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3 years ago

Which of these is the algebraic expression for the verbal expression "five times the difference of a number and six?"

Mathematics

2 answers:

Levart [38]3 years ago

6 0

The answer would be 5(x-6). If helpful please give brainliest answer.

frosja888 [35]3 years ago

5 0

Let's consider each of the option

5(x-6)

5 times the difference of a number x and 6

This could be written in another way

5(6-x)

Just that one would be a positive difference and the other would be a negative difference..

The last option would have been correct but if we're to consider pedmas.. The last option is suggesting "the difference of 5 times a number and 6" which is not what the question dictates...

The penultimate option is suggesting "6 times the difference between a number and 5"

And the second option is completely astray........

Hope this helped......

You might be interested in

Solve thye inequality 2/3x - 1/6 > 1/2

weeeeeb [17]

Answer:

x > 1

Explanation:

$\frac{2}{3} x-\frac{1}{6} >\frac{1}{2}$ = x > 1

7 0

2 years ago

Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height qt which the

motikmotik

Answer:

The shortest height is 36 inches

Step-by-step explanation:

Here in this question, we want to know the shortest height with which boxes of 12 inches tall staked will be the same height with which boxes of 18 inches staked beside it

This is a question that has to do with multiples; In other words, we are simply looking for the lowest common multiple of 12 and 18;

The multiples of both are as follows;

12 - 12, 24,36,48,60•••••

18-18,36,54,72••••••

We can see that at the point 36, both have their first multiple match

So we can say that the lowest common multiple of 18 and 12 is 36

3 0

3 years ago

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:

1. 192 books.

2. 96 books.

3. 24 books.

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

F(x)=3x+5, g(x)=6x^2 find (fg)(x)

alexgriva [62]

Answer:

18x^3+30x^2

Step-by-step explanation:

im smart.

6 0

3 years ago

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

DENIUS [597]

The answer is 15 in³.

The volume of the cone is:
$V_1= \pi r_1 ^{2} \frac{h_1}{3} = \frac{ \pi r_1^{2} h_1}{3}$
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
$V_2= \pi r_2h_2^{2}$
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since the cone fits exactly inside of the cylinder, they have the same radius and the height:
r₁ = r₂
h₁ = h₂

Also:
V₁ = 5

Now, let's write two volume formulas together:
$V_1= \frac{ \pi r^{2} h}{3}$
 $V_2= \pi rh^{2}$ 

We can include V₂ into V₁:
$V_1= \frac{V_2}{3}$

⇒ $V_2=3*V_1$
$V_2=3*5 in^{3}$
$V_2=15 in^{3}$

5 0

3 years ago