Mario travels 180 miles in 2.5 hours. How many miles will he travel in one hour, if the rate is not changed? Explain.
2 answers:
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The question is incomplete hence, I gave you a similar question that will enable you to understand how to treat Linear Equations with Decimals.
<h3>What is a Decimal system within Linear equations?</h3>This is best exemplified by the example below:
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Solution
Step 1 - Remove all decimals by multiplying equation 1 and 2 by 10. This gives us:
Now we have an equation without decimals.
Step 2 - we proceed to solve by elimination.
Assuming:
2x - 3y = 13 ............is Equation 3; and
5x -2y = 23 ............. is Equation 4;
Lets multiply equation 3 by 2; and equation 4 by 3. This gives us
⇒ 4x - 6y = 26 ...............5
15 x + 6y = 69..............6
step 3 - Add equation 5 and 6 to eliminate y.
4x - 6y = 26
<u> 15 x + 6y = 69
</u>19x = 95
solving for x
= 95/19
x = 5
Step 4 - Substitute x into any of the equations to find the value of Y
Using equation 5, we have:
4x - 6y = 26
⇒ 4(5) - 6y = 26
⇒ 20 - 6y = 26
⇒ -6y = 26-20
⇒ y = 6/-6
∴ y = -1
In summary, x = 5; y = -1
Learn more about Linear systems with decimals at:
brainly.com/question/10566339
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Answer:
The correct answer is 5, $10 pens; 1, $3 pen; 94, 50 cents pens.
Step-by-step explanation:
A student has to buy 100 ball point pens and she has $100 to get the job done.
Price of three different pens are $10, $3 and 50 cents or $0.5.
Let the student buy x number of $10 pens and y number of $3 pens. Number of 50 cents pens bought by the student is 100 - x - y. ( x,y 1)
Total amount spent is 10x + 3y + 0.5(100 - x - y) = 100
⇒ 9.5x + 2.5y + 50 = 100
⇒ 1.9x + 0.5y = 10
⇒ 19x + 5y =100
Value of x (in order to hold the equality where both x and y are positive and greater than 1) is 5 and y is 1.
Total number of 50 cents pen bought is 94.
Thus the student buys 5, $10 pens; 1, $3 pen and 94, 50 cents pens.