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oee [108]
3 years ago
12

At a math contest 20problems we’re given each correct answer earned 5 points and 2 points were deducted for each incorrect answe

r Lenore answer all the problem receiving a score of 72 how many correct answer did she have
Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

Answer:

she has 16 correct answer

Step-by-step explanation:

Mathematically ,we can translate this word problem into this system of equations :

\begin{cases}5x-2y=72&\left( 1\right)  \\ x+y=20&\left( 2\right)\end{cases}

\Longleftrightarrow \begin{cases}5x-2y=72&\left( 1\right)  \\ 2x+2y=40&2\times\left( 2\right)\end{cases}

\Longleftrightarrow \begin{cases}7x=72+40=112&\left( 1\right)+2\times(2)  \\ x+y=20&\left( 2\right)\end{cases}

\Longleftrightarrow \begin{cases}x=\frac{112}{7}=16   \\ y=20-x=20-16=4&\left( 2\right)\end{cases}

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Answer:

x * (rate of calories burned) = y

Step-by-step explanation:

The independent variable is the one that isn't being affected and therefore represents the time that Sabir walks and the number of calories he burns. Therefore, we can multiply x by the rate of calories burned to get y. The rate is not provided.

5 0
3 years ago
Given the table of data, determine the function that would most appropriately model the data. x 0 1 2 3 f(x) 1.5 2 2.5 3 linear
azamat

Answer:

  linear

Step-by-step explanation:

The x-values are evenly spaced (1 apart), so it is helpful to look at the differences of the f(x) values.

Successive f(x) values all differ by the constant 0.5, a characteristic of a linear function.

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<em>Comment on differences</em>

The differences of successive y-values are called "first differences". The differences of those are called "second differences". And the differences of those are "third differences." The "degree" of the differences that are constant is the degree of the function describing the sequence.

That is, a sequence (like this one) with constant first differences can be described by a first-degree polynomial, a linear function. If third differences are constant, the sequence is described by a third-degree polynomial, a cubic function.

A square root function will have first differences that decrease by a decreasing amount. Successive differences of differences will continue to decrease, never becoming constant.

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3 0
3 years ago
A business owner paid a total of $7392 in 48 months for her inventory she paid the same amount of money each month how much mone
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Step-by-step explanation:

Since we're trying to find the amount she pays each month, it would be the total money divided by the total months

7392÷48

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3 years ago
Find the surface area of an orange with a 3'' radius.
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Distance formula: Does the point (2, rt sqr. 6 ) lie on the circle shown? Explain.
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Answer:

Thus, the fourth answer choice is the correct one

Step-by-step explanation:

Let's check this, using the Pythagorean Theorem:

"Yes, the distance from (0, 0) to (2, square root 6 ) is 3 units."

Does 2² + (√6)² = 3²?

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