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mariarad [96]
3 years ago
9

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair on the graph of the line relating number

of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
Mathematics
2 answers:
Nikolay [14]3 years ago
5 0
<span>number of gallons of gas, x
</span><span>total cost of the gas, y
</span>
3.75x <= 12
       x <= 3.2

<span>The greatest amount of gas Berto can buy is 3.2 gallons</span>
Brrunno [24]3 years ago
4 0

Answer:

(3.2, 12)

Step-by-step explanation:

Total cost for gas = $12

Cost per gallon = $3.75

Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;

Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons

Therefore , the coordinate pair (x, y) = (3.2, 12)

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Answer: a. 1734    b. 477000

Step-by-step explanation:

We know that,

Distributive property : a(b+c)  = ab+ac

a. 17 x 102

=  17 (100+2)

= 17 x 100 + 17 x 2  [Distributive property ]

= 1700+34

= 1734

b. 477×1035 -477×35​

= 477 (1035-35)  [Distributive property ]

= 477 (1000)

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Answer:          D. 8x² + x + 3

Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.

<h2>What are like terms?</h2>

Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.

<h2>Solve</h2>

(4x² + 1) + (4x² + x + 2)      Starting equation from the question

= 4x² + 1 + 4x² + x + 2       Remove brackets

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= 8x² + x + 1 + 2                Add like terms with the same 'x²' variables

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Learn more about adding polynomials here:

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6 0
2 years ago
A train starts from rest and accelerates uniformly until it has traveled 5.6 km and acquired a velocity of 42 m/s. What is the a
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Step-by-step explanation:

Given:

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The graph of the given system of linear inequalities

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<h3>Graph of system of linear inequalities </h3>

From the given information, we are to graph the given system of linear inequalities

The given system of linear inequalities is

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The graph of the given system of linear inequalities

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