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2 years ago

A 64-ounce bottle costs $3.45. What is the cost per ounce? Round answer to the nearest cent.

Mathematics

1 answer:

Rufina [12.5K]2 years ago

5 0

Answer:

$0.05

Step-by-step explanation:

3.45 divided by 64

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

3 0

3 years ago

Three men and seven women are waiting to be interviewed for jobs. If they are all selected in random order, find the probabilit

sammy [17]

Answer:

1/50

Step-by-step explanation:

Given that:

Three men: 3
Seven women = 7
Total number of people: 7+3 =10

We need to find the probability that no man will be interviewed until at least two women have been interviewed. So there are two possible probabilities are:

1. One man and two women => P(1 man and 2 women) = 3/10*2/9 = 1/15

2. Three women => P(3 women) = 3/10

Hence, the probability in this situation is: 1/15*3/10 = 1/50

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2 years ago

2+90=? <br> please someone help asap

Oxana [17]

Answer:

92 :)

Step-by-step explanation:

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3 years ago

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The ratio of dogs to cats at an animal shelter is 7 to 5. how many cats are at the shelter if there are 42 more dogs than cats,

Zanzabum

105 cats are in the shelter as 1 = 21 x 5

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3 years ago

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diamong [38]

Answer:

Step-by-step explanation:

there is only 4 of her ponies that are over 96 centimeters but it is not 40 percent but 27 percent because she has 14 ponies not 10 ponies

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