Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

Answers

Answer 1

Answer:

7.5m

Step-by-step explanation:

Set up a proportion and cross multiply to find the unknown

Hope this helps

Answer 2

The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given question,

Elongation of spring in 180 newtons = 5 cm

The ratio of elongation to force applied = 5/180

The force the second time is 270 newtons.

Let's say the elongation at this time is x cm.

The ratio of elongation to force applied = x/270

Both ratios must be the same.

Therefore,  x/270 = 5/180

x = 270/36 = 7.5 cm

Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".

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Related Questions

2(x + 4) < 4x - 6 smallest integer

Answers

Answer:

The smallest integer is 8

Step-by-step explanation:

2( x + 4 ) < 4x - 6

4x - 6 > 2x + 8

2x > 14

x > 7

The smallest integer is 8

A carpenter is building shelving units for a garage a small shelf requires a total of eight boards to build while large one uses 13 boards he has up to 47 boards to use for this project Select the any quality in standard form that describes the situation use the given numbers in the following variables

Answers

Answer:

8x + 13y has to be less than or equal to 47.

Step-by-step explanation:

At 9 AM,one share of Starbucks stock was $26. By 2 PM the price was $29. The rate the Starbucks stock value was changing is ___ per hour.

Answers

Answer:

60 cents per hour

Step-by-step explanation:

final price minus starting price is 3 divide by 5 hours to get .60

6. Nathan buys packages of bacon. This chart shows the numbers of
packages and the total cost to ship.
Number of Packages Shipping Cost
()
1
$8
2
$16
3
$24
4
$32
Which statement is true?
A The data is proportional, and the unit rate is $8 per package.
B. The data is not proportional, and the unit rate is $8 per package.
C. The data is proportional, and the unit rate is 8 packages per dollar.
D. The data is not proportional, and the unit rate is 8 packages per
dollar.

Answers

Answer:

A  The data is proportional and the unit rate per package is $8   This is because y= 8x

Step-by-step explanation:

/y relationship is no of packages = 1                                                                          x/ = total cost to ship = 8    = 8/1  = 16/2 = 24/3 = 32/4 means they are all proportional to 8/1 = 8    y = 8x  see graph attached  

Please help me on this

Answers

Answer:

4/8 and 5/10

Step-by-step explanation:

since it is 1/2, take the top number and multiply it by two, 4x2=8 5x2=10 and since they equal to the second or bottom number it is equivalent

Find the arc length of the subtending arc for an angle of (3pi)/8 on a circle of radius 4.

Answers

Answer:

3pi/2

Step-by-step explanation:

(4) 3pi/8 =3pi/2

Name the marked angle in 2 different ways

Answers

Answer:

Step-by-step explanation:

Angle ECB or angle BCE should do it

what is the answer to
an=3-2(n-1)

Answers

All numbers greater or equal to 1

Find the equation of the line that goes
through the points:
(-1,4) and (-8,11)

Answers

See the picture above for the solution.

4y²=49 solve the equation​

Answers

Answer:

y = [tex]\frac{7}{2}[/tex] & y= - [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact form:

[tex]y = \frac{7}{2} , -\frac{7}{2}[/tex]

Decimal form:

[tex]y = 3.5,-3.5[/tex]

Mixed number form:

[tex]y = 3\frac{1}{2} , -3\frac{1}{2}[/tex]

GIVING BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

[tex]3 \sqrt{2} [/tex]

Answer:

B = 3

Step-by-step explanation:

([tex]\sqrt{3}[/tex])([tex]\sqrt{6}[/tex]) = [tex]\sqrt{18}[/tex]

[tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex]

Colleen divided integer a by −2 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b.


a
b
= 6

Answers

Answer:

hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.

Step-by-step explanation:

8. Oscar purchased two hamburgers for 55.75 X each and two milkshakes for $5,40 each including sales tax. After paying, he received $0.70 back. How much money did Oscar give the sales clerk?
A. $12.85
B. $25.00
C. $23.60
D. $11.45​

Answers

Answer:

I may not be right but I think its C. or D.

Step-by-step explanation:

Sorry i Don't have a good explanation

Find the slope of the line that passes through (1, 2) and (10, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

8/9

Step-by-step explanation:

10-2/10-1=8/9

slope=8/9

Answer:

8/9

Step-by-step explanation:

Here,

(1,2)=(x1,y1)

(10,10)=(x2,y2)

Now,

Slope(m)=(y2-y1)/(x2-x1)

=(10-2)/(10-1)

=8/9

what is the value of x in the equation -2/9x = 2/5?

a. -1 4/5
b. -5/9
c. 5/9
d. 1 4/5​

Answers

Is the letter B, I hope I help you.

free question
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
How many cups of red paint should be added to 1 cup of white paint?

