A 41​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is one inch more than five times the length of the first piece. Find the lengths of the pieces.

Answers

Answer 1

Answer:

Length of first piece = 5 inches

Length of second piece = 10 inches

Length of third piece = 26 inches

Step-by-step explanation:

Given that:

Length of piece of steel = 41 inch

Let,

x be the length of first piece

y be the length of second piece

z be the length of third piece

According to given statement;

x+y+z = 41          Eqn 1

y = 2x                Eqn 2

z = 5x+1            Eqn 3

Putting value of y and z from Eqn 2 and 3 in Eqn 1

[tex]x+2x+5x+1=41\\8x = 41-1 \\8x = 40[/tex]

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{40}{8}\\x=5[/tex]

Putting x=5 in Eqn 2 and 3

y = 2(5) = 10

z = 5(5) + 1 = 25+1 = 26

Hence,

Length of first piece = 5 inches

Length of second piece = 10 inches

Length of third piece = 26 inches


Related Questions

4) The cost C, in dollars, for Domino's Pizza delivered depends on the number p, of pizzas ordered.
This situation is represented by the function rule C = 7p+3.
a) Complete the table below.

Answers

Answer/Step-by-step explanation:

Function rule is given as C = 7p + 3

To complete the table, substitute each value of p given and find C.

✔️Number of pizza (p) = 0 [first row]:

Substitute 0 for p into C = 7p + 3

C = 7(0) + 3 = 0 + 3

Cost ($) (C) = 3

(p, C) order pairs = (0, 3)

✔️Number of pizza (p) = 1 [second row]:

Substitute 1 for p into C = 7p + 3

C = 7(1) + 3 = 7 + 3

Cost ($) (C) = 10

(p, C) order pairs = (1, 10)

✔️Number of pizza (p) = 2 [first row]:

Substitute 2 for p into C = 7p + 3

C = 7(2) + 3 = 14 + 3

Cost ($) (C) = 17

(p, C) order pairs = (2, 17)

✔️Number of pizza (p) = 3 [first row]:

Substitute 3 for p into C = 7p + 3

C = 7(3) + 3 = 21 + 3

Cost ($) (C) = 24

(p, C) order pairs = (3, 24)

PLEASE ANSWER QUICKLY

Answers

It should C or either D

help help help help help help help

Answers

Answer:

Damian bought enough juice. He will have 1 extra pint.

Step-by-step explanation:

1 quart = 2 pints

He needs to have 5 pints of juice.

So he will have 3 quarts (which is 6 pints).

please help me im confused​

Answers

the answer is D 5(z/x)^10

Malik, who is 5 feet tall, stands 15 feet from a mirror. In the mirror, he can see the reflection of the top of a tree, which he measures to be 92 feet away from the mirror.

Answers

Answer:

I don't get the question?? What is the question??

Step-by-step explanation:

how do you convert complex numbers to polar form

Answers

Answer:

Step-by-step explanation:

Let r and θ be polar coordinates of the point P (x, y) that corresponds to a non-zero complex number z = x + iy. The polar form or trigonometric form of a complex number P is z = r (cos θ + i sin θ)

Х
Find the slope of the line that contains the following pair of points: (1, 2), (5, 2).
A. -1
0
B. 0
C. 4
D. Undefined

Answers

Answer:

B. 0

Step-by-step explanation:

2-2/5-2= 0/3= 0

Another way to look at this is that because they have the same y coordinate, it must simply be a horizontal line, which has a slope of 0

Classify ABC by its sides. Then determine whether it is a right triangle.
A(3, 3), B (6, 9), C (
6,-3)

Answers

Answer:

∴Given Δ ABC is not a right-angle triangle

a= AB = √45 = 3√5

b = BC = 12

c = AC = √45 = 3√5

Step-by-step explanation:

Given vertices are A(3,3) and B(6,9)

            [tex]AB = \sqrt{x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]

            AB = [tex]\sqrt{(9-3)^{2}+(6-3)^{2} } = \sqrt{6^{2}+3^{2} } =\sqrt{45}[/tex]

