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

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>Solution:</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 - a bus takes 6 hours to travel a particular distance with a constant speed of 36 km/hr

To calculate - the total distance travel by the bus

We know that ,

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

this formula can be transformed to find out distance , as follows ~

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

now ,

substituting the values in the formula stated above ,

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

thus ,

the bus travels a distance of 216 km in 6 hours

hope helpful ~

6 0

1 year ago

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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