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3 years ago

What is the answer? 6 1/2 ÷ 3/4

Mathematics

2 answers:

german3 years ago

7 0

Answer:

The answer is 8 2/3

Step-by-step explanation:

Hope this helped! :)

kotegsom [21]3 years ago

5 0

Answer:

8 and 2/3

Step-by-step explanation:

6 1/2 turns into an improper fraction which would be 13/2.

Then you turn the division into multiplication using KCF.

KEEP the 13/2

CHANGE the division sign into multiplication

FLIP the 2/3 to its reciprocal 3/2

Then solve the multiplication equation and your answer should be 8 and 2/3.

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Review the graph of the function f(x). Which statement describes the continuity of the function at x = 1?

OLga [1]

Answer:

The function is neither continuous left nor right. continue at x = 1.

in my opinion, that's it I'm not saying it's necessarily true

Step-by-step explanation:

5 0

3 years ago

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The complement of an angle is eight times as large as the angle find the measure of the complement

hammer [34]

Label the 2 angles, one is x and the other is 8x.
90 = 8x + x
90 = 9x
10 =x
10 times 8 = 80. this is 8x.
10(which is x) + 80 (which is the 8x) = 90.

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4 years ago

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Use the given conditions to write an equation in slope-intercept form. slope = -5, passing through (-4,2) My suggestion is to fi

Brut [27]

Answer:

Step-by-step explanation:

Plug-in values in point -slope form ;

$y -y_1=m(x-x_1)\\y - 2 =-5(x-(-4))\\y-2 = -5(x+4)\\y-2 =-5x -20\\y = -5x -20+2\\y = -5x -18$

3 0

4 years ago

Jade invested in the stock market. The weekly change in value of her stock, in dollars, over 4 weeks was +23.65, -22.20, -12.75

Anastasy [175]

Answer:

<h3>The average weekly change in value of Jade's stock in dollars is -1.3225</h3>

Step-by-step explanation:

Given that Jade invested in the stock market.

The weekly change in value of her stock, in dollars, over 4 weeks was +23.65, -22.20, -12.75 and +5.98.

<h3>To find the average weekly change in value of her stock in dollars :</h3>

The average weekly change in value of Jade's stock is given by $Average=\frac{sum of the weekly changes in value of her stock in dollars}{total number of weeks}$

$Average=\frac{23.65+(-22.20)+(-12.75)+5.98}{4}$

$=\frac{23.65-22.20-12.75+5.98}{4}$

$=\frac{29.63-34.92}{4}$

$=\frac{-5.29}{4}$

$=-1.3225$

Therefore Average=-1.3225

<h3>Therefore the average weekly change in value of Jade's stock in dollars is -1.3225</h3>

5 0

3 years ago

An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr

Tanzania [10]

Answer:

x = 0.67 cm

Step-by-step explanation:

Let call " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x and D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x) = ( 8 - 2x ) * ( 3 - 2x ) * x ⇒ V(x) = ( 24 - 16x - 6x + 4x²) * x

V(x) = 4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then V´(x) = 0 ⇒ 12x² - 44x + 24 = 0 ⇒ 3x² - 11x + 6 = 0

We got a second degree equation solving for x

x₁,₂ = [11 ± √ 121 - 72 ] / 6

x₁ = ( 11 + 7 ) / 6 x₁ = 3 we dismiss this solution since according to problem statement one side would become negative

Then

x₂ = ( 11 - 7 ) / 6 ⇒ x₂ = 4/6 ⇒ x₂ = 0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x) = 12x - 44 < 0

Sides of the box

L = 8 - 2x ⇒ L = 8 - 2*(0.67) ⇒ L = 8 - 1.34 ⇒ L = 6.66 cm

D = 3 - 2x ⇒ D = 3 - 2* (0.67) ⇒ D = 3 - 1.34 ⇒ D = 1.66 cm

Heigh = x = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0

3 years ago