Ask question

Ask question

All categories

8 days 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 [3.9K]8 days 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

Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What

lawyer [4008]

Answer:

2/5

Step-by-step explanation:

By subtracting 130, 35, and 74 from the total of 400, you arrive at 160 left. Next, simplify this fraction by finding the greatest common divisor to get 2/5!

8 0

10 days ago

Read 2 more answers

The owner of a local health food store recently started a new ad campaign to attract more business and wants to test whether ave

lawyer [4008]

Answer:

The upper bound of the confidence interval is 3127 $/day.

Step-by-step explanation:

With the new sample, we can determine the one-sided 95% confidence interval.

For this interval (one sided, with 95% confidence), z=1.64.

The total number of observations (n) is 45 days.

The average is 2984 and the standard deviation is 585.

We can estimate the upper limit of the confidence interval as

$UL=X+z*s/\sqrt{n} \\UL = 2984 + 1.64*585/\sqrt{45}=2984+ 959.4/6.708=2984+143=3127$

8 0

8 days ago

the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation

babunello [3635]

Response:

Detailed explanation:

The length of the pool is longer than its width by 8 meters.

If we designate L as length and W as width, we can express this as:

L = 8 + W

We also know that the area amounts to 105 m squared.

Note:

Area of a Rectangle = Length x Width

Thus, 105 = (8 + W) x W

$105 = 8w + w^2\\$

To adjust the equation, subtract 105 from both sides:

$w^2 + 8w - 105 = 0$

5 0

14 days ago

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t

Leona [4166]

B refers to the base of the triangle,
and a signifies the length of the two identical sides.

The measurement labeled as 'a' is larger than 'b' since those equal sides are longer than the base. Given "one of the longer sides measures 6.3 cm," we assign a = 6.3.

Substitute 6.3 for each 'a' in the equation and solve for b:
2a + b = 15.7
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6 (applying subtraction property of equality)
b = 3.1

7 0

16 days ago

Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a

tester [3916]

Answer:

$6.48

Step-by-step explanation:

Initially calculate the 10% discount on $1.60, which results in $1.44. Then multiply $1.44 by 4.5 to find the total, yielding $6.48.

4 0

12 days ago

Read 2 more answers