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3 years ago

a machine can reduce 21 inches of ribbon every 3 minutes. How many feet of ribbon can the machine make in one hour?

1 answer:

3 0

Okay. Let's make a proportion for this. So we can do 21/3=x/60. Let's multiply cross way. So 21 x 60 is 1260. We multiply 3 by x to get 3x. So our equation will be 3x=1260. We can isolate the equation by 3, and 1260 divided by 3 is 420. So x=420. We then have to convert into feet. So 420 divided by 12 is 35. So it would be 35 feet. Therefore, the machine can make 35feet of ribbon in a hour.

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There are 28 Students in math class. 22 of them passed the test. what percentage passed the test.

Rufina [12.5K]

78.57142857%
the answer is above
you do 22/28

5 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form

Alex787 [66]

Answer:

$y=-\frac{2}{5}x-\frac{1}{5}$

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

m is the slope

b is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

$m = -\frac{2}{5}$

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

$y=-\frac{2}{5}x + b$

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-3,1). When x of the line is -3, y of the line must be 1.
(2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: $y=-\frac{2}{5}x + b$ . $b$ is what we want, the - $-\frac{2}{5}$ is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

(-3,1). y = mx + b or $1=-\frac{2}{5} * -3 + b$ , or solving for b: $b = 1-(-\frac{2}{5})(-3)$ . $b = -\frac{1}{5}$ .
(2,-1). y = mx + b or $-1=-\frac{2}{5} * 2 + b$ , or solving for b: $b = 1-(-\frac{2}{5})(2)$ . $b = -\frac{1}{5}$ .

See! In both cases, we got the same value for b. And this completes our problem.

The equation of the line that passes through the points (-3,1) and (2,-1) is $y=-\frac{2}{5}x-\frac{1}{5}$

8 0

2 years ago

A hypothesis test is to be performed for a population proportion. For the given sample data and null hypothesis, compute the val

liberstina [14]

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

The sample size is n = 415

The sample proportion is $\r p = 0.49$

Now

The null hypothesis is $H_o : p = 0.3$

The alternative hypothesis is $H_a : p \ne 0.3$

The test statistics is mathematically evaluated as

$t = \frac{\r p - p }{ \frac{\sqrt{ p (1- p )} }{n} }$

substituting values

$t = \frac{0.49 - 0.3 }{ \sqrt{ \frac{0.3 (1- 0.3 ) }{415} }}$

$t = 8.446$

8 0

3 years ago

5x-9=15+11x<br><br> The solution for x is x=?

Wittaler [7]

Answer:

x = -4

Step-by-step explanation:

5x-9 = 15+11x

5x - 11x = 15 + 9

-6x = 24

x = -4

5 0

2 years ago

Read 2 more answers

What are the zeros of the function defined by 2x + 11x- 6?

asambeis [7]

Note --> As you're writing 'zeroes' , I assume there is a typing mistake and you've given a Quadratic equation in the question

$f(x) = 2 {x}^{2} + 11x - 6 \\ \\ f(x) = (2x - 1)(x + 6) = 0$

Hence , the roots are 1/2 and -6
The graph attached confirms the same ,

Hope it helps you :)

6 0

3 years ago