(8.166×10^8)×(1.515×10^9)

The simplified value of the given expression 3(4x+6)+7x, is 19x+18

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Mathematical expressions have only numbers and operators, while algebraic expressions have both numbers and variables in terms, separated by operators in between.

For example, 4m + 5 is an expression where 4m and 5 are the terms and m is the variable of the given expression separated by the arithmetic sign +.

Given that, is an expression 3(4x+6)+7x, we need to simplify it,

3(4x+6)+7x

By the Distributive property, multiplying by 3,

3(4x+6)+7x

= 12x+18+7x

Rearranging the terms,

= 12x+7x+18

Adding the like terms,

= 19x+18

Hence, the simplified value of the given expression 3(4x+6)+7x, is 19x+18

Learn more about expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

its been 3 years but the answer is b

Step-by-step explanation:

Final answer:

The problem is solved by creating an equation based on the given properties and solving for x, which represents the smaller even integer. After solving, we find that the two consecutive even integers in question are 8 and 10.

Explanation:

Let the smaller even integer be denoted as x. Consequently, the larger consecutive even integer will be x + 2, since even integers are two units apart.

The problem states that when we add the smaller integer to three times the larger integer (x + 3(x + 2)), the result is two less than five times the smaller integer (5x - 2). This gives us an equation to solve:

x + 3(x + 2) = 5x - 2

Expanding the left side of the equation:

x + 3x + 6 = 5x - 2

Combining like terms:

4x + 6 = 5x - 2

Now, subtract 4x from both sides:

6 = x - 2

Finally, add 2 to both sides to find the value of x:

x = 8

Therefore, the smaller integer is 8, and the larger consecutive even integer is 10.

So, the two consecutive even integers are 8 and 10.

Final answer:

To find the two consecutive even integers, assign variables x and x + 2. Set up and solve the equation x + 3(x + 2) = 5x - 2 to find x = 8. The consecutive even integers are 8 and 10.

Explanation:

To find the two consecutive even integers, let's assign variables to represent the integers. Let the smaller integer be x and the larger integer be x + 2 (since they are consecutive even integers). The problem states that when the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer.

So, we can set up the equation: x + 3(x + 2) = 5x - 2. Simplify and solve for x:

Therefore, the smaller integer is 8 and the larger integer is 8 + 2 = 10. The two consecutive even integers are 8 and 10.

https://brainly.com/question/26438608

#SPJ11

Answer:

The [tex](goh)(9)=5[/tex]

Step-by-step explanation:

We need to find out the [tex](goh)(9)[/tex]

Given:- [tex]g(x)=2x-1[/tex] and [tex]h(x)=\sqrt{x}[/tex]

First we need to find out the composition of (gof)(x)

Replace x in function g(x) with h(x) as;

[tex](goh)(x)=2(h(x))-1[/tex]

[tex](goh)(x)=2(\sqrt{x})-1[/tex]

Now put x=9 , in above to get the [tex](goh)(9)[/tex]

[tex](goh)(9)=2(\sqrt{9})-1[/tex]

[tex](goh)(9)=2(3)-1[/tex]

[tex](goh)(9)=6-1[/tex]

[tex](goh)(9)=5[/tex]

Therefore, [tex](goh)(9)=5[/tex]

Answer:

It takes 8 minutes and 20 seconds for the light to travel this distance

Step-by-step explanation:

Velocity is calculated as:

V= d/t (1)

Where d is distance and t is time. As we want to find time t we must simplify (1) for t

t= d/V (2)

We replacethe values given:

t=d/V=1.5*10^8/3.0*10^5=5*10^3 = 500 seconds

As there are 60 seconds in a minute we find

minutes = 500/60 = 50/6 = 25/3 = 8 2/3 or 8 minutes 20 seconds

C. An even number plus 3 is always odd.

Prime number: A number that can only be divided by 1 and itself. For example 7, 11, etc

Odd number: Any number that cannot be divided by 2. For example 3, 5, 7, etc

Even number: Any number than can be divided by 2. For example: 4, 6, 8, etc

If we add 2,4,6 or 1000 to 3, the resultant will be always odd. If we add 2 to 3, we will get 5 which is an odd number. If we add 8 to 3, you will get 11 which is an odd number.

So, the conjecture is :

An even number plus 3 is always odd.

Therefore the correct option is (c).

Learn more:https://brainly.com/question/19564735

Subtract the starting population from the increased population:

1/3 -2/7

Rewrite the fractions to have a common denominator:

7/21 - 6/21 = 1/21 billion increase.

Answer:

6.95 gallons/month

Step-by-step explanation:

We are given that In 8 months, 55.6 gallons were used

Amount used in 8 months = 55.6 gallons

We are supposed to find amount used per month i.e. unit rate

So, Amount used in 8 months = 55.6 gallons

Amount used in 1 month = [tex]\frac{55.6}{8}[/tex] gallons

Amount used in 1 month = [tex]6.95[/tex] gallons

So, 6.95 gallons were used in 1 month

Hence the unit rate is 6.95 gallons/month

Answer:

D

Step-by-step explanation:

took the k12 test it 0.23

volume = length x width x depth

50cm = 0.5 m

7.35 = 4.2 x 0.5 x X

7.35 = 2.1 x  X

x = 7.35 / 2.1

x = 3.5

width = 3.5 meters

Answer: 3.5 meters

Step-by-step explanation:

Given : The volume of a new pond = [tex]7.35\ m^3[/tex]

The length of a new pond = 4.2 m

The depth of the pond = 50 cm =0.5 m

Let the width of the pond be 'w'.

The volume of cuboid is given by :_

[tex]V=l\times h\times w\\\\\Rightarrow\ 7.35=4.2\times0.5\times w\\\\\Rightarrow\ w=\dfrac{7.35}{0.5\times4.2}\Rightarrow\ w=3.5[/tex]

Hence, the width of the pond = 3.5 meters