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PtichkaEL [24]
2 years ago
14

A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece

is 3 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
5 0

Answer: 7 inches

Step-by-step explanation:

       If x is the first piece, and the second piece is twice as long, then the second piece is 2x.

        If the third piece is three times as long as the first piece, x, then the third piece is 3x.

       The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.

42 = x + 2x + 3x

42 = 6x

42 = 6x

7 = x

              The first piece is 7 inches long.

<em>Learn more about </em><em>your question</em><em> here: brainly.com/question/20320071</em>

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ABC and AED are straight lines. BE and CD are parallel. AC = 12.3cm AB = 8.2cm BE = 3.8cm a) Work out length CD. AD = 9.15cm
elena-14-01-66 [18.8K]

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

6 0
3 years ago
Enter the correct answer in the boxes and select the corresponding number in each column.
tester [92]

Answer:

X = 8

Step-by-step explanation:

5x + 2(4x-16) = 72

multiply 2 into the parenthesis

5x + 8x-32 = 72

combine like terms

13x - 32 = 72

add 32 on both sides

13x = 104

divide by 13 on both sides

X = 8

8 0
3 years ago
A bookstore manager marks down the price of older hardcover books,which originally sell for b dollars,by 46 percent. What is the
gladu [14]

We are given original selling price of book = $b.

Price is marked down by 46%.

46% can be written as 46/100 in decimals it would be 0.46.

Therefore, markdown as a decimal is 0.46

Now, markdown is 0.46 of original price = 0.46b

Therefore, new price after marked down can be written by expression =

b - 0.46b = 0.56b.

<h3>Therefore, the expression for the sale price of the hardcover book is 0.56b.</h3>

If original retail price was = $29.00.

The sale price would be 0.56b = 29*0.56 = $15.66.

Total saving = 29-15.66 = $13.34.

Therefore, you save $13.34 by paying the sale price $15.66.


8 0
3 years ago
Read 2 more answers
Type anything i will give you 15 points.
vodka [1.7K]

anything.

I need at least 20 characters, so: blablabla.

;)

6 0
3 years ago
What is the volume of a cone with the given dimensions?<br> Diameter = 14 cm.; Height = 2 cm.
Helga [31]
Volume of a cone = (π.R²)(h/3)

Diameter = 14cm then R=7 cm

Height = h= 2cm

Hence V=*π.7²)(2/3) ==> 98π/3 or 102.625 cm³
4 0
3 years ago
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