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Mice21 [21]
3 years ago
14

A blueprint for a house has a scale of 1:5 feet. The living room has a length of 2.5 inches and a width of 3 inches. What is the

actual area of the living room?
Mathematics
1 answer:
stiks02 [169]3 years ago
7 0

Answer:

Step-by-step explanation:

Set this up as a proportion, with inches on the top and feet on the bottom for our scale.  We will find the actual length first, then we'll find the width.

\frac{in}{ft}:\frac{1}{5}=\frac{2.5}{x}

Cross multiply to get that the actual length is 5(2.5) = 12.5 feet.  Now for the width:

\frac{in}{ft}:\frac{1}{5}=\frac{3}{x}

Cross multiply to get that the actual width is 5(3) = 15 feet.

If you want the area of the room, multiply the length times the width to get

A = 15(12.5)

A = 187.5 feet squared

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The engine torque y (in foot-pounds) of one model of car is given by y=−3.75x2+23.2x+38.8, where x is the speed (in thousands of
Stels [109]

Answer:

Step-by-step explanation:

If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8

The engine speed is at maximum if dy/dx = 0

dy/dx = -2(3.75)x+23.2

dy/dx = -7.5x + 23.2

since dy/dx = 0

0 =  -7.5x + 23.2

7.5x = 23.2

x = 23.2/7.5

x = 3.093

Hence the maximum torque is 3.09 rev/min

8 0
3 years ago
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9. It seems he was inactive/taking a break, as the line is completely straight.

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Step-by-step explanation:

4 0
3 years ago
If a transformation moves points only up or down, how do the coordinates of the point change? What can you conclude about the co
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3) Find two consecutive even integers such that their sum is equal to the difference of 3 times the larger &amp; 2 times the sma
swat32

Answer:

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be x and x+2

Here x is the smaller even integer and x+2 is the next so it will be larger.

Now according to the given statement

Sum of both: x+x+2

difference of 3 times the larger & 2 times the smaller:3(x+2)-2x

Putting the sum and difference equal:

x+x+2 = 3(x+2)-2x

Solving the equation

2x+2 = 3x+6-2x\\2x+2 = x+6\\2x+2-x = x+6-x\\x+2 = 6\\x+2-2 = 6-2\\x = 4

The next integer will be:

x+2 = 4+2 = 6

Hence,

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The integers are 4 and 6.

3 0
3 years ago
Input in stand form the equation of the given line.
Daniel [21]

Answer:

  3x +8y = -17

Step-by-step explanation:

The point-slope equation is a good place to start.

  y -k = m(x -h) . . . . . equation through (h, k) with slope m

Filling in your numbers gives ...

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Multiplying by 8, we get

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Adding 3x-32 puts this in standard form.

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Standard form is ...

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where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)

8 0
3 years ago
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