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Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3 x minus 5 = negative 2 x + 10? x = 5 –5 = x –15 = –5x –5x = 15

Answers

Answer 1
Answer:

Following are the calculation to the given expression to find the value.

Given:

\to \bold{3x - 5 = -2x + 10}\n\n

To find:

value=?

Solution:

\to \bold{3x - 5 = -2x + 10}\n\n

equalling the similar terms:

\to \bold{3x +2x = 5 + 10}\n\n\to \bold{5x = 15}\n\n

Therefore, the final answer is "\bold{5x = 15}".

Learn more:

brainly.com/question/15661908
Answer 2
Answer:

-15 = -5x shows the variable terms isolated on one side and the constant term isolated on the other side.

Solution:

Given that, we have to find the equation that shows variable terms isolated on one side and the constant terms isolated on the other side for the equation

Given equation is:

3x - 5 = -2x + 10

Let us first solve the given equation

We can solve the equation and find value for "x" by keeping the variable "x" on one side and move the constants to other side

Move 3x from left side to right side

-5 = -2x + 10 - 3x

Move 10 from right side to left side

-5 - 10 = -2x - 3x

Combine the like terms

-15 = -5x

The above equation shows the variable terms isolated on one side and the constant term isolated on the other side.

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The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 35 minutes?
6th grade math, help me please

1. 2x-y≤-6
2. 5x+4y ≥20
​

Answers

Answer

2x-y <or =-6

2x<or=-6+y

divide both sides by 2

x<or=1/2y+3

5(1/2y+3)+4y>or=20

5/2y+15+4y>or=20

5/2y+4y>or=20-15

13/2y>or=5

divide both sides by 2/13

y>or=10/13

2x-10/13<or=-6

2x<or=-6+10/13

2x<or=-68/13

divide both sides by 2

x< or =-34/13

What is (6x10^6)(4x10^-1) ?

Answers

Answer:

Step-by-step explanation:

Multiply the 6 and 4 together. 6*4 = 24

The next part is a bit tricky. Add the powers on the base 10. Keep the base 10.

10^(6 - 1) = 10^5

Now put the two parts together. 24 * 10^5

The number in front of the 10 must be between 1 and 10.

So 24 can be written as 24 = 2.4 * 10^1

2.4 * 10^1 * 10^5 = 2.4 * 10^(5 + 1) = 2.4 * 10^6

Solve for x Write both solutions, seperated by a comma 4x^2+5x+1=0

Answers

Answer:

-1/4 , -1

Step-by-step explanation:

I solved it using Factorization method and Quadratic Equation .

Factorization Method

4x^2+5x+1=0\nWrite +5x- as- a -difference(write+5x-using- two- numbers -in-which-their-sum-is ; 5-and-their-product-is ; 4)\n4x^(2) +4x+1x+1=0\nFactorize-out-common-terms\n4x(x+1)+1(x+1)=0\nFactor-out-(x+1)\n(4x+1)(x+1)=0\n4x+1 =0 \nx+1=0\n4x=0-1\nx =0-1\n4x =-1\nx =-1\n4x=-(1)/(4) \n\nAnswer = -1/4 , -1

Quadratic Equation

4x^2+5x+1=0\na = 4\nb =5\nc = 1\n\nx =(-b\±√(b^2 -4ac) )/(2a) \n\nx = (-(5)\±√((5)^2-4(4)(1)) )/(2(4)) \n\nx = (-5\±√(25-16) )/(8) \n\nx = (-5\±√(9) )/(8) \n\nx = (-5\±3)/(8) \n\nx =(-5+3)/(8) \n\nx = (-5-3)/(8) \n\nx = (-2)/(8) \n\nx = (-8)/(8) \n\nx = -(1)/(4) \nx=-1

A principle of $4570 is placed into account that earns 4.5 interest if the interest is compounded annually how much money will be in the account

Answers

Answer:

205.65 interest

Step-by-step explanation:

Answer:

Option D on Edg.

Step-by-step explanation: I took the test and the correct option is $5695.05.

The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12. The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is:

Answers

The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is 0.0668.

Calculation of the probability:

Since The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12.

Here  we need to find out the z score

= 78-75/ 12/ 36

= 1.5

Here we considered normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

So,  the average is less or equal to 78.

Now

Subtract from 1 to get the complement.

So,

P(x>78)=1-0.9332

=0.0668

Learn more about probability here: brainly.com/question/24613748

Answer:

0.0668

Step-by-step explanation:

Assuming the distribution is normally distributed with a mean of $75,

with a standard deviation of $12.

We can find the z-score of 78 using;

z=(x-\mu)/((\sigma)/(√(n) ) )

\implies z=(78-75)/((12)/(36) ) =1.5

Using our normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

This is the area corresponding to the probability that, the average is less or equal to 78.

Subtract from 1 to get the complement.

P(x>78)=1-0.9332=0.0668

What is the solution of the equation (x - 5)2 +3(x-5)+9 = 0? Use u substitution and the quadratic formula to solve.​

Answers

Answer:

x= (7+3i√(3) )/(2) and (7-3i√(3) )/(2)

Step-by-step explanation:

(x - 5)^(2) +3(x-5)+9

(x - 5)^(2)= x2−10x+25

3(x-5)= 3x-15

x^2-10x+25+3x-15+9

x^2-7x+19=0

a=1 b=-7 c=19

use quadratic formula

\frac{-b+\sqrt{b^(2) -4ac} }{2a}

\frac{-(-7)+\sqrt{-7^(2)-4(1)(19) } }{2}

\frac{7+\sqrt{49{}-4(19) } }{2}

\frac{7+\sqrt{49{}-76 } }{2}

\frac{7+\sqrt{-27{} } }{2}

√(-27) =3i√(3)

(7+3i√(3) )/(2)
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