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The number, such that the geometric mean of the number and four times the number is 22, will be 11.

The arithmetic mean of two numbers [a] and [b] is equal to (a + b)/2  and their geometric mean is equal to  [tex]\sqrt{ab}[/tex]

We have the geometric mean of a number and four times the number is 22.

According to the question, we can write -

G.M. = [tex]\sqrt{ab}[/tex]

Assume that the number is [x]. Then the second number will be [4x]. So -

22 = √4x²

22 = √(2x)²

2x = 22

x = 11

Therefore, the number, such that the geometric mean of the number and four times the number is 22, will be 11.

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Answer:

Answer : - diagonals of rhombus are perpendicular. According to the property of rhombus. Diagonals of rhombus are perpendicular. In this question the triangle NQM is a right angled triangle and it is clear that it is right angled triangle because he mentioned angle MQN = 90°

Answer:

Error

Step-by-step explanation:

Unfinished question

Answer:

76 cm cubed

Step-by-step explanation:

2 x 2 x 4 = 16 cm cubed

3 x 4 x 5 = 60 cm cubed

Answer: 12.9

Step-by-step explanation: Divide 39.99 by 31.00 you'll get 1.29, but you slide the decimal over and get 12.9

Answer:

Whats the question?

Step-by-step explanation:

Answer:

$4.30

Step-by-step explanation:

19.35/9 = 2.15 per pane

2.15 x 2 = 4.3

Answer: use division

Step-by-step explanation:

Answer:

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.

Answer:

x=21

Step-by-step explanation:

69+90= 159

180-159=21

Answer:

We know that the ratio of length and breadth of a rectangular playground is 3:2

Then if the length is L, and the breadth is B, we have the relationship:

L = (3/2)*B

Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:

L' = L + 2m

B' = B + 2m

The area is the product between the area and the breadth, then the area is:

A = B'*L'

A = (L + 2m)*(B + 2m)

And remember that L = (3/2)*B

Then we get:

A =  ((3/2)*B + 2m)*(B + 2m)

And the area is 2816 m^2

Then we have:

A =  ((3/2)*B + 2m)*(B + 2m) = 2816 m^2

Now we can solve the equation:

((3/2)*B + 2m)*(B + 2m) = 2816 m^2

(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2

(3/2)*B^2 + 5m*B =  2816 m^2 - 4m^2 = 2812m^2

Then we can write:

(3/2)*B^2 + 5m*B -  2812m^2 = 0

We can solve this if we use Bhaskara's formula:

[tex]B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}[/tex]

One solution is negative, so we can discard that one, then we only take the positive:

B = (-5m + 130m)/3 = 41.67m

And L = (3/2)*B

L = (3/2)*40.7m = 62.5m

The breadth is 41.67 meters and the length is 62.5 meters.

Answer:67.5

Step-by-step explanation:

5*10=50

5*7=35    35/2=17.5

17.5+50=67.5

Answer:

5*10=50

5*7=35    35/2=17.5

17.5+50=67.55*10=50

5*7=35    35/2=17.5

17.5+50=67.5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

50%, or 1/2 of 20 is 10.

Answer:

10!

Step-by-step explanation:

50% is half, so half of 20 is 10!

see topper. com

Step-by-step explanation:

uyhhghjggg

The value of x would be 11.

Step-by-step explanation:

We can simply just isolate x in the equation to solve:

2x + 40 = 62

(Subtract 40 from both sides) 2x = 22

(Divide each side by 2) x = 11

Hope this helps! :)

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Explanation:

If we knew the value of x, we would use PEMDAS to evaluate 2x+40 to get some single number value. For instance, if x = 4, then 2x+40 becomes 2(4)+40 which evaluates to 48 when you use PEMDAS.

However, we don't know the value of x. To find x, we follow PEMDAS in reverse to undo everything happening to x.

Note the order in which stuff is happening to x

To undo this, we follow this process in reverse. So we need to undo the "add 40" part first, which was the last thing done. That means we'll subtract 40 from both sides

2x+40 = 62

2x+40-40 = 62-40

2x = 22

Then we undo the "multiply by 2" part. We'll divide both sides by 2

2x = 22

2x/2 = 22/2

x = 11

Let's check the answer.

