W represent the width of the rectangular sign.
The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be
W/2 + 6
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be
W(W/2 + 6) = 432
W²/2 + 6W = 432
Multiplying both sides of the equation by 2, it becomes
W² + 12W = 864
W² + 12W - 864 = 0
W² + 36W - 24W - 864 = 0
W(W + 36) - 24(W + 36) = 0
W - 24 = 0 or W + 36 = 0
W = 24 or W = - 36
Since W cannot be negative, then
W = 24
<u><em>Answer:</em></u>
a. He will have to read half an article per night
b. Fraction of the reading assignment read each night = 
<u><em>Explanation:</em></u>
<u>Part a:</u>
<u>We are given that:</u>
number of articles to read = 4 articles
number of nights = 8 nights
To get the number of articles that he should read per night, we will simply divide the the number of articles by the number of nights
<u>Therefore:</u>
number of articles to read per night =
articles per night
<u>Part b:</u>
Now, we know that he will read half an article each night from a total of 4 articles
To get the fraction of the reading assignment read each night, we will divide the number of articles read each night by the total number of assignments
<u>Therefore:</u>
Fraction of the reading assignment read each night = 
Hope this helps :)
Answer:
.00227 or 5/2197
Step-by-step explanation:
following the basic rules of PEMDAS, we know that we have to solve for the exponent first.
so.... 5/2197
as a decimal, this is .00227...
Answer:
Step-by-step explanation: