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Alla [95]
3 years ago
14

Which number(s) below belong to the solution set of the inequality Check all that apply. x + 30 < 60 a.50 b.45 c.300 d.1 e.29

f.30
Mathematics
1 answer:
Igoryamba3 years ago
6 0

Answer:

e.29 d.1

Step-by-step explanation:

  • x+30<60 :

we will replace with the values we have :

  • 300 that's a big number . Obviously it isn't a solution
  • 50 : 30+50 = 80>60 so no
  • 45: 30+45= 75 >60  so no
  • 30+30 = 60 we have < not ≤ so no
  • 1 yes . it's obvious
  • 29 +30 = 59<60 so yes !
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4 - 5/2 * (1/10x) = 1 what is the value of x
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4 - 5 / 2 * (1/10x) = 1\\

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

4 - 5 / 2 * (\frac{1}{10x})  = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12

We check our answer:

x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1

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6 0
4 years ago
The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th
makvit [3.9K]

Answer:

<u><em>k = 0.2645</em></u>

Step-by-step explanation:

Given model:

y = 4070 e^{kt}

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t= no. of months website has been operational = 3

put in the above equation:

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<u><em>Taking natural logarithm on both sides, we get:</em></u>

ln\frac{900}{407}=ln(e^{3k})

ln\frac{900}{407}= 3k ln<em>e</em>

ln<em>e</em>=1

ln \frac{900}{407}= 3k

or k = \frac{1}{3}ln\frac{900}{(407)}

k =\frac{1}{3}(0.7936)

<em>k = 0.2645</em>

<em />

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Answer:

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you can verify by putting value

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