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Trava [24]
3 years ago
9

A watercolor painting is 23 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat t

hat adds 1 inch to each side of the length and the width. What is the area of the mat?
Mathematics
1 answer:
erik [133]3 years ago
4 0

Answer:

288 inches ²

Step-by-step explanation:

Water color painting

Length = 23 inches

Width = 11 inches

Mat that adds 1 inch to each side of the length and the width

Mat

Length = 23 + 1 = 24 inches

Width = 11 + 1 = 12 inches

What is the area of the mat?

Area of the mat = length × width

= 24 inches × 12 inches

= 288 inches ²

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A company manufactures and sells shirts. The daily profit the company makes
Rom4ik [11]

Answer:

f(-5) = -150

Meaning: If the company sells -5 shirts, they would make a profit of -150 dollars. This interpretation of loss in the context of the problem

f(7) = -30

Meaning: If the company sells 7 shirts, they would make a profit of -30 dollars. This interpretation of loss in the context of the problem

f(10.5) = 5

Meaning: If the company sells 10.5 shirts, they would make a profit of 5 dollars. This interpretation of profit in the context of the problem

Step-by-step explanation:

Given

f(x) = 10x - 100

Required

Fill in the gap

f(-5) = 10 * -5 -100

f(-5) = -50 -100

f(-5) = -150

f(7) = 10 * 7 - 100

f(7) = 70 - 100

f(7) = -30

f(10.5) = 10 * 10.5 - 100

f(10.5) = 105 - 100

f(10.5) = 5

5 0
3 years ago
Which of the following lines has a slope of -1/3 and a y-intercept of 6? x - 3y = 6 x + 3y = 18 3y - x = 18
erastovalidia [21]
The second choice is correct, but I believe that either its +1/3 ( in the question) or -3y as that will give you the answer of: y=1/3x+6
3 0
3 years ago
Read 2 more answers
Original:45 new:30 percent of change
Sveta_85 [38]

<u>Answer:</u>

<h2>-33.33%</h2>

<u>Explanation:</u>

30-45 = -15

percent of change = 100(-15/45) = -33.33%

6 0
3 years ago
How is 5.67 written in standard form
zvonat [6]
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4 0
3 years ago
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Researchers at the Centers for Disease Control and Prevention have been studying the decay pattern of a new virus with a decay r
koban [17]

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

Step-by-step explanation:

The given is,

                     A new virus with a decay rate of 19% per hour  

                    They start with 300 viruses

Step:1

                  Formula to calculate the viruses at decay rate,

                                                  y = A(1-r)^{t}............................(1)

                 Where, y - No of viruses after given time

                             A - Viruses at initial stage

                              r - Decay rate

                              t - No. of hours

                 From the given,

                              A = 300

                               r = 19% per hour

                               t = 7 hours

                Equation (1) becomes,

                                            y = 300(1-0.19)^{7}

                                               = 300(0.81)^{7}

                                               = 300(0.228767)

                                               = 68.63

               Viruses of 7 hours ≅ 69 viruses

                                                     ( or )

Step:1

        For 1st hour,

          = (No.of viruses in hour) - (No,of viruses in last hour × Decay rate )

              = (300)-(300 × 0.19)

              = 300 - 57

              = 243

       For 2nd hour,

              = (243)-(243 × 0.19)

              = 243 - 46.17

              = 196.83

      For 3rd hour,

              = (196.83)-(196.83 × 0.19)

              = 196.83 - 37.39

              = 159.4323

       For 4th hour,

              = (159.4323)-(159.4323 × 0.19)

              = 159.4323 - 30.2921

              = 129.1402

      For 5th hour,

              = (129.1402)-(129.1402 × 0.19)

              = 129.1402 - 24.5366

              = 104.6035

     For 6th hour,

              = ( 104.6035)-( 104.6035 × 0.19)

              =  104.6035 - 19.8747

              = 84.7288

     For 7th hour,

              = (84.7288)-(84.7288 × 0.19)

              =  84.7288 - 16.0984

              = 68.63 viruses

Result:

          The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

7 0
3 years ago
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