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3 years ago

10

Marcellus sent four faxes to Gem. The first fax took 14 seconds to send, the second fax 19 seconds, the third 16 seconds, and th

e fourth 11 seconds. Use mental math to find out how many seconds it took to fax all four documents to Gem. Explain your reasoning

2 answers:

Scrat [10]3 years ago

8 0

It took 60 seconds to fax all documents to Gem

Step-by-step explanation:

The simple addition has to be done to solve the given problem

Given

total faxes = 4

Time for fax 1: $t_1 = 14\ sec$

Time for fax 2: $t_2 = 19\ sec$

Time for fax 3: $t_3 = 16\ sec$

Time for fax 4: $t_4 = 11\ sec$

The total time t will be:

$t = t_1+t_2+t_3+t_4\\= 14+19+16+11\\= 60\ sec$

Hence,

It took 60 seconds to fax all documents to Gem

Keywords: Time, addition

Learn more about addition at:

#LearnwithBrainly

sweet [91]3 years ago

6 0

Answer: 60 seconds

Step-by-step explanation:

14 +19 +16 +11

= 60 seconds to fax all the document to gem

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Answer:

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Step-by-step explanation:

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The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value

Sladkaya [172]

Given:

The equation is:

$3x-8y=k$

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of <em>k</em>.

Solution:

We have,

$3x-8y=k$

Substituting $x=0$ to find the y-intercept.

$3(0)-8y=k$

$0-8y=k$

$y=\dfrac{k}{-8}$

$y=-\dfrac{k}{8}$

Substituting $y=0$ to find the x-intercept.

$3x-8(0)=k$

$3x-0=k$

$x=\dfrac{k}{3}$

Area of a triangle is:

$A=\dfrac{1}{2}\times base\times height$

The height of the ∆AOB is $OB=\dfrac{k}{8}$ because distance cannot be negative and the base of the ∆AOB is $OA=\dfrac{k}{3}$ . So, the area of the ∆AOB is:

$A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}$

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$\dfrac{k^2}{48}=12$

$k^2=576$

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$k=\pm 24$

Therefore, the value of k is either 24 or -24.

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3 years ago