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KatRina [158]
3 years ago
10

Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 books. There are 1,265 myster

y books. How many shelves will he need to build?
Mathematics
1 answer:
Alborosie3 years ago
3 0

Answer:

37.2 = 38

Step-by-step explanation:

After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.

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Hey guys can you please help me with this math problem?
shusha [124]

Answer:

77777777

Step-by-step explanation:

5 0
3 years ago
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an urn contains 10 blue marbles and 8 yellow marbles a marble is drawn and dropped back into the urn. Then a second marble is dr
Sunny_sXe [5.5K]

Answer:

80/729

Step-by-step explanation:

8/18x8/18x10/18=640/5832

80/729

6 0
3 years ago
If someone could explain this to me that be really great :p
BigorU [14]
"x" always goes on the left side and "y" always goes on the right side of the parentheses. If you only have an "x" then you will just put a zero in for "y" and vice versa. I hope this helps.
4 0
3 years ago
A boat on the ocean is 2 mi from the nearest point on a straight? shoreline; that point is 15 mi from a restaurant on the shore.
Sladkaya [172]

Answer:

a) x  =  0,70 miles

T  =  1/2* (√4 + x²)  +( 15 - x )/3   Objective Function to minimize

b) V(min)  = 2.59 m/hr

Step-by-step explanation:

Let assume the boat is in Point A,  she lands in point B, and R  is the restaurant

Let call  x distance between the point O in  which perpendicular line from the boat get to shoreline, and the point were she land.

We know  distance is

d = v*t       ⇒  t = d/v

She rows at 2 miles/hr  and walk at 3 miles /hr

According to that she takes

c (hypotenuse) of right triangle  AOB/ 2 rowing

and  15 - x /3  walking

Total time is:

T  =  c/2  + ( 15-x )/3          c =√(2)² + x²     ⇒  T = [√(2)² + x²  ] /2  +  ( 15-x )/3  

T  =  1/2* (√4 + x²)  +( 15 - x )/3   (1)

And that is  the Objective function to minimize

a) Taking derivatives on both sides of the equation we get

T´(t)  =  x /( √4 + x²)  - 1/3    ⇒   T´(t)  = 0     x /( √4 + x²)  - 1/3 = 0

3*x - √( √4 + x²) = 0     ⇒  3*x  =  √( √4 + x²)

Squaring both sides

9x²  =  4 + x²     ⇒  8x²  = 4       x² = 1/2      x  =  0,70 miles

If we plug this value in the Objective function we will get the minimum time

1/2* (√4 + x²)  +( 15 - x )/3    ⇒ [√ 4  + 0,5] /2 +  14,3/3 = T (min)

T(min)  =  1.06 + 4.77  = 5.83 hr

Distance L (hypotenuse of right triangle AOR)

L = √(2)²  + (15)²   L  = 15,13 miles

And that distance have to be traveled at least in 5.83 hr rowing

Then  as  v = d/t      V(min)  =  15.13/ 5.83   ⇒    V(min)  = 2.59 m/hr

6 0
3 years ago
Determine the zeros of x^2 + 4x - 16 = -2x .
Nutka1998 [239]
So first you make equation equal 0

x^2 + 6x - 16 = 0           Add 2x to both sides

and use the equation:  x = -b ± (sqrt((b^2 - 4(a)(c))))/2a and Ax^2 + Bx + C = 0

A = 1
B = 6
C = -16

x = -3 ± (sqrt((36 + 64)))/2

x = -3 ± (sqrt(100))/2

x = -3 ± 5

x = 2
-and-
x = -8
6 0
3 years ago
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