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Lady bird [3.3K]

3 years ago

6

A library has 9,000 books. During renovations, the library wants to pack them into boxes that hold 10 books each. How many boxes

are needed?

2 answers:

yawa3891 [41]3 years ago

3 0

Answer: 900 boxes

Step-by-step explanation: When you take 9,000 and divide it by the number of books in a box(10) you get 900

swat323 years ago

3 0

You are going to need 900 boxes

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You buy items totaling $52.25 with a 6% sales tax. You give the clerk three $20.00 bills. Figure the following amounts:

schepotkina [342]

A- 3.13
B- 55.38
C- 4.62

8 0

3 years ago

Read 2 more answers

What is the missing pattern 7, 11, 2, 18, -7

Alexxx [7]

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the <em>recurrence</em> formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

$n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the <em>recurrence</em> formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

To learn more on patterns: brainly.com/question/23136125

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8 0

2 years ago

A triangle with sides of lengths 16, 30, and 35 is a right triangle. O A. True O B. False

Afina-wow [57]

Answer:

B false

Step-by-step explanation:

The Theorem states that for a right triangle,

a^2 + b^2 = c^2

where c is the hypotenuse and a and b are the two shorter sides.

So does our given lengths work? Let's see:

16^2+30^2=35^2

256+900=1225

1156=1225

1156≠1225

And as we can see, the two sides do not equal each other, so this means the sides do not make a right triangle.

6 0

3 years ago

Read 2 more answers

Given f(x)=2x2+3x and g(x)=5x2−2x−6 .

ivolga24 [154]

7x2+x-6 is the correct answer

8 0

3 years ago

Read 2 more answers

X^2 - y^2 = 100

luda_lava [24]

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

3 years ago