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4 years ago

X divided by x+3 equals 4 divided by x+5

Mathematics

1 answer:

noname [10]4 years ago

4 0

Answer:

x=-4, 3.

Step-by-step explanation:

x/(x+3)=4/(x+5)

cross product

4(x+3)=x(x+5)

4x+12=x^2+5x

x^2+5x-4x-12=0

x^2+x-12=0

factor out the trinomial,

(x+4)(x-3)=0

zero property,

x+4=0, x-3=0,

x=0-4=-4

x=0+3=3

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3 years ago

The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a

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Answer:

Range of the function is:

{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}

Step-by-step explanation:

Given that:

Seating capacity of the car = 6

Entrance fee per person = $45.25

Parking fee per car = $10

Leah is accompanied by $x$ friends.

So, the total cost can be modeled as the following linear function:

$y=45.25x+10$

Now, the value of $x$ i.e. number of friends going with Leah can be any of the following:

0, 1, 2, 3, 4 or 5 (because maximum capacity of the car is 6).

Leah is also going.

So, total number of people can be 1, 2, 3, 4, 5 or 6.

Therefore, the table of $x, y$ can be:

$\begin{center}\begin{tabular}{ c c}x & y \\ 1 & 55.25 \\ 2 & 100.50 \\ 3 & 145.75 \\ 4 & 191 \\ 5 & 236.5 \\ 6 & 281.50 \\\end{tabular}\end{center}$

Here, the value of $y$ is nothing but the range of the function.

Therefore, the range of the linear function is:

{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}

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3 years ago

Anna has 4 bags of 100 crackers, bags of 10 crackers, and 3 crackers that aren’t in bags. How many crackers does she have

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Step-by-step explanation:

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3 years ago

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3 years ago

Lynn takes out a loan for $7540 that charges an annual simple interest rate of 6.5%. She does not make any payments for 2 1/2 ye

Amanda [17]

Answer:

The Amount after 2 $\dfrac{1}{2}$ years is $8765.25

Step-by-step explanation:

Given as :

The principal loan amount = p = $7540

The rate of interest = r = 6.5%

The time period of loan = t = 2 $\dfrac{1}{2}$ years = $\dfrac{5}{2}$ years = 2.5 years

Let The Amount after 2.5 years = $A

Now,<u> From Simple Interest method</u>

Simple Interest = $\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}$

Or , s. i = $\dfrac{\textrm p\times \textrm r\times \textrm t}{100}$

Or, s.i = $\dfrac{\textrm 7540\times \textrm 6.5\times \textrm 2.5}{100}$

Or, s.i = $\dfrac{122525}{100}$

Or, s.i = $1225.25

So, The simple interest = s.i = $1225.25

Now, Again

∵ Amount = Principal + interest

So, A = $7540 + $1225.25

∴ A = $8765.25

So, The Amount after 2 $\dfrac{1}{2}$ years = A = $8765.25

Hence,The Amount after 2 $\dfrac{1}{2}$ years is $8765.25 Answer

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4 years ago