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Vilka [71]
4 years ago
13

The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible val

ue for the width? A. 40 cm B. 19.2 cm C. 16 cm D. 8 cm
Mathematics
1 answer:
Anna71 [15]4 years ago
3 0
The answer is D. Because if it's 5x the width then make length 5x and width x so 12x because two lengths and two widths makes it 12x=96 divide and you get x=8 which means width is 8 cm
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Answer:

x+3+10x^2-2.4x^3

Step-by-step explanation:

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Write the product in standard form (2x + 5) ^2
Iteru [2.4K]

Answer:

4x^2+20x+25

Step-by-step explanation:

(2x+5)^2 = (2x+5) (2x+5)

Using the foil method : 2x(2x) = 4x^2

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3 years ago
In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
Sm1 please help me w this question!!!
Lady_Fox [76]

Answer:

The answer is A, (1,2).

Step-by-step explanation:

Hope this helps!

8x-4(x+1) = 0

x =1

y = 1 + 1

y = 2

(x,y) = (1,2)

2 = 1 + 1

8 x 1 - 4 x 2 = 0

Simplify

2 = 2

0 = 0

Solution = (1 , 2)

6 0
3 years ago
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