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3 years ago

Determine if the equations = y represents a proportional relationship

Mathematics

1 answer:

astra-53 [7]3 years ago

8 0

Answer:

15x

Step-by-step explanation:

bob the builderr

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When a fraction of 17 is taken away from 17 , what remains exceeds one-third of seventeen by six.

Andrew [12]

Answer:

The fraction is less than $\frac{17}{18}$ .

Step-by-step explanation:

Let the fraction is $\frac{1}{n}$ .

Given that when the fraction of 17 is subtracted from 17 itself, then the remaining will be greater than one-third of 17 divided by six.

Therefore, by the given condition,

$17 - \frac{17}{n} > \frac{1}{3}(\frac{17}{6} )$

⇒ $17 - \frac{17}{n} > \frac{17}{18}$

⇒ $1 - \frac{1}{n} > \frac{1}{18}$

⇒ $\frac{1}{n} < 1 - \frac{1}{18}$

⇒ $\frac{1}{n} < \frac{17}{18}$

Therefore, the fraction is less than $\frac{17}{18}$ . (Answer)

5 0

3 years ago

What is the product of (x - 5) and (x - 4)? Use the model to find the result. pls put the model answers too.

solong [7]

Answer:

${x}^{2} - 9x + 20$

Step-by-step explanation:

$(x - 5)(x - 4)$

$x(x - 4) - 5( x - 4)$

${x}^{2} - 4x - 5x + 20$

${x}^{2} - 9x + 20$

5 0

2 years ago

A telemarketer makes a sale on 25% of his calls. If he makes 300 calls in a night, what is the probability that he will make mor

Nina [5.8K]

Answer: 0.7258

Step-by-step explanation:

Given : A telemarketer makes a sale on 25% of his calls.

i.e. p=0.25

He makes 300 calls in a night, i.e. n=300

Let x be a random variable that represents the number of calls make in night.

To convert the given binomial distribution to normal distribution we have :-

$\mu=np=300(0.25)=75$

$\sigma=\sqrt{p(1-p)n}=\sqrt{(0.25)(1-0.25)(300)}\\\\=\sqrt{56.25}=7.5$

Now, using $z=\dfrac{x-\mu}{\sigma}$ , the z-value corresponds to x= 70 :-

$z=\dfrac{70-75}{7.5}\approx-0.67$

The z-value corresponds to x= 90 :-

$z=\dfrac{90-75}{7.5}\approx2$

By using the standard normal distribution table for z, the probability that he will make more than 70 sales but less than 90 sales:-

$P(-0.67$

Hence, the probability that he will make more than 70 sales but less than 90 sales= 0.7258

6 0

3 years ago

Solve the integer 15 + 9 + ( -9)

vampirchik [111]

15+9 = 24
24+(-9) = 15

6 0

3 years ago

Can someone please help me?

Pachacha [2.7K]

Hello there!

So, remember that m = the slope, and slope intercept form is represented as y = mx + b. To find the y intercept, place the values of x, y, and the slope into the equation.

The first step, ____ = (____)____ + b should look like 3 = (2/5)10 + b once you plug the values for your x and y values and slope.

The second step, ___ = ____ + b should look like 3 = 4 + b since you should multiply 2/5 x 10.

The final step, -1 = b should look like since you subtracted 4 from both sides of the equation.

Y = 2/5x - 1 is your final equation. I hope this helps, have a great rest of your day!

7 0

3 years ago