The mass of a an atom of helium is 6.65 x 10^−24. Use scientific notation to express the mass of 250 helium atoms.


A) 1.6625 x 10−21

B) 1.6625 x 10−22

C) 1.6625 x 10−24

D) 1.6625 x 10−26

Answer:

81..........................................................................................

Step-by-step explanation:

Answer:

The answer should be A) v-z w-x

Step-by-step explanation:

Answer:

its -5 just took the test

Step-by-step explanation:

Answer:

The correct answer is option B, - 5

Step-by-step explanation:

Answer:

−5x − 7 < −22 and −5x − 7 ≥ −3 (the first one)

Step-by-step explanation:

22 is bigger than -5x and 7

-5x-7 is equal to or less than 22

and negative 3 is just negative 3

hope this helps!

The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 is -5x - 7 < -22 and -5x - 7 ≥ -3.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

We can subtract 7 from all parts of the inequality to get:

-29 > -5x ≥ -10

Then we can divide all parts by -5 (and remember to reverse the direction of the inequality signs because we are dividing by a negative number) to get:

5.8 < x ≤ 2

So, an equivalent form of the compound inequality -22 > -5x - 7 ≥ -3 is:

-5x - 7 < -22 and -5x - 7 ≥ -3

Therefore, the equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 is -5x - 7 < -22 and -5x - 7 ≥ -3.

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To estimate the length of one wall of the square kitchen, take the square root of the area of 500 square feet, which gives approximately 22.4 feet, rounded to the nearest tenth.

The student is asking how to estimate the length of one wall in a square kitchen that has an area of 500 square feet. To find the length of the wall, you need to take the square root of the area because the area of a square is equal to the side length squared. Using a calculator, the square root of 500 is approximately 22.36 feet. Therefore, the length of one wall of the square kitchen is approximately 22.4 feet, rounded to the nearest tenth of a foot.

Answer:

Yes, one box of Oaties is enough for everyone.

Explanation:

To find out if one box of Oaties is enough for everyone, let's calculate the total amount of cereal needed for each group and then sum them up.

For the younger children:

Number of younger children = 11

Amount of cereal needed for each younger child = 1/3 cup

Total cereal needed for younger children = Number of younger children × Amount of cereal needed for each younger child

Total cereal needed for younger children = 11 × 1/3 = 11/3 cups

For the older children:

Number of older children = 10

Amount of cereal needed for each older child = 3/4 cup

Total cereal needed for older children = Number of older children × Amount of cereal needed for each older child

Total cereal needed for older children = 10 × 3/4 = 30/4 = 7.5 cups

Now, let's sum up the total cereal needed for both groups:

Total cereal needed = Total cereal needed for younger children + Total cereal needed for older children

Total cereal needed = 11/3 + 7.5

To add fractions, we need a common denominator, which is 3 in this case:

Total cereal needed = (11/3) + (7.5 × 3/3)

Total cereal needed = (11/3) + (22.5/3)

Total cereal needed = (11 + 22.5) / 3

Total cereal needed = 33.5/3

Now, 33.5/3 cups of cereal are needed for everyone.

Since one box of Oaties contains 12 cups of cereal, let's check if it's enough:

1 box = 12 cups

So, 12 cups > 33.5/3 cups

Yes, one box of Oaties is enough for everyone.

Answer: It is a rational number.

Step-by-step explanation:

Sine we know that Rational numbers are those numbers which can be written in the form of p/q where, q is not equal to zero.

Here p denotes the numerator and q denotes the denominator.

So, According to question,

p = 19 and q = 7

Hence, it is written in p/q form.

Therefore, it is a rational number.

Answer:

13 1/3 miles = 40/3 miles

Step-by-step explanation:

1 1/8 gallons of gasoline  = 9/8 gallons of gasoline

(40/3) / (9/8)

= 40/3 x 8/9

= 320 /27

= 11 23/27 miles gallon of gasoline

The question is about comparing the ratios or rates of the number of cans to cost. This mathematical analysis can help you determine which option offers the best value for money. The same method can be used to compare prices of different types of fruits.

The subject of the problem concerns the unit cost for purchasing cans or apples, bananas, grapes, and raspberries. It's essentially a comparison between two ratios or rates in mathematics. In this case, we have the ratio of cans to cost (either 5 cans for $6 or 8 cans for $10). For the first ratio, the price per can is $6 ÷ 5 cans = $1.2 per can. In the second scenario, the price per can is $10 ÷ 8 cans = $1.25 per can. Therefore, the option of 5 cans for $6 has a lower cost per can compared to the option of 8 cans for $10.

With the same method, you can compare prices of different types of fruits (apples, bananas, grapes, and raspberries), determining which fruit gives you the best value for your money based on the price per unit.

Through this kind of mathematical analysis, you can make informed decisions about value for money, which is a useful skill not only in performing school assignments but also in real-world situations such as grocery shopping.

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Answer:

$33,856

Step-by-step explanation:

We have been given that in 1980, when the consumer price index (CPI) was 82.4, Ivan purchased a house for $71,900. The CPI in 1970 was 38.8. We are asked to find the cost of house in 1970.

[tex]\text{Past dollars in terms of recent dollars}=\text{Dollar amount}\times \text{Ending-period CPI}\div\text{ Beginning-period CPI}[/tex]

Substitute the given values:

[tex]\text{Cost of house in 1970}=\$71,900\times 38.8\div 82.4[/tex]

[tex]\text{Cost of house in 1970}=\$71,900\times 0.470873786407767[/tex]

[tex]\text{Cost of house in 1970}=\$33,855.825242718[/tex]

[tex]\text{Cost of house in 1970}\approx \$33,856[/tex]

Therefore, the cost of house in 1970 was $33,856.