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umka2103 [35]
2 years ago
9

Paul bought : student discount card for the bus. The card allows him to buy daily bus passes for $1.40.

Mathematics
1 answer:
tekilochka [14]2 years ago
8 0
Paul spend 22.4 on student discount card.
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Write an equation to represent the number puzzle. Use x as the
k0ka [10]
<h3>The equation is:</h3><h3>x^2 - 7x + 12 = 0</h3><h3>The number is 3 or 4</h3><h3><em><u>Solution:</u></em></h3>

Given that,

7 added to the square of a number is equal to 7 times the number,  minus 5

Let "x" be the unknown number

From given,

7 added to square of x = 7 times the x minus, 5

7 + x^2 = 7x - 5

Solve the above equation

x^2 -7x +7+5 = 0\\\\x^2 - 7x + 12 = 0

Split the middle term

x^2 -3x - 4x + 12 = 0\\\\Group\ the\ expressions\\\\(x^2-3x) -(4x - 12)  = 0\\\\Take\ the\ common\ factor\ out\\\\x(x -3) -4(x -3) = 0\\\\(x-3)(x-4) = 0

We have two solutions

x - 3 = 0

x = 3

And

x - 4 = 0

x = 4

Thus number is 3 or 4

7 0
3 years ago
The completely factored form of 2d^4 + 6d^3 - 18d^2 - 54d is
Pachacha [2.7K]
The first step we take is to factor out a GCF:

2d(d³ + 3d² - 9d - 27)

Now, we can factor what's in the parenthesis by grouping (don't forget to keep the 2d we factored out):

2d[d²(d+3) -9(d+3)]
2d(d²-9)(d+3)

d²-9 can still be factored because it is the difference of two squares:

2d(d+9)(d-9)(d+3)

That is the completely factored form.
3 0
3 years ago
A bus travels 6 hours at a constant speed of 36 miles per hour. How far does the bus travel?
Amanda [17]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>a </u><u>bus </u><u>takes </u><u>6</u><u> </u><u>hours</u><u> </u><u>to </u><u>travel </u><u>a </u><u>particular</u><u> </u><u>distance </u><u>with </u><u>a </u><u>constant</u><u> </u><u>speed </u><u>of </u><u>3</u><u>6</u><u> </u><u>km/</u><u>hr</u>

  • To calculate - <u>the </u><u>total </u><u>distance </u><u>travel </u><u>by </u><u>the </u><u>bus</u>

We know that ,

\bold{\longrightarrow \: speed =  \frac{distance}{time}}  \\

<u>this </u><u>formula</u><u> </u><u>can </u><u>be </u><u>transformed</u><u> to</u><u> </u><u>find</u><u> </u><u>out </u><u>distance</u><u> </u><u>,</u><u> </u><u>as </u><u>follows </u><u>~</u>

\bold {\: \longrightarrow \: distance = speed  \times time}

now ,

<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula </u><u>state</u><u>d</u><u> </u><u>above </u><u>,</u>

\bold{\longrightarrow \: distance = 36  \times 6} \\  \\ \bold{\longrightarrow \: distance = 216 \: km}

thus ,

<u>the </u><u>bus </u><u>travels </u><u>a </u><u>distance</u><u> </u><u>of </u><u>2</u><u>1</u><u>6</u><u> </u><u>km</u><u> </u><u>in </u><u>6</u><u> </u><u>hours</u>

hope helpful ~

6 0
1 year ago
Read 2 more answers
There are 96 blue paperclips in a bag. The number of blue paperclips is 4 times the number of yellow paperclips that are in the
Furkat [3]

Answer:

△ is 24. I found this out by dividing 96 by 4, since the number of blue paperclips is 4 times the amount of yellow paperclips. A multiplication equation that can be used is 4x=96. X is the number of yellow paperclips. Hope this helped!

Step-by-step explanation:

3 0
3 years ago
Please help!! I don’t understand how to do this:((
kotykmax [81]
Multiply 6times 6 to get your answer
8 0
3 years ago
Read 2 more answers
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