The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?

Answer:

Perpendicular H = 5.244 m (Approx)

Step-by-step explanation:

Given:

Hypotenuse = 9.4 m

Base = 7.8 m

Find:

Perpendicular H

Computation:

Perpendicular H = √Hypotenuse² - Base²

Perpendicular H = √9.4² - 7.8²

Perpendicular H = √Hypotenuse² - Base²

Perpendicular H = 5.244 m (Approx)

Answer:

I think the answer is J

Step-by-step explanation:

Answer:

The last one or

a+8=16

Step-by-step explanation:

Subsitute a for 8 and solve

Answer:

Step-by-step explanation:

the last one

8+8=16

a+8=16

Answer:

Step-by-step explanation:

it is 12.5

Answer: the answer is 12.5%

Answer: 18

Step-by-step explanation:

Answer:

s=18

Step-by-step explanation:

Solve for  s  by simplifying both sides of the equation, then isolating the variable.

Brainly pls :)

Answer:

Im not sure i love fractions lol

Step-by-step explanation:

Answer: 6 students in each van

Step-by-step explanation: Sx5=30

Hey there!

The solution to the system is [tex](\frac{1}{2}, 13)[/tex]

To solve the system, we can multiply the second equation by -1:

[tex]-2x - y = -12[/tex]

Then, we add the two equations together, and solve for x:

[tex]4x = -2[/tex]

[tex]x = \frac{-1}{2}[/tex]

Now, we plug the x value into one of the equations, and solve for y:

[tex]2(\frac{1}{2} ) + y = 12[/tex]

[tex]-2 + y = 12[/tex]

[tex]y = 13[/tex]

Now we know that the solution to the system is [tex](\frac{1}{2}, 13)[/tex]

Hope it helps and have an amazing day!

Answer:

(-1/2, 13)

Step-by-step explanation:

Multiply the 2nd equation by -1, obtaining the following system:

6x + y = 10

-2x  - y = -12

------------------

Combine like terms, obtaining:

6x + y = 10

-2x  - y = -12

------------------

4x     = -2

Dividing both sides by 4 yields x = -2/4, or x = -1/2

Substituting -1/2 for x in the second equation yields:

2(-1/2) + y = 12, or

-1 + y = 12.  Then y = 13, and the solution is

(-1/2, 13)

Answer:

p = 1

Step-by-step explanation:

one. 2-1 would equal 1 so p would have to be 1 exactly

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

Answer:

Step-by-step explanation:

i think u got the question wrong cuz all ud have to do is add 2.4+9 which is 11.4 +4n

Answer:

length=91

width=2

Step-by-step explanation:

182/2=91

91*2=182

Answer:

[tex]x=-6,\\y=6[/tex]

Step-by-step explanation:

Rewrite the system of equations as:

[tex]\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}[/tex]

Subtract the second equation from the first to isolate [tex]x[/tex]:

[tex]-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}[/tex]

Plug in [tex]x=-6[/tex] into any of the equations above and solve for [tex]y[/tex]:

[tex]-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}[/tex]

Verify that the solution pair [tex](-6, 6)[/tex] works [tex]\checkmark[/tex]

Therefore, the solution to this system of equations is:

[tex]x=-6,\\y=6[/tex]

Answer:

zero property of addition

Step-by-step explanation:

Answer: (3, 7)

Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)

Have a nice day! :)

Answer:

The answer is C

Step-by-step explanation:

I may be wrong but you need to line the decimal

Answer:

4.83333333333

Step-by-step explanation:

oh boy, that wasnt very fun to type. you get the idea. its a lot of threes.

Step-by-step explanation:

So let's keep the missing number as x

So the ratio becomes 3x:4x

And according to the question,

3x + 4x = 35

7x = 35

x = 35/7

x = 5

So to find the number of boys:- 3 * 5 = 15

Number of girls:- 4 * 5 = 20

Therfore, Difference = 20 - 15

= 5 students

Hope you understood :)

Answer:

5 more girls than boys

Step-by-step explanation:

When you think of ratio, imagine it this way. A ratio literally means a fraction. So, we can visualise it a similar way: a pie. Or a pizza, if you like.

