<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:
x^2+4x-4
Step-by-step explanation:
4x+1+x^2-5
x^2+4x-4
Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying
To answer this we will add, but before we add we will change 4/5 in to a decimal. to change ANY fraction into a decimal we have to divide the numerator by the denominator. lets do it:-
4/5
4 ÷ 5 = 0.8
Now lets substitute 0.8 for 4/5 and then add.
4/5 + 0.05
0.8 + 0.05 = 0.85
CHECK OUR WORK:-
0.85 - 0.8 = 0.05
We were RIGHT!!
So, the decimal 0.85 is equivalent to 4/5 + 0.05.
Hope I helped ya!! xD
