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zimovet [89]
3 years ago
15

How do the ratios of lengths, areas, and volumes compare in similar solids?

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

If the ratio between the sides is r, the ratio between the areas will be r^2 and the ratio between the volumes will be r^3

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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

6 0
3 years ago
I need to find x. It wants me to find the indicated angle measure.
Nataliya [291]

Answer:

x=27

Step-by-step explanation:

(2x-18)+(4x)=180 bc its a straight line

simplify

6x-18=180

-18       -18

6x=162

divide

x=27

5 0
3 years ago
Read 2 more answers
Use the diagram to help you solve the problem.
Harrizon [31]

Answer:

C

Step-by-step explanation:

Just took it

4 0
3 years ago
Evaluate the expression if r = 12 and t = -6.<br> (t-r)/3
Lynna [10]

Answer:

-6

Step-by-step explanation:

\frac{(t-r)}{3}

input the numbers

\frac{(-6-12)}{3}

do the problem in the parentheses first

-6-12 = -18

now it becomes

-\frac{18}{3}

simplify and you'll get

-6

this is because -18 ÷ 3 =

-6

4 0
3 years ago
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How do I make an equation using 0.5 for slope and 3 for y intercept
Ann [662]

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since you are given the slope (0.5) and the y-intercept (3), all you have to do is substitute these given values into the equation.  Substituting them in you get: y = 0.5x + 3, which is your answer.

7 0
3 years ago
Read 2 more answers
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