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Akimi4 [234]
3 years ago
8

Coffee cost $18.96 for 3 pounds was the cost of per pound of coffee let X be the number of pounds of coffee if I buy the total o

f the cost of expound draw a graph of the proportional relationship between the number of pounds of coffee and the total cost of you can use technology to do this work where can you see the cost per pound of coffee in the graph what is it

Mathematics
2 answers:
mylen [45]3 years ago
5 0
X= 1 pound of coffee
3x=$18.96
divide both sides by 3
x= $6.32
for every pound of coffee you buy, it costs $6.32
here is a graph where it is mirror flipped due to my camera
it is linear and grows at a constant rate

sesenic [268]3 years ago
4 0

Answer:

We know that 3 pounds of coffee cost $18.96. We can use the rule of three to find the cost per pound

x=1lb\frac{\$18.96}{3lb}=\$ 6.32

This means that one pound of coffee costs $6.32.

Having this ratio of change, we can express a linear function that models this problem

y=6.32x

The image attached shows the relationship between these two variables, which has a linear behaviour.

Where y represents cost in dollars, and x represents pounds.

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Angle x is a third quadrant angle such that cos x = -1/5.
Yuki888 [10]

Starting from the formula

\cos^2(x)=\dfrac{1+\cos(2x)}{2}

We can divide all the angles by 2 and we get

\cos^2\left(\dfrac{x}{2}\right)=\dfrac{1+\cos(x)}{2}

And finally

\cos\left(\dfrac{x}{2}\right)=\pm\sqrt{\dfrac{1+\cos(x)}{2}}

Angle x is a third quadrant angle, meaning that it is somewhere between 180 and 270. This implies that x/2 lies between 90 and 135. So, x/2 is a second quadrant angle, and its cosine is negative. This means that we can update the previous equation to

\cos\left(\dfrac{x}{2}\right)=-\sqrt{\dfrac{1+\cos(x)}{2}}

You know that

\cos(x)=-\dfrac{1}{5}

so, plug that value into the expression and you'll get cos(x/2).

4 0
3 years ago
Priya has picked 1 1/2 cups of raspberries, which is enough for 34 of a cake. How many cups does she need for the whole cake?
Anton [14]

Answer:

She needs 2 cups of raspberries.

Step-by-step explanation:

Consider the provided information.

Priya has picked 1 1/2 cups of raspberries, which is enough for 3/4 of a cake.

So this can be written as:

1\frac{1}{2} \text{ Raspberries}=\frac{3}{4}\text{ Cake}

\frac{3}{2} \text{ Raspberries}=\frac{3}{4}\text{ Cake}

Multiply both the sides by \frac{4}{3}.

\frac{4}{3}\times\frac{3}{2} \text{ Raspberries}=\frac{4}{3}\times\frac{3}{4}\text{ Cake}

2 Raspberries = 1 cake

Hence, she needs 2 cups of raspberries.

5 0
3 years ago
Let p: the book is interesting and q: the book has pictures. The notation p ∧ q represents the statement “The book is interestin
MatroZZZ [7]
This is a Logic Problem. So we need to use operators to solve this problem. There are several operators in logic. Operators can be <em>monadic or dyadic</em>. A <em>monadic operator</em> operates on a single simple statement. Other operators will all be <em>dyadic operators </em>because they operate on two simple statements. 

So we have the following simple statements:

p: the book is interesting
q: the book has pictures

Thus, let's solve each notation.

First. p ∧ q

<u>Conjunction operator.</u> <span>The conjunction operator creates a compound statement such that in order for the whole statement to be true, <em>each simple statement must be true. </em>

</span><u>Symbol:</u> & (also ∧)
<u>Parts of conjunction:</u> <span>Two simple statements joined by the conjunction symbol. 
</span>
<u>Answer:</u>

<span>p ∧ q: The book is interesting and the book has pictures.

</span>Second. p ↔ q

<u>Bi-conditional operator:</u> The bi-conditional operator creates a compound statement such that in order for the whole statement to be true <em>each simple statement has to have the same truth value.</em> 

<u>Symbol:</u> ↔ 
<u>Parts of bi-conditional:</u> Two simple statements joined by the bi-conditional symbol. 

<u>Answer:</u>

p ↔ q: The book is interesting if and only if the book has pictures.

Third. p ∨ q

<u>Disjunction operator:</u> The disjunction operator creates a compound statement that is <em>true if either simple statement is true but false if both simple statements are false.</em>

<u>Symbol:</u> ∨
<u>Parts of disjunction: </u>Two simple statements joined by the disjunction symbol

<u>Answer:</u>

p ∨ q: The book is interesting or the book has pictures.

Fourth. p → q

<u>Conditional operator:</u> T<span>he conditional operator creates a compound statement that sets up a condition for something to be true. <em>If the condition is met, the statement is true.</em>
</span>
<u>Symbol:</u> →
<u>Parts of conditional:</u> <span>Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the </span><em>antecedent</em><span> and the second simple statement is called the </span><em>consequent</em><span>.</span>

<u>Answer:</u>

p → q: If the book is interesting then the book has pictures.
8 0
3 years ago
Read 2 more answers
the temperature dropped 2°F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
Assoli18 [71]

Answer:

-12 °F

Step-by-step explanation:

To find the total change in temperature, multiply 6 by -2, since it dropped 2 degrees each hour for 6 hours.

6(-2)

= -12

This means -12°F was the total number of degrees the temperature dropped.

4 0
3 years ago
Read 2 more answers
The March family go out for dinner, and their bill comes to $118.40. If they leave a 20% tip, how much is the tip they leave?
erica [24]

Answer:

tip amount = $23.68

Step-by-step explanation:

t = tip percentage (as decimal, so 5% would be 0.05)

c = cost

tip amount = c * t

tip amount = (118.40) * (0.20) = $23.68

hope this helps :)

6 0
2 years ago
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