Answers

Answer:

3/4 I think its that

Step-by-step explanation:

its a guess

Plss answerrrr thankyou!!

Answers

Answer:

Step-by-step explanation:

1 5/8 = 13/8

so

5/8 + 8/8

10/8 + 3/8

i could go on forever but.

do ya want to impress ya teacher?

500/800 + 800/800

and

2/4 + 4/4

Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.

Answers

Answer:

Where is the Table?

Step-by-step explanation:

The number of students which prefer action-movies to scary movies are 25 students.

To predict how many more students prefer action movies to scary movies, we calculate difference based on proportion of students who prefer action movies from surveyed group and then apply that proportion to total number of students in school,

Number of students who prefer action movies = 14,

Total surveyed students = 40,

Total school students = 200,

Proportion of students who prefer action movies = (Number of students who prefer action movies) / (Total surveyed students),

Proportion of students who prefer action movies = 14/40 = 0.35,

Predicted number of students who prefer action movies in school = Proportion of students who prefer action movies × Total school students

Predicted number of students who prefer action movies = 0.35×200 = 70,

Predicted number of students who prefer scary movies in the school = (Number of students who prefer scary movies) / (Total surveyed students) × Total school students,

Predicted number of students who prefer scary movies = (9/40)×200 = 45

Difference = (Predicted number of students who prefer action movies) - (Predicted number of students who prefer scary movies),

Difference = 70 - 45 = 25,

Therefore, the correct prediction is that 25 more students prefer action movies to scary-movies.

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The given question is incomplete, the complete question is

Abigail surveyed 40 students about their favorite kind of movie. The results are shown in the table. If there are 200 students in the school, predict how many more students prefer action movies to scary movies.

the restraunt bill is $56.39 what is a tip for 20% of bill

Answers

$11.28 so in total it would be $67.67

A number y is multiplied by -0.8. The product is -49.
What is the value of y?

Answers

(-0.8)y = -49

Divide both sides by -0.8

y=61.25

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: -15

Step-by-step explanation: in the picture

Step-by-step explanation:

Basically,

expand the brackets; multiply everything in the bracket by -3,

-3(x+5)=-3x+-15

= -3x-15

There ya go, hope this helps...

Name the part of AKTH.
TS is a(n) [blank].

PLEASE PLEASE HELP !!!

Answers

Answer:

I'm pretty sure that's an angle.

Step-by-step explanation:

What is the value of z?

Answers

yes but i’m and carter are doing

Chef Tashariah is cooking for a Sunday brunch she knows that 22 pancakes can feed 8 people

Answers

Answer: 22 people

Step-by-step explanation:

we can solve the problem by setting missing

plss help me for with this math..​

Answers

Answer:

Step-by-step explanation:

3. x^2 +3x=54

x^2 +3x -54 = 0

(x-9)(x+6) = 0

x = 9 and x = -6

4. X^2 - 10x + 21 [(x - 7)(x - 3)

What is the circumference of this circle?



A.
4
1


B.
20
1


C.
2
1


D.
None of the above
E.

Answers

Answer:

It is 2 π r

Step-by-step explanation:

Hope this helps you!!!1

i need all of the answers THANK UU​

Answers

1. C because 3×3=9

9×3=27

27×3=81.....

2. Answer is C explaination in picture number 2

3. D explaination in picture number 1

what does x equel if there are 9 people 2 run away and the remaining number is x

Answers

Answer:

x=7 people

Step-by-step explanation:

x=9-2

Genie is making cookies and brownies. Each cookie uses 8 grams of flour and each brownie uses 12 grams of flour. She wants to make more than 125 cookies and brownies altogether. If Genie has a total of 2,000 grams of flour, which system of inequalities models correctly the number of cookies, c, and brownies, b, she can make? ) C+b> 125 A) 8c + 12b s 2000 c+b2 125 8c + 12b s 2000 B) c+b< 125 C) 8c + 12b s 2000 c+bs 125 D) 8c + 12b s 2000

Answers

The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Let c represent the number of cookies and let b represent the number of brownies.

Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:

c + b ≥ 125   (1)

Also, Genie has a total of 2,000 grams of flour, hence:

8c + 12b ≤ 2000  (2)

Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

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1. What is 3/4 divided by 1/6

Answers

Answer:

9/2 or 4 1/2

Step-by-step explanation:

3/4 ÷ 1/6 = 3/4 × 63/4 × 6 = 18/418/4 = 9/29/2 = 4 1/2

Therefore, the answer is 9/2 or 4 1/2.

Answer: 3

Step-by-step explanation:

3/4 ÷ 1/6

3/4 × 6/1

Divide 4 and 6 by 2

3/2 × 3/1

3 × 3 / 2 × 1

6 / 2 = 3

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