Solve for x in the equation 3 x squared minus 18 x + 5 = 47.

A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length

lina2011 [118]

The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2) perform indicated multiplication on right side

S^2=2S^2-4S-3S+6 combine like terms on right side

S^2=2S^2-7S+6 subtract S^2 from both sides

S^2-7S+6=0 factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S. Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3 given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.

5 0

3 years ago

Look at the following sum. 1 + 1⁄2 + 1⁄4 + 1⁄8 + 1⁄16 + 1⁄32 + 1⁄64. . .

bija089 [108]

1.96875
that is the correct answer

3 0

3 years ago

Read 2 more answers

The weights, in pounds, for 15 horses in a stable were

sweet-ann [11.9K]

The median value remains unchanged if the four values are reported using the corrected weight.

The correct answer is an option (B)

We know that the mean is calculated by finding the sum of all the weights of the horses and then dividing by the number of horses.

Decreasing one of the weights would decrease the sum and therefore decrease the mean.

So, the choice A is incorrect.

We know that the range is the difference between the highest and lowest weights, so decreasing the lowest weight would increase the range.

So, the choice C is incorrect.

We know that the Standard deviation is calculated based on the mean weight of the horses.

And decreasing one of the weights decreases the mean and therefore would affect the standard deviation.

So, the choice D is incorrect.

Now, as we know the median the middle value in a sorted, ascending or descending list of values.

So, the median weight is found by ordering the horses’ weights from least to greatest and then determining the middle value from this list of weights.

Decreasing the value for the horse with the lowest weight doesn’t affect the median since it’s still the lowest value.

Therefore, the median value remains unchanged if the four values are reported using the corrected weight.

The correct answer is an option (B)

Learn more about the median here:

brainly.com/question/28060453

#SPJ4

7 0

1 year ago

Suppose that 13 inches of wire costs 78 cents.

GarryVolchara [31]

Answer:

$0.42

Step-by-step explanation:

create a proportion:

13/.78 = 7/x

cross-multiply to get:

13x = 7(.78)

13x = 5.46

x = 5.46/13

x = .42

5 0

2 years ago

The states C and D spend a total of $56.6 million for tourism. The state C spends $2.6 million more than the state D. Find the

igomit [66]

Answer:

State C : $30.9 Million State D : $25.7 Million

Step-by-step explanation:

It may help to just forget about the word "million" and focus on the decimal number part,so one you get the deciaml number you can just put the word million after it as your answer.

First do 56.6 divided by 2, which equals 28.3. Since it said that State C spends 2.6 million more, you hvae to add 28.3 and 2.6 together, which also equals 30.9. So now you know State C spends $30.9 million total. In order to find out how much money State D sends, you have to do 56.6 - 30.9,which comes up to 25.7. So finnaly you know that State C spends 30.9 million dollars and State D spends 25.7 million dollars.

5 0

3 years ago