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dimulka [17.4K]
3 years ago
9

A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters.

Mathematics
2 answers:
Anna11 [10]3 years ago
7 0
54 centimeters

Since you have to multiply 3 by 9 to get 27 meters, you also have to multiply 6 by 9 to get the number of centimeters, which is 54 cm. It’s a ratio problem.

6:3::x:27

x = 54
Masteriza [31]3 years ago
3 0

Answer:

54 cm

Step-by-step explanation:

We can use proportions to solve this problem.  Put the blue print size on the top and the real life size on the bottom.


6 cm          x cm

-----------  = -------------

3 meters   27 meter


Using cross products

6* 27 = 3 *x

Divide each side by 3

6/3 * 27 = 3x/3

54= x

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I need help on this problem please help me.
a_sh-v [17]

Answer:

150 mL

Step-by-step explanation:

Let x represent the quantity of 75% solution needed. The total amount of alcohol in the 60% mixture will be ...

75%·x + 10%·45 = 60%·(x+45) . . . . . there will be x+45 mL of solution in the end

0.15x = 22.5 . . . . . . . . . . . . . . . . . . . . simplify, subtract .60x+4.5

22.5/0.15 = x = 150 . . . . . . . . . . . . . . mL of 75% solution needed

You will need 150 mL of the 75% solution.

3 0
3 years ago
Help would be greatly appreciated :)
Phantasy [73]

Answer:

D= -0.37

R= -0.34

Step-by-step explanation:

5 0
1 year ago
A pack of 9 toilet rolls costs £4.23
OleMash [197]
 a)  9 toilet rolls cost $ 4.23
       1 toilet roll costs  $ x

          9x = 4.23 * 1
           x= 4.23 / 9
            x = 0.47
So in first case one toilet roll costs $ 0.47.

b) 4 toilet rolls cost $1.96
    1 toilet roll costs  $ x
     
    4x = 1.96 * 1
     x = 1.96 / 4
     x = 0.49
So in second case one toilet roll costs $ 0.49.

0.47 < 0.49
The toilet roll in first case is cheaper than the toilet roll in second case.

Hope this heps!


8 0
3 years ago
I need help right now!!!
antiseptic1488 [7]

Answer:

I believe it would be 4x-8=-3x+13

3 0
3 years ago
A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas
WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
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