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mixer [17]
3 years ago
7

What is the slope of the line that passes through the points (4,9) and (6,10)

Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer: 2

Step-by-step explanation:

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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
Please help 2 7/12= ¼x
Anton [14]

Answer:

Exact form: x=31/3

Decimal Form: x=10.¯ 3

Mixed Number Form: x=10 1/3

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

5 0
3 years ago
Read 2 more answers
Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of
Masja [62]
Nolan will need 2 table spoons of milk for a smaller batch of his family’s macaroni and cheese recipe.
5 0
2 years ago
Write an equivalent expression for 2(x + 6) - 8
Dafna1 [17]
An equivalent expression would be 2x+4
4 0
3 years ago
The sum of three numbers is 8. twice the smaller is 2 less than the largest, while the sum of the largest and smallest is 5. use
Lorico [155]
X + Y + Z = 8
2x = Z - 2
X + Z = 5
X = 1
1 + Y + Z = 8
Y + Z = 6
1 + Z = 5
Z = 4
1 + Y + 4 = 8
5 + Y = 8
Y = 3
The variables are 1, 3, 4.
4 0
3 years ago
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