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Tasya [4]
2 years ago
7

A bookshelf is 45 inches wide. How many 1 & 1/2 inch wide books will fit on the bookshelf? *

Mathematics
1 answer:
andriy [413]2 years ago
7 0

Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

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The equation of a given circle in general form is x^2+y^2-8x+12y+27=0. Write the equation in standard form, (x-h)^2+(y-k)^2=r^2,
umka2103 [35]

Answer:

(x - 4)² + (y + 6)² = 5²

Step-by-step explanation:

rearrange the general equation as follows

collect the terms in x and y together and place the constant on the right side

x² - 8x + y² + 12y = - 27

add (half the coefficient of the x/y term)² to both sides

x² + 2(- 4)x + y² + 2(6)y = - 27

(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36

(x - 4)² + (y + 6)² = 25

(x - 4)² + (y + 6)² = 5² ← in standard form



7 0
3 years ago
Of the 200 guests invited to a wedding, 154 attended. What percentage of the invited guests attended the wedding?
rusak2 [61]
77% of the guests attend the wedding because in order to find the percentage, divide the number of guests that attended by the number of total guests and then move the decimal point two places to the right to get the percentage.
3 0
3 years ago
Read 2 more answers
Use the substitution method to solve the system of equation.choose the correct ordered pair. 3x- y=3 y=2x +2 A. (2,6 ) B. (5,12
Anna71 [15]

Answer:

B:  (5, 12)

Step-by-step explanation:

Find the solution of the following system of linear equations:

3x- y=3

y=2x +2

Note that the 2nd equation has already been solved for y.  Thus, subbing 2x + 2 for y in the 1st equation is the way to go:

3x - (2x + 2) = 3.

Simplifying, 3x - 2x - 2 = 3, and so x = 3 + 2 = 5.

Subbing 5 for x in the 2nd equation yields y = 2(5) + 2, or y = 12.

The solution is B:  (5, 12)

8 0
3 years ago
A triangle has the 3 angles marked as A = 2x - 6, B = x + 4,<br> C = 2x - 3.<br> What is x 
erik [133]
The angles of a triangle add up to 180. So a+b+c=180.
2x-6+x+4+2x-3=180
5x-5=180
5x=185
x=37

3 0
3 years ago
If f(x)=2x+3 and g(x)=x^2, then g[f(-3)]=?
Wittaler [7]
If f(x)=2x+3 and g(x)=x^2 then

f(g(x))=2x^2+3 then:

f(g(-3))=2(-3)^2+3

f(g(-3))=2*9+3

f(g(-3))=18+3

f(g(-3))=21
8 0
3 years ago
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