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kodGreya [7K]
2 years ago
8

1) -4/3 2) -3/4 3) 10/17 4)17/10

Mathematics
1 answer:
Blizzard [7]2 years ago
7 0

Answer:

<em><u>boom bam ba boom bam ba</u></em>

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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
3 years ago
Solve 6 &lt; x + 5 &lt; 11 ​
Vanyuwa [196]

Answer:

I think it should be 1  < x ≤ 6

Step-by-step explanation:

7 0
3 years ago
Trigonometry, please help thank you
alina1380 [7]

Step-by-step explanation:

<h2>Length of x is 98.2 m</h2><h2 /><h2>Step-by-step explanation:</h2><h2 /><h2>Step 1:</h2><h2 /><h2>Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.</h2><h2 /><h2>tan 27° = opposite side/adjacent side =</h2><h2 /><h2>opposite side/9</h2><h2 /><h2>Opposite side = 9 tan 27° 9 x 3.27 =</h2><h2 /><h2>-29.46 m</h2><h2 /><h2>Step 2:</h2><h2 /><h2>Use this side and trigonometric ratio cosine to find the value of x.</h2><h2 /><h2>cos 49° = adjacent side/x = -29.46/x</h2><h2 /><h2>x = -29.46/cos 49° -29.46/0.30</h2><h2 /><h2>= 98.2 m (negative value neglected)</h2><h2 /><h2><em><u>Please</u></em><em><u> </u></em><em><u>mark</u></em><em><u> </u></em><em><u> </u></em><em><u>me </u></em><em><u>Brainlist.</u></em></h2>
8 0
3 years ago
Six teachers shared a box of paper equally. How many sheets of paper did each teacher get if 1,347 sheets of paper came in the b
tester [92]

Answer: 224.5

Step-by-step explanation:

The answer is 224.5 because 1347 divided by 6 is 224.5.

4 0
2 years ago
A player plays a game in which, during each round, he has a probability 0.55 of winning $1 and probability 0.45 of losing $1. Th
Artemon [7]

Answer:

45

Step-by-step explanation:

4 0
3 years ago
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