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Gala2k [10]
3 years ago
9

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an

office in the building will have actual dimensions of 20 feet by 17 feet. What will be the dimensions on the blueprint?
A.
27.5 inches by 24.5 inches
B.
150 inches by 127.5 inches
C.
2.67 inches by 2.27 inches
D.
12.5 inches by 9.5 inches
Reset
Mathematics
2 answers:
inn [45]3 years ago
7 0

Answer:

C

Step-by-step explanation:

20/7.5 = 2.67

17/7.5 = 2.27

Hoochie [10]3 years ago
4 0

Answer:

C.

2.67 inches by 2.27 inches

Step-by-step explanation:

We can use ratios to solve

1 in        x inches

-------- = ---------

7.5 ft       20 ft

Using cross products

1*20 = 7.5x

Divide each side by 7.5

20/7.5 =7.5x/7.5

2.67 =x

We can do the same for the other dimension

1 in        x inches

-------- = ---------

7.5 ft       17 ft

Using cross products

1*17 = 7.5x

Divide each side by 7.5

17/7.5 =7.5x/7.5

2.27 =x

2.67 inches by 2.27 inches

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a,b,d,e

Step-by-step explanation:

8 0
3 years ago
Can someone help me with this?
Wewaii [24]
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It is called: reflexive property

-----------------------------
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7 0
3 years ago
8/x-5 - 9/x-4 = 5/x^2-9x+20
adelina 88 [10]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2752942

_______________


Solve the equation:

\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}


Reduce the fractions at the left side so that they have the same denominator:

\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\&#10;\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\&#10;\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\&#10;\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}


Numerators must be equal:

\mathsf{8x-32-(9x-45)=5}\\\\&#10;\mathsf{8x-32-9x+45=5}\\\\&#10;\mathsf{8x-9x=5+32-45}\\\\&#10;\mathsf{-x=-8}\\\\&#10;\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}


I hope this helps. =)


Tags:  <em>rational equation fraction solution algebra</em>

7 0
3 years ago
Please help me with this one question, and I'll upvote the brainliest answer
ra1l [238]

Answer:   " x = 12 " .

________________________________________________

Step-by-step explanation:

________________________________________________

<u>Note</u>: If 2 (two) triangles are "similar" ;  then their corresponding sides are "proportional".

________________________________________________

Since one of the sides [the "hypotenuse"] of one the triangles given ; shows the measurement containing an expression with a value of "x" — specifically;  " 6x + 28 " ;  

    →  And since we want to solve for the value of "x" ;  we  use this "hypotenuse" of said particular triangle to set up a "proportion" with corresponding sides; so we can solve for "x" :

→  Set up proportions as a "ratio" ; or fraction:

       →  7:28::25:(6x + 28) ;  Solve for "x" ;

Let us write this in the form of a "fraction" :

      →  \frac{7}{28} = \frac{25}{(6x+28)} ;

________________________________________________

<u>Note</u>:  

        →  Rewrite:  " \frac{7}{28} " ; by simplifying to:

                                    " \frac{1}{4} " ;

________________________________________________

         →  Since:  " \frac{7}{28} " ;

              =  " (7÷7) / (28÷7) " ;

              =  " (1 /4) " ;

              =   " \frac{1}{4} " .

________________________________________________

Now, rewrite the "proportion" ; as follows:

________________________________________________

        \frac{1}{4} = \frac{25}{(6x+28)}  ;

________________________________________________

Now:   "Cross multiply" ;  that is:

______________________________________

→   Given:   " \frac{a}{b} = \frac{c}{d} " ;  

         and:  " b\neq0 " ;  " d\neq0 " ;

→  Then:   " a * d "  =  " b * c " .

________________________________________________

Likewise:   " 1(6x + 28)  =  (4) * (25) "   ;

______________________________________________

SImplify:    " 6x + 28 =  100 " ;  Solve for "x" ;

→ Subtract "28" from each side of the equation:

                  →   " 6x + 28 - 28 = 100 - 28 "  ;

    to get:   →   " 6x  =  72  "  ;

Now, divide each side of the equation by:  " 6 " ;

        to isolate "x" on one side of the equation; & to solve for "x" ; as follows:

   →   "  6x  =  72  "  ;

         →   6x / 6  =  72 / 6 ;

  to get:

         →   " x  = 12 "  ;

        →   which is the answer.

______________________________________________

Hope this helps!

  Best wishes in your academic pursuits

          — and within the "Brainly" community!

______________________________________________

5 0
3 years ago
Catherine walks her dog 3/4 mile everyday how far does she walk each week
fenix001 [56]
Catherine walks her dog 5.25 miles because there are 7 days in one week and 3/4 x 7 = 5.25
5 0
3 years ago
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