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3 years ago

Can you solve this problem and explain how to? (C is 1/7)

Mathematics

2 answers:

SOVA2 [1]3 years ago

4 0

Answer:

1/7

Step-by-step explanation:

15 total marbles, yellow is 6/15 and blue is 5/14 (since you removed it and didnt replace the yellow)

(6 x 5) / (15x14)

30/210

divide by 30

1/7

- Gage Millar, Algebra 2 tutor

wel3 years ago

3 0

Answer:

C. $\frac{1}{7}$

Step-by-step explanation:

5 + 6 + 4 = 15

$\frac{6}{15}$ for a yellow marble

Removing a yellow marble:

15 - 1 = 14

6 - 1 = 5

$\frac{5}{14}$ to get a blue marble

6/15 × 5/14 = 2/15

C. $\frac{1}{7}$

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Natasha2012 [34]

The general equation of the line:
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The first choice is the correct answer

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3 years ago

Read 2 more answers

A vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per ho

SashulF [63]

Answer:

$y=-4x+18$

Step-by-step explanation:

Let x be the number of hours.

We have been given that a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

To graph the amount of liquid first of all we will find the equation of line for our given situation.

Since we know that equation of a line in slope-intercept form is: $y=mx+b$ , where, m = slope and b = y-intercept or initial value.

As liquid is leaving the vat at a rate of 4 gallons per hour, this means that amount of liquid in vat in decreasing 4 gallons per hour. As slope is also known as rate of change, so slope of our given line will be -4. A negative slope means that with each increase in x our y will decrease by 4.

As initially there were 18 gallons of liquid in vat, so our y-intercept will be 18.

Upon substituting our given values in slope-intercept form of equation we will get,

$y=-4x+18$

Let us find x-intercept by substituting y=0 in our equation.

$0=-4x+18$