1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
drek231 [11]
2 years ago
7

A 24​-foot piece of siding is cut into three pieces so that the second piece is twice as long as the first piece and the third p

iece is five times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces.
Mathematics
2 answers:
Fudgin [204]2 years ago
5 0

Answer:

Let x be the first piece, y the 2nd, Z the 3rd

You know all of the pieces together make 24 thus,

24 = x + y + z

The second piece is 2 times longer than the 1st so,

y = 2x

The 3rd is 5 times longer

z = 5x

Replace them in the equation of the beginning

24 = x + 2x + 5x

24 = 8x

x = 3 (First piece)

y = 6 (Second Piece)

z = 15 (Third Piece)

zepelin [54]2 years ago
3 0

Answer: first piece = 3 feet

Second piece = 6 feet

Third piece = 15 feet.

Step-by-step explanation:

The total length of the siding is 24 feet.

It is cut into three pieces so that the second piece is twice as long as the first piece. If x represents the length of the first​ piece, then the length of the second piece is 2x.

If the third piece is five times as long as the first piece, then the length of the third piece would be

5x. Therefore,

x + 2x + 5x = 24

8x = 24

x = 24/8

x = 3 feet

Length of the second piece = 2 × 3 = 6 feet.

Length of the third piece = 5 × 3 =

15 feet.

You might be interested in
Solve for the formula for the indicated variable. Solve A=1/2bh for b.
choli [55]
B = 2A/h

The way you would get this is first by clearing the fraction. So in order to clear the fraction, you have to multiply the equation by the denominator.

2(A = 1/2bh)

2A = 1bh

2A = bh

Then you have to isolate the variable. So you'd divide bh by h in order to get b by itself. So you'd end up with:

2A/h = bh/h

2A/h = b
5 0
2 years ago
How do I solve this using the system of equations?
Westkost [7]

Answer:

length: 16 m; width: 13 m

Step-by-step explanation:

Write each of the statements as an equation. You know that the formula for the perimeter is ...

P = 2(L +W)

so one of your equations is this one with the value of P filled in:

• 2L + 2W = 58

The other equation expresses the relation between L and W:

• L = W +3 . . . . . . . . the length is 3 meters greater than the width

There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...

2(W+3) +2W = 58

4W +6 = 58 . . . . . . . simplify

4W = 52 . . . . . . . . . . subtract 6

W = 13 . . . . . . . . . . . .divide by 4

We can use the expression for L to find its value:

L = 13 +3 = 16

The length is 16 meters; the width is 13 meters.

6 0
3 years ago
Calcula la longitud de la variable "x"​​
Olenka [21]

Answer:

x=20

Step-by-step explanation:

30°-60°-90°Δ

a=10

b=20

c=10\sqrt{3}

x=b

x=20

7 0
3 years ago
A block of gold with a mass of 3864 kilograms has a volume of 0.2 cubic meters. What is the density of gold?
kaheart [24]
The density of the gold is 772.8 kilograms\cubic meters
3 0
2 years ago
Which equation is the equation of a circle with a diameter of 20 cm and center at (-3, 6)?
larisa86 [58]
The equation of a circle with centre (a,b) and radius r is:
(x - a)^2 + (y - b)^2 = r^2
thus,
here centre (a,b) = (-3,6), a = -3, b = 6
and radius  = diameter/2 = 20/2 =10 units
therefore, the equation is
(x + 3)^2 + (y - 6)^2 = 100
which is c.

5 0
2 years ago
Other questions:
  • Question 3
    9·1 answer
  • Find the particular solution to y'=2sin(x) given the general solution is y=C-2cos(x) and the initial condition y(pi/3)=1
    14·1 answer
  • Find two consecutive integers whose sum is the square of 7
    13·1 answer
  • Simplify the following:
    9·2 answers
  • Nathan flew 3,547 miles from Canada to California during the first part of his trip. He flew 2,567 miles from California to Hawa
    10·1 answer
  • A 13-foot ladder is leaning against a building, forming a right triangle. The height where the ladder touches the building is se
    15·1 answer
  • - ( x - 1 ) = -4x - 2
    9·1 answer
  • PLEASE HELP I DONT UNDERSTAND AND MY HEAD IS HURTING I WILL GIVE YOU BRAINLIEST!!!! (LIKE LITERALLY MY HEAD HURTS) i will give 2
    15·2 answers
  • Factor the trinomial.<br><br> x2 + x − 2
    9·2 answers
  • Find the inverse of f(x)=7.50x
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!