A 42​-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 Two inches more than seven times the length of the first piece. Find the lengths of the pieces.

Answers

Answer 1

Answer:

4, 8, 30

Step-by-step explanation:

Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.

Equation:

x + 2x + 7x + 2 = 42

10x + 2 = 42

10x = 40

x = 4

The First piece is 4 inches

Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.

Hope this helps!!!


Related Questions

Mr. Cooper is baking chocolate chip cookies using his grandma's recipe. The number of cups of chocolate chips needed to the number of dozens of cookies made can be represented by the ratio 4 : 5. Using the same recipe, what is the amount of chocolate chips needed for 1 dozen?

Answers

Answer:

0.8 cups

Step-by-step explanation:

Given that:

Numbe of cups of chocolate chips needed to the Number of dozens of cookies made can be represented using the ratio 4:5

Hence,

The proportion of cups of chocolate chips to the number of dozens of cookies = 4 / 5

4 cups of chocolate chips to 5 dozens of cookies ;

For 1 dozen of cookies, number of chocolate chips will be (x)

4 / 5 = x / 1

Cross multiply

4 * 1 = 5 * x

4 = 5x

x = 4/5 = 0.8

Hence, for 1 dozen of cookies, 0.8 cups of chocolate chips is required

143cups + 1 1/3 cups

Answers

Answer: 144 1/3 cups

Step-by-step explanation: 143+1 1/3=144 and 1?3

please help!! It’s for geometry!!

Answers

Answer:

1.  SAS

2. SSS

3. SAS

4. SAS

5. SSS

6. SSS

7. SAS

8. SSS

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3

Answers

Answer
2x^3+9x^2+5x+27

The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

What is the standard form of the polynomial?

To write a polynomial in its standard form, we first simplify then write the terms in an descending order.

Given the polynomial; 9x² + 5x + 27 + 2x³

First, we move the constant 27 to the right end of the expression

9x² + 5x + 2x³ + 27

Next, we move 2x³ left end of the expression

2x³ + 9x² + 5x + 27

Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

Learn more about standard form of polynomial here: https://brainly.com/question/15313798

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5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes

Answers

the answer is (x,y) = (4/51 - 8/51)

The Value of x and y are (x,y) = (7,3).

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

GIven equations are :

5x - 2y= 26.....(1)

y + 4 = x..........(2)

Solve by substitution :

substitute equation 2 in equation 1 and solve for y

5x - 2y= 26

5(y+4) - 2y = 26

5y + 20 -3y = 26

2y = 26 - 20

2y = 6

y = 3

now, the value of x will be :

x = y + 4

x = 3+4

x = 7

Therefore, The Value of x and y are (x,y) = (7,3).

Learn more about the linear equation here:

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how do you convert fractions to decimals?​

Answers

Answer:

divide the fractions

Step-by-step explanation:

lets say we have 23/5

we can divide 23 by 5 and get a decimal of 4.6

or lets say we got 1/5

divide 1 by 5 and you will get 0.2

HELP MY GRADE IS HORRIBLE

Answers

Answer for y-2x^2-8x+ 10 is -10

Write 0.000 052 3 in standard form.​

Answers

The answer will be
5.23×10
−5
.

Answer:

523

Step-by-step explanation:

as 5 is in hundreds place

2 is in tens place

3 is in ones place

What is the scale factor from triangle ABC to triangle PQR?

Answers

The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.

To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.

Side AB corresponds to side PQ, which has a length of 6 units.

Side BC corresponds to side QR, which has a length of 9 units.

Side AC corresponds to side PR, which has a length of 12 units.

So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:

AB/PQ = BC/QR = AC/PR

Using the values we found above, we can write:

|AB/PQ| = 2/3

|BC/QR| = 3/4

|AC/PR| = 4/5

Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.

To learn more about scale factor please click on below link.

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What is the equation of a line through point (0,5) that is parallel to the line with equation y= x -7

Answers

Answer:

y=x+5

Step-by-step explanation:

Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.

Given that f(x)=x-3 and g(x)=x^2-x, find (f+g)(-2)​

Answers

Answer:

(f + g)(- 2) = 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= x - 3 + x² - x

= x² - 3

Thus

(f + g)(- 2) = (- 2)² - 3 = 4 - 3 = 1

need help asapp I'll brainlist u once u finish !!​

Answers

Answer:

-3*-6*2^2+1

18*4+1

72+1

73

Step-by-step explanation:

2(5*-6*2-3)

2(-30*-1).

2*30

60

4*-6^2*2+2/10

4*36*2+2/10

4*72+2/10

288+2/10

290/10

29

9(-6-2^2)/6

9(-6-4)/6

9*10/6

90/6

15

What is the slope of a line that is parallel to the line y=2/3x+5

Answers

Answer: 2/3

Step-by-step explanation: The slopes of parallel lines are equal/the same but they have different y intercepts

plz help asap nowwww

Answers

Answer:

10 to the power of 5 is 50 so do 50 times 3.8 and 10 to the power of 4 is 40 so do 40 times 5.9

jeana´s calculator display shows the number to the right.
a. express this number in scientific notation.
number to the right is 3.76EE13

Answers

Answer:

3.76EE13 is 3.76 * 10^13

Step-by-step explanation:

Here, we are to express what is written on the calculator in scientific notation.

