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


In the past month, Kaitlin rented 3 video games and 6 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Kaitlin spent on video game and DVD rentals in the past month?

Answers

Kaitlin rented 3 video games and 6 dvds.

2.60 x 3 = 7.50 (dollars and cents)

3.30 x 6 = 19.80 (dollars and cents)

add them together to get the total cost in the past month.

(to find the answer you know the price for a single video game/DVD so what you do is multiply those prices times how much they bought)

ex: $2.60 x 3 <-- the amount of games she bought.

i hope this helps you.

Answer:

Kaitlin spent $27.60 on video games and DVDs in the past month.

Step-by-step explanation:

We know the price of one video game, one DVD, and the amount that was rented in the past month.  

To find the total cost of the video games, multiply:

$2.60 x 3

= $7.80 spent on video games in the past month

To find the total cost of the DVDs, multiply:

$3.30 x 6

= $19.80 spent on DVDs in the past month

To find the total cost, add the total cost of video games and DVDs together:

$7.80 + $19.80 = $27.60

Conclusion: Kaitlin spent $27.60 in the past month on video games and DVDs.

Solve for x:
−2(x + 3) = −2(x + 1) − 4.

A. 2
B. 3
C. All real numbers
D. No solution

Answers

Answer:

C

Step-by-step explanation:

Any value of x makes the equation true.

-13 (q + 4) = 7 q + 16

Answers

Answer:

q=3.4

Step-by-step explanation:

-13q+-52=7q+16

-52=20q+16

-68=20q

-68/20 is -3.4

A mobile dealer sells a mobile at a discount of 25% on its marked price and earns a profit of 10%. If the marked price of the mobile is 8800, what will be the cost price of the mobile? 6075​

Answers

Given :

Discount = 25% .

Profit = 10%.

Marked price of mobile = Rs.8800.

Find :

Cost Price of the mobile

Solution :

As we know that, their is no direct relation between Mark price and cost price . so we have to work on selling price of the mobile.

So,

→ MP of mobile = Rs.8800

→ Discount = 25% .

than,

→ SP of mobile = MP * (100 - discount%) / 100

→ SP of mobile = 8800 * (100 - 25) / 100

→ SP of mobile = 88 * 75

→ SP of mobile = Rs.6600 .

Now,

→ SP of mobile = Rs.6600

→ Profit % = 10% .

than,

→ CP of mobile = SP * 100 / (100 + Profit%)

→ CP of mobile = 6600 * 100 / (100 + 10)

→ CP of mobile = (6600 * 100) / 110

→ CP of mobile = 60 * 100

→ CP of mobile = Rs.6000 . (Ans.)

Hence , Cost Price of the mobile is Rs.6000.

I hope it will help you.

Regards.

A percentage is a way to describe a part of a whole. The cost price of the mobile phone is 6,000.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

Let the cost price of the mobile be represented by x.

Given that dealer earn profit of 10% on its cost price, therefore, we can write the selling price of the mobile as,

Selling price = Cost price + Profit

                     = x + 10% of x

                     = 1.10x

Also, given that the mobile dealer sells a mobile at a discount of 25% on its marked price. Therefore, we can write the selling price as,

Selling price = Marked price - Discount

                     = Marked price - 25% of marked price

                     = 8,800 - 25% of 8,800

                     = 8,800 - 0.25(8,800)

                     = 8,800 - 2,200

                     = 6,600

Now, Comparing the sales price we got from above two equation, therefore, the cost price of the mobile can be written as,

1.10x = 6,600

x = 6,600/1.10

x = 6,000

Hence, the cost price of the mobile phone is 6,000.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ2

PLEASE HELP !!!!
Determine whether each equation is correct

Answers

Answer:

yes

Step-by-step explanation:

yes you are correct

A jacket costs $34.85 plus sales tax. After sales tax, the jacket costs $37.29.

What is the approximate sales tax rate?

Answers

Equation:
37.29 = 34.85 + 34.85(x)

Solving:

37.29 = 34.85 + 34.85x
2.44 = 34.85x
x = 0.07

The approximate sales tax rate is 7%.

Answer:

the approximately sales tax rate is 7%

At 8:00, the temperature was -6°. Three hours later, the temperature dropped 13°. What is the temperature at 11:00?