Given vertices are  B(6,9) and C( 6,-3)

       [tex]B C = \sqrt{x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]

             =  [tex]\sqrt{(-3-9)^{2}+(6-6)^{2} } =\sqrt{12^{2} } = 12[/tex]

    BC = 12

Given vertices are  A(3,3) and C( 6,-3)

 [tex]AC = \sqrt{(6-3)^{2}+(-3-3)^{2} } = \sqrt{9+36} = \sqrt{45}[/tex]

AC² = AB²+BC²

45  = 45+144

 45  ≠ 189

∴Given Δ ABC is not a right angle triangle

 

Is this a function ?

Answers

Answer:

yes

Step-by-step explanation:yes

Please help..........

Answers


Ima help you out let me do this and I’ll come back and give u the anwser

I WILL GIVE BRAINLIEST IF CORRECT (and 10 points)

The Second Seminole War began when _____________called upon the Seminole to resist removal by force.
a.
Choctaw

b.
Cherokee
c.
Osceola.
d.
Geronimo


Please select the best answer from the choices provided

Answers

Answer:

b

Step-by-step explanation:

25.622 x 100=
(You will have to move the decimal point here)

Answers

Answer:

[tex] \boxed{25.622 \times 100 = 2562.2}[/tex]

2562.2 is the right answer.

(move the decimal point 2 units towards the right)

Which expression is equivalent to
(2x + 1)?

Answers

Answer:

A

Step-by-step explanation:

the answer to this question i believe is A

A flower bed is 3 meters wide and 6 meters long. What is the area of the flower bed in square feet? Round intermediate calculations and your answer to the nearest hundredth.

Answers

Answer:

193.75 square feet or 193.75 ft²

Step-by-step explanation:

A flower bed is 3 meters wide and 6 meters long.

From the question , our final answer is to be in square feet.

Hence:

Step 1

We convert dimensions to feet

For width

= 3 meter

1 meter = 3.28084 feet

3 meter = x

x = 3 × 3.28084 feet

x = 9.84252 feet

For Length

= 6 meter

1 meter = 3.28084 feet

6 meter = x

x = 6 × 3.28084 feet

x = 19.685 feet

Step 2

We calculate the area of the flower bed

The formula is given as:

Length × Breadth

Hence: 9.84252 feet × 19.685 feet

= 193.7500062 square feet

Approximately to the nearest hundredth = 193.75 square feet or 193.75 ft²

The area of the flower bed in square feet is 193.75 square feet or 193.75 ft²

A rectangle has length 62 mm and width 47mm, both correct to the nearest millimetre.

The area of this rectangle is Amm?.

Complete the statement about the value of A.

Answers

Answer:

2,914 mm^2

Step-by-step explanation:

The computation of the area of the rectangle is as follows

= Length × width

= 62mm × 47mm

=2,914 mm^2

We simply multiplied the length of the rectangle with its width so that the area of the rectangle could be determined

Which digit in 987,654,321,000 is in the billions place​

Answers

Answer: 7

Step-by-step explanation: Which digit shows the number of billion in 987,654,321,000? Moving from right to left, the pattern of ones, tens, hundreds continues through the thousands, millions, and billions. The digit in the hundred-billions place is 7.

If that can help ya, then I'm grateful it did! -Furreto

Answer:

The answer is 7

A code consists of eight letters chosen from the 26 letters of the alphabet. What is the chance that any two of the letters are the same?

Answers

Answer:

1/26 or 0.039 (approximate to 3 decimal places)

Step-by-step explanation:

A code consists of 8 letters of the English alphabet (which comprises a total of 26 distinct letters). What is the chance or probability that any 2 letters of/in the code are the same?

An example of such code with a repeated letter is GREENMAN.

This word (code) has 2 letters that are the same and that's letter 'E'.

The probability that a letter in the code in question will appear twice depends on the frequency of appearance of that letter in the English alphabet set.

