Answers:
bio = 258
sociology = 169
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Work Shown:
x = number of bio textbooks
y = number of sociology textbooks
x+y = 427 books sold total
y = x-89 since 89 less sociology textbooks were sold compared to bio
Apply substitution to get the following
x+y = 427
x+x-89 = 427 ... replace y with x-89
2x-89 = 427
2x = 427+89
2x = 516
x = 516/2
x = 258 bio textbooks were sold
y = x-89
y = 258-89
y = 169 sociology textbooks were sold
Answer:
$31.37 is the sale price
Step-by-step explanation:
All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.
1. Store A. 40% off the original price of $159.99
63.996 is the discount price we are looking for
2. Store B. 25% off the original price of $130.50
32.625 is the discount price we are looking for
3. Now to find their difference you just subtract the two values.
The discount price (sale price) is $31.371
Answer:
Step-by-step explanation:
Area of rectangle = length x width
Area of square = side x side
Given: Dimension of rectangular wall: 8 feet high and 30 feet wide
Area of rectangular wall = 8 feet x 30 feet = 240 ft²
Height of square wall = 9 feet
Area of square wall = 9 x 9 ft² = 81 ft²
Total area need to paint = 240 ft²+ 81 ft² = 321 ft² > 250 ft.²
i.e. Molly does not have enough p[aint to cover both walls.
Answer:
30 degrees
Step-by-step explanation:
The definition of complementary angle is to sides that add up to 90 degrees so to show the work you would work it out like this:
I like to write out all information and than solve it.
we know:
Angle A = 60
Angle B =?
Total = 90
so now you can work it
90 - 60= 30
<span>The sigma means that you add up all the values you get after you plug in the designated range of n.
so, what that means in simplest terms:
plug in the value for n on the bottom first, which is 2. then plug in everything up to the number on top of the sigma
so you'd plug in, 2 for n, then, 3, then 4, then 5, then 6, then 7, and finally 8 into the expression -(n-5)
doing this we'd end up with:
-(2-5) = 3
-(3-5) = 2
-(4-5) = 1
-(5-5) = 0
-(6-5) = -1
-(7-5) = -2
-(8-5) = -3
so then, after we do all that, we add up all the values we found, in this case they all cancel each other out and go to zero:
3 + 2 + 1 + 0 + (-1) + (-2) + (-3) = 0 </span>
