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GREYUIT [131]
3 years ago
13

Which of the following statements is false?

Mathematics
1 answer:
kramer3 years ago
5 0

Option D

The sum of two irrational numbers is always rational is false statement

<em><u>Solution:</u></em>

<h3><u>The sum of two rational numbers is always rational</u></h3>

"The sum of two rational numbers is rational."

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

For example:

\frac{1}{4} + \frac{1}{5} = \frac{9}{20}

rational number + rational number = rational number

Hence this statement is true

<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

So this statement is correct

<h3><u>The product of two rational numbers is always rational</u></h3>

The product of two rational numbers is always rational.

A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0

Any integer is a rational number because it can be written in p/q form.

Hence it is clear that product of two rational numbers is always rational.

So this statement is correct

<h3><u>The sum of two irrational numbers is always rational</u></h3>

"The sum of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

Thus this statement is false

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Factor out the coefficient of the variable. 1/3b-1/3
BartSMP [9]
1/3b-1/3
factor out 1/3
1/3(b-1)

hope this helps
5 0
3 years ago
There are 1,217 students and 75 teachers eating lunch in a cafeteria. Of those people, 562 are drinking chocolate milk. The rest
FrozenT [24]

Answer: When Rebecca Hodges sent her son to Pre-K in Brooklyn, she was excited for the year to come—full of learning adventures and making new friends. While his education got off to a strong start, Hodges quickly realized something was wrong.

Her son, just five years old, was gaining an alarming amount of weight. Within 6 months, he had gained 11 pounds and his body mass index went from the 60th to the 98th percentile. He began having trouble breathing and sleeping at night. “His diet at home, which was low in sugar, did not change,” she said. “When I brought him to the pediatrician and we started asking him questions about what he was drinking and eating, we realized this was happening because of school.”

Hodges discovered her son was drinking two boxes of chocolate milk a day, each with 20 grams of total sugar, 12 grams of natural sugar from lactose and 8 grams of added sugar. Those 8 grams of added sugar add up to almost one third of a child’s daily sugar allowance according to the American Heart Association and the World Health Organization, which both recommend that children limit sugar to 5 percent of their daily intake —about 6 teaspoons or 25 grams — of added sugar per day.

Hodges’s son is far from a unicorn in the classroom. He is just one of thousands of children growing sick from sugar in a country where the obesity epidemic has reached epic rates and shows no signs of slowing down. Health-care costs related to obesity in this country topped $1.72 trillion dollars in 2018.

In the state of New York, childhood obesity has tripled over the past three decades. In New York City, 40 percent of NYC public school students aged 6 to 12 are overweight or obese. While NYC’s overweight and obesity numbers have been relatively constant over the last 5 years, in communities with underserved populations obesity is on the rise.

Childhood obesity disproportionately affects low-income communities and communities of color. In New York City, children living in the Bronx have the highest prevalence of overweight (43 percent vs. 4 percent in Brooklyn, 40 percent in Staten Island, 39 percent in Queens, 38 percent in Manhattan).

According to the Youth Risk Behavior Survey by the CDC, compared to New York City students, a higher proportion of East and Central Harlem students are overweight and obese. Thirty-five percent of East and Central Harlem students in grades 9-12 are overweight and obese compared to 28 percent in NYC. Obesity rates in low income East Harlem are higher than what they are on the wealthier Upper East Side, just a few short blocks away.

Additionally, according to research reported in Obesity Reviews, obese children and adolescents were approximately “five times more likely to be obese in adulthood than those who were not obese.”

Research also suggests that consuming sweetened beverages such as chocolate milk every day can train a child’s palate to prefer sugar-sweetened foods.

In response, more and more school districts have been removing chocolate milk from their menus. Chocolate milk is banned in Boulder, Minneapolis, Washington D.C., Montgomery County, Maryland, and most recently, San Francisco.

Even New York City’s Department of Corrections (DOC) has phased out sugar-sweetened beverages because of their ties to costly obesity-related diseases. Ten years ago DOC Commissioner Martin Horn told Gothamist, “the move will save money in the long run because healthier inmates will be less prone to strokes, heart attacks or diabetic shock on the city’s watch.” Today, the DOC bans both chocolate milk and juice. And yet, NYC’s Department of Education (DOE) continues to serve chocolate milk (and juice) to 1.1 million children a day. In fact, out of the 1,866 schools within the DOE, only 198 schools opted out of serving chocolate milk in FY 2019.

Rumors have been circulating that DOE may remove chocolate milk from public schools, but it’s deputy press secretary Avery Cohen, would not confirm. She offered this statement: “Our priority is the health and well-being of our students, and every day, we offer a variety of healthy food options that exceed USDA standards. We’ll continue to work with the Department of Education and Department of Health to ensure our meals are nutritious.”

Instead of eliminating chocolate milk as a public health policy, the DOE has outsourced chocolate milk decisions to principals, who may choose to stop serving it in their individual schools. This shifts a huge burden to educators, who want to keep peace with parents of differing views, and who are presumably not health professionals.

3 0
3 years ago
How can estimating the quotient help you check that your answer to a division problem is reasonable?​
neonofarm [45]

Explanation:

If your actual answer is very far from your estimate, you probably made a mistake somewhere.

__

<em>Additional comment</em>

50 years ago, when a slide rule was the only available calculation tool, making an estimate of the result was a required part of doing the calculation. Not only were the first one or two significant digits needed, but also the power of 10 that multiplied them. Use of a slide rule required the order of magnitude be computed separately (by hand) from the significant digits of the result.

__

You may also find it useful to estimate the error in your estimate. That is, you may want to know the approximate answer to 2 (or more) significant digits in order to gain confidence that your calculation is correct.

7 0
3 years ago
Write an<br> equation of a line with the given slope and y-intercept.<br> m=-2, b=3
GuDViN [60]

Answer:

y=-2x+3

Step-by-step explanation:

y=mx+b

m=-2,b=3

so, y=-2x+3

hopes this helps

4 0
3 years ago
A garden wall is 4 feet in height and has a 6-foot shadow. A tree in the garden casts a 24-foot shadow at the same time of day.
4vir4ik [10]

Answer:

7height

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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