Now, no letter in the English alphabet set appears twice! Because of this, every letter in the English alphabet has an equal probability of being picked to form a code or word.

Hence, the chance that any letter from the alphabet will be repeated once in this code (same as saying the chance that any two letters of the code are the same) is 1/26 and that's equal to 0.03846 ≅ 0.039

Solve for w: 2w/5 - 9 = 11​

Answers

Answer:

w= 50

Step-by-step explanation:

Answer: x = 50

Step-by-step explanation: 2w/5 - 9 = 11

                                                       +9    +9

                                                                20

2w/5 = 20

     *5    *5

             100

2w = 100

 2       2       = 50 so x = 50

Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.

Answers

Step-by-step explanation:

Bus A leave depot at = 3pm

Bus B leave depot at = 3 pm

both leave depot at 3 pm so

Bus A complete its route in25 mins

Bus A reach at his point at 3:25 pm

Bus B complete its route in 30 mins

Bus B reach at his point at 3:30 pm

So

If the buses go back to depot it will take 25 mins so Bus A reach back at depot at 3:50 pm

Bus B at 4:00 pm

Would this be equal to 180? It's pretty easy.

Answers

Answer:

Yes you would set both equal to 180

so for example

(x-24)+3x=180

Then solve for x

Divide 2.875x10^6by2.3x10^3

Answers

Answer:

1875L = 1.875x10^6 mL

multiply by density to get 2.14x10^6

multiply by percentage to get 6.63x10^4 g of NaCl (66.3 kg)

Step-by-step explanation:

The answer is 1250 ! You can use Desmos for math questions like that

What percentage of a dollar do you have if you have 1 quarter, 1 dime, 1 nickel, and 1 penny?

Answers

41% add up all the coins

25+10=35
35+5=40
40+1=41

hope this helps:)

Using the quadratic form, which letter is key in finding the axis of symmetry?
a. x
c. c
b. b
d. y

Answers

Answer:

y=ax²+bx+c

c is axis of symmetry I believe

Answer:

b

Step-by-step explanation:

on edge2021

when I double my number subtract three subtract my number and add four I get my number plus two what is my number

Answers

Answer:

x+1

Step-by-step explanation:

x * 2 -3 - x + 4 =

2x - 3 - x + 4

x - 3+4 = x+1

What is 3/4 divided by 1/8? Show/explain your reasoning. (I need this answer ASAP please.)

Answers

Answer:

3/4 divided by 1/8 Is 6

Step-by-step explanation:

Boris the rat is trying to find food in the maze shown below. Boris is equally likely to take any path when coming to an intersection. If the food is stored in area A, what is the probability that Boris finds food? Show all of your calculations!

Answers

Answer:

Probability to reach A by Boris = [tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Figure with this question is not attached; find the diagram in the picture attached.

If Boris is trying to reach the food stored in area A, number of ways from junction X = 3

Probability of choosing one way = [tex]\frac{1}{3}[/tex]

Similarly, from junction Y there are 3 more options to reach the food.

Probability to reach A from junction Y = [tex]\frac{1}{3}\times \frac{1}{3}=\frac{1}{9}[/tex]

Therefore, probability to reach the food stored in A

= Probability to reach A from junction X + Probability to reach A from junction Y

= [tex]\frac{1}{3}+\frac{1}{9}[/tex]

= [tex]\frac{4}{9}[/tex]

The surface area of a rectangular prism is 178 in.2
What is the height of the figure if its length is 3 in. and its width is
4 in.? Explain how you got your answer.

Answers

Answer:

The height of the figure is 12 in

Step-by-step explanation:

Can someone Help please? :)

Answers

the answer is 24i-7 she forgot to multiply 3 and 4 two times to distribute


Evaluate the expression
10^2 + (3+5)^2 - 5 ​

Answers

Answer:

(2)(3) =6

Step-by-step explanation:

Answer:

the answer is 159. Brainliest?

Step-by-step explanation:

Plz I will give brainliest

Answers

Answer:

That would be C. (1/10)

It’s C (1/10) ...........
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