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satela [25.4K]
3 years ago
5

Kirk used 10.2 centimeters of tape to wrap 3 presents. How many presents did Kirk wrap if he used 23.8 centimeters of tape?

Mathematics
1 answer:
insens350 [35]3 years ago
7 0

Answer:

Kirk wrapped 7 presents with those 23.8 cm of tape.

Step-by-step explanation:

Figure out the unit rate:

10.2 cm tape

-------------------

  3 presents

or

   3 presents

-----------------------

  10.2 cm tape

Multiplying this by 23.8 cm results in the number of presents Kirk wrapped with that much tape:

(3 presents)(23.8 cm tape

--------------------------------------- = 7 presents

           10.2 cm tape

Kirk wrapped 7 presents with those 23.8 cm of tape.

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Answer:

\large\boxed{(2x-5)(3x^2-4x+2)=6x^3-23x^2+24x-10}

Step-by-step explanation:

\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x-5)(3x^2-4x+2)\\\\=(2x)(3x^2)+(2x)(-4x)+(2x)(2)+(-5)(3x^2)+(-5)(-4x)+(-5)(2)\\\\=6x^3-8x^2+4x-15x^2+20x-10\\\\\text{combine like terms}\\\\=6x^3+(-8x^2-15x^2)+(4x+20x)-10\\\\=6x^3-23x^2+24x-10

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3 years ago
Which equation is the BEST fit for the data in the graph
sammy [17]
C. Since the data is going down by -8, and it starts at +45
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What 2 numbers divide to get 375 while multiplying to equal 38.4?
Rus_ich [418]

Answer:

<em>Well, 375 is a composite number. </em>

<em>Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3) </em>

<em>The exponents in the prime factorization are 1 and 3.</em>

<em>Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375. </em>

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5 0
3 years ago
Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)? f(x) = –3x – 6 f(x) = –3x – 4 f(x
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Answer:

f(x)=-3x+14

Step-by-step explanation:

we have

y+1=-3(x-5)

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Distributed right side

y+1=-3x+15

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y=-3x+15-1

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Convert to function notation

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Step-by-step explanation:

Use the midpoint formula:

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Final answer:

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