Answers

Answer:

-19 degrees

Step-by-step explanation:

13+6=19

you would need to add the negative since it said dropped in temperature and the temperature was already negative.

would you rather drive a car at the rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second, and why? which one is correct

Answers

Answer: 15 meters per second

Step-by-step explanation: Kilometers are 1,000 times larger than meters

solving equations with variables on both side! due today​

Answers

Answer:

x=5

Step-by-step explanation:

2-3x = -x-8

Add 3x to each side

2-3x+3x= -x+3x-8

2 = 2x-8

Add 8 to each side

2+8 = 2x-8+8

10 =2x

Divide by 2

10/2 =2x/2

5 =x

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?

Answers

Answer:

1.6hours

Step-by-step explanation:

We know that Speed= distance/ time

But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.

And the distance is given as 800 miles

Then, what we need is to substitute the given Distance into the equation of time.

t= 1/500d. Where d= 800 miles

t= (1/500) × 800 miles

t= 800 miles/500

t= 1.6hours

Hence, it will take the airplane to travel 800 miles , 1.6hours

by looking at the pattern , find the missing term​

Answers

Answer:

where the pattern??????

Answer:

where is the pattern

Step-by-step explanation:

PLEASE help me with this! (50+ Points)
The given table of values represents a linear equation. What is the slope?

Answers

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

thus any values of x and y in the table can be used.

slope=(11-9)÷(4-3)

slope= 2.

Answer:

slope=∆y/∆x

thus any values of x and y in the table can be used.

slope=(11-9)÷(4-3)

slope= 2.

Find the value of x.

Answers

in this problem x equals 10

Step-by-step explanation:

jd

Answer:

13

Step-by-step explanation:

What is the equation of the line passing through the points (2, -1) and (5, -10) in slope intercept form

Answers

Answer:

-3x+5

Step-by-step explanation:

y2-y1/x2-x1

Which of Talia's steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio for the slope. Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answers

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The correct question is:

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).

Step 2: Choose another point on the line, such as (1, 3).

Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .

Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.

Step 2 is incorrect because it uses a point that is not on the line.

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.

Step 2 is also correct.

Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.

Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2

Therefore the correct point-slope form is:

y – y1 = m(x – x1)

y – 3 = 2(x – 1)

Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

c

Step-by-step explanation:

took the quiz!!

I WILL GIVE CROWN WHO ANSWERS CORRECTLY

Answers

The answer is B,
you need to change the equation to y=mx+b
we have 6x-4y=2 what we need to do is take the 6x and put it on the other side so it’ll be: -4y=-6x+2 we then divide everything by -4 and the answer should be: y=1.5x-0.5.
you then change the second equation. Which is -2y+3x=1 we are going to follow the steps as the first equation we did so you divide everything by -2 because we want the y to be 1. It should look like this y=1.5x-0.5.
As you can see they are the same equation so that means they are in the same line so by that they’re be infinitely many solutions.

Hope this helps.

please help! i need a circular flow model for amazon done and i have no idea how to do it! if somebody can make one for me it will be greatly appreciated!!

Answers

Answer:

Ill do it

Step-by-step explanation:

It costs my whole life insurance, 24,00 dollars, a brand new private jet, and gummy bears

Which linear function has the steepest slope?
A. y = negative 8 x + 5
B. y minus 9 = negative 2 (x + 1)
C. y = 7 x minus 3
D. y + 2 = 6 (x + 10)

Answers

Answer:

Step-by-step explanation:

Option A

Answer:

Option A

Step-by-step explanation:

   

PLEASE ANSWER WILL GIVE BRAINLIEST!!!

What does a correlation coefficient of 0.76between two assets indicate?

Only one of the assets is profitable.
As one asset increases, the other decreases.
The two assets are weakly correlated.
The two assets are highly correlated.

Answers

D. The two assists are highly correlated.
D I’m pretty sure is the answer

7s+5c=181.40
9s+1c=132.80

Answers

Answer:

s=12.7

c=18.5

hope this helps :)

The number of hours, H, that milk stays fresh is a function of the surrounding temperature, T. In degrees centigrade, this relationship is shown by the formula H(T) = 180 ∙ 10(−.04T) . How many hours will newly pasteurized milk stay fresh when stored at 8°C?

