Simplify using exponents: B12/B5

Answer:

[tex]x=\frac{3j-n}{4k+7m}[/tex]

Step-by-step explanation:

We have the expression [tex]3j=4kx+7mx+n[/tex] and we have to solve for x, this means that we have to clear x.

Then first we are going to subtract n in both sides of the equation,

[tex]3j=4kx+7mx+n\\3j-n=4kx+7mx+n-n\\3j-n=4kx+7mx[/tex]

Now in the right side we can apply common factor x.

[tex]3j-n=(4k)x+(7m)x\\3j-n=x(4k+7m)[/tex]

For the last step divide both sides of the equation in (4k+7m),

[tex]3j-n=x(4k+7m)\\\\\frac{3j-n}{4k+7m}=\frac{x(4k+7m)}{(4k+7m)} \\\\\frac{3j-n}{4k+7m}=x[/tex]

Then,

[tex]x=\frac{3j-n}{4k+7m}[/tex]

The square of any number is simply that number multiplied by itself. Thus the square of 410 is 410 multiplied by 410, which equals 168100.

The concept being asked here is the squaring of exponentials. 'To square' a number encompasses multiplying that number by itself. Hence 41 to the second power, or 41 squared, equals 1681 as the question states. By the same logic, to find the square of 410, we would multiply 410 by itself. That calculation will give the result as 168100. The square of 410 is 410 multiplied by 410, which equals 168100. Thus, the square of 410 equals 168,100.

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Answer:

25 mins

Step-by-step explanation:

The student can check the accuracy of their answer by substitifying their solution back into the equation. If both sides of the equation are equal after the substitution, then the solution is correct and 4 * 3 + 6 does in fact equal 18 in this case.

The subject of your question is to solve a simple equation and you want to check your answer. The equation you're talking about can be expressed as 4x + 6 = 18, where x is the number you're trying to find. You said you believe x = 3, and we can check that by substituting 3 for x in the equation and seeing if both sides match.

On the left side of the equation, 4x + 6 would become 4 * 3 + 6, which equals 12 + 6 = 18. The right side of the equation is also 18, so your answer of x = 3 is correct!

Substituting your answer back into the equation is a solid strategy to check your answers in mathematics.

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Final answer:

The mass of the 5.50 cm³ cylinder of a substance with a density of 4.20 g/cm³ is 23.10 g.

Explanation:

To calculate the mass of the cylinder, you can use the formula: Mass = Density x Volume.

Given that the density of the substance is 4.20 g/cm³ and the volume of the cylinder is 5.50 cm³, you can substitute these values into the formula to find the mass.

Mass = 4.20 g/cm³ x 5.50 cm³ = 23.10 g.

The mass of the cylinder with a volume of 5.50 cm³ and a density of 4.20 g/cm³ is calculated using the formula Mass = Density × Volume, which results in a mass of 23.1 grams.

To calculate the mass of a cylinder of a substance when the volume and density are known, use the formula:

Mass = Density × Volume

Given that the density of the substance is 4.20 g/cm³ and the volume of the cylinder is 5.50 cm³, we can substitute these values into the formula:

Mass = 4.20 g/cm³ × 5.50 cm³

Mass = 23.1 g

The mass of the substance is 23.1 grams. It's important to note that the result should be reported with the appropriate number of significant figures. The original volume was given to three significant figures, so the final answer should also reflect three significant figures.

Answer: The system of equations have many solutions and the correct options are A,B and D.

Explanation:

The given equations are,

[tex]2x+y=5[/tex]     ..... (1)

[tex]3y=15-6x[/tex]  .... (2)

Simplify the second equation.

[tex]3y+6x=15[/tex]

[tex]3(y+2x)=15[/tex]

Divide both sides by 3.

[tex]2x+y=5[/tex]

It is same as equation (1). Since equation (1) and (2) are same, therefore all the points lies on the line or which satisfies the equation are the solution of the given system of equations.

Test the points whether the point lies on the line or not.

Check for point A(6,-7).

[tex]2(6)+(-7)=5[/tex]

[tex]5=5[/tex]

LHS and RHS are equal, therefore the point A is the solution of the system of equations.

Check for point B(2,1).