Mathematically, that would be

3.76 * 10^13

The terms EE13 represent 10^13

I need some help with geometry!

Answers

Answer:

vertical

Step-by-step explanation:

Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down , with the balance paid in 36 monthly payments of $189.40. (a) What finance charge will Jaime pay? (b) What is the APR to the nearest half percent ?

Answers

Answer:

(a) What finance charge will Jaime pay?

$818.4

(b) What is the APR to the nearest half percent ?

8.5%

Step-by-step explanation:

(a) What finance charge will Jaime pay?

The cash cost is $7500. She decides to finance the project by paying 20% down

Amount paid for down payment = $7500 × 20/100

= $1500

Amount left = $7500 - $1500

= $6000

The balance paid in 36 monthly payments of $189.40.

Hence: $189.40 × 36 = $6818.4

The finance charge = $6818.4 - $6000

= $818.4

(b) What is the APR to the nearest half percent ?

Step 1

Finance charge/ Amount left × 100

= 818.4/6000 × 100

= 13.64

Using the APR table:

The APR to the nearest half percent = 8.5%

Which graph does not represent a function

Answers

Answer:

Graph D

Step-by-step explanation:

it does not pass the linear test to qualify as a function

The graphic D is the one that not represent function

Find the value of a and b

Answers

Answer:

a=58

b=95

Step-by-step explanation:

Please help me with this problem and explain

Answers

Answer: 29

It is very simple, just substitute.

x = 9, y = 10

Replace the x and y in the expression to that.

You get: 9 + 10 + 10. Just add and you will get 29.

Answer:

9+10+10=29

Step-by-step explanation:

We know that x=9, so where ever we see x we know it is 9. We also know that y=10, so where ever we see y we know it is 10. So then we just replace the variables with our numbers then just add them.  That is I got 9+10+10=29

Hope this helps!

What is the slope of line that passes through the points -2,4 and 1,-1​

Answers

Answer:

-5/3

Step-by-step explanation:

-2 to 1 =3   x=3

4 to -1=5   y=-5

y/x      slope=-5/3 or -1  2/3

Q is between P and R. S is between Q and R. R is between Q and T. PT=34, QR=8, and PQ=SQ=SR what is the length of RT.

Answers

Answer:

22

Step-by-step explanation:

Let us interpret this problem;

        ---------------34-------------------

       P         Q       S      R            T

                    ----- 8 --------

        --------  --------- --------

             x        x         x

Let PQ = SQ = SR

                 

Find RT;

    QS + SR = 8

    Also;

          x + x = 8

            2x = 8

              x = 4

To find RT;

    RT = PT - (PQ + QR)

   RT = 34 - (4 + 8) = 34 - 12 = 22

Answer:

22

Step-by-step explanation:

What is a swing state?
A
A state in which two major political parties have similar levels of support
B.
a state that has a large number of electoral votes
C
a state that historically votes for one of the minor political parties
D
a state that hosts the national convention for a political party

Answers

Answer:

swing state

noun

a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.

Step-by-step explanation:

-7a-3=18
Solve for A

Answers

Answer:

a = -3

Step-by-step explanation:

-7a-3=18

Add 3 to each side

-7a-3+3=18+3

-7a = 21

Divide each side by -7

-7a/-7 = 21/-7

a = -3

Answer:

a= -3

Step-by-step explanation:

[-7a - 3 = 18]

Add 3 to both sides

[-7a=21]

Divide both sides by -7

[a= -3]

If a population is _______
a sample of the population could be________
A. those with window seats; all passengers on a bus
B. straight-A students; the entire student body
C. all students at a high school; students at the high school whose ID
number ends in 7
D. baseball players; all athletes

Answers

Answer:

C

Hope This Helps Friend!

The product of two
consecutive whole numbers is
132. What are the two
consecutive whole numbers?

Answers

Answer:

11 and 12

Step-by-step explanation:

x(x+1)=132

x^2+x=132

x^2+x-132=0

(x-11)(x+12)=0

x = 11 or x = -12

when x=11 ,

x+1=12

11*12=132

Need help please hehehehehe

Answers

Answer:

no help kid

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

27. In a class test containing 15 questions 4 marks are given for every correct answer and
(-1) marks are given for every incorrect answer.
(i) Gokul attempts all questions but only 6 of his answers are correct. What is his
total score?
(ii) Neena gets 12 of her answers correct. What will be her score?​

Answers

Answer:

24 and 72

Step-by-step explanation:

just multiple them both by 6

Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour?

Answers

Answer:

About $20.30

Step-by-step explanation:

$466.90 divided by 23.

$20.30

You need to divide 466.90 which is the total amount for 23 hours and then divide that by 23

Need help with 5-8 with working out will be marking brainliest

Answers

Answer:

hope to have helped you:)

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