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scZoUnD [109]
3 years ago
14

Solve for x, in terms of y: 2/3x + 1/5y = 2

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer:

x = 3 - 3/10y

Step-by-step explanation:

2/3x + 1/5y = 2

Subtract 1/5y from each side

2/3x + 1/5y -1/5 y= 2-1/5 y

2/3x = 2-1/5y

Multiply by 3/2 to isolate x

3/2 * 2/3x = 3/2 (2-1/5y)

x = 3/2 (2-1/5y)

Distribute the 3/2

x = 3 - 3/10y

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3 years ago
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3 years ago
Read 2 more answers
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
What is the reciprocal of 9/2 and of 4/7 !pleasssee
Kitty [74]

Answer:

2/9 and 7/4(or 1  3/4)

Step-by-step explanation:

A reciprocal is just the original  number flipped.

6 0
3 years ago
Solve the inequality.<br> 6+x&gt;56+x&gt;5
weqwewe [10]

Answer:

X>50

X>-51

Step-by-step explanation:

6+x>56

56+x>5

separate the equation into different equations by the sign

I) 6+x>56

x>56-6

x>50

ii) 56+x>5

x>5-56

x>-51

4 0
3 years ago
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