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DIA [1.3K]
2 years ago
6

12/35 = 36/X find x step by step

Mathematics
2 answers:
Zigmanuir [339]2 years ago
8 0

Answer:

x = 105°

Step-by-step explanation:

Question :

\frac{12}{35} =\frac{36}{x}

You can use cross multiplication to solve this.

Let us solve now

\frac{12}{35} =\frac{36}{x}

12 × x = 35 × 36

12x = 1260

Divide both sides by 12.

x = 105°

Hope this helps you :-)

erica [24]2 years ago
5 0

Answer:

The value of x is <u>105</u>.

Step-by-step explanation:

<u>Concept</u> :

Here, we will use the below following steps to find a solution using the transposition method:

  • <u>Step 1</u> :- we will Identify the variables and constants in the given simple equation.
  • <u>Step 2</u> :- then we Simplify the equation in LHS and RHS.
  • <u>Step 3</u> :- Transpose or shift the term on the other side to solve the equation further simplest.
  • <u>Step 4</u> :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.
  • <u>Step 5</u> :- Then the result will be the solution for the given linear equation.

\begin{gathered}\end{gathered}

<u>Solution</u> :

\begin{gathered} \begin{array}{l}\dashrightarrow{\sf{\dfrac{12}{35}  =  \dfrac{36}{x}}}\\\\\dashrightarrow{\sf{12 \times x = 35 \times 36}}\\\\\dashrightarrow{\sf{12x = 35 \times 36}}\\\\\dashrightarrow{\sf{x = \dfrac{35 \times 36}{12}}}\\\\\dashrightarrow{\sf{x = \dfrac{35 \times \cancel{36}}{\cancel{12}}}}\\\\\dashrightarrow{\sf{x = 35 \times 3}} \\\\\dashrightarrow{\sf{x = 105}} \\  \\\star\small{\underline{\boxed{\sf{\red{X = 105}}}}}\\  \end{array}\end{gathered}

Hence, the value of x is 105.

\rule{300}{1.5}

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The spread of a flu virus on a college campus is modeled by y= 5000/(1+4999e^-0.8t), where y is the number of students infected
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Answer:

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Step-by-step explanation:

       5000

y=  -----------------

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a)  after 8 days  means t =8


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y=  -----------------

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Rounding to the nearest student

y = 537 students


b)  1/2 the student population  means y =2500  (The 5000 is the student population)

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2500=  -----------------

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Multiply each side by  (1+4999e^-0.8t)

2500 (1+4999e^-0.8t) = 5000

Divide each side by 2500

(1+4999e^-0.8t) = 5000/2500

(1+4999e^-0.8t) = 2

Subtract 1

(4999e^-0.8t) = 2-1

(4999e^-0.8t)=1

Divide by 4999

(4999/4999e^-0.8t)=1/4999

e^-0.8t=1/4999

Take the natural log of each side

ln(e^-0.8t)=ln(1/4999)

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Divide by -.8

-.8/-8t = -1/.8 *ln(1/4999)

t = -1/.8 *ln(1/4999)

t≈10.6462

Rounding, it will take 11 days



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