The length of a rectangle is 5 cm longer than twice the length of the width. If the are of the rectangle is 403 square centimeters, what is the width?

Answers

Answer 1

Answer: You could set up a system of equations and solve for that, and you 2 equations that you would use would be:
x=2y+5
xy=403
(x = length)
(y = width)
But for this problem, we can notice that:
we need 2 numbers that will multiply together and equal EXACTLY 403, and then they have to be in a somewhat similar range, because the larger number is only twice the smaller, plus a few. So, all we need to do is find 2 numbers that multiply to 403 that are within a few numbers. It turns out that the only two whole numbers that multiply to 403 are
31
and
13
Test them in either equation that is listed at the top, and they work. The question is asking for the width, and because the width doubled plus 5 equals the length, that means that the width will be the smaller number. Therefore, the width is 13 cm.

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What is 6^2 in expanded form. A.12 b.2x2x2x2x2x2 c.36 d.6x6

Answers

6x6 is 6² in expanded form.

Given that, the expression 6² to expand the equation,

The expanded form of the given expression will be 6 multiplied by 6.

In another word, the expanded form of the given expression will be:

6² = 6*6

Therefore, option D is correct.

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Anything to the power of 2 is that number times itself. So 5^2 would be 5*5, that means 6^2 is 6*6

A drug trial had 256 participants. A survey was done to gather information about the participants experiences with side effects.

Answers

Answer:

There is really no solution because the question doesn't look full and cannot be answered without more details.

How many quarts are in 9 & a half gallons please help

Answers

There are 38 quarts in a 9.5 gallons since 9.5 × 4= 38.

Find the mean of the following data set. 42, 45, 58, 63

Answers

The mean of the given data will be equal to 52.

What is mean?

Mean is defined as the ratio of the sum of the given data to the number of the counts of the data.

Given that:-

42, 45, 58, 63

The mean will be calculated as:-

Mean = Sum of the data sets ÷ Number of the data sets

Mean = ( 42 + 45 + 58 + 63 ) ÷ 4

Mean = 208 ÷ 4

Mean = 52

Therefore the mean of the given data will be equal to 52.

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To find the Mean you have to add all the numbers from the data set,
$42+45+58+63=208$
Next you divide the sum by the amount of numbers in the set,
$208/4=52$
Final Answer: 52

Evaluate the following function for f(4).f(x) = 5 + √x

Write your answer as an integer, like this: 12

Answers

f( 4 ) = 5 + $√(4) = 5 + 2 = 7 ;$

$f(4)=5+\sqrt4=5+2=7$

If you decide to play a Pick 3 lottery game, in which you have to guess the exact order of the three numbers, what is your probability of winning? All 3 numbers will be between 0 and 9 and can be chosen more than once. A. 1/100 B. 1/1000 C. 3/1000 D. 1/720