Curtis wants to build a model of a 180 meter tall building. He will be using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be? Round your answer to the nearest tenth.

Answers

Answer 1
Answer: You could set up a proportion for this question. 1.5 centimeters = 3.5 meters x centimeters = 180 meters 1.5 x 180 / 3.5 Rounded to the nearest whole number, the answer is 77.

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51. Q(3, 9), P(-1,5)
find the coordinates of the missing endpoint if P is the midpoint of NQ

Answers

X1= 3, Y1= 9
Midpoint formula= (?,?)= (x1+x2/2 , y1+y2/2)
-2= 3+? Making ?= -5
10= 9+? Making ?= 1
So your answer is (-5,1)= N

Final answer:

The coordinates of the missing endpoint, if P is the midpoint of segment NQ, are found using the formula N = 2P - Q. Substituting the given values into this formula, the coordinates of the missing point N are (-5, 1).

Explanation:

If point P is the midpoint of segment NQ, we can use the formula for finding the coordinates of the endpoint if we know the midpoint and one endpoint. The formula states:

To find the missing endpoint (in this case, point N), we use the formula: N = 2P - Q

Substituting the given values into the formula, we get:

N = 2(-1, 5) - (3, 9)

N = (-2, 10) - (3, 9)

N = (-5, 1)

So, the coordinates of the missing endpoint N are (-5, 1).

Learn more about Midpoint Formula here:

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Earyn owns French Twist Hair Salon. She charges $35 for a cut an $120 for a cut and color combo. Yesterday she had seven clients and earned $500. Let x represent only the clients that got a cut and y represent the clients that got a cut and color combo.Which of the following equations could be used to represent this situation.

y=7-x

x + y= 500

120x + 35y= 500

(35+120) (x + y)= 500

35x + 120y= 500

Answers

35x + 120x = 500
This is the correct equation because:
 x represents the clients that got a cut (at a cost of 35)
So the total profit she earned from just the cuts is 35 times the number of people for a cut
y represents the clients that got a cut and color (120)
So the total profit she earned from the cut/color is 120 times the # of people for cut/color
It is equal to $500 because thats how much Earyn earned!
I hope this helped

Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?

Answers

3 people - Two bowls of pasta
12 people - ?

12 divided by 3 = 4.

4 x 2 = 8.

8 bowls of pasta should be ordered for 12 people.
12 people divided by 3 people = 4

so if 2 bowls serve 3 people...2 bowls x 4 = serve 12 people

therefore, 8 bowls serve 12 people

Write a rule for each sequence. Find the next three terms.

8,14,20,26

Answers

aruthmetic sequene is
an=a1+(n-1)d
where d=common difference between terms
adds 6 every time
d=6
first term is 8
a1=8
8+6(n-1)
distribute
8+6n-6
8-6+6n
2+6n is answer

(x + 5) ( x -3 ) using what algebraic identity?​

Answers

Answer:

Step-by-step explanation:

hello :

(x + 5) ( x -3 )= x²-3x+5x-15

(x + 5) ( x -3 )= x²+2x-15

Answer:

x² +2x - 15

Step-by-step explanation:

(x + 5) ( x - 3 ) =

= x² + 5x - 3x - 15

= x² +2x - 15

If h(x) = 5 + x and k(X) =. 1/x which expression is equivalent to (kon)(x)?

Answers

Answer:

(5+x)/x

Step-by-step explanation:

Given

h(x)= 5+x

k(x)= 1/x

(koh)(x)=?

Here you multiply

1/x( 5+x)

5/x +x/x

5/x+1 or

5/x +x/x

(5+x)/x

For this case we have the following functions:

h (x) = 5 + x\nk (x) = \frac {1} {x}

We must find (k_ {0} h) (x):

By definition of compound functions we have to:

(k_ {0} h) (x) = k (h (x)

So:

k (h (x) = \frac {1} {5 + x}

Finally:

(k_ {0} h) (x) = \frac {1} {5 + x}

Answer:

(k_ {0} h) (x) = \frac {1} {5 + x}