A nutritionist planning a diet for a runner wants him to consume 3,800 Calories and 650 grams of food daily. Calories from carbohydrates and fat will be 60% of the total Calories. There are 4, 4, and 9 Calories per gram for protein, carbohydrates, and fat, respectively. How many daily grams of fat will the diet include?
Answers
Answer:
240 grams of fat.
Step-by-step explanation:
let
c = grams of carbohydrates
p =grams of proteins
f = grams of fat.
Then from the information given:
And since 60% of the calories should come from carbohydrates and fats (which is 2280 calories)
And
Thus we have three equations:
(1).
(2).
(3).
We put equation (2) into equation (1) and solve for :
Now we put this value of into equation (3) and get:
Now from this equation we solve for c and get:
And put this value of into equation (2) and solve for
:
Thus the diet will include 240 grams of fat.
Answer: It's actually 210 g
(Excuse my answer, I made a math error)
Related Questions
What is the square root of 49 multiplied by the square root of 9
When two musical notes are a “sixth” apart, the frequency of the lower note is 3/5 the frequency of the higher note. Using f as the frequency of the higher note, write an expression for the frequency of the lower note. HELP!1. f - 2/52. 3/5 f3. 2/5 f4. 3/5 + f
Draw a quick picture for 37 . Draw to show how you would subtract 19 from 37 write to explain what you did
50 POINTS PLEASE HELP
Owning your own business can allow you more freedom than a typical
job. ______you may be able to schedule your work around other pursuits.
A meanwhile
B the first reason
C for example
D actually
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Thanks
Answers
Answer:
A) 83 km/ hour
B) 2/7 penalties / game
C) $16 / CD
D) 9 donuts / box
Step-by-step explanation:
A)
For this question they are asking for the distance traveled in 1 hour.
Since 747km was travelled in 9 hours, we divide 747 by 9 to find the distance travelled in 1 hour
747 ÷ 9 = 83
The unit rate is 83 km/ hour
B)
You have to find the number of penalties per game
Like before divide 10 by 35:
10 ÷ 35 = 10/35 = 2/7
2/7 penalties / game
C)
Find the cost of 1 CD :
64 / 4 = 16
$16 / CD
D)
Find the amount of donuts per box:
72/8 = 9
9 donuts per box
-Chetan K
Answer:
1. 83 km per hour
2. ?
3. 16 dollars per cd
4. 9 per box
Step-by-step explanation:
You just divide the first one by the second one
Answers
Final answer:
The expanded form of the number '38 million hundred thousand and eight' is possibly '38,100,008'. However, without specifying how many 'hundred thousands', the question is ambiguous.
Explanation:
The expanded form of the number '38 million hundred thousand and eight' may seem confusing at first, but it helps to break it down. The number '38 million' is simply 38,000,000. By saying 'hundred thousand', one is indicating a value of 100,000. But, the question doesn't clarify how many 'hundred thousands' are being referred to. If it was one, the number would be 38,100,000.
The 'and eight' at the end simply adds 8 to the end of our number, making the final number 38,100,008 if there were a single 'hundred thousand'. However, without specifying how many hundred thousands, the question is ambiguous.
Learn more about Number Representation here:
#SPJ11
1 hour
150 hours
3 baskets
50 hours
1 basket
150 baskets
3 hours
2.
3
4
Answers
Answer:
50 baskets per hour? but yo already said that
Step-by-step explanation:
Answers
Answer:
a) f(16) = 42
b) f(16) = 54
c) f(16) = 162
d) f(16) = 30
Step-by-step explanation:
a) y = mx + b ∧ m = (f(8) - f(4))/(8-4) ⇒ m = (18 - 6)/(8 - 4) = 3
b = y - mx = 6 - 3(4) = 6 - 12 = - 6
f(16) = 3(16) - 6 = 42
b) y = kxⁿ ∧ f(4) = 6 = k4ⁿ ∧ f(8) = 18 = k8ⁿ ⇒ 18/6 = (k8ⁿ)/(k4ⁿ) ⇒ 3 = 2ⁿ
n = ㏑(3) / ㏑(2) ⇒ k = y/xⁿ ⇒ k = 6/4ⁿ = 2/3
f(16) = 2/3 × 16ⁿ = 54
c) y = aeᵇˣ ∧ f(4) = 6 = aeᵇ⁴ ∧ f(8) = 18 = aeᵇ⁸ ⇒ 18/6 = (aeᵇ⁸)/(aeᵇ⁴) ⇒ 3 = e⁴ᵇ
b = ㏑(3/4) ∧ a = y / eᵇˣ ⇒ a = 6 / e⁴ᵇ = 2
f(16) = 2eᵇ¹⁶ = 162
d) y = a㏑(bx) ∧ f(4) = 6 = a㏑(b4) ∧ f(8) = 18 = a㏑(b8)
⇒ 18 - 6 = a㏑(b8) - a㏑(b4) ⇒ 12 = a㏑(8b/4b) ⇒ a = 12 / ㏑(2)
f(4) = 6 = a㏑(4b) ⇒ b = (√2)/4
f(16) = a㏑(b16) = 30
the answer is x=27
Answers
Simple...plug n chug..
3x-4(4)=65
3x-16=65
Now, isolate the variable, x....
3x-16=65
+16 +16
3x=81
Now, divide,
x=27.
Thus, your answer.