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KatRina [158]
2 years ago
10

If 5,x,y,40 are in geometrical progression, find x and y respectively.

Mathematics
1 answer:
Andrei [34K]2 years ago
5 0

Answer:

x = 10, y = 20

Step-by-step explanation:

Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.

z³ = 8 → z = 2

Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!

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Simplify the following<br>(4x + 3) (5x + 2) ​
lidiya [134]

Answer:

20x^2+23x+6

Step-by-step explanation:

(4x+3)(5x+2)

(4x)(5x)+2(4x)+(5x)3+3(2)

20x^2+8x+15x+6

20x^2+23x+6

Hope that helps :)

8 0
2 years ago
Read 2 more answers
An amusement park charges admission plus a fee for each ride. Admission plus 2 rides costs $10. Admission plus five rides costs
LenaWriter [7]

Answer:

The charge for admission is $6 and the charge for each ride is $2

Step-by-step explanation:

Let

x ----> the charge for admission

y ----> the charge for each ride

we have that

x+2y=10 -----> equation A

x+5y=16 -----> equation B

Solve the system by elimination

Subtract equation B from equation A

x+2y=10\\-(x+5y)=-16\\---------\\2y-5y=10-16\\-3y=-6\\y=2

Find the value of x

substitute the value of y in any equation

x+2(2)=10

x+4=10

x=10-4

x=6

therefore

The charge for admission is $6 and the charge for each ride is $2

8 0
2 years ago
6. Find the area of the triangle below.<br> Be sure to include the correct unit in your answer.
snow_tiger [21]

Answer:

512

Step-by-step explanation: area of triangle= 1/2*base*height

4 0
3 years ago
Read 2 more answers
Given m||n, find the value of x.<br> +<br> (5x+16)<br> mm<br> (6x-7)
kupik [55]

Based on the definition of congruent angles, the value of x is: 23.

<h3>What are Congruent Angles?</h3>

Congruent angles have the same measure. Examples of angles that are congruent are:

  • Alternate interior angles
  • Alternate exterior angles
  • Corresponding angles

Thus:

(5x + 16) = (6x - 7) -- congruent angles

Combine like terms

5x - 6x = -16 - 7

-x = -23

x = 23

Therefore, based on the definition of congruent angles, the value of x is: 23.

Learn more about congruent angles on:

brainly.com/question/1675117

5 0
2 years ago
A cube's side measures 6xy inches whet is the volume
liubo4ka [24]
For a cube, V = s^3.

The volume is the cube of the side length.

V = s^3

V = (6x^6y^8)^3

To raise a product to an exponent, raise each factor to the exponent.

V = (6^3) \times (x^6)^3 \times (y^8)^3

To raise a power to a power, multiply powers.

V = 216x^{18}y^{24}
8 0
3 years ago
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