In the pie, there are two groups. One are the boys and one are the girls. When you say their ratio is 3:4, it means that for every 3 boys there are 4 girls. This means that the number of boys can be represented as 3 units and the number of girls as 4 units. We just do not know how many students one unit represent, but any one unit is equal in a ratio, no matter how many groups there are.

Hence, imagine the pie as being divided into 3 slices + 4 slices. That makes 7 slices. Now we need to find out how many students forms one slice.

We know that the whole pie is made up of 35 students. There are 7 slices in the pie. Hence, to find the number of students in a slice, simply divide 35 by 7:

35/ 7 = 5

We now know one slice, or one unit, has 5 students.

Now multiply the value of the unit by how many units each group is made up of to find how many students there are in each group. 3 x 5 = 15. 4 x 5 = 20. One cool trick here is to add up the values again to see if it fits to the original sum. This helps you check your working.

We now know there are 20 girls and 15 boys, Hence, there are 20–15 = 5 more girls than boys.

Answer:

Step-by-step explanation:

W = 1.5t + 10

slope = 1.5

Every month, the baby gains 1.5 pounds.

Answer:

12

Step-by-step explanation:

its just how it is

Answer:

30 times

Step-by-step explanation:

It will take 6 spoonfuls to make one cup of flour, so you multiply 6 by 5 to get 30 spoonfuls.

Hope this helps

9514 1404 393

Answer:

  k(w) = (w +3)²

Step-by-step explanation:

The name of the function is k, and its input is w, so the left side of the equal sign will be ...

  k(w)

This is said to be the square of the sum w+3, so the right side of the equal sign will be ...

  (w +3)²

The function equation in function notation is ...

  k(w) = (w +3)²

Answer:

k(w) = (w +3)²

I took the test

Answer:

[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Discontinuities

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}[/tex]

Step 2: Simplify

When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

[tex]\color{skyblue}{\boxed{\tt{ANSWER:}}}[/tex]

Pre-Algebra

Order of Operations: BPEMDAS

Terms/Coefficients

Factoring

Calculus

Discontinuities

^_^ ❤

Answer:

all are a polynomial function and

1.the degree is 3 and number of term is 4

2. 1 and 3

3. 1 and 4/3

4. 2 and -4

5. 2 and 1

Answer:

[tex]m = 200 + 20j[/tex]

[tex]r = 350 + 15j[/tex]

Number of jobs is 30

Step-by-step explanation:

Variable representation

Let Mark's total earnings for moving be m

Let Ryan's total earnings for moving be r

Represent the number of jobs with j

Setup equation

Mark:

[tex]Initial\ Savings = 200[/tex]

[tex]Rate = 20[/tex]

So, the total savings is:

[tex]m = 200 + 20j[/tex]

Ryan

[tex]Initial\ Savings = 350[/tex]

[tex]Rate = 15[/tex]

So, the total savings is:

[tex]r = 350 + 15j[/tex]

To get the number of jobs they save the same amount.

We have:

[tex]m = r[/tex]

Substitute values for m and r

[tex]200+20j = 350+15j[/tex]

Collect Like Terms

[tex]20j - 15j = 350 - 200[/tex]

[tex]5j = 150[/tex]

Divide both sides by 5

[tex]j = \frac{150}{5}[/tex]

[tex]j = 30[/tex]

Hence, the number of jobs is 30

Answer:

Step-by-step explanation:

Answer:

5n

Step-by-step explanation:

Step one:

Given data

Solve the problem

6n - n

The expression is an algebraic expression, since all the terms are the same, we want to perform a subtraction operation on the terms

so

6n-n= 5n

The answer is clearly no listed in the options