Solve the equations.
6b–(3–4b)=–8

Answers

Answer 1

Answer:

Answer:

b = -1/2

Step-by-step explanation:

6b - (3 - 4b) = -8

Distribute the negative sign on the left side. It is as if -1 is written there. Be careful with the negative sign. It changes all signs inside the parentheses.

6b - 3 + 4b = -8

Combine like terms on the left side.

10b - 3 = -8

Add 3 to both sides.

10b = -5

Divide both sides by 10.

b = -5/10

Reduce the fraction.

b = -1/2

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225 por 17 procedimiento

Which expression is equivalent to 3/2⋅3/2⋅3/2⋅3/2 ? 3/2⋅4 3/42 3/24 (3/2)4

Answers

$(3)/(2)\cdot(3)/(2)\cdot(3)/(2)\cdot(3)/(2)=\left((3)/(2)\right)^4$

A queen size mattress has a catalog price of $428.99. The trade-discount rate is 20%. What is the net price to the nearest cent?

Answers

The queen size mattress has a catalog price of 428.99 dollars.
NOw, it has a trade discount rate or 20%
=> 20% / 100% = .20
Next is to do the solution:
=> 428.99 * .20 = 85.798 dollars or 85.80
Now, let's find out the net price:
=> 428.99 - 85.80 = 343.19 dollars or 343.2.

June has 42 sports books, 85 mystery books, and 69 nature books. She arranged her books equally on 7 shelves. How many books are on each shelf.

Answers

Answer:

Step-by-step explanation:

We are given that

June has sports books=42

June has mystery books=85

June has nature books=69

Total number of shelves=7

We have to find the number of books are on each shelf.

Total number of books=42+85+69=196

To find the number of books on each shelf we will divide the total number of books by 7.

Number of books on each shelf= $(196)/(7)$

Number of books on each shelf=28

Hence, number of books on each shelf=28

Answer:

Step-by-step explanation:

Add 42, 85, and 69 together and you get 196 but you need to divide that by 7 and you get 28

What are the values of x in the equation x(x-6)=4(x+6)

Answers

x(x-6)=4(x+6)

Multiply out:

x² - 6x = 4x + 24

x² - 6x - 4x - 24 = 0

x² - 10x - 24 = 0

This is a quadratic equation

x² - 10x - 24 = 0 Divide through by 2

Multiply first and last coefficients: 1*-24 = -24

We look for two numbers that multiply to give -24, and add to give -10

Those two numbers are -12 and 2.

Check: -12*2 = -24 2 + -12 = -10

We replace the middle term of -10x in the quadratic expression with 2x -12x

x² - 10x - 24 = 0

x² + 2x - 12x - 24 = 0

x(x + 2) - 12(x + 2) = 0

(x + 2)(x - 12) = 0

x + 2 = 0 or x - 12 = 0

x = 0 -2 x = 0 + 12

x = -2 x = 12

The solutions are x = -2 or 12

x la patrat - 6x = 4x+24<=>x la a doua -10x-24=0
D= 100-4×1(-24)
D=100+96
D=196
X1,2= 10 plus minus 14 : 2 <=>X1=10-14:2=-2 and X2= 10+14:2= 2

Make a formula to find the of the diameter 'a' if the area is 'A'.

Answers

Answer:

$2\sqrt{(A)/(\pi)} = a$

Step-by-step explanation:

I am assuming that you are referring to the diameter and area of a circle. If this is false, then please note that my answer is wrong.

Ok, we know that the area formula for a circle is A = $\pi r^(2)$ , where r is the radius.

We also know that the diameter, a, is two times the radius. Thus, $a = 2r$ , which also means that $(1)/(2) a = r$ . This means that we can substitute the radius (r) with half the diameter ( $(1)/(2)a$ ) in the area formula equation: