1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nina [5.8K]
4 years ago
12

One gram of a certain health food contains 7 percent of the minimum daily requirement of vitamin E and 3 percent of the minimum

daily requirement of vitamin A. If vitamins E and A are to be obtained from no other source, approximately how many grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins?
Mathematics
1 answer:
Liula [17]4 years ago
3 0

Answer:

Approximately 34 grams of the healthy food

Step-by-step explanation:

For know the minimum value to be eaten daily to provide the requirement of both vitamins, is necessary to calculate the minimum value for every vitamin, so:

  • vitamin E: We are going to use the rule of three in which 1 gram have 7% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------7%

X grams -----------100%

X=\frac{1 gram* 100}{ 7 } = 14.285 grams

So, it is necessary approximately 15 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

  • vitamin A: We are going to use the rule of three in which 1 gram have 3% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------3%

X grams -----------100%

X=\frac{1 gram* 100}{ 3 } = 33.33 grams

So, it is necessary approximately 34 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

Finally for satisfy with both minimum daily requirement, we need to eat at least 34 grams of healthy food, because it is the maximum between the two X values.

You might be interested in
F. If you add § + ģ + , the sum is g. If you add 3 + 2,<br> what is the sum?
inna [77]

Answer:

g. 3+2 =5

..........................

5 0
3 years ago
Find the values of the variable
Leno4ka [110]

Answer:

Step-by-step explanation:

a = 180 - 100

= 80 degrees

b = 180 - 80

= 100 degrees

c = 180 - 135

= 45 degrees

8 0
3 years ago
Please I need help of this one :)
Harlamova29_29 [7]

Answer:

128.605 m²

Step-by-step explanation:

Find the areas of the top triangle, and the bottom triangle and add them together.

The top triangle consists of 2 smaller triangles.  Look at the larger one, the height is 4.93 and the base is 17.  The area is...

A = (1/2)(17)(4.93)

   A = 41.905 m²

The bottom triangle consists of 2 smaller triangles.  Look at the larger one, the height is 10.2 and the base is 17.   The area is...

A = (1/2)(17)(10.2)

  A = 86.7 m²

The total area is 41.905 m² + 86.7 m² = 128.605 m²

5 0
3 years ago
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
SCORPION-xisa [38]

Answer:

(a)See below

(b)I) 0.125  (ii)0.828125   (iii)0.234375   (iv) 0.625   (v)0.65625

Step-by-step explanation:

When an  8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.

The sample space is:

[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]

<u>PART A</u>

The sample space of the product a*b of each pair forms the required possibility diagram.

This is given as:  

1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64

<u>PART B</u>

I) A prime number

The number of products that gives prime numbers = 8  

The probability that the product is a prime number

=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125

ii) Not a perfect square  

Number of products that results in perfect squares =11

The probability that the product is not a perfect square

=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125

iii) A multiple of 5  

Number of products that are multiples of 5=15

 The probability that the product is a multiple of 5

=\dfrac{15}{64}\\=0.234375

iv) Less than or equal to 21

Number of products which are less than or equal to 21=40

 The probability that the product less than or equal to 21

=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625

v) Divisible by 4 or 6

Number of products divisible by 4 or 6= 42

 The probability that the product is divisible by 4 or 6

=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625

8 0
3 years ago
What is the ratio of 1:6 and 3:8
butalik [34]

1:6 is the same as 1/6

3:8 is the same as 3/8

6 0
3 years ago
Other questions:
  • One month Miguel rented 12 movies and 2 video games for a total of $41. The next month he rented 3 movies and 5 video games for
    9·1 answer
  • A producer of electronic book readers is performing a quality check to ensure the reader's backlight is working correctly. The p
    12·1 answer
  • Given f(x) = 10 - 2x, find f(7).
    8·1 answer
  • Find the product 6.43×0.07
    15·1 answer
  • The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse?
    12·1 answer
  • Circle P is dilated to form circle P'. Which statement is ALWAYS true?
    15·1 answer
  • a hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 min. then it descends at a rate of 3 feet p
    10·1 answer
  • 22/5 times 2 times 1/3
    11·1 answer
  • Alex wants to rent a car. The charge is $18 plus $0.12 per mile.
    5·1 answer
  • 1. Which of the following expressions has asimplified value of 10x - 13?A. -7x + 3x - 16+3B.-21x + 4 + 11x + 9C. X-10 + 9x - 3D.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!