MATHEMATICS MIDDLE SCHOOL

3 to the 10th power = 3 to the 7th power times x to the 3rd power (solve for x)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Rewriting this sentence as an algebraic equation, we get:

3^10 = 3^7 * x^3.

Dividing both sides by 3^7 simplifies the problem:

3^3 = x^3

Here this x corresponds to the 3 in 3^3. Thus, the solution is x = 3.

Answer 2

Answer:

Final answer:

Using exponent rules and logarithms, the given equation can be simplified and solved to find that x equals 3.

Explanation:

The subject of the question falls into the field of Mathematics, specifically exponent rules, which are used in High School level algebra. In the mathematics problem provided ('3 to the 10th power = 3 to the 7th power times x to the 3rd power'), we need to solve for x using the knowledge of exponents.

First, it's helpful to know that when two expressions with the same base (in this case, 3) are set equal to each other, their exponents must also be equal. Since we know that 3 to the 7th power times x to the 3rd power equals 3 to the 10th power, we can break this down further. This leads to the equation 7 + 3log(x) = 10, where 'log' represents the logarithm.

By simplifying the equation, we get 3log(x) = 10-7, so 3log(x) = 3. Therefore, log(x)=3/3, hence log(x)=1. If we apply anti logarithm on both sides, we'll find that x = 3 to the power of 1, so x = 3. In other words, 3 to the 3rd power will equal3 to the 10th power divided by 3 to the 7th power. Hence, the value of x is 3.

Learn more about Exponent Rules here:

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Mr. Hogan's class has 16 students in it. On picture day 5 students stand in the first row, 4 students stand in the second row, 3 students stand in the third row, and 4 students stand in the fourth row. If a random student blinks what is the probability that the student will be in the second or third row?A. 1/4
B. 3/16
C. 5/16
D. 7/16

Answers

d. 7/16
i think its that because 4 plus 3 equals 7 and they asked second or third row and they only have second row up there and they asked for both so i think 7/16.

The answer is D.7/16 due to the fact that there are 4 students in the second row, and 3 students in the third, the ratio would be 7/16.hope i helped.

I need help on my pre-algebra homework, pleaseJoy recently hired a landscaper to do some necessary work. On the final bill, Joy was charged a total of $1096. $460 was listed for parts and the rest for labor. If the hourly rate for labor was $53, how many hours of labor was needed to complete the job?

(A) First, write an equation you can use to answer this question. Use x as your variable.

The equation is

(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.

Answer: The number of labor hours was __________________.

Answers

Equation: 53x + 460 = 1096

Solution 1096 - 460 = 53x

636/53=x

12=x

12 hours

What is deviation from mean

Answers

There's mean deviation and standard deviation.

Mean Deviation: The average distance to the mean.

Standard deviation = Square root of variance

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Standard deviation formula:

$\sigma =\sqrt { \frac { \Sigma { x }^( 2 ) }{ n } -{ \left( \frac { \Sigma x }{ n } \right) }^( 2 ) }$

action of departing from an established course or accepted standard.

Four times a number increased by 3 is the same as twice the number increased by 9? I'm horrible at these

Answers

The question says:
4(x) +3 = 2(x) + 9
so now you need to find x
first you should add -2(x) on both sides of the equation and then add -3 on both sides:
4(x) - 2(x) = 9 - 3
2(x) = 6
now you can divide both sides by 2:
x = 6/2
x = 3 :)))
I hope this is helpful
have a nice day

Four times a number (we are gonna make that be "x") increased by 3 would be 4x+3 it says it is the same as (means it is equal to) twice the number (2x) increased by 9 (+9) so the full equation would be 4x+3=2x+9
You have to solve for the number (x).
4x+3=2x+9
-2x -2x (Have to get the x's to one side)
2x+3=9
-3 -3 (you have to get the numbers on one side too)
2x=6
/2 /2 (to get x alone)
X=3 (the number is 3)

12x + 7< -11
AND 5x -8 >=40
Solve for x please