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Gelneren [198K]
3 years ago
15

Wayne is solving a system of linear equations.

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
If you use the property of substitution, you can get (-2, 6.5) as your answer. Substitute the value of X (-2) in the initial equation and solve for Y.

Y= -3/4 (-2) +5  ( I am sure you inadvertently put the Y here also)
Y= 6/4 + 5
Y = 6.5
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Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b
Ede4ka [16]

Answer:

  • <u>After 1.7 hours</u>

Explanation:

<u>1. Calculate the average speed of train B</u>

  • 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

<u>2. Build a table</u>

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

<u>3. Write the equation</u>

The time, when the two trains meet, is the same for both trains:

                  \dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles

<u>4. Calculate the time:</u>

  • x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0
3 years ago
Translate in to Algebraic equation. I had some money and I gave away $20 the first day, gained 3 times my original amount on the
prohojiy [21]
Let x represent the amount of money you originally had. The algebraic expression would be: x-20+3×=80.
If you want to solve the equation, it would be: 4x=100, and x=100÷4, which equals 25. So your original money was $25.
5 0
3 years ago
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liraira [26]

Answer:

it's 11

Step-by-step explanation:

8 0
3 years ago
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nika2105 [10]
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6 0
3 years ago
Adam borrowed $5,600 from the bank. The bank charges 4.2% simple interest each year.
Igoryamba

Answer:

$235.2

Step-by-step explanation:

Given data

Principal=  $5,600

Rate= 4.2%

Time= 1 year

The expression for the simple interest is given as

SI= PRT/100

substitute

SI= 5600*4.2*1/100

SI= 23520/100

SI=$235.2

Hence after 1 year he will pay $235.2

4 0
3 years ago
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