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Eduardwww [97]
3 years ago
11

) \geqslant 15x - 20" alt=" - 3(9x + 20) \geqslant 15x - 20" align="absmiddle" class="latex-formula">
could you please help me?​
Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer:

x\le \:-\frac{20}{21}

Step-by-step explanation:

-3\left(9x+20\right)\ge \:15x-20\\\\\mathrm{Expand\:}-3\left(9x+20\right):\quad -27x-60\\-27x-60\ge \:15x-20\\\\\mathrm{Add\:}60\mathrm{\:to\:both\:sides}\\-27x-60+60\ge \:15x-20+60\\\\\mathrm{Simplify}\\-27x\ge \:15x+40\\\\\mathrm{Subtract\:}15x\mathrm{\:from\:both\:sides}\\-27x-15x\ge \:15x+40-15x\\\\\mathrm{Simplify}\\-42x\ge \:40\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-42x\right)\left(-1\right)\le \:40\left(-1\right)

Simplify\\42x\le \:-40\\\\\mathrm{Divide\:both\:sides\:by\:}42\\\frac{42x}{42}\le \frac{-40}{42}\\\\Simplify\\x\le \:-\frac{20}{21}

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Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of
Sedbober [7]

Answer:

0.81 hour

Step-by-step explanation:

Given data

Distance=  544.32 miles

Speed=  672 miles per hour.

We know that

Speed= distance/time

Substitute

672=  544.32/time

cross multiply

time*672= 544.32

time= 544.32/672

time= 0.81 hour

3 0
2 years ago
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
lyudmila [28]

Answer:

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

Step-by-step explanation:

For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.

Now we find out if the ratios 12/200 and 9/150 are equal.

12/200 = 3/50

9/150 = 3/50

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

7 0
2 years ago
15pts please help asap<br> 2.5 as an improper fraction?
RideAnS [48]
2.5 = 2 5/10 as a Mixed fraction

To get a improper fraction, multiply the whole number with the denominator, and then add the numerator to the answer, giving the numerator (keep the denominator number)

2 x 10 = 20
20 + 5 = 25

25/10 is your answer

hope this helps
6 0
3 years ago
on a recent hike through riverbend park antoinette traveled 2/3 mile in 1/3 hour . Which unit rate describes antoinettes speed i
My name is Ann [436]

Answer:

Her speed is of 2 miles per hour.

Step-by-step explanation:

Velocity:

The velocity is given by the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance and t is the time.

2/3 mile in 1/3 hour .

This means that d = \frac{2}{3}, t = \frac{1}{3}

Which unit rate describes antoinettes speed in miles per hour?

This is v. So

v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2

Her speed is of 2 miles per hour.

5 0
3 years ago
Solve the equation 5x +8=24
Andrew [12]

Answer:

x = 3.2

Step-by-step explanation:

5x + 8 = 24

5x = 16

5+5+5+1

1 is a 1/5 or .2 of a 5

x = 3.2

So, therefore, x would be 3.2

8 0
2 years ago
Read 2 more answers
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