2x+40 = 62

2(11)+40 = 62 ... x replaced with 11

22+40 = 62

62 = 62

Since we get the same thing on both sides, we get a true equation and this confirms we have the correct x value.

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

Answer:

23,200

Step-by-step explanation:

A = P(1 + rt)

A = 16,000(1 + (0.09)(5))

Simplify brackets first

A = 16,000(1 + 0.45)

A = 16,000(1.45)

A = 23,200

Answer:

Faces

Step-by-step explanation:

They both have 5 faces each....

Hope it helps!!!

The geometric sequence is a sequence with a common ratio. The common ratio is the ratio between the succeeding term and the preceding term of a sequence and must be equal to a constant k.

Given a sequence 2, 4, 8, 16... This sequence is geometric in nature because of a constant common ratio of 2.'

Common ratio = 4/2 = 8/4 = 2

Hence a geometric sequence is characterized by its common ratio

Answer:

7 hours

So you so 642-425= 217, then you do 217/31= 7

your answer is 7

Answer:

8 pints

Step-by-step explanation:

Answer:

- 13 × k = -13k

good luck, hope this helps :)

Answer:

f=8/5

Step-by-step explanation:

f*2+=f7

2f+8=f*7

2f+8=7f

2f=7f-8

2f-7f=-8

-5f=-8

Answer:

1) D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Step-by-step explanation:

Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president

Given that;

P(D) = 0.23

P(R) = 0.64

Conditional P(D | R) =  0.35

1) Are R and D independent events?

we know that two events A & B are independent events if; P(B | A) = P(B)

here, P(D | R) =  0.35 and P(D) = 0.23

so; P(D | R) ≠ P(D)

Therefore D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020;

we know that;

P(D | R) = P(D ∩ R) / P(R)

we substitute

0.35 = P(D ∩ R) / 0.64

P(D ∩ R) = 0.35 × 0.64

P(D ∩ R)  = 0.224

Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?

P(R | D) = P(D ∩ R) / P(D)

we substitute

P(R | D) = 0.224 / 0.23

P(R | D) = 0.9739

Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both

P(D ∪ R) = P(D) + P(R) - P(D ∩ R)

we subtitute

P(D ∪ R) = 0.23 + 0.64 - 0.224

P(D ∪ R)  = 0.646

Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Answer:

if I am not mistaken.. the median would be 9 and the the mean is also 9.

Step-by-step explanation:

first you order the numbers from least to greatest and the find with is the middle number to find the median.

6,7,8,8,8,9,10,12,13 (answer: 9)

To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.

1) 6+7+8+8+8+9+10+12+13= 81

2) 81 ÷ 9 =9

Answer:

Mean: 9, Median: 8 Mode: 8

Step-by-step explanation:

MEAN:   The AVERAGE total of all the values divided by the numbers of values.

6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81        81/9 (set of #'s)= 9

MEDIAN:  The number in the MIDDLE of the list of values.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, the middle value is 8

MODE:   The number that appears the most.

6, 7, 8, 8, 8, 9, 10, 12, 13         So, 8 appears 3 times.

Hope this helps!

Answer:

17, 18

Step-by-step explanation:

closest perfect square that is lower than 307 is 289

closest perfect square that is greater than 307 is 324

[tex]\sqrt{289} < \sqrt{307} < \sqrt{324}[/tex]

[tex]17<\sqrt{307} <18[/tex]

Answer:

responde la pregunta tú sólo déjame en paz

The 51 gram of sugar has 204 calorie and there is 62.5 gram of sugar in 250 calories.

A measurement unit is a unit to measure certain quantities.

For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.

Solve these problems using the conversion unit for calorie to gram.

(1) 1 gram = 4 calories

Then, 51 grams = 51 × 4

                         = 204 calories

(2) 4 calorie = 1 gram

    1 calorie = 1/4 gram

    250 calorie = 1/4 × 251

                        = 62.5 gram

Hence, smoothie containing 51 gram sugar has 204 calories and in 250 calories of smoothie there is 62.5 gram of sugar.

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