The force required to compress a spring varies directly as the change in the length of the spring. If a force of 15 pounds is required to compress a certain spring 5 ​inches, how much force is required to compress the spring 8 ​inches?

Answers

Answer 1

The equation will be F = 3x. Then the force required to compress the spring 8 ​inches will be 24 pounds.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A spring's length directly relates to the amount of force needed to compress it.

Let F be the force and x be the compressed length. Then the equation will be

F ∝ x

F = kx

If a force of 15 pounds is required to compress a certain spring 5 ​inches. Then the value of the variable k will be

15 = 5k

k = 15/5

k = 3 pounds per inch

Then the equation will be

F = 3x

The force required to compress the spring 8 ​inches will be

F = 3 (8)

F = 24 pounds

The force required to compress the spring 8 ​inches will be 24 pounds.

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Related Questions

What is measure 1, 2, 3, 4, 5?

Answers

1 = 27
2 = 27
3 = 27
4 = 27
5 = 126

Answer:

The triangles formed are iscocleles triangles making their bases the same angle measures. Additionally, RST anf RGT are congruent since they are each equal to 1/2 of RQTS

We also know that the interior angles of any triangle add up to 180°

Therefore,

m<R + m<T + 126 = 180

m<R + m<T = 54

Since m<R and m<T are equal, R and T must be equal to 27

m<R=27

m<t=27

Therefore,

m<1=27

m<2=27

m<3=27

m<4=27

m<5=126

Step-by-step explanation:

Ella earned $59.70 selling handmade bracelets at the craft fair. She sold a total of 6 bracelets. If all the bracelets were priced the same, how much did she charge for each bracelet?

Answers

I think its 9.94 i think

Find the LCM of 17, 11, and 5

Answers

Answer:935

Step-by-step explanation:

Answer: 935 is the LCM of 5, 11, and 17.

Step-by-step explanation:

Firstly, I am going to use the easier method of finding numbers that meet up with each other.

So, by adding the first number to itself and then to the new number, we can use a list-type method. Let's begin.

5, 10, 15, 20, 25, 30, 35, 40, 45..... 920, 925, 930, 935.

11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143..... 913, 924, 935.

17, 34, 51, 68, 85, 102, 119..... 884, 901, 918, 935.

The list goes on all the way until we reach 935, which in this case, is our Least Common Multiple. This takes quite a while, so you should use an online and/or auto-calculator instead of doing the challenge on your own.

To recap, using the listing method to find LCMs, the LCM of 5, 11, and 17 is 935.

The triangles are similar.


What is the value of x?


Enter your answer in the box.

x =

Answers

I set up a proportion, the answer should be x=21

U
Question 9
10 pts
Solve this system of equations using substitution algebraically. Check your answer using
substitution.
3x + 4y = 36
y= x+8

Answers

Answer:

x = 4/7

y = 60/7

Step-by-step explanation:

3x + 4y = 36

y = x + 8

Substitute the second equation into the first since it already has the y isolated for you:

3x + 4(x + 8) = 36

3x + 4x + 32 = 36

7x = 4

x = 4/7

Take the answer you got from the equation above and plug that into the second equation:

y = 4/7 + 8

y = 60/7

To check just LS/RS both equations:

3(4/7) + 4(60/7) = 36

12/7 = 240/7 = 36

252/7 = 36

36 = 36

LS = RS

60/7 = 4/7 + 8

60/7 = 60/7

LS = RS

-70+45+x=100
I need this right away!

Answers

Answer:

x=125

Step-by-step explanation:

Combine like terms on left side firs/ this use the addition dist property
-35+x=100
-35+x+35=100+35
X=135

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt

Answers

Answer:

20 x 3 > x

Step-by-step explanation:

x is the price of the skirt in the second part

Carrie can weed a garden in 7 hours, and her mother can do it in 3 hours. How long will take the two of them working together to weed the garden?

Answers

Answer:

10 hours.

