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katrin2010 [14]
3 years ago
11

In a given rectangle, the shorter side is 3 units less than the longer side. If we let the longer side be represented by the var

iable x, create an expression that represents the perimeter of the rectangle. (P=2L+2W)
Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

P = 4x - 6

Step-by-step explanation:

In a given rectangle, the shorter side is 3 less than the longer side.

Let the longer side is the length of the rectangle L and the shorter side of the rectangle is the width of the rectangle W.

Then from the condition given we can write that L = W + 3 ....... (1)

Now, perimeter of the rectangle is given by P = 2(L + W)

So, from equation (1) we can write P = 2(L + L - 3) {Since W = L - 3}

⇒ P = 2(2L - 3) = 4L - 6.

Now, if we represent L as the variable x, then the expression for perimeter P = 4x - 6 (Answer)

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Find two numbers whose sum is 36 and whose defference is 10.​
Vika [28.1K]

Answer:

The two numbers would be 28 and 8.

8 0
3 years ago
I think this is easy for yall but nor for me lol need help
Marrrta [24]

Answer:

x = 14

Step-by-step explanation:

So because the sides are equal, that means that the angles are equal.

5x = 3x + 28

Step 1.) Subtract 3x from 5x which leaves you with 2x.

2x = 28

Step 2.) Divide 28 by 2, to get the variable on its own. This leaves you with 14

x = 14

3 0
3 years ago
An ESTIMATE of 39% of 120
malfutka [58]

ANSWER: 46.8


39% of 120

The word "of" means multiplied. So you will have to multiply 39% x 120

To do that, first step is to change the percent (39%) into a decimal


39% = 0.39  (You move the decimal twice to the left, not right)

There's an invisible decimal behind 9 so ALWAYS move it twice.

= 39(.)⇒ 0.39


Then your final step is to multiply

120 x 0.39


    1 2 0

x 0 . 3 9   ← notice this decimal

_______                    ∨

 1 0 8 0                     ∨

+ 3 6 0 0                    ∨

_______                    ∨

  4 6 8 0          There's an invisible decimal before the 0. Move that decimal two times to                                  the left.   4680(.)⇒ 46.8


4 0
3 years ago
Read 2 more answers
The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets contain 190 calories, and 114 calorie
PIT_PIT [208]
The percent of total calories from fat is 60%

Step-by-step work:

190 calories is the total amount of calories in the chicken nuggets and 114 calories are from fat so you could write that as:

114/190

now remember that a “/“ also means divide, so divide the fraction:

114/190 = 0.6

0.6 is the decimal form of 114/190

then since percentages are out of 100, you multiply it by 100:

0.6 • 100 = 60

and 60% is your final answer!
4 0
3 years ago
Read 2 more answers
Find an equation in standard form for the hyperbola with vertices at (0, ±6) and foci at (0, ±9).
Dvinal [7]
<span>For given hyperbola:
center: (0,0)
a=7 (distance from center to vertices)
a^2=49
c=9 (distance from center to vertices)
c^2=81
c^2=a^2+b^2
b^2=c^2-a^2=81-49=32
Equation of given hyperbola:


..
2: vertices (0,+/-3) foci (0,+/-6)
hyperbola has a vertical transverse axis
Its standard form of equation:  , (h,k)=(x,y) coordinates of center
For given hyperbola:
center: (0,0)
a=3 (distance from center to vertices)
a^2=9
c=6 (distance from center to vertices)
c^2=36 a^2+b^2
b^2=c^2-a^2=36-9=25
Equation of given hyperbola:
</span>
4 0
3 years ago
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