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il63 [147K]
3 years ago
5

6. A Two-story building measures 21 root

Mathematics
2 answers:
barxatty [35]3 years ago
8 0

Answer:

12 inches

  • Step-by-step explanation:

So, we are going to let "x" be the height inches (in the model) of a 84 foot building.

According to the information that was given we know that the height of a two-story building is 21 feet and in the scale model its height is 3 inches.Knowing this, we can set up the following proportion:  

3/21 = x/84

The final step is to solve for "x" in order to calculate its value. We get that this is:    3/21 =x/84

(84) (3/21) = x

So , an 84 foot building will be 12 inches tall in the model.

(when I do the "3/21 it doesn't mean divide it's a fraction"

KengaRu [80]3 years ago
7 0

Answer:

1008 in

Step-by-step explanation:

84x12=1008

84 feet times 12 inches because 12 inches is a foot.

so 84 feet times 12 inches gets your answer. 84 times 12=1008

make sense?

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On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?
Fantom [35]

Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

<u>We need to determine how many centimeters represents 600 km. We will use the following formula:</u>

<u></u>

Number of cm= total km / km per one cm

Number of cm= 600 / 15

Number of cm= 40 cm

5 0
3 years ago
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
Rufina [12.5K]
To make a positive profit p(x)>0 we need to make:
-100 x^{2} +350x-150 \ \textgreater \  0

Now we solve this for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
x_{1} =  \frac{-b+ \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{2} =  \frac{-b- \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{1} =  \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2}  \\  \\  x_{2} =  \frac{-7- \sqrt{ 49-24 } }{-4}  = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
5 0
3 years ago
Read 2 more answers
Solve for x: |1/3-x/4|=7/12
ozzi

Your answer is x={-1, 11/3}

4 0
3 years ago
Help please<br><br>What is 2/3÷1/2​
Luba_88 [7]

Answer: B

Step-by-step explanation:

2/3 x 2/1 =4/3

3 0
2 years ago
A physical fitness association is including the mile run in its secondary- school fitness test. the time for this event for boys
liberstina [14]

Answer:

<u>The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

μ of the time a group of boys run the mile in its secondary- school fitness test  = 440 seconds

σ of the time a group of boys run the mile in its secondary- school fitness test = 40 seconds

2. Find the probability that a randomly selected boy in school can run the mile in less than 348 seconds.

Let's find out the z-score, this way:

z-score = (348 - 440)/40

z-score = -92/40 = -2.3

Now let's find out the probability of z-score = -2.3, using the table:

p (-2.3) = 0.0107

p (-2.3) = 0.0107 * 100

p (-2.3) = 1.1% (rounding to the next tenth)

<u>The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.</u>

4 0
3 years ago
Read 2 more answers
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