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liq [111]
3 years ago
6

32 and 2.56 what is the unit rate

Mathematics
1 answer:
Serggg [28]3 years ago
5 0
12.5 

I hope this helped.

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X^2 – 5x + 6 &lt; 0<br> what is the answer
Sophie [7]

Answer:

step 1: x2−5x+6<0

step2: (×-2) (+-3) =0

answer would be: 2<x<3

7 0
3 years ago
25 less than x <br><br> Pls help anyone
konstantin123 [22]

Answer:

If you are looking for an equation, then it would be 25 < x.

Step-by-step explanation:

3 0
3 years ago
Computer purchases: Out of 809 large purchases made at a computer retailer, 347 were personal computers, 398 were laptop compute
Luda [366]

Step-by-step explanation:

personal- 347 ÷ 809 = 0.43%

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6 0
3 years ago
"A rectangle has a height of 5 cm and its base is increasing at a rate" of 3/2 cm/min. When its area is 60 cm2, at what rate is
sukhopar [10]

Answer:

The diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

Step-by-step explanation:

Dimensions of the rectangle

Height = 5cm

Rate of base = 3/2 cm/min

Area = 60cm^2

We know the area of a rectangle of given by = base* Height

b*h = 60

b*5 = 60

b = 12cm

Applying Pythagoras theorem while drawing a diagonal to the rectangle

  b^2 +h^2 =  D^2\\

 5^2 +12^2 = 13^2

so our diagonal will be 13cm  

Upon differentiating the area of the rectangle  we get

b*h = A=60cm^2

using  the chain rule of differentiation

h*db/dt + b*dh/dt  = 0

b*dh/dt = -h*db/dt

12*dh/dt = -5*3/2

dh/dt = -5/8 cm//min

so the height of the rectangle is decreasing at the rate of -5/8cm/min

now we have all the measurements we need

b = 12 , db/dt = 3/2cm/min

h = 5 , dh/dt = -5/8 cm/min

b^2 +h^2  = D^2

Upon differentiating we get

2b*db/dt + 2h*dh/dt = 2D*dD/dt

b*db/dt + h*dh/dt = D*dD/dt

12*3/2 + 5*(-5/8) = 13*dD/dt

18 -25/8 = 13*dD/dt

\frac{144-25}{8} = 13*dD/dt

dD/dt = \frac{119}{104} cm/min

Therefore the diagonal is increasing at the rate of 119/104cm/min of the given rectangle.

6 0
3 years ago
Just need the equation
Anna007 [38]

a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}

Each of the equations can be solved as shown below:

a. 3x + 7 = - x - 1

3x + 7 + x  = - x - 1 + x (<em>addition property of equality</em>)

4x + 7  = - 1\\4x + 7 - 7 = -1-7 (<em>Subtraction property of equality</em>)

4x = -8\\\frac{4x}{4} = \frac{-8}{4}<em> (Division property of equality)</em>

<em />x = -2

b. 1 - 2x + 5 = 4x - 3\\

<em>Add like terms </em>

<em />6 - 2x = 4x - 3\\\\6 - 2x - 6 = 4x - 3 - 6 (<em>Subtraction property of equality</em>)

- 2x = 4x - 9\\-2x - 4x = 4x -9 - 4x<em> (Subtraction property of equality)</em>

<em />-6x = -9 \\\frac{-6x}{-6} = \frac{-9}{-6}<em> (Division property of equality)</em>

<em />x = \frac{3}{2}

c. 4x - 2 + x =-2 + 2x\\

5x - 2 = -2 + 2x\\5x - 2x = -2 + 2\\3x = 0\\ x = \frac{0}{3} \\x = 0

d. 3x - 4 + 1 = - 2x -5 + 5x\\

3x - 3 = - 7x -5\\3x + 7x = 3 - 5\\10x = -2\\x = \frac{-2}{10} \\x = -\frac{1}{5}

<em>The value of x in each </em><em>equation</em><em> are:</em>

<em />a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}

Learn more here:

brainly.com/question/1527981

5 0
3 years ago
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