Lified expression for 2(X-5)?

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

Please help I found this one a bit confusing

Sergio [31]

Answer:

C

Step-by-step explanation:

If you look closely.. You can see that one is longer than the other

3 0

3 years ago

Which statement describes the transformation that would map triangle M to triangle N on this grid

wariber [46]

Answer:

i believe the answer would be B

Step-by-step explanation:

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=make%20x%20the%20subject%20of%20formula%20in%20the%20equation%204a%5Csqrt%7Bx%7D%20%3D%5Cfrac%

kipiarov [429]

Answer: $x = (\frac{1}{4ab})^{2}$

Step-by-step explanation:

Given:

$4a\sqrt{x} = \frac{1}{b}$

To make $x$ the subject of the formula means that we want to make $x$ to stand alone , the first thing to do is to multiply through by 1/4a , that is

$\sqrt{x} = \frac{1}{4ab}$

take the square of both sides:

$x = (\frac{1}{4ab})^{2}$

3 0

2 years ago

Read 2 more answers

Can you please help with this question about exponential equations?

RSB [31]

Since $t$ represents the number of years passed since 2005, in 2005 we have $t=0$ , and in 2015 we have $t=10$ . Let $P_J(y),P_D(y)$ represent the profits of Jones and Davis, respectively, at year y.

We have

$P_J(2005) = 10(0.99)^0 = 10,\quad P_J(2015) = 10(0.99)^{10}\approx 9$

$P_D(2005) = 8(1.01)^0 = 8,\quad P_D(2015) = 8(1.01)^{10}\approx 9$

Choosing the best company somehow depends on how much time you can wait: Jones start with a higher value (10 vs 8), but it has a descending trend, because the multiplicative factor $0.99^t$ goes to zero as t grows.

On the other hand, Davis starts with a smaller value, but $1.01^t$ tends to infinity as t grows.

So, if you need an immediate result, the most valuable company is Jones, otherwise you're certain can Davis will eventually become bigger.

More precisely, we have

$8\cdot 1.01^t = 10\cdot 0.99^t \iff 0.8 = \left(\dfrac{0.99}{1.01}\right)^t \iff t\approx 11$

So, after 11 years, Davis will overcome Jones.

3 0

3 years ago