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2 years ago

11

A blueprint of a building gives a scale of 1 in. = 8 ft. If the blueprint shows the building sitting on a rectangle with dimensi

ons 26 in. x 35 in., what is the actual area of the rectangle on which the building sits?

1 answer:

katrin [286]2 years ago

5 0

So scale is 1 inch= 8 ft

so, 26 inches = 8×26 = 208 ft
and , 35 inches = 8×35 = 280 ft

so the actual area= 208×280 = 58240 sq ft !

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12.) Write y = 1/6 x + 7 in standard form using integers.

Trava [24]

Option A

-x + 6y = 42 is the standard form

<u>Solution:</u>

Given that we have to write $y = \frac{1}{6}x+7$ in standard form

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Given equation is:

$y = \frac{1}{6}x+7$

Let us convert the above equation into standard form

$y = \frac{x}{6} + 7$

$y = \frac{x}{6} + \frac{7}{1}$

Make the denominator same in R.H.S

$y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}$

Solve the above equation

$y = \frac{x}{6} + \frac{42}{6}$

$y = \frac{x+42}{6}$

Move 6 from R.H.S to L.H.S

$6y = x + 42$

Bring all the terms to one side, leaving only constant on R.H.S

$-x + 6y = 42$

The above equation is of form Ax + By = C

Thus option A is correct

3 0

3 years ago

The square of a number, x, is 16 less than eight times the number. What is the number? Type the correct answer in the box. Use n

liraira [26]

Given :

The square of a number, x, is 16 less than eight times the number.

To Find :

The value of x .

Solution :

The mathematical equation with all given data is :

$x^2=8x-16\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)^2=0\\\\x=4$

Therefore , the value of x is 4 .

Hence , this is the required solution .

3 0

3 years ago

What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18

Softa [21]

Answer:

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1 ..................(i)

2x + 5y = 18 .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

Putting this value in equation (ii)

which is

2x + 5y = 18

Putting value of y from (i) in it

2x + 5(-3x + 1) = 18

Opening the bracket and multiplying inside

2x -15x + 5 = 18

-13 x + 5 = 18

Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

$\frac{-13x}{-13}=\frac{13}{-13}$

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

4 0

3 years ago

How do I figure this out?

Masja [62]

Answer:

29 Dodecagon

30 Heptagon

31 Octagon

32 Hexagon

Just divide 360 by the number of sides to find the exterior angles

and 900 by the number of sides for the interior

6 0

2 years ago

What's a proportion of 15/3

erastova [34]

Answer:

5/1 or 5

Step-by-step explanation:

i hope this helps :)

3 0

2 years ago

Read 2 more answers