Mathematics High School

How much must be added to each of the three number 1, 11, and 23 so that together they form a geometric progression?

Answers

Answer 1

Answer:

49

Step-by-step explanation:

Let the three numbers be a1, a2, a3

Let the number to be added to form a geometric progression = x

a1 = 1 + x ; a2 = 11 + x ; a3 = 23 + x

For a geometric progression :

a2 = a1 * r

a2 = (1+x)r

11+x = (1+x)r - - (1)

r = (11+x) / (1+x) ---(1)

a3 = a2 * r

a3 = (11+x)r

23+x = (11+x)r - - -

r = (23+x) / (11+x) - - (2)

Equate (1) and (2)

(11+x) / (1+x) = (23+x) / (11+x)

(11+x) * (11+x) = (23+x) * (1+x)

121 + 22x + x² = 23 + 24x + x²

121 + 22x + x² - x² - 24x - 23 = 0

98 - 2x = 0

-2x = - 98

x = 98 / 2

x = 49

Related Questions

which table represents a linear function?

Answers

The first box represent a linear function
The first box is the answer

Geometry: Find the height of the taller flagpole

Answers

Answer:

i think 21 or 11

Step-by-step explanation:

bc 2+4=6 & 7+4=11

or 2×3=6 & 7×3=21

write n^5 x n^2 without exponents ​

Answers

(n x n x n x n)(n x n)

The value without Exponent are  n x n x n x n x n x n x n.

What are Exponents and Powers?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

[tex]n^5[/tex] x n²

Using the Property of Exponents and power

[tex]a^m[/tex] x [tex]a^n = a^{m+n[/tex]

So, [tex]n^5[/tex] x n²

= [tex]n^{5+2}[/tex]

= [tex]n^7[/tex]

= n x n x n x n x n x n x n

Hence, the exponents is n x n x n x n x n x n x n.

Learn more about Exponent and power here:

https://brainly.com/question/15722035

#SPJ2

I need help with Geometry

Answers

Answer: 4

Step-by-step explanation:

Evaluate the following expression when x = -5 and y = -12. | 4x^2 - 2y |

Answers

the answer to this is -76

can you guys please help me quick !

Answers

Answer:

31

Step-by-step explanation:

58 - 27 = 31

:) (1,-2) and (7,-2)
Find the slope

Answers

Answer:

0

Step-by-step explanation:

The slope should be a 0 slope, since both of the Y values are the same.

0, hopefully this helps

need help.
thank you so much

Answers

21- B
22- A
23- d
24 C
25 a
Hope that helped sorry if wrong

help!! (show all the work please)

Answers

The area is 6
3+4+5 /2 3 plus 5 is 8 plus 5 is 13
13/2 is 6.5 round it off to 6 hope that helped and sorry if I got it wrong

Answer:

I believe the answer is 6cm

Step-by-step explanation:

A = (3 × 4) ÷ 2

A = 12 ÷ 2

A = 6

x = -1+y
2x - y = 0
All of this is one question it’s simultaneous equations. Can someone please help

Answers

Answer:

y = 2

Step-by-step explanation:

x= -1+y

2x-y=0

2(-1+y)-y=0

-2+2y-y=0

-2+y=0

-2+2+y=0+2

y=2

hope it's helpful ❤❤❤❤

THANK YOU.

#

Answer:

[tex]2( - 1 + y) - y = 0 \\ - 2 + 2y -y = 0 \\ y = 0 + 2 \\ y = 2 \\ x = - 2[/tex]

Help please.
Is algebra.

Answers

Answer:

3

Step-by-step explanation:

To find the average rate of change, we can use the formula: (y2-y1) / (x2-x1).

Let (15, 45) be (x1, y1) and (29, 87) be (x2, y2).

So we have: (87-45) / (29-15)

This can be simplified to: 42/14, or 3.

Let me know if this helps!

The answer is 3 I hope this helps

A circus has 12 performers, of which 3 are dancers.

What is the probability that a randomly selected performer will be a dancer?

Write your answer as a fraction or whole number.

P(dancer) =

Answers

Answer:

1/4

Step-by-step explanation:

Divide 12 by 4 to get the chance to pick a dancer

Find the value of x: x/6 = 16/48

Answers

Answer:

x = 2

Step-by-step explanation:

x/6 = 16/48

48x = 6 . 16

48x = 96

x = 96/48

x = 2

-(x-3)=-7 I need help with this equation

Answers

Answer:

x = 10

Step-by-step explanation:

Given

- (x - 3) = - 7 ( divide both sides by - 1 )

x - 3 = 7 ( add 3 to both sides )

x = 10

jakie 160 miles from gary indiana to indianapolis,indiana in 4.5 hours at at that rate how long would it take her to dirve from gary to detriot michigan witch is a distance of 240 miles

Answers

Answer:

2222

Step-by-step explanation:

Solve.
4(2z - 8) = 16

Answers

Answer:

z = 6

Step-by-step explanation:

Given

4(2z - 8) = 16 ( divide both sides by 4 )

2z - 8 = 4 ( add 8 to both sides )

