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melomori [17]
4 years ago
10

List the components in the proportion relationship used to find missing value in scale drawing?

Mathematics
1 answer:
Phoenix [80]4 years ago
3 0
<h2>Explanation:</h2><h2></h2>

When we have relationships between two variables and their ratios are equivalent, we call this as proportional relationship. A scale drawing is a model that has been reduced or enlarged from its original size. Suppose you have a horse that measures 1,5m high by 2m long and want to draw a reduced model by a scale factor of 1:10, then your drawing will measure:

Height=1.5(1/10)=0.15m \\ \\ Length=2(1/10)=0.2m

So the components are:

  • Measurements of the original object
  • Measurements of the drawing
  • Scale factor
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Manny purchased a set of cookie cutters for $25. He plans to sell cookies for $0.75 each. The ingredients for his cookies will c
juin [17]

Answer: Profit = 0.4x - 25

Step-by-step explanation:

Let x represent the number of cookies that he makes and sells.

Profit = Revenue - total cost

Manny purchased a set of cookie cutters for $25. The ingredients for his cookies will cost him $0.35 per Cookie. This means that his total cost of producing x cookies is

0.35x + 25

He plans to sell cookies for $0.75 each. This means that the revenue generated from selling x cookies is 0.75x

Therefore, the equation giving Manny's total profit per cookie as a function of the number of cookies he makes is

Profit = 0.75x - (0.35x + 25)

Profit = 0.75x - 0.35x - 25

Profit = 0.4x - 25

6 0
4 years ago
Leah and Ashley go to the movie theater and purchase refreshments for their friends
klasskru [66]

Answer:

The required system of equations is:

5 m+   7  n = 113.75  

6 m +   14  n  =  185.50

The price of 1 bag of popcorn  = $10.5

The price of 1 drink   = $8.75

Step-by-step explanation:

Let us assume the cost of 1 bag of popcorn = $ m

And, the cost of 1 drink = $ n

Now, Leah spends a total of 113.75 on 5 bags of popcorn and 7 drinks.

Cost of 5 bags + 7 drinks = 5 m +   7  n  =  $ 113.75

⇒ 5 m+   7  n = 113.75   .. (1)

Also, Ashley spends a total of 185.50 on 6 bags of popcorn and 14 drinks

Cost of 6 bags + 14 drinks = 6 m +   14  n  =  $185.50

⇒  6 m +   14  n  =  185.50   .. (2)

So, here the system of equations that can be used to find the price of one bag of popcorn (m) and the price of one drink (n) are

5 m+   7  n = 113.75   .. (1)

6 m +   14  n  =  185.50   .. (2)

Now, to solve this, Multiply (1) with -2 and add with 2, we get:

-10m + 6m - 14 n + 14 n = 185.5 - 227.5

or, - 4  m = -42 , or m = 42/4 = 10.5

Putting the value of m = 10.5 in 5 m+   7  n = 113.75 , we get n = 8.75

Hence,  the price of 1 bag of popcorn  = m = $10.5

And the price of 1 drink  = n = $8.75

6 0
3 years ago
Finding the composition of the function <br><br> Let g(x)=3x, and h(x)=x^2+1.<br><br> h(3)
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Answer:10

Step-by-step explanation:

H(3)=3^2+1=10

7 0
3 years ago
A discounted amusement park ticket costs $12.95 less than the original price (p). Write and solve an equation to find the origin
Elena-2011 [213]
P = the original price of the ticket.

Let x =  the discounted price.
The discounted price IS $12.95 less than the original price. Therefore
x = p - 12.95

Add 12.95 to each side.
p = x + 12.95

Answer:
The equation is
p = x + 12.95
where
p = original price
x = discounted price
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4 years ago
What's a common fraction
mars1129 [50]
A fraction expressed by a numerator and denominator
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3 years ago
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