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3 years ago

13

Write an equation that would represent the following word problem: Billy buys one candy bar for $2 and 3 lollipops. If he spends

$3.98 in total, how much is each lollipop? [USE x AS YOUR VARIABLE - DO NOT USE SPACES IN YOUR ANSWER]

1 answer:

Ksju [112]3 years ago

5 0

3.98 = 2 + 3x

1.98 = 3x

0.66 = x

Each lollipop is 0.66 cents.

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Question 1: Find the equation of the line through point (5,4) and perpendicular to y=−43x−2. Use a forward slash (i.e. "/") for

Mariulka [41]

Answer:

Question 1: y = 3/4x + 1/4.

Question 2: y = 6/5x + 7/5.

Step-by-step explanation:

Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.

Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.

4 = 3/4(5) + b

b + 15/4 = 4

b = 16/4 - 15/4

b = 1/4

So, the equation of the line is y = 3/4x + 1/4.

Question 2: 5x + 6y = -6

6y = -5x - 6

y = -5/6x - 1

As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.

The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.

-1 = 6/5(-2) + b

b - 12/5 = -5/5

b = -5/5 + 12/5

b = 7/5

So, the equation of the line is y = 6/5x + 7/5.

Hope this helps!

8 0

3 years ago

Philip has just started collecting stamps he has 36 stamps so far his uncle Carlo has 1890 Stamps in his collection the number o

Alexxandr [17]

Multiply because it says the word "times" in it.

4 0

3 years ago

Restless Leg Syndrome and Fibromyalgia

Anna11 [10]

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

<em>F</em> = a person with fibromyalgia

<em>R</em> = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

$P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}$

$=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183$

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

3 0

3 years ago

How do you do this?!<br> (2w-1)/(4)=(2-w)

nikklg [1K]

Answer:

w = 3 is your answer.

Step-by-step explanation:

You want to get w by itself.

<em>(2w - 1)/(4) = 2 - w </em><u>You will add the w on both sides.</u>

<em>(3w - 1)/(4) = 2 </em><u>You will multiply 4 on both sides.</u>

<em>3w - 1 = 8 </em><u>You will add 1 on both sides.</u>

<em>3w = 9 </em><u>You will divide 3 on both sides.</u>

w = 3 is your answer.

6 0

2 years ago

which statement is true about the equations –3x 4y = 12 and x1/4 – 1/3y = 1? the system of the equations has exactly one solutio

finlep [7]

If you would like to solve the system of equations, you can do this using the following steps:

-3x + 4y = 12
x * 1/4 - 1/3 * y = 1 ... x * 1/4 = 1 + 1/3 * y ... x = 4 + 4/3 * y
_____________
<span>-3x + 4y = 12
</span>-3 * (4 + 4/3 * y) + 4y = 12
-12 - 4y + 4y = 12
-12 = 12
-12 - 12 = 0
-24 = 0

The correct result would be: <span>the system of the equations has no solution; the two lines are parallel.</span>

4 0

3 years ago