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Veseljchak [2.6K]

3 years ago

15

Translate the following sentence into an algebraic inequality: The quotient of a number, x, and nine is less than eight more tha

n the product of five and the same number x. Question 3 options: A) 9x < 8 + 5∕x B) x∕9 > 8 + 5x C) x∕9 ≤ 8 + 5x D) x∕9 < 8 + 5x

1 answer:

Varvara68 [4.7K]3 years ago

3 0

Step-by-step explanation:

let guess algebra right

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How many kilometers are in 765 yards? 1 yard = 3 feet 1 mile = 5,280 feet 1 kilometer = 0.621 miles

luda_lava [24]

Answer:

There are 0.70km in 765 yards.

Step-by-step explanation:

This is a problem of conversion of units, that can be solved by multiple rule of three's.

The first step is converting 765 yards to feet. We have that each yard has 3 feet, so

1 yard- 3 feet

765 yards - x feet

x = 765*3

x = 2295

So, in 765 yards there are 2295 feet.

Now, we have to convert 2295 feet to miles. Each mile has 5280 feet, so:

1 miles - 5280 feet

x miles - 2295 feet

5280x = 2295

x = 0.435 miles

So, in 765 yards there are 2295 feet which is 0.435 miles

Now, the final step is converting from miles to kilometers. Each km has 0.621 miles, so:

1km - 0.621 miles

xkm - 0.435 miles

0.621x = 0.435

x = 0.70km

So, there are 0.70km in 765 yards.

7 0

3 years ago

How to factor the gcf out of a polynomial

Ann [662]

Step-by-step explanation:

$15x^6+6x^4+9x^3\\\\\text{Find GCF of 15, 6 and 9:}\\\\15=\boxed3\cdot5\\6=\boxed3\cdot2\\9=\boxed3\cdot3\\\\GCF(15,\ 6,\ 9)=\boxed3\\\\\text{Find GCF of}\ x^6,\ x^4\ \text{and}\ x^3:\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^6=x^{3+3}=\boxed{x^3}\cdot x^3\\\\x^4=x^{3+1}=x^3\cdot x^1=\boxed{x^3}\cdot x\\\\x^3=\boxed{x^3}\cdot1\\\\GCF(x^6,\ x^4,\ x^3)=\boxed{x^3}\\\\\text{Therefore}\\\\GCF(15x^6+6x^4+9x^3)=\boxed{3}\cdot\boxed{x^3}=3x^3\\\\15x^6+6x^4+9x^3=3x^3(5x^3+2x+3)$

8 0

4 years ago

What is equavalent to one ninth

Alekssandra [29.7K]

1/9 = 2/18 = 3/27 = 4/36 = 5/45 = ... = n/(9n) for any n

5 0

4 years ago

Read 2 more answers

A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted

ozzi

Answer:

Shandra would pay $27.50 for 5 slices

Cost = 20+1.50x

Step-by-step explanation:

Given

$Membership = \$20$

$Discounted\ Price = \$1.50$ per slice

Solving (a): Cost of 5 slices

Represent the total price with y and the number of slice with x.

So, we have:

$y = Membership + Discounted\ Price * x$

This gives:

$y = 20+ 1.50* x$

In this case: x = 5.

So, we have:

$y = 20+ 1.50* 5$

$y = 20+ 7.50$

$y = 27.50$

<em>Shandra would pay $27.50 for 5 slices</em>

<em></em>

Solving (b): Cost of x slices

This has been solved in (a).

$y = 20+ 1.50* x$

$y = 20+1.50x$

Hence, the cost of x slices is 20+1.50x

3 0

3 years ago

A table of points that represent a line is shown below: X 1 3 5 8 Y - 1 2 -2 5 What is the slope of the line?

frutty [35]

Answer:

I believe that answer is 6/7

Step-by-step explanation:

6 0

3 years ago