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2 years ago

13

A basketball player scored 288 points in 9 games. Use the unit rate to find how many points the player would score in 5 games.

1 answer:

AysviL [449]2 years ago

3 0

Answer:

160 Points in 5 Games

Step-by-step explanation:

The given information will be used as the first ratio. 288 points / 9 games. To find out how many points this player would score in 5 games, we use another ratio with the unknown value, x. This would be x points / 5 games. Put the ratios equal to each other and cross multiply. You will get a final answer of 160.

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A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day (t in days). Find the insect population after 6 day

____ [38]

Answer:

The insect population after 6 days is of 1639 insects.

Step-by-step explanation:

A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day

This means that $r(t) = 230 + 8t + 0.9t^2$

The population of insects after x days is given by:

$P(t) = \int_{0}^{x}r(t)dt$

So

$P(x) = \int_{0}^{x} (230 + 8t + 0.9t^2)$

$P(x) = 230t + 4t^2 + 0.3t^3 + K|_{0}^{x}$

$P(x) = 230x + 4x^2 + 0.3x^3 + K$

In which K is the initital population(which is 50). So

$P(x) = 230x + 4x^2 + 0.3x^3 + 50$

After 6 days:

$P(6) = 230*6 + 4*6^2 + 0.3*6^3 + 50 = 1638.8$

Rounding to the nearest insect, 1639

The insect population after 6 days is of 1639 insects.

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3 years ago

How many 1/8-inch pieces of ribbon can be cut from a piece of ribbon that is 3/4 inch long? and I cant be a friction

Anarel [89]

Answer:

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Step-by-step explanation:

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3 years ago

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Elanso [62]

He lost $30 bc
Guy stole $100
Guy gave back $70
Owner gives hue $30 !
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2 years ago

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Aleks [24]

Answer:

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Step-by-step explanation:

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2 years ago

Given: ABCD is a trapezoid with AB || DC. If m∠A = 125 and m∠B = 99, find m∠C/

Pavlova-9 [17]

Answer:

The measure of angle C is $81\°$

Step-by-step explanation:

we know that

If AB || DC

then

$m$ -----> supplementary angles by consecutive interior angles

and remember that the sum of the interior angles in a trapezoid is equal to 360 degrees

$m$

step 1

Find the measure of angle D

$m$

substitute the measure of angle A

$125\°+m$

$m$

step 2

Find the measure of angle C

$m$

substitute the values

$125\°+99\°+m$

$m$

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2 years ago