Step-by-step explanation:

7 + 3 = 10.

Who's excited for Christmas?!?! :D
if not why?

Answers

I’m very excited, I get to see my brothers so that’s fun

Answer:

me

Step-by-step explanation:

52 POINTS KIND OF EASY QUESTION

Answers

9b . Simplify the first and second term above the division. Then simplify the bottom part. Then divide the final terms.

Compare the two numbers - 7.5 and -7 ​

Answers

Answer:

Well -7>-7.5

Step-by-step explanation:

Negative numbers are that the Humber that is closest to 0 is the greatest. Like in -7 and -7.5, the -7 is closer to 0 so its greater.

Answer:

the answer to your question is -7.5<-7

Explain how to solve | 2d | +3<7.

Answers

Answer:

d<2 and d>−2

Step-by-step explanation:

| 2d | +3<7

Subtract 3 from both sides

| 2d | <4

Then absolute value rule

-4<2d<4

2d>-4 and 2d<4

divide both sides by 2

d<2 and d>−2

HAVE A WONDERFUL DAY

BRAINLIEST PLEASE

Help me with this bs

Answers

Answer: It’s A bc it’s a

(11/18-4/9)+1/6 pemdas fraction

Answers

Answer:

1/3

Step-by-step explanation:

11/18 - 4/9 + 1/6

= 1/6 + 1/6

= 1/3

The value of the fraction is 1/3.

What is PEMDAS Rule?

PEMDAS rule is the same as BODMAS rule.

PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.

Given fraction is : (11/18 - 4/9) + 1/6

We have a parenthesis (brackets) in the given expression. First solve the operations inside the bracket.

And multiply the fraction 4/9 with 2 on both numerator and denominator.

(11/18 - 4/9) + 1/6 = (11/18 - 8/18) + 1/6

                           = 3/18 + 1/6

There is only an operation of addition left.

Multiplying both numerator and denominator of 1/6 with 3,

(11/18 - 4/9) + 1/6 = 3/18 + 3/18

                           = 6/18

                           = 1/3

Hence the value of the fractional expression given is 1/3.

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helppp meeeeeeeeeeee​

Answers

B is the correct answer

Answer:

1st choice

Step-by-step explanation:

$8.75 for each bag which means 8.75x

plus a fee of $18.50 which means + 18.50

can someone find the length for a

Answers

Answer:

12because of something ask a tutor

I don't know

Segments and angles......

Answers

Answer:

QT= 12

Step-by-step explanation:

In the math RS=QR because R is the mainpoint of Qs

here given

RT=10 , RS=2, QR=2 BECAUSE {RS=QR} AND QR+RS=4=QS

NOW

RT-RS= 10-2=8=ST

SO THE ANSWER IS

ST+QS=8+4=12

Answer:

[tex] 12[/tex]

Step-by-step explanation:

Hence R is the midpoint,it divides QS into two equal parts.Therefore QS=QR+RS And QR= RS

RT=10(given) RT=RS + ST QT=QR+RS+ ST QT= QR+RT QT=2+10

QT=12

[tex]hope \: it \: helps \\pls \: mark \: as \: brainliest.....[/tex]

PLEASE HELP THIS IS DUE AT 11:00

Answers

Your answer is 3 feet
The answer is 3 feet long

If the relationship is proportional, what is the missing value from the table?
х
8
9
16
14?

Answers

Answer: I think it is 12

if -
3- 12, what is the value of x?
4
00
O 18
0 24

Answers

Answer:

8

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{12}[/tex]

We make the denominator the same by multiplying [tex]\frac{2}{3}[/tex] by 4.

[tex]\frac{8}{12}[/tex] = [tex]\frac{x}{12}[/tex]

Thus, x = 8.

82-L
A local church had a bake sale. They sold
pies for $10 and cakes for $8. If on the first
day 40 items were sold for a total of $356, how
many cakes did the church sell on the first day
of the bake sale?
A. 12
B. 28
C. 18
D. 22

Answers

The answer is D. They sold 22 cakes

factorise xy-3x²+2x​

Answers

[tex]xy-3x^2+2x[/tex]

Factor by pulling out the x-term.

