Ask question

Ask question

All categories

3 months ago

13

It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of ca

lcium, and one ounce of cheddar cheese contains 200 mg of calcium. If a person meets the recommendation by consuming x ounces of whole milk and y ounces of cheddar cheese, then 25x + 2007 2 1,000. Which choice give an amount of milk and cheese tha a person could consume to meet the recommendation?
A. 50 oz milk and 2 oz cheese
B. O oz milk and 4.5 oz cheese
C. 10 oz milk and 3 oz cheese
D. 39 oz milk and 0 oz cheese

1 answer:

Zina [12.3K]3 months ago

3 0

Given:

It's advisable for adults to ingest no less than 1,000 mg of calcium daily.

$25x+200y\geq 1000$

Step-by-step explanation:

Let x represent the amount of milk in ounces, and y the amount of cheddar cheese in ounces.

A person fulfills the daily requirement if

$25x+200y\geq 1000$

For option A,

Substituting x=50 and y=2 into the provided inequality.

$25(50)+200(2)\geq 1000$

$1250+400\geq 1000$

$1650\geq 1000$

This statement is true. Hence, option A is correct.

Similarly,

For option B,

Substituting x=0 and y=4.5 into the provided inequality.

$25(0)+200(4.5)\geq 1000$

$900\geq 1000$

This statement is false. Hence, option B is incorrect.

For option C,

Substituting x=10 and y=3 into the provided inequality.

$25(10)+200(3)\geq 1000$

$850\geq 1000$

This statement is false. Hence, option C is incorrect.

For option D,

Substituting x=39 and y=0 into the provided inequality.

$25(39)+200(0)\geq 1000$

$975\geq 1000$

This statement is false. Hence, option D is incorrect.

The only correct option is A.

You might be interested in

How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show

Leona [12618]

Answer:

Step-by-step explanation:

Proceed to your table

6 0

2 months ago

Read 2 more answers

What values of b satisfy 3(2b + 3)2 = 36?

Inessa [12570]

To determine the values of b that fulfill 3(2b+3)^2 = 36

we start with
3(2b+3)^2 = 36
Divide both sides by 3
(2b+3)^2 = 12
Next, take the square root of both sides
(2b+3)} = (+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3

b1=\frac{\sqrt{12}}{2} -\frac{3}{2}
b1=\sqrt{3} -\frac{3}{2}

b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
Thus,

the solutions for b are
b1=\sqrt{3} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}

9 0

3 months ago

Factorise 125x^3 -27y^3

Svet_ta [12734]

(5x - 3y)(25x² + 15xy + 9y²) Step-by-step explanation: 125x³ - 27y³ is a difference of cubes and can be factored as a³ - b³ = (a - b)(a² + ab + b²). Given 125x³ - 27y³ = (5x)³ - (3y)³, it can be written as (5x - 3y)((5x)² + (5x)(3y) + (3y)²) = (5x - 3y)(25x² + 15xy + 9y²).

6 0

2 months ago

A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder is 7 feet from the wall. The

lawyer [12517]

Answer:

Step-by-step explanation:

Refer to the attachment below

5 0

2 months ago