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?

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)

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

Answer:

3pi/2

Step-by-step explanation:

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

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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All numbers greater or equal to 1

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

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

Answer:

x=7 people

Step-by-step explanation:

x=9-2

Answer:

3/4 I think its that

Step-by-step explanation:

its a guess

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

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

Answer:

Step-by-step explanation:

Angle ECB or angle BCE should do it

Answer:

60 cents per hour

Step-by-step explanation:

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

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]

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:

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  

Answer:

9/2 or 4 1/2

Step-by-step explanation:

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

Answer: 22 people

Step-by-step explanation:

we can solve the problem by setting missing

Answer:

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

Step-by-step explanation:

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

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...

Answer:

It is 2 π r

Step-by-step explanation:

Hope this helps you!!!1

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]

See the picture above for the solution.

Answer:

I'm pretty sure that's an angle.

Step-by-step explanation:

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.