2z = 12 ( divide both sides by 2 )

z = 6

Answer:

z =6

Step-by-step explanation: hope this help

What is the sum (2/5x + 5/8) + (1/5x - 1/4)?

a. 3/5x + 1/8

b. 3/5x + 3/8

c. 3/5x + 5/8

d. 3/5x + 7/8​

Answers

Answer:

[tex]\frac{3}{8} + \frac{3x}{5}[/tex]

Step-by-step explanation:

[tex]\left(\frac{2}{5}x + \frac{5}{8}\right)+\left(\frac{1}{5}x-\frac{1}{4}\right)[/tex] =

[tex]\frac{2}{5}x+ \frac{1}{5}x+ \frac{5}{8}- \frac{1}{4}[/tex] (Group Like Trems) =

[tex]\frac{3}{5}x+\frac{5}{8}-\frac{1}{4}[/tex] =

[tex]\frac{3}{8}+ \frac{3x}{5}[/tex]

Enter the value of the variable x
6(x + 3) - 3 = 39

What is the variable x ?

Answers

Answer:

bbhdyshbs ndnusuwjqn

Step-by-step explanation:

457 that the answer

Answer:

x = 4

Step-by-step explanation:

6(x + 3) - 3 = 39

6x + 18 - 3 = 39

6x + 15 = 39

-15. -15

6x = 24

/6. /6

x=4

CHECK:

6(4 +3) - 3. = 39

6(7) - 3 = 39

42 - 3 = 39

+3. +3

42 = 42 It is correct

Match the verbal expression with its algebraic expression.
Y- 4
Four less than an unknown value, four more than some number, four times an unknown value, quotient of a variable and four, or some number to the power of four

Answers

Answer:

4 less than an unknown value because if it's 4 less than you are subtracting from the next number stated

Decrease 10kg by 20%​

Answers

Answer:

8Kg

Step-by-step explanation:

20% of 10 = 2

10 - 2 = 8

That's your answer!

A circle has a diameter of 6ft. What is the area of the circle?​

Answers

Very easy!! (i think-_-) A≈28.27 ft2 :))

Find the product and the quotient.
1/3 x 1/6 =
1/6 dividend by 3 =

Answers

Answer:

1. 1/18

2.1/18

Step-by-step explanation:

In order to multiply fractions, you just multiply it straight out. Numerator to numerator, denominator to denominator.

1*1=1

6*3=18

So, the answer is 1/18.

To divide fractions, you flip the second number. If the number is 3, you flip the 3 to the denominator to make 1/3. Then, you multiply using the rule above.

What is the perimeter?
Explain how you got that.

Answers

Answer:

The perimeter is 60in.

Step-by-step explanation:

Perimeter = the outer length

Add all the lengths

8 + 8 + 4 + 8 + 4 + 8 + 4 + 12 + 4

= 60 in

i have my answer i’m just trying to see if it’s right .
a)
b)
c)
d)

Answers

Answer:

Its d

Step-by-step explanation:

A is half B is more than half and C is less than half so it is D

a leaf blower runs on a mixture of gas and oil. the ratio or ounces of gas to ounces of oil is 40 to 1. how many ounces of gas does the leaf blower need for 2 ounces or oil?​

Answers

Answer: 80 ounces

Step-by-step explanation:

40 : 1 = x : 2 where x = ounces of gas.

To get from 1 to 2, we multiplied by 2. So, we must also multiply 40 by 2 = 80.

Answer: The answer is 80 ounces

Step-by-step explanation:

I got it right

Please help thank you

Answers

Answer:read the rules of brainly you can not do this

Step-by-step explanation: bbbwry5rngfryj5wrngfryj5yrngj75ytrnbqfd

Help me please answer thanks

Answers

so the line is gonna cross on 4 on the y-intercept because in the equation that’s the y-intercept and 2 is the slope. the slope is moving up the graph by 2 because 2 is the slope. I hope this makes sense i don’t know how to simplify it more than this sorry

A menu has three meat choices,
three vegetable choices and two desserts

How many ways can you choose your dinner?

Answers

Answer:

18 ways

Step-by-step explanation:

Number of Meat choices = 3

Number of Vegetable choices = 3

Number of Desserts = 2

Number of ways dinner can be chosen :

Number of meat choices * Number of vegetable choices * number of desserts

3 * 3 * 2

= 18

Hence, dinner can be chosen in 18 different choices.

if a, b, and c are different prime numbers and abc=30, what is the sum of a, b, and c ?

Answers

Answer:

B. 10

Step-by-step explanation:

2 x 3 x 5 = 60

2 + 3 + 5 = 10

Hope that helps!

WILL MARK BRAINLIEST! PLEASE HELP ME UNDERSTAND THIS!

SIMPLIFY the expression please! Don't solve it- just simplify it! Please explain too! Ty!

Answers

Answer:

9,065,738

Step-by-step explanation:

(3.8^3)^4

^ = exponents

[tex](3.8^{3} )^{4}[/tex]

Now lets do the parenthesis first

3.8 * 3.8 * 3.8 = 54.872

[tex](54.872)^{4}[/tex]

54.872 * 54.872 * 54.872 * 54.872 = 9,065,737.908494995

We can round that up to

9,065,738

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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