[tex]x(y-3x+2)[/tex]

Arrange as we get -

[tex]x(-3x+y+2)[/tex]       ----------> Answer

Which phrase best describes taxable income?

Answers

Adjusted gross income minus any allowable tax deductions, describes the taxable income.

Taxable Income :

The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers. Investment and unearned income are also included.

To determine the taxable income we use :

Taxable Income = Gross Sales – Cost of Goods Sold – Operating Expense – Interest Expense – Tax Deduction/ Credit.

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I'm not sure if this is correct or not. I just learned how to plot these equations. Please tell me if i'm right or wrong and explain if possible.

Answers

Answer:

The graph you have is wrong. This is the right graph.

Hope this helps! Have a nice day, good luck, and stay safe!

A sample is treated as large sample, when its size is...

Answers

Answer:

A sample is considered large when n≥30. is called the margin of error of the estimate.

Step-by-step explanation:

I hope that was the answer you are looking for. If it is possible could you please mark me brainliest?

A sample is treated as large sample when its size is n ≥ 30.

Here, A sample is treated as large sample.

What is large sample?

The sample size n is greater than 30 ( n ≥ 30 ) is known as large sample.

Now,

A sample is treated as large sample when its size is n ≥ 30.

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Juan rented a paddleboard for $5.75 per hour plus a $17.50 fee. Write an expression that shows how much it will cost Juan to rent the paddleboard for x hours. Then evaluate the expression for 3 hours

Answers

Answer:

17.50 + 5.75x

$34.75

Step-by-step explanation:

17.50 + 5.75x

17.50 + 5.75(3)

17.50 + 17.25

34.75

The required algebraic expression is $5.75x + $17.50 which it will cost Juan to rent the paddleboard for x hours.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have been given that Juan rented a paddleboard for $5.75 per hour plus a $17.50 fee.

Let x represents the number of hours

According to the given question,

The algebraic expression would be as:

⇒ $5.75 × x + $17.50

⇒ $5.75x + $17.50  ....(i)

Now we have to evaluate the expression for 3 hours.

Substitute the value of x = 3 in the above expression model (i), and we get

⇒ $5.75 × 3 + $17.50

⇒ $17.25 + $17.50

⇒ $34.75

Thus, the required algebraic expression is $5.75x + $17.50

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What is an equation of the line that passes through the points (5,-8)
and (-5,4)? Put your answer in fully reduced form.

Answers

Answer:

y = [tex]-\frac{6}{5}[/tex]x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Points: (5, -8), (-5, 4)

Slope: [tex]-\frac{6}{5}[/tex]

y = [tex]-\frac{6}{5}[/tex]x + b

-8 = [tex]-\frac{6}{5}[/tex] ( 5 ) + b

b = -2

y = [tex]-\frac{6}{5}[/tex]x - 2

I WILL GIVE 20 POINTS!! PLEASE HELP!

Answers

Answer:

the second option.

[tex]-3\leq x\leq 0[/tex]

Step-by-step explanation:

distiance between (-8,-2) and (6,-1) as a radical (square
root).

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~6 - (-8)~~)^2 + (~~-1 - (-2)~~)^2} \implies d=\sqrt{(6 +8)^2 + (-1 +2)^2} \\\\\\ d=\sqrt{( 14 )^2 + ( 1 )^2} \implies d=\sqrt{ 196 + 1 } \implies d=\sqrt{ 197 }[/tex]

Subtract:

(6 + 3x) - (-4 - 7x

Answers

Answer:

10+10x

Step-by-step explanation:

(6+3x)-(-4-7x)=

6+3y+4+7x=

10+10x

Answer:

10x+10

brainlest

Step-by-step explanation:

(6 + 3x) - (-4 - 7x

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