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r-ruslan [8.4K]

3 years ago

5

The sum of two numbers must be 14 or greater. The product of the two numbers must be less than 40. Which system of inequalities

represents this situation?
A.{x+y≥14xy<40

B.{x+y≥14xy<40

C.{x+y>14xy<40

D.{x+y>14xy<40

1 answer:

Anettt [7]3 years ago

4 0

Answer:

A

Step-by-step explanation:

x+y≥14

xy<40

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In a small Library there are five non-fiction books for every nine fiction book there are 130 Non-fiction books how many fiction

vova2212 [387]

Answer:

For 130 non-fiction books, the number of fiction books can be from 270 to 278.

Step-by-step explanation:

Given that, there are 5 non-fiction books for every 9 fiction books.

Observe that, if the number of fiction books is less than 9, than there will be no no-fiction books.

So, there are 5 non-fiction books for every 9 to (9+8) fiction books

So, by elementary method, there will be 5n non-fiction books for every 9n+8 fiction books, where n is a natural number.

Or, if the number of non-fiction books is 5n, then the number of fiction books will be ranging from 9n to (9n+8).

For, 150 non-fiction books, 5n=150 or n=150/5=30.

Hence, the number of fiction books can be from 9n to (9n+8).

=9x30 to (9x30+8)

=270 to 278.

Hence, for 130 non-fiction books, the number of fiction books can be from 270 to 278.

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How do I simplify big improper fractions?

Elodia [21]

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You walk 1.5miles in a half an hour. What is your average speed?

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Answer:

1/10 th of a mile every minute

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in 2010, the price of a laser printer was $1599. in 2018, the price of the same type of printer had dropped to $579. find the pe

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Hi there!

nearest percentage=64%

<em><u>1.Subtract starting value and final value:</u></em>

<em><u /></em> $1599-579=1020$ <em><u /></em>

<em><u>2.Divide it by the starting value:</u></em>

<em><u /></em> $1020*1599= 0.6378986866791744840525328330206378986$ <em><u /></em>

<em><u>3.Multiply the term by 100:</u></em>

<em><u /></em> $0.6378986866791744840525328330206378986$ <em><u>·</u></em> $100= 63.78986866791744840525328330206378986$ <em><u /></em>

<em><u>4.Round the term:</u></em>

<em><u /></em> $63.78986866791744840525328330206378986=64$ <em><u /></em>

Therefore, the decrease of the total 8 years was 64%.

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2 years ago

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The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago