which equation can be used to determine the value of x?​

Complete Question

The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 5th term of the same GP is 324 ,find common ratio

Answer:

3

Step-by-step explanation:

The formula for Number of term of a GP = ar^n-1

The sum of 3rd and 4th terms of GP is 108

ar² + ar³ = 108... Equation 1

ar²(1+ r) = 108 ..... Equation 1

The sum of 4th and 5th term of the same GP is 324 ,

ar³ + ar⁴= 324... Equation 2

ar³ (1 + r) = 324..... Equation 2

find common ratio

ar²(1+ r) = 108 ..... Equation 1

ar³ (1 + r) = 324..... Equation 2

Solving for r

ar²(1+ r)/ar³ (1 + r) = 108/324

1/r = 1/3

r = 3

Hence, Common ratio = 3

Answer:

A = 14 mm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 14 and h = 2 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 2 = 7 × 2 = 14 mm²

Answer:

720

Step-by-step explanation:

Out of 80 students the no. of students who sign up=48

So, out of 1200 students 48×1200÷80=720 students sign up.

Answer:

Canada, Mexico, America

Step-by-step explanation:

The cost to bowl a game is $2.5.

Two or more expressions with an Equal sign is called as Equation.

Let g  represent the cost of bowling a game and s represent the cost of renting shoes.

Bill bowled 3 games at a bowling alley and rented shoes, spending a total of $9.00

3g+s=9..(1)

Leann bowled 5 games at a the bowling alley and rented shoes, spending a total of $14.00.

5g+s=14..(2)

Subtract equation 2 from 1

3g+s-5g-s=9-14

-2g=-5

Divide both sides by 2

g=2.5

Hence, the cost to bowl a game is $2.5.

To learn more on Equation:

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Answer:

14x+1

Step-by-step explanation:

you combined like terms

8x and 6x are like terms so 8x+6x=14x

8 and (-7) are like terms so 8+(-7)=1

Answer: 14x+1

Step-by-step explanation:

Answer:

2.25%

Step-by-step explanation:

I = Prt

Given:

I = 540

P = 8000

t = 3

Solve for r:

I = Prt

r = I/(Pt)

r = 540/(8000 * 3)

r = 540/24000

r = 0.0225

Rate in percentage form:

0.0225 * 100 = 2.25%

Answer:

$42 dollars is the cost per dozen.

Step-by-step explanation:

3.50 is the cost for ONE muffin and we know that 12 goes into a dozen. Simply multiple 3.50 by 12 (3.50 X 12) to get your answer 42.

Answer:

42 dollars

Step-by-step explanation:

A dozen is equal to 12. A muffin is equal to 3.5 dollars each. Therefore, you have to multiply them together. 12 times 3.5 is equal to 42. Therefore, it is 42 dollars a dozen.

If this helps please mark as brainliest

Answer:

15

Step-by-step explanation:

You know that it takes 3 mins for 45 sit-ups so then you wanna find how much for 1 minute. It shows 3 mins which is 3 times as much as 1 minute. There, 3/3 = 1. then you have to do it with the sit-ups too. so 45/3 = 15

Answer:

a

Step-by-step explanation:

Answer:

dunno

Step-by-step explanation:

Answer:

The difference is 8.75

Step-by-step explanation:

Plot the points or 7.25+1.5=8.75

Answer:

m<Y = 68°

Step-by-step explanation:

A tangent drawn to a circle makes a 90° angle with the radius that intersects it at the point of tangency. That means that m<X = 90°.

The sum of the measures of the angles of a triangle is 180°.

m<X + m<Y + m<Z = 180

90 + m<Y + 22 = 180

m<Y + 112 = 180

m<Y = 180 - 112

m<Y = 68

Answer:

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

please give me brainliest

Answer:

3,5

Step-by-step explanation:

axis

Answer:

c is the right answer of this

Answer:

The first blank: 65

The second blank: 24

The third blank: 16

The last blank is: 41

Step-by-step explanation:

The Phthagorean theorm is as follows: c^2=a^2+b^2

Where a and b are the legs of the triangle and c is the hypotenuse

To fill in the first blank space you need to find c, and it's given a and b: a=25 b=60

You substitute the known values into the equation of the Pythagorean theorm: c^2=25^2+60^2

And solve to find c

c^2=4225

c=

[tex] \sqrt{4225} [/tex]

c=65

The answer for the first blank

For the second blank you given a and c: a=7 c=25

Substitute the value into Pythagorean theorm:c^2=a^2+b^2

25^5=7^2+b^2

625=49+b^2

To solve b you got to subtract 49 to both sides

625-49=b^2

576=b^2

[tex] \sqrt{576} = b[/tex]

24=b

Which is your answer

For the third blank its given b and c: b=30 c=34

Substitute the value into Pythagorean theorm

c^2=a^2+b^2

34^2=a^2+30^2

Solve the exponential terms: 1156=a^2+900

Then you solve the variable that you need to find. In this case, you got to solve a^2 by subtracting 900 of both sides of the equation:1156-900=a^2

256=a^2

[tex] \sqrt{256 = a} [/tex]

16=a which is your answer

Finally your last blank,its given the values and b

a=9

b=40

Substitute the value into Pythagorean theorm

c^2=9^2+40^2

And solve for c

c^2=81+1600

c^2=1681

[tex]c = \sqrt{1681} [/tex]

Which gives you c=41 which is your answer

Let me know if this helps

Answer:

A, The function has exactly one zero at x = -4

Step-by-step explanation:

As you can from the graph, the graph ONLY touches y = 0 at ONLY x = -4.

Answer:

I believe that would be 12 because

Step-by-step explanation:

if 2x - 7y = 10

then if you were to add two to that it would be 12

Answer:

Step-by-step explanation:

x^2 - 3x - 2 + 2x - 1

x^2 - x - 3

answer is C

Answer:

do you mean 2x5=10 =  10x10x10= 1,000

Step-by-step explanation:

Answer:

The answer should be C

Step-by-step explanation:

Answer

Answer:

$140

Step-by-step explanation:

5 + 7 = 12

240/12 = 20

20 x 7 = $140

Hope this helps!!

Question:

1 + 1 = ? help now please asap!

Answer:

1 + 1 = 2

hope this helps :)

Answer: The answer is x= 2.25

Step-by-step explanation:

Answer:

x= 2.25

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.