Answers

Answer:

The number of hours that the milk will stay fresh is 86.2 hours

Step-by-step explanation:

Given the following function;

[tex]H(T) = 180*10^{(-0.04T)}[/tex]

where;

T, is the  temperature in degrees centigrade

H is the number of hours

At 8°C the number of hours that the milk will stay fresh is given by;

[tex]H(T) = 180*10^{(-0.04T)}\\\\H(8) = 180*10^{(-0.04*8)}\\\\H(8) = 180*10^{(-0.32)}\\\\H(8) = 180*0.4786\\\\H(8) = 86.2 \ hours[/tex]

Therefore, the number of hours that the milk will stay fresh is 86.2 hours.

help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Hey!

so for the first one its 60°, and for the second one its 1/6

Write the product as a power:

(xy) (xy) (xy) (xy)

Answers

Answer:

(xy)⁴

Step-by-step explanation:

We have 4 xy terms multiply together. That means we can rewrite it as a power of 4.

Answer:
x^4y^4

Explanation:
We can rewrite this equation grouping all the x variables together and all the y variables together because they are all being multiplied.

(xy) (xy) (xy) (xy)
=x*x*x*x*y*y*y*y
=x^4y^4

I hope this helps! Please comment if you have any questions.

Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
WILL GIVE BRAINIEST IF RIGHT :)


A three and one fourth + 2x ≤ 6

B three and one fourth + 2x ≥ 6

C three and one fourthx + 2 ≤ 6

D three and one fourthx + 2 ≥ 6

Answers

Answer:

option 2 is correct-three and one fourth + 2x ≥ 6.

Can you please answer this my homework is due ✨

Answers

2:1100
3:1650
6:3300
It is all multiplying with the number 550

A recipe for servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?


Plz help

Answers

2/3 multiplied by 18 gives you 12

An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. whats the slope and y intercept ​

Answers

Answer:

The slope is -2000 and the y-intercept is 30,000

Step-by-step explanation:

slope-intercept form: y=-2000x+30,000

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5\,\text{cm}18.5cm18, point, 5, start text, c, m, end text long by 15\,\text{cm}15cm15, start text, c, m, end text wide. Martene put 3885\text{ cm}^33885 cm 3 3885, start text, space, c, m, end text, cubed of water in the aquarium. How deep is the water in the aquarium? \text{ cm} cm

Answers

Answer:

[tex]Depth = 14[/tex]

Step-by-step explanation:

Given

[tex]Length = 18.5cm[/tex]

[tex]Width = 15cm[/tex]

[tex]Volume = 3885cm^3[/tex]

Required

Determine the deep of the aquarium

Volume is calculated as thus:

[tex]Volume = Length * Width * Depth[/tex]

Substitute values for Volume, Length and Width

[tex]3885 = 18.5 * 15 * Depth[/tex]

[tex]3885 = 277.5 * Depth[/tex]

Solve for Depth

[tex]Depth = 3885/277.5[/tex]

[tex]Depth = 14[/tex]

Hence;

the depth is 14cm

Answer:

14

Step-by-step explanation:

Got it right in Khan

Find three consecutive odd integers whose sum is -45. Find the largest
integer

Answers

x = the first integer.

x + 2 = the second integer.

x + 4 = the third integer.

x + x + 2 + x + 4 = -45

Combine like terms.

3x + 6 = -45

Subtract 6 from both sides.

3x = -51

Divide both sides by 3

x = -17

x + 2 = -17 + 2 = -15

x + 4 = -17 + 4 = -13

The largest integer is -13

You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minute. Seventy-five papers have to be delivered each day on the route. Let n be the number of papers you deliver. A) use the verbal model to write an equation that you can use to find out how long it will take the two of you working together to deliver the papers.

Answers

Answer:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

Step-by-step explanation:

Given that:

4 papers are delivered by first person in one minute.

Rate of delivering one paper

or

Time taken to deliver one paper can be calculated by the formula:

[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]

Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]

3 papers are delivered by second person in one minute.

Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]

Total number of papers = 75

Number of papers delivered by first person = [tex]n[/tex]

So, number of papers delivered by second person = ([tex]75-n[/tex])

Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper

Time taken by first person = [tex]n\times \frac{1}{4}[/tex]

Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]

So, Total time taken can be written as:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

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