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xz_007 [3.2K]
3 years ago
5

-3/4 divided by 2/-8 the four is not negative

Mathematics
2 answers:
Marizza181 [45]3 years ago
4 0

Answer:

The answer is 3.

Step-by-step explanation:

-3/4 divided by 2/-8

take the reciprocal of 2/-8

which is -8/2 then divide

\frac{-3}{4}  ÷ \frac{-8}{2}

= 3

-3/4 ÷ 2/-8

marissa [1.9K]3 years ago
3 0
The answer is 3 :) hope this is right
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Find the volume of the given solid region in the first octant bounded by the plane 9z+15y+15z=45 and the coordinate​ planes, usi
dem82 [27]

First,

9x+15y+15z=45\implies 3x+5y+5z=15

The volume is given by the integral (one of 6 possible combinations),

\displaystyle\int_0^5\int_0^{\frac{15-3x}5}\int_0^{\frac{15-3x-5y}5}\mathrm dz\,\mathrm dy\,\mathrm dx=\boxed{\frac{15}2}

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3 years ago
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Step-by-step explanation:


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Find the maximum and the minimum value of the following objective​ function, and the value of x and y at which they occur. The f
kumpel [21]

Answer:

The maximum value of the objective function is 112 when x = 0 and y = 7.

Step-by-step explanation:

Given the constraints:

5x+3y≤37, 3x+5y≤35, x≥0, y≥0

Plotting the above constraints using geogebra online graphing tool, we get the solution to the constraints as:

A(0, 7), B(7.4, 0), C(5, 4) and D(0, 0)

The objective function is given as E =2x+16y, therefore:

At point A(0, 7):  E = 2(0) + 16(7) = 112

At point B(7.4, 0): E = 2(7.4) + 16(0) = 14.8

At point C(5, 4): E = 2(5) + 16(4) = 74

At point D(0, 0): E = 2(0) + 16(0) = 0

Therefore the maximum value of the objective function is at A(0, 7).

The maximum value of the objective function is 112 when x = 0 and y = 7.

8 0
3 years ago
A builder makes staircases where each step is 29 cm long and rises 18 cm so people dont trip. Every staircase has a stringer - a
Black_prince [1.1K]

Let x represent length of the stringer of the staircase.

We have been given that a  builder makes staircases where each step is 29 cm long and rises 18 cm so people don't trip. Every staircase has a stringer - a diagonal support connecting all the steps. We are asked to find the length of the stringer of the staircase.

The length of the stringer of the staircase will be equal to diagonal of right triangle with two legs 29 cm and 18 cm.

Using Pythagoras theorem, we will get:

x^2=29^2+18^2

x^2=841+324

x^2=1165

Now we will take square root of both sides of equation.

\sqrt{x^2}=\pm\sqrt{1165}

x=\pm 34.13209

x\approx \pm 34.13

Since length cannot be negative, therefore, the length of the stringer of the staircase would be approximately 34.13 cm.

3 0
3 years ago
The art class is planning to paint a mural on the outside wall this figure is a scale drawing of the wall the scale is 2 inches:
solniwko [45]

Answer:

The area of the actual wall is 693 square feet.  

Step-by-step explanation:

Step 1 : Finding the length of the wall in feet.  

Length of the wall in the scale drawing  =  28 inches

Length  of the actual  wall   =  28 \times \frac{3}{2} feet

Length  of the  actual wall  =  \frac{84}{2} feet

Length  of the actual  wall   =  42 feet

Step 2 :  Finding the width of the wall in feet.  

Width of the wall in the scale drawing  =  11 inches

Width of the actual  wall  = 11 \times \frac{3}{2} feet

Width of the actual   wall  = \frac{33}{2} feet

Width of the actual   wall   =  16.5 feet

Step 3 :  

Find area of the wall in square feet.  

Area of the actual  wall  =  Length x Width  

Area of the actual  wall  =  42 x 16.5

Area of the  actual wall  = 693 square feet.  

3 0
3 years ago
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