[tex]2(2)+(1)=5[/tex]

[tex]5=5[/tex]

LHS and RHS are equal, therefore the point B is the solution of the system of equations.

Check for point C(-2,-9).

[tex]2(-2)+(-9)=5[/tex]

[tex]-13=5[/tex]

LHS and RHS are not equal, therefore the point C is not the solution of the system of equations.

Check for point D(-4,13).

[tex]2(-4)+(13)=5[/tex]

[tex]5=5[/tex]

LHS and RHS are equal, therefore the point D is the solution of the system of equations.

Therefore the options A,B and D are correct.

The points (6, –7), (2, 1), and (–4, 13) satisfies the equation and hence, will be the solution of the equation. The correct solution for this system is A, B, and D.

Given:

The given system of linear equations is,

[tex]2x + y = 5\\3y = 15 - 6x[/tex]

Equate the y coefficient of the equations and write them as,

[tex]6x + 3y = 15\\6x+3y = 15[/tex]

The given system of equation is the same equation and hence, will have infinite solutions.

Now, the solution of equation from the given options can be found by putting each point in the equation and checking for its satisfaction of the equation.

So, try All the points given. Point A(6,-7) Where x=6, y=-7

Put in equation.

[tex]-7+2(6)=5\\-7+12=5\\5=5[/tex]

Hence LHS=RHS

Point B(2,1), Where x=2, y=1

Put in equation.

[tex]1+2(2)=5\\1+4=5\\5= 5[/tex]

Hence, LHS= RHS

Point C(-2,-9), Where x=-2, y=-9

Put in equation.

[tex]-9+2(-2)=5\\-9-4=5\\-13\neq 5[/tex]

Hence LHS[tex]\neq[/tex]RHS

Point D(-4,13)

Where x=-4, y=13

Put in equation.

[tex]13+2(-4)=5\\13-8=5\\5=5[/tex]

Hence, LHS= RHS

Therefore, points (6, –7), (2, 1), and (–4, 13) satisfies the equation and hence. will be the solution of the equation.

Learn more about coordinate geometry here

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Answer:

The answer is 2.4%

Step-by-step explanation:

To determine which package is a better deal, we need to compare the price per bar of soap for each package. The second package is the better deal as it has a lower price per bar of soap.

The question is asking about the comparison of two different packages of soap based on their price and quantity. To determine which package is a better deal, we need to calculate the price per bar of soap for each package.

For the first package, we have 12 bars of soap for $10.00. To find the price per bar, we divide the total cost by the number of bars: $10.00 ÷ 12 = $0.83 per bar.

For the second package, we have 5 bars of soap for $4.00. Again, we divide the total cost by the number of bars: $4.00 ÷ 5 = $0.80 per bar.

Comparing the prices per bar, we can see that the second package is cheaper, so it is the better deal.

To calculate the amount of energy produced by burning 46.1 mL of gasoline, you can use the formula: Amount of energy = (Density of gasoline) x (Volume of gasoline) x (Energy produced per gram). Plug in the values and include the correct unit symbols (g/mL, mL, kJ) in your answer.

To calculate the amount of energy produced by burning 46.1 mL of gasoline, you can use the following formula:

Amount of energy = (Density of gasoline) x (Volume of gasoline) x (Energy produced per gram)

Plugging in the values:

Amount of energy = (0.77 g/mL) x (46.1 mL) x (45.0 kJ/g)

This gives us the math expression:

Amount of energy = 0.77 x 46.1 x 45.0 kJ

Make sure to include the correct unit symbols (g/mL, mL, kJ) in your answer.

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Answer:

the answer is 22

Step-by-step explanation:

because -3 is squared and that equals 6 and 6 times 5 equal 30 minus-8 equal 22

If product of x and 5.2 is 104 then the value of x is 20.

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

Given that  product of x and 5.2 is 104

We have to find the value of x

product of x and 5.2 is 104 can be mathematically written as below

5.2x=104

To find value of x

divide both sides by 5.2

x=104/5.2

x=20

Hence, if product of x and 5.2 is 104 then the value of x is 20.

To learn more on Equation:

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Applying Place values, the ways to write the number shown by the model are 40+6, 64, and 6 tens 4 ones.

Learn more about Place values and Addition here:

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