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umka2103 [35]
2 years ago
6

Please include step by step!

Mathematics
2 answers:
Paladinen [302]2 years ago
5 0

Answer:

C=10pi

Step-by-step explanation:

m_a_m_a [10]2 years ago
3 0
C=10pi
Step by step since the diameter is 5 and the half of circumference is diameter it and c = 2(pi symbol) it would be 10
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adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

6 0
2 years ago
Simplify (5x−2+3x^2)+(4x+3)
Art [367]

Answer:

3x^2 + 9x + 1

Or

3x ( x + 3 ) + 1

Step-by-step explanation:

(5x - 2 +3x^2 ) + (4x + 3 )

To make this a little bit more easier to read, you can remove the parentheses:

5x - 2 + 3x^2 + 4x + 3

Now, write in a way so that the like terms are next to each other:

3x^2 + 5x + 4x - 2 + 3

Now simplify the 'x' terms to get:

3x^2 + 9x - 2 + 3

Now, simplify the integers (the ones with now variables with them) to get:

3x^2 + 9x + 1

If you want, you can factor out the 3x for two of the terms to get :

3x ( x + 3 ) + 1

Therefore, your simplest form can either be 3x^2 + 9x + 1 OR 3x (x + 3 ) + 1

5 0
3 years ago
How do I solve this?
Vikentia [17]

Answer:

need help too

Step-by-step explanation:

8 0
2 years ago
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Andru [333]

Answer:

Nate made a mistake. He should have got 24 as Least common factor.

Step-by-step explanation:

Given number are 8 and 12.

To find the GCF or LCF we have to list multiples.

For LCF

  • List the multiples of each number until at least one of the multiples appears on all lists.
  • Find the smallest number that is on all of the lists.
  • This number is the LCM.

For GCF

  • List the multiples of each number until at least one of the multiples appears on all lists.
  • Find the Biggest number that is on all of the lists.
  • This number is the GCF

The least common multiple of 8 and 12 is 24.

The Greatest common multiply of 8 and 12 is 4.

Hence, Nate is wrong. Nate should have found 24.

[RevyBreeze]

7 0
2 years ago
PLEASE HELP ME ASAP!!!
Olenka [21]

Answer:

The answer is D. Surface Tension. :) I am forsure this is correct but please let me know. If I am correct please rate me 5 and thank me and mark me brainlest :)

Step-by-step explanation:


8 0
2 years ago
Read 2 more answers
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