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2 years ago

A number is multiplied by 20, and that product is added to 5. The sum is equal to the product of 5 and 13.

Mathematics

1 answer:

liubo4ka [24]2 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

First, you will pick the first equation :

(x*20)

Then the next,

(x*20) + 5

Then the last equation,

(x*20) + 5 = 5*13

Then you solve

20x + 5 = 65

20x = 65 - 5

20x = 60

20x/20 = 60/20

x = 3

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The Johnson High School came in second place by scoring 159 points, 3 points less than the winner.

Step-by-step explanation:

Arithmetics

We need to perform a number of basic arithmetics operations and derive conclusions out of the results.

We know that

10 points are awarded for each first-place finish
8 points are awarded for each second-place finish
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Total points: 10*10+6*8+2*7=162 total points

* Johnson High School had 8 first-place finishes, 9 second-place finishes, and 1 third-place finish.

Total points: 8*10+9*8+1*7=159 total points

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Total points: 4*10+5*8+4*7=108 total points

* Lewis High School had 3 first-place finishes, 3 second-place finishes, and 6 third-place finishes.

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Answer:

The two correct options are:

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The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

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The degree of an expression is given based on the highest power in the expression

The given expression is:

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that the degree of the expression is 3

A quadratic function is a function of degree 2. This means that the highest degree in the expression (function) must be 2

Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

This can be done by 2 methods:

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

Comparing the above with the given options, we can conclude that the two correct options are:

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