MATHEMATICS HIGH SCHOOL

Solve the equation. Two-thirds x = negative one-half x + 5 What is the first step to isolate the variable term on one side of the equation? What is the second step to solve for x?

Answers

Answer 1

Answer:

Answer:

add 1/2x to both sides

multiply both sides by 6/7

Answer 2

Answer:

Answer: Add 1/2x to both sides.

Multiply both sides by 6/7.

Step-by-step explanation: credit to the person above or below me

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What is the length of s?

Answers

Answer:

20.78460969 = s

Step-by-step explanation:

tan theta = opposite side / adjacent side

tan 60 = s /12

Multiply each side by 12

12 tan 60 = s /12 *12

20.78460969 = s

What is the value of the system determinant for the following system of equations? 6x + y = 4 5x + y - 7 = 0

Answers

Answer: The value of the determinant is 1.

Step-by-step explanation: The given system of linear equation is as follows:

$6x+y=4~~~~~~~~~~~~~~~~(i)\n\n5x-y-7=0\n\n\Rightarrow 5x-y=7~~~~~~~~~~~(ii)$

The first column of the determinant gives the coefficients of 'x' and the second column gives the coefficients of y in the two equations.

Therefore, the determinant for the given system is

$D=\begin{vmatrix} 6& 1\n 5& 1\end{vmatrix}=6* 1-5* 1=6-5=1.$

Thus, the required value of the determinant is 1.

A 3 and a half gallon gas can contains 9/10 gallon.How much more gas can be poured in?

Answers

2 and 3/5 gallons of gas can be poured in

The sum of two numbers is 29. If thelarger number is 2 less than three times
the smaller number, what is the smaller
number.

Answers

The smaller number is 7.75.

What is an Equation?

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

The system of equations are used to solve complex problems.

Let the smaller number is x.

The larger number is 2 less than three times the smaller number

Then the larger number is 3x -2

The sum of the two numbers is 29

The sum is the output of the mathematical operation, Addition.

The equation formed is :

3x -2 + x = 29

Grouping the variables and the constants

4x = 31

Dividing both side of the equation by 4

x = 7.75

The value of the smaller number is obtained.

To know more about Equation

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Answer: 7

Step-by-step explanation:

Which choice is equivalent to the expression below?2^8.24

A. 2^8+2^2/10+2^4/100
B.2^8*2^2/10*2^4/100
C. 2^8*2^24/10
D.2^8+2/10+4/10

Answers

Answer:

$2^(8)\cdot 2^{(2)/(10)}\cdot 2^{(4)/(100)}$

B is correct

Step-by-step explanation:

Given: $2^(8.24)$

Using exponent law,

$x^(a+b)=x^a\cdot x^b$

Expand exponent 8.24

Position of each digit:

8 ⇒ It is at tens place (1 x 8)

2 ⇒ It is at tenth place (1/10 x 2)

4 ⇒ It is at hundredth place (1/100 x 4 )

$8.24=8+.2+.04$

$8.24=8+(2)/(10)+(4)/(100)$

$2^(8.24)=2^{8+(2)/(10)+(4)/(100)}$

Using exponent law

$2^(8.24)=2^(8)\cdot 2^{(2)/(10)}\cdot 2^{(4)/(100)}$

Hence, The equivalent expressionis $2^(8)\cdot 2^{(2)/(10)}\cdot 2^{(4)/(100)}$

B is your answer because if you check each one in the calculator B is the same as the expression and also 2^8 makes up the first part and the second half makes up the .24

Convert the scale map to unit rate. For every 3/10 of an inch that equals 7/8 mile. How many inches represents one mile?

Answers

3/10 in
1 in =(1/12)ft
1 ft =(1/5280) mi

3/10 in=3/10*(1/12)*(1/5280) mi

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