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Makovka662 [10]
4 years ago
11

On the same day, Parker’s friend, Peggy, was charged $5 for 1 1 2 lb. of gummy candy. Explain in terms of the graph why this mus

t be a mistake.
Mathematics
1 answer:
Elis [28]4 years ago
5 0
This looks like a second half of a question. are you sure this is the full question?
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Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.
Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers a and b whose sum is a prime number p, that their greatest common divisor is greater than 1.

a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\

Since p is a prime number and d>1, then d=p \wedge e+f=1, but we assumed earlier that e,f\in\mathbb{Z^+}, and there are no two positive integers that sum up to 1.

q.e.d.

7 0
3 years ago
• Write an expression that is equivalent to 3(7 + x).<br> 3(7 + x)<br> +<br> ?<br> 2
maksim [4K]

Answer:

21+3x

Step-by-step explanation:

Expand this:

3(7+x)

So it becomes:

21+3x

3 0
3 years ago
Read 2 more answers
The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)
MrRa [10]

radius = 3 feet

rearrange the formula making r the subject

\frac{4}{3} πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

r³ = \frac{3V}{4\pi } = ( 3 × 36π ) / 4π = 3 × 9 = 27

take the cube root of both sides

r = \sqrt[3]{27} = 3


6 0
3 years ago
If an independent-measures design is being used to compare two treatment conditions, then how many different groups of participa
Serhud [2]

Answer:

2 groups and 1 score for each participant

Step-by-step explanation:

An independent measures design is a defined as a research method whereby multiple experimental groups are examined and the participants will only be in one group. Now, each participant will only be affected by one condition of the independent variable during the experiment.

In the question given, we want to use the method I just described to compare two treatment conditions.

This means that there will be two groups and each participant in both groups will be assigned one score.

7 0
3 years ago
The price of an Ice cream cone is $3.25, but it cost $3.51 with tax. What is the sales tax rate?
Mekhanik [1.2K]

Answer:

The sales tax is 8%


8 0
3 years ago
Read 2 more answers
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