Use the substitution method to solve the system of equations choose the correct ordered pair

Find the equation of the linear function represented by the table below in slope-intercept form.

Alex787 [66]

Answer:

Let's first find the slope.

-13 - (-8) / 2-1

-5/1

-5

The slope is -5.

The y intercept, or where the line crosses the y=axis, is equal to -3.

So, the equation is y=-5x-3

Let me know if this helps!

7 0

3 years ago

A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. What is the probability that someone could pull a white marbl

frozen [14]

Answer:

The probability of getting white marble in the first try and red marble in the second try (without replacement) is $\frac{3}{20}$

Step-by-step explanation:

Given: A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles.

The total number of marbles in the bag = 6 + 6 + 4 = 16

Someone is pull a marble.

The probability of getting a white marble P(W)= $\frac{The number of favorable outcomes}{The total number of possible outcomes}$

P(W) = $\frac{6}{16}$

Then that marble kept it (with out replacement).

Now the total number of marbles in the bag = 6(red) + 5(white) + 4(blue) = 15

In the second try, the probability of getting a red marble P(R) = $\frac{6}{15}$

These two events are dependent, because the out comes of the first event influences the outcome of the second event.

So, the probability that someone could pull a white marble from the bag, keep it, and then pull a red marble on the second try = P(W) *P(R)

= $\frac{6}{16} *\frac{6}{15}$

Now we can multiply the fractions and simplify.

= $\frac{36}{240}$

Here GCF of 36 and 240 is 12. So divide both the numerator and the denominator by 12, we get

= $\frac{3}{20}$

So, the probability of getting white marble in the first try and red marble in the second try (without replacement) is $\frac{3}{20}$

3 0

4 years ago

Benito and Tyler are painting opposite sides of the same fence. Tyler has already painted 19 1/2 feet of his side of the fence w

natali 33 [55]

Answer:

Step-by-step explanation:
Let x be the number of minutes after which both sides have equal number of feet painted,
∵ One side of the fence is painted by Benito,
His speed = 15 ft/min
So, the number of feet painted in one side after x minutes = 15x,
Now, second side of the fence is painted by Taylor,
The feet he already painted = ,
Taylor's speed = 11 ft/min
Thus, the number of feet painted in second side after x minutes = ,

Hence, it will take minutes for both sides to have an equal number of feet painted.

5 0

3 years ago

Read 2 more answers

Answer the following questions.

serg [7]

39 is <span>312% </span>of 12.5

To find this you just divide 12.5 into 39 which gives you 3.12. To change that to a percentage you multiply by 100 which gives you 312%

7.5 is <span>102% </span>of 7.38

To find this you just divide 7.38 into 7.5 which gives you 1.0162, which I rounded to 1.02. To change that to a percentage you multiply by 100 which gives you 102%

I hope this helped! :)

6 0

3 years ago

Select the correct answer from each drop-down menu.

ohaa [14]

Answer: Polygon 3 and polygon 4 are similar to polygon 1.

Step-by-step explanation:

3 0

2 years ago