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tester [92]
3 years ago
5

Whats x-3+75x compared to or equal to x-75+3x

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer:

x=-1

Step-by-step explanation:

-3+75x<-75+3x

75x-3<-75+3x

75x-3<3x-7575x−3<3x−75

75x-3-3x<-75

72x-3<-75

72x<-75+3

72x<-72

x=-1

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Hardy is packing his book collection into a box. Each book measures 4inches by 6 inches by 1 inch. The box he uses measures 24 i
netineya [11]

Answer:

<u>1. 192 books.  </u>

<u>2. 96 books.  </u>

<u>3. 24 books. </u>

Step-by-step explanation:

1. Let's find the volume of each book and the volume of the box, this way:

Volume of a book = 4 * 6 * 1 = 24 inches ³  

Volume of the box = 24 * 24 * 8 = 4,608 inches ³

2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?

Greatest number of books = Volume of the box/Volume of a book

Greatest number of books = 4,608/24

Greatest number of books = 192

3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.  

Greatest number of layers = Height of the box/Width of a book  

Greatest number of layers = 8/1 = 8  

Minimum number of layers = Height of the box/Height of a book  

Minimum number of layers = 8/4 = 2  

Upon saying that, we have:  

Number of books per layer = Greatest number of books/Minimum number of layers  

Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

Number of books per layer = 192/8  

Number of books per layer = 24

Note: Same answer to question 14559894, answered by me today.

5 0
3 years ago
11. A video receives 10,678 views the first day. It receives
Korolek [52]

Answer:15,260

Step-by-step explanation:

8 0
3 years ago
Let f(x) be a func. satisfying f(-x)=f(x) for all real x.if f"(x) exist, find its value.
OverLord2011 [107]

Answer:

f''(x)=f''(-x)

Step-by-step explanation:

A function satisfying the equation f(x)=f(-x) is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form x^{n} with n even. Observe that if f is twice differentiable we can derivate using the chaing rule as follows:

f(x)=f(-x) implies f'(x)=f'(-x)\cdot (-1)=-f'(-x)

Applying the chain rule again we have:

f'(x)=-f'(-x) implies f''(x)=-f''(-x)\cdot (-1)=f''(-x)

So we have that function f''(x) is also an even function.

4 0
3 years ago
What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2
erik [133]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>(-1, 3)</em>

▹ Step-by-Step Explanation

y - 4x = 7

2y + 4x = 2

<u>Substitute</u>

y - (2 - 2y) = 7

<u>Solve</u>

y = 3

<u>Substitute</u>

4x = 2 - 2 * 3

<u>Solve</u>

x = -1

<u>Final Answer</u>

(x, y) = (-1, 3)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

4 0
3 years ago
A box contains 4 black shirts, 8 blue shirts, 4 black pants, and 10 blue pants. Determine the probability of randomly selecting
Rashid [163]
<h3>Answer:  11/13</h3>

============================================================

Explanation:

Add up the four numbers given: 4+8+4+10 = 26 items total

Kick out the 4 black shirts since they are neither blue, nor are they pants.

So we have 26-4 = 22 items that are blue or a pair of pants (or both).

Divide that over the total (26) to get the probability we're after:

22/26 = (11*2)/(13*2) = 11/13

Side note: 11/13 = 0.8462 = 84.62% approximately

7 0
2 years ago
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