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Mrac [35]
1 year ago
12

A 180 ​-inch is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece

Mathematics
1 answer:
maria [59]1 year ago
6 0

The length of the shorter piece is 30

<h3>What are algebraic expressions?</h3>

Algebraic expressions are expressions that are made up of constants, terms, factors and variables.

They also contain mathematical operations such as division, addition, multiplication, subtraction, etc

From the information given, we have;

Let the length of one piece be x

Let of the other piece is 5x

5x + x = 180

collect like terms

6x = 180

Make 'x' the subject

x = 180/ 6

x = 30

Thus, the length of the shorter piece is 30

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

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Answer:

he area that is un-shaded is (x-3)(x-6).

The entire area is (2x+2)(3x-4).

Area of the shaded region is:

(2x+2)(3x-4) - (x-3)(x-6) =

(6x2-2x-8) - (x2-9x+18) =

6x2-2x-8-x2+9x-18 =

5x2+7x-26 hopes this help btw (;

3 0
3 years ago
Read 2 more answers
Given the following system of equations: -4x+8=16, 2x+4y=32 what action was completed to create this new equivalent system of eq
castortr0y [4]

The equation (1) is divided by 2 to create new equivalent system of equations.

Step-by-step explanation:

The given systems of equations are:

-4x+8y=16\,\,\,(1)\\2x+4y=32\,\,\,(2)

Considering 8y instead of 8 in eq(1)

We need to identify  what action was completed to create this new equivalent system of equations? -2x+4y=8, 2x+4y=32

Comparing given equations we came to know that equation(1) is divided by 2 to get the new equation i.e

-4x+8y=16\\Divide\,\,by\,\,2:\\-2x+4y=8

While second equation is same as given.

So, The equation (1) is divided by 2 to create new equivalent system of equations.

Keywords:System of Equation

Learn more about System of Equation at:

  • brainly.com/question/9045597
  • brainly.com/question/13168205
  • brainly.com/question/2115716

#learnwithBrainly

4 0
3 years ago
How many antinodes are in the standing wave pattern shown? 1. 2 2. 4 3. 3 4. 7 5. 5 6. 6?
Sphinxa [80]

There's 6 antinodes here.

4 0
3 years ago
Find the length of the side of rhoumbus whose diagonals are of length 6cm and 8cm.​
Artist 52 [7]

Answer:

In a rhombus, the diagonals bisect at right angles. That means half the diagonals form a right angle triangle then we can try the Pythagorean theorem. so -

one side of triangle =  6/2 =3 (half of the diagonal)

other side = 8/2 = 4

a^2 + b^2 = c2

3 ^2 + 4^2 = c^2

9+16 = c^2

c^2=25

c = \sqrt{25} = 5

the hypothenus forms one side of the rhombus and here the hypothenus is 5, so the lenght of a side is 5 !

6 0
3 years ago
The average daily high temperature in °C) in Karachi, Pakistan, on the tth day of the year is
kvasek [131]

Answer:

The highest would be 34 degrees Celsius and the lowest would be 24 degrees Celsius.

Step-by-step explanation:

What I did was make a graph. The 29 in the beginning of the function represents the vertical shift, meaning the "midline" would be y = 29. The -5 after the 29 represents the amplitude. From there, you can go 5 under 29 (24 degrees Celsius) and 5 over 29 (34 degrees Celsius).

3 0
3 years ago
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