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3 years ago

Simplify the expression 3(5x+8)

Mathematics

2 answers:

Tcecarenko [31]3 years ago

8 0

Answer:

15x + 24

Step-by-step explanation:

Apply the Distributive Property of Multiplication. Multiply each of the two terms inside parentheses by 3:

3(5x + 8) = 15x + 24

viva [34]3 years ago

3 0

Answer:

Solution given:

3(5x+8)

distribute

15x+8*3

15x+24 is a required answer.

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3 years ago

Use geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27

Darya [45]

Answer:

Step-by-step explanation:

First, use the equation for geometric mean; an=a1r^n-1

*where is an is the number at an n term, r is the ratio and a1 is the first number of the sequence.*

12 = a1 r^5

27 = a1r^7

From the equations above,

a1 = 128/81

r = 3/2

Therefore, the 7th term is:

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3 years ago

6= square root of x+ 1

blondinia [14]

I'm going to answer this as a process going down:
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3 years ago

a train travels 288km at a uniform speed.if the speed has been 4km per hour more it would have taken one hour less for the same

Lostsunrise [7]

Given:

A train travels 288 km at a uniform speed.

If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

To find:

The initial speed of the train.

Solution:

Let x km/h be the initial speed on the train.

New speed of train = (x+4) km/h

We know that,

$Time=\dfrac{Distance}{Speed}$

Time taken by the train initially to cover 288 km is $\dfrac{288}{x}$ hours.

New time taken by the train to cover 288 km is $\dfrac{288}{x+4}$ hours.

It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

$\dfrac{288}{x}-\dfrac{288}{x+4}=1$

$\dfrac{288(x+4)-288x}{x(x+4)}=1$

$288x+1152-288x=x^2+4x$

$1152=x^2+4x$

$0=x^2+4x-1152$

Splitting the middle term, we get

$x^2+36x-32x-1152=0$

$x(x+36)-32(x+36)=0$

$(x+36)(x-32)=0$

$x=-36,32$

We know that the speed cannot be negative. So, the only possible value of x is 32.

Therefore, the speed of the train is 32 km/h.

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3 years ago