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Vlad1618 [11]
3 years ago
6

Above are two different models of the same triangular-shaped garden. If the height of the model on the left is 15 cm, what is th

e height of the model on the right?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer: The height of the model on the right is 22.5 cm .

Step-by-step explanation:

We can see that , the given different models of the same triangular-shaped garden are similar.

For the first model 1 cm = 3.75 m

whereas for the second model 1 cm = 2.5 m

Now , the constant rate of proportion for this (k) = \dfrac{3.75}{2.5}=\dfrac{375}{250}=1.5

Now , if height of the model on the left is 15 cm , then the height of the model on right = 15 x k

= 15 x 1.5

= 22.5 cm

Hence, the height of the model on the right is 22.5 cm .

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Write an expression in simplified form for the area of each rectangle. Width: 5+2y Length:5
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Help with this question, please!
Katyanochek1 [597]

The diet will include <u>123.75 </u>daily grams of protein

<h3>Further explanation</h3>

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

\large{\boxed{\bold{ax=b}}

or  

ax + b = c, where a, b, and c are constants, x is a variable  

We complete the task :

A nutritionist planning a diet for a football player wants him to consume 3,500 Calories and 725 grams of food daily. Calories from fat and protein will be 45% of the total Calories. There are 4, 4, and 9 Calories per gram for protein, carbohydrates, and fat, respectively. How many daily grams of protein will the diet include?

  • 243.75
  • 481.25
  • 123.75
  • 120

Calories from fat and protein will be 45% (0.45) of the total Calories

Calories from fat and protein = 0.45 x 3500 = 1575 calories

Calories from carbohydrates = 3500 - 1575 = 1925 calories

So mass for carbohydrates = 1925 : 4(4 calories/gram) = 481.25 grams

Then mass for fat and protein = 725 - 481.25 = 243.75 grams

We can make equation for fat and protein

1. 4 calories. mass of protein(p) + 9 calories . mass of fat(f) = 1575 calories

2. mass of protein(p) + mass of fat(f) = 243.75

we can simplify :

1. 4p+9f = 1575

2. p + f = 243.75 ⇒ f = 243.75 - p

we substitute equation 2 into equation 1 :

4p + 9(243.75-p) = 1575

4p + 2193.75-9p=1575

-5p = -618.75

p = 123.75

<h3>Learn more</h3>

linear equation

brainly.com/question/99841

Keywords : one variable, linear equation ,diet, nutritionist,calories, fat, proteins, carbohydrates, daily grams

#LearnWithBrainly

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Write a expression for this
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Step-by-step explanation:

expressions are equations/functions. in this case it helps us know how much we will pay for apples for each pound we get.

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