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2 years ago

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)? 3 4 5 9

Mathematics

2 answers:

Tamiku [17]2 years ago

5 0

Answer: The correct option is (B) 4.

Step-by-step explanation: We are given to find the value of x in the following equation :

$1.5(x+4)-3=4.5(x-2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of x, we need to solve equation (i) for x.

The solution of equation (i) is s follows :

$1.5(x+4)-3=4.5(x-2)\\\\\Rightarrow 1.5x+6-3=4.5x-9\\\\\Rightarrow 1.5x+3=4.5x-9\\\\\Rightarrow 4.5x-1.5x=3+9\\\\\Rightarrow 3x=12\\\\\Rightarrow x=\dfrac{12}{3}\\\\\Rightarrow x=4.$

Thus, the required value of x is 4.

Option (B) is CORRECT.

Arisa [49]2 years ago

3 0

1.5(x + 4) - 3 = 3.5(x - 2)

We need to use the distributive property to simplify this.

1.5x + 6 - 3 = 3.5x - 7

Subtract 1.5x from both sides

6 - 3 = 2x - 7

Simplify left side

3 = 2x - 7

Add 7 to both sides

10 = 2x

Divide both sides by 2

x = 5

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1 year ago

For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6

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Answer:

A. 180

Step-by-step explanation:

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2 years ago

According to Euclid’s second postulate, how far can the line segment shown be extended in either direction?

Vilka [71]

Answer:

b. not at all

Step-by-step explanation:

• a line goes on forevee in every direction

• a ray continues forever in one direction only

• a segment has a set length and will not extend

8 0

2 years ago

Read 2 more answers

an employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $2

faltersainse [42]

Answer:

The amount that should be in the account after 15 years is $95,321.85

Step-by-step explanation:

According to the given data, we have the following:

monthly amount of $220=R

interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017

t=15years×12=180 months

In order to calculate how much should be in the account after 15 years, we would have to use the following formula:

Ap=R(1-(1+i)∧-t)

Ap=220(1-(1+0.0017)∧-180)

0.0017

Ap=162,04

0.0017

Ap=$95,321.85

The amount that should be in the account after 15 years is $95,321.85

6 0

2 years ago

Find the volume of a cone with a base radius of 3 cm and a height of 9 cm

katovenus [111]

The volume of a cone is 84.78 cm

Step-by-step explanation:

Given:

radius = 3 cm and

height = 9 cm

To Find:

The Volume of a Cone

Formula:

The Formula for the volume of a cone is

V=πr2 *h/3

Solution:

V=πr2 *h/3

π value is 3.14

V= 3.14*(3)^2*9/3

V=3.14*9*3

V= 84.78 cm

Therefore the volume is 84.78 cm.

5 0

2 years ago