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2 years ago

Which expression is equivalent to 2√98⋅√2? 4√98 784 14√2 28

Mathematics

2 answers:

kicyunya [14]2 years ago

7 0

<h2>Option D is the correct answer.</h2>

Step-by-step explanation:

We need to find $2\sqrt{98}\times \sqrt{2}$

Solving we will get

$2\sqrt{98}\times \sqrt{2}=2\times \sqrt{2}\times \sqrt{49}\times \sqrt{2}\\\\2\sqrt{98}\times \sqrt{2}=2\times 2\times 7\\\\2\sqrt{98}\times \sqrt{2}=4\times 7\\\\2\sqrt{98}\times \sqrt{2}=28$

Option D is the correct answer.

zhannawk [14.2K]2 years ago

3 0

I am not 100% sure this is right but I believe its 28:)

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Gross worldwide sales in Mattel's Wheels (Hot Wheels) brand was $885.1 million in 2016 and $847 million in 2017. Calculate the a

attashe74 [19]

Answer:

Step-by-step explanation:

Absolute Change = final change in 2017 sales - initial change in 2016 sales = $847,000,000 - $885,100,000 = 38,100,000

Relative Change = (Final - Initial change)/initial change x 100% = 38,100,000/885,100,00 x 100% = 381/8851 x 100% = 0.0430459835 x 100% = 4.30%

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2 years ago

Mrs. Chen's students are making and decorating gift boxes for a nursing home. If the boxes are 7 inches wide, 7 inches long, and

pishuonlain [190]

Answer:

$84\text{ in}^2$ .

Step-by-step explanation:

We have been given that Mrs. Chen's students are making and decorating gift boxes for a nursing home. The boxes are 7 inches wide, 7 inches long, and 7 inches high. We are asked to find the amount of cardboard that is needed for each box.

We will use surface area of cuboid formula to solve our given problem.

$SA=2(lw+lh+hw)$ , where,

l = Length,

w = Width,

h = Height

$SA=2(7\text{ in}\cdot7\text{ in} +7\text{ in}\cdot7\text{ in}+7\text{ in}\cdot7\text{ in})$

$SA=2(14\text{ in}^2+14\text{ in}^2+14\text{ in}^2)$

$SA=2(42\text{ in}^2)$

$SA=84\text{ in}^2$

Therefore, Mrs Chen needs 84 square inches of cardboard.

3 0

3 years ago

Which of the following is the most appropriate unit to describe the rate at which people are entering a theme park?

ad-work [718]

The correct answer is:

d) People per hour, because the dependent quantity is the people

Explanation:

In this situation, the two quantities are people and hours. These are the two things in this problem we can count or measure.

The independent variable is the one that causes a change, while the dependent variable is the one that gets changed. In this situation, the number of people change every hour; this means the number of people gets changed, which makes it the dependent variable. This means that the independent variable must be time.

Since people is dependent and time is independent, "people per hour" would be the best form of this statement.

6 0

2 years ago

5 5/8 - 5 1/8 simplify .

uranmaximum [27]

Answer: 5 : 3 1/8 = 8 : 5

Step-by-step explanation:

Change values to whole numbers.

Convert any mixed numbers to fractions.

Convert 3 1/8

3 1/8 = 25/8

We now have:

5 : 3 1/8 = 5 : 25/8

Convert the whole number 5 to a fraction with 1 in the denominator.

We then have:

5 : 3 1/8 = 5/1 : 25/8

Convert fractions to integers by eliminating the denominators.

Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator

LCD(5/1, 25/8) = 8

We now have:

5 : 3 1/8 = 40/8 : 25/8

Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.

We then have:

5 : 3 1/8 = 40 : 25

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 40 and 25 is 5

Divide both terms by the GCF, 5:

40 ÷ 5 = 8

25 ÷ 5 = 5

The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

40 : 25 = 8 : 5

4 0

2 years ago

M N. M (8x+17) (12x-39)

Tanzania [10]

Answer:

96x^2 - 108 - 663

Step-by-step explanation:

(8x + 17)(12x - 39)

96x^2 - 312x + 204x -663

96x^2 - 108 - 663

5 0

2 years ago