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oksian1 [2.3K]
3 years ago
8

the length of a rectangle is three more than two times its width. the perimeter of the rectangle is 36 inches. what is the width

and length of the rectangle?

Mathematics
2 answers:
Mkey [24]3 years ago
8 0

Answer:

width = 11

length = 25

Step-by-step explanation:

11 x 2 + 3 = 25

25 + 11 = 36

MAXImum [283]3 years ago
8 0

Answer:

W = 3 , L = 15

Step-by-step explanation:

The first step is to puzzle out what is meant by “three times more than twice the width.” At first I assumed that this meant that the length was six times the width, but I think an alternative interpretation would be that the length is twice the width plus three times the width, meaning that the length L is not 6W but rather 5W. So let’s try it that way.

As we know, the circumference of a rectangle is 2W + 2L. We also know , in this problem, that L = 5 W and the total circumference is 36. Therefore, by substitution, we arrive at 2W + 2 (5L) = 36, or 2W + 10 W = 36, or 12W =36, or W = 3. If W = 3, then L = 15

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10 • 1/10 =1 a) This is an example of the additive inverse property
saul85 [17]

Answer:

C) Multiplicative Inverse Property

Step-by-step explanation:

Because 1/10 is the inverse of 10.

For example, 15*(1/15)=1.

5 0
3 years ago
The sum of 5 times a number and <br> minus −​2, plus 7 times a​ number
Olenka [21]

Answer:

12x + 2

Step-by-step explanation:

Let the number be represented by x.

Then five times the number = 5*x

Seven times the number = 7*x

Sum of 5 times the number minus -2 = \[5*x - (-2)\] = \[5x +2\]

Adding seven times the number to this expression yields, \[5x+2+7x\]

\[= (5+7)x+2\]

\[= 12x+2\]

So the simplified expression corresponds to 12x + 2.

6 0
4 years ago
A quadratic equation is shown below:
sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

3x^{2}-11x+10=0 has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

\frac{d}{dx}(3x^{2}-11x+10)=6x-11

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}

6 0
4 years ago
Cómo simplificar 2/3 paso a paso<br>​
slamgirl [31]

Answer:

No sé pude simplificar ya que ambos no tiene divisores en común. Pero si lo deseas dividir daría como resultado: 2 ÷ 3 = 0.6666666667

4 0
3 years ago
A rectangle has sides 2x + 3 and x - 4. what is the perimeter of the rectangle
amid [387]
Write 2x+3(to the power of 2)+x-4(to the power of 2). Then do the equations and you should get 4x+9+2x+16. Combine like terms and that's your answer. I know it might be weird that it's not like 72 or something, but it's math haha. Your answer should be 6x+25! Make sure you understand this before just writing all of this down. Also, don't be afraid to ask your teacher. They are there to help!
8 0
3 years ago
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