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jekas [21]
3 years ago
8

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the

spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
A s= 3/ 10m
B s= 10/3m
C m=3/10s
D m=1/30s​
Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:

Step-by-step explanation:

I'm assuming that the length of the spring is s and the mass of the object is m. If that be the case, the direct variation equation, which a line btw, is

s = km where k is the constant of proportionality. We have to solve for k, the slope of the line, in order to determine the model for this situation.

9 = k(30) so

k=\frac{9}{30}=\frac{3}{10} Now that we know, the slope of the line, we can rewrite the equation with the slope in place:

s=\frac{3}{10}m, choice A.

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3 years ago
Robert is a salesperson. He receives 7% commission on each piece of electronic equipment he sells. How much commission will he r
Shalnov [3]

Answer:

He receives $476 in comission.

Step-by-step explanation:

This question can be solved using a rule of three.

$6,800 is 100% = 1. x, which is his commision, is 7% = 0.07. Then

6800 - 1

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3 years ago
Please help ill give brainliest answer!
LenKa [72]

Answer:

OC=48

RK=100

Step-by-step explanation:

We can use proportions to find both OC and RK.

\frac{OK}{KY} =\frac{OC}{RY}

\frac{12}{24} =\frac{OC}{96}

24OC=1152

OC=48

\frac{KC}{RK} =\frac{OK}{KY}

\frac{50}{RK} =\frac{12}{24}

12RK=1200

RK=100

7 0
3 years ago
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skad [1K]

Answer:

435=107+82+246

Step-by-step explanation:

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2 years ago
PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. Wh
SVETLANKA909090 [29]

Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as   x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

A quadratic equation is generally shown in the form of ax^{2} +bx + c = 0

For example, if you saw the equation  7x^{2} + 3x + 20 = 0

7 would be a, 3 would be b, and 20 would be c.

To solve the equation above, you would fill in the quadratic formula as such, x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}

Then you could solve for x.

2. What part in the Quadratic Formula is the discriminant?

The discriminant is the equation under the square root on the quadratic formula, b^{2} - 4ac

It is tells us whether there are two solutions, one solutions, or no solutions.

3.  How do you know the number of solutions based on the value of the discriminant?

To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, 7x^{2} + 3x + 20 = 0

We will plug the values into the discriminant.

3^{2} - 4(7)(20) = -551

Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.

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