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Dmitry [639]
2 years ago
9

2. Graph each inequality on a number line: 5x + 15 < 0

Mathematics
1 answer:
Georgia [21]2 years ago
3 0

Answer:

x < -3

Step-by-step explanation:

1. To put this inequality on a number line, we first must solve it.

Step 1: Subtract 15 from both sides.

  • 5x + 15 - 15 < 0 - 15
  • 5x < -15  

Step 2: Divide both sides by 5.

  • \frac{5x}{5}
  • x < -3

2. Now that we know x < -3, let's graph it!

  • Since it's less than, we make the number line point to the left, and we make the circle open.

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What is the answer to this math question!?
Nostrana [21]

Answer:

C) 37

Step-by-step explanation:

1/2(PQ)=RQ

2.5x+17=6x-11

17=3.5x-11

28=3.5x

x=8

RQ=6(8)-11

RQ=48-11

RQ=37

5 0
2 years ago
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Which number has the same value as 7 X 1/1000
Yuki888 [10]
Thw answer would be 0.007
5 0
3 years ago
A sea horse riding travels an average of 0.01 miles per hour. At that rate , how fast can a sea horse travel in 2.4 hours?
kondaur [170]
As for this problem, it would be best to approach this with a ratio to ratio approach. This would then involve the equation with fractions which is the common conversion from ratios to easily solve the problems concerning these. The equation then would look somehow like this:

0.01 miles / 1 hour = x miles / 2.4 hours

The easiest way would be just to multiply the numerator, which is the miles, to 2.4. So when it is multiplied to the numerator, the equation then would turn to:

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5 0
3 years ago
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Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1 2 times her hourly pay rate for time she wor
omeli [17]
<h3>The total money earned by Rita on Monday   = $158</h3>

Step-by-step explanation:

The rate by which  Rita is paid first 8 hours  = $16

The next per hour rate after 8 hours = 1\frac{1}{2}    = 1.5 times the usual rate.

Now, 1.5 times $16 = 1.5 x 1 6 =  $24

So, for each hour worked after 8th hour, Rita is paid $24 per hour.

Now, the intervals she has worked are:

(a) from 8:15  to 12: 45 pm

So, the number of hours worked  =  45 minutes + 45 minutes  + 3 hours  

= 4 hours 30 minutes  .... (1)   (as 60 minutes = 1 hour)

(b) break of 45 minutes after 12: 45  = 12: 45 + 45 minutes  

= 12 hour 90 minutes  = 1 :  30 P M

So, she started working at 1: 30 and worked till 6: 15

So, the number of hours worked  =  30 minutes + 15 minutes  +4 hours  

= 4 hours 45 minutes  .... (2)  

So, by adding (1) and (2) the total hours worked by Rita  

= 4 hours 30 minutes + 4 hours 45 minutes    

= 8 hours  75 minutes  = 9 hours 15 minutes

9 hours  15 minutes   = ( 8 +  1 .25 )     ( 15 minutes = 0.25 of an hour)

So, the payment is ( 8 x (16) +  1.25 (24) )  

= 128 +  30  = 158

Hence, the total money earned by Rita  = $158

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3 years ago
The key to using the elimination method is to find variable terms in the two equations that have unequal coefficients.
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A.true



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