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2 years ago

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A man travelled 450 km on the first day and 565,000 m on the second and the third day he travel double the distance you travel o

n the first day on the fourth day he reached his destination which was 2500km from his starting point how far did he travel on the fourth

1 answer:

Gnom [1K]2 years ago

7 0

Answer:

1000miles

Step-by-step explanation:

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Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas

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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

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Given:

It is recommended that adults consume at least 1,000 mg of calcium every day.

$25x+200y\geq 1000$

Step-by-step explanation:

Let, x be the quantity of milk in ounces and y be the quantity of cheddar cheese in ounces.

A person meets the recommendation, if

$25x+200y\geq 1000$

For option A,

Substitute x=50 and y=2 in the given inequality.

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

$1250+400\geq 1000$

$1650\geq 1000$

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

Similarly,

For option B,

Substitute x=0 and y=4.5 in the given inequality.

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

$900\geq 1000$

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

For option C,

Substitute x=10 and y=3 in the given inequality.

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

$850\geq 1000$

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

For option D,

Substitute x=39 and y=0 in the given inequality.

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

$975\geq 1000$

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

Therefore, the correct option is only A.

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2 years ago

500 people are surveyed and asked to check the boxes that apply to them.

motikmotik

Answer:

1. A Venn diagram is attached. The amount of people that have health insurance and is confident about the economy is 287.

2. The amount of people that have health insurance and is not confident about the economy is 116.

3. The amount of people that have health insurance or is confident about the economy is 437.

Step-by-step explanation:

1) Using sets theory, we know:

U: 500 people surveyed

A: people who is confident in the economy

B: people that have health insurance

A' and B': people who is not confident in the economy and don't have health insurance.

A=321

B=403

A' and B' =63

In the attached picture we can see a Venn diagram that represents the situation. In order to obtain the intersection of both sets A∩B, we calculate:

(321 - x) + (403 - x) + x + 63 = 500

321 - x + 403 - x + x + 63 +x -500 = 500 +x - 500

321 + 403 + 63 -500 = x

x= 287

2) The amount of people that have health insurance and is not confident about the economy is given by the intersection of the complement of set A and set B:

A' ∩ B can be calculated as:

B - (A ∩ B)= 403 - 287= 116

3) The amount of people that have health insurance or is confident about the economy is given by:

(A∪B) = (A) + (B) - (A ∩ B)

(A∪B) = 321 + 403 - 287= 437

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2 years ago