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Readme [11.4K]
3 years ago
8

How many distinct pairs of perfect squares differ by 35? (the pair $a, b$ is the same as the pair $b, a$.)?

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0
35 has 4 divisors, hence two factor pairs: 1*35 and 5*7. Each corresponds to a set of perfect squares that differ by 35

One pair is ((35±1)/2)^2 = {17^2, 18^2} = {289, 324}
The other is ((7±5)/2)^2 = {1^2, 6^2} = {1, 36}
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The function role is +2 for x, and -1 for y.

Step-by-step explanation:

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Read 2 more answers
There are (4 over 3)2 ⋅ 40 strawberries on a farm. What is the total number of strawberries on the farm? (1 point)
djverab [1.8K]

The total number of strawberries on the farm is approximately 107

<h3>Total strawberries</h3>

The total number of strawberries on the farm can be solved by evaluating the expression (4 over 3)2 ⋅ 40.

Evaluation is the completion of a mathematical operation.

Number of strawberries on the farm = (4 over 3)2 ⋅ 40

= (4/3)2 × 40

= 8/3 × 40

= (8 × 40) / 3

= 320/3

= 106.6666666666666

Approximately,

Number of strawberries on the farm = 107

A strawberry is a sweet, usually red, edible fruit of certain plants of the genus Fragaria.

A farm is a piece of land where plants are cultivated and animals are reared by the farmer.

Therefore, the total number of strawberries on the farm is approximately 107.

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2 years ago
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Vinil7 [7]

Answer:

A: Measure of center, also known as the Median.

3 0
3 years ago
The amount of caffeine consumed from a glass of Diet Pepsi is proportional to the number of ounces that was drank. The table bel
Vilka [71]

Answer:

Constant of proportionality: k=3

Equation: c=3d

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

y=kx

Where "k" is the Constant of proportionality.

In this case, let be "c"  the the amount of caffeine consumed  (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.

So, the equation that represents this relationship will have this form:

c=kd

Then, the first step is to find the Constant of proportionality "k".

Knowing that:

c=24;d=8

We can substitute values into the equation:

24=k(8)

Now, solving for "k", we get:

\frac{24}{8}=k\\\\k=3

Therefore, we can write the following equation that represents that proportional relationship:

c=3d

6 0
3 years ago
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