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I am Lyosha [343]
3 years ago
11

Sophia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit she sells. If Sophia wants to earn

at least $70 per day, which inequality shows the minimum number of outfits, n, that she should sell? (5 points) 40 + 5n ≤ 70, so n ≤ 6 40 + 5n ≥ 70, so n ≥ 25 40 + 5n ≤ 70, so n ≤ 25 40 + 5n ≥ 70, so n ≥ 6
Mathematics
2 answers:
andrew-mc [135]3 years ago
7 0

Answer:

In order to find this answer, you will need to be able to make an inequality.

Step 1: Sophia makes $40 so start with that. 40

Step 2: Sophia also makes $5 per every outfit that she sells, so add that plus your variable (n). 40+5n

Step 3: Determine if Sophia wants to make more, equal to or more, less, or less than or equal to than what she wants to make per day. 40+5n *draw a greater than or equal to sign.

Step 4: Sophia wants to make more than or equal to what she makes per day. You will need to find what she wants to make more than. In this she wants to make more than or equal to $70.

Equation: 40+5n *greater than or equal to sign* $70

Step-by-step explanation:

oksano4ka [1.4K]3 years ago
3 0

Answer:

  40 + 5n ≥ 70, so n ≥ 6

Step-by-step explanation:

  40 + 5n ≥ 70

           5n ≥ 30

              n ≥ 6

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Hello and Good Morning/Afternoon

<u>Let's take this problem step-by-step</u>:

<u>To find the solution to a system of equation</u>

  ⇒ <em>must set</em> the equations equal to each other

     ⇒ and solve

<u>Let's put that into action</u>

  x^2-2x+3 = -2x + 12\\x^2-2x+2x+3-12=0\\x^2-9=0\\(x+3)(x-3)=0

  • At this point, to make the whole thing equal zero

          ⇒ either 'x+3' or 'x-3' equals zero

              ⇒ must find 'x' that satisify either equation

                    x-3=0\\x=3\\\\x+3=0\\x=-3

<u>Let's find the corresponding f(x) to each x-value</u>

  f(3) = -2(3)+12=-6+12 = 6\\\\f(-3) = -2(-3) + 12=6+12=18

<u>Therefore the solutions are (3,6) and (-3,18)</u>

<u />

<u>Answer: (3,6), (-3,18)</u>

<u></u>

Hope that helps!

#LearnwithBrainly    

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