How do you solve the equation in detail :: 12(2w-3)=6w

Answers

Answer 1
Answer:

The solution to the given equation 12(2w - 3) = 6w is w = 2, which is determined by algebraic operations.

The equation is given as follows:

12(2w - 3) = 6w

Distribute the 12 to both terms inside the parentheses:

24w - 36 = 6w

Move all the terms involving w to one side of the equation by subtracting 6w from the left side:

24w - 6w = 36

Simplifying the left side:

18w = 36

Divide both sides 2 to get,

w = 2

Therefore, the solution to the equation 12(2w - 3) = 6w is w = 2.

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Answer 2
Answer: 12(w-3)=6w
Distrubute the 12
12(2w)-12(3)=6w
24w-36=6w
Subract 24w from both sides
-36=6w-24w
-36=-18w
Divide both sides by -18
w=2

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You bought one skirt at $18.27, two shirts at $15.78, and a pair of shoes at $34.50. If the tax rate is 7%, what is the total cost of your purchase?Question 4 options:



$84.23



$90.23



$49.83



$69.00



Jack bought two sweaters for $17.99 and a pair slacks for $25.50. Including a 5 1/2% tax, how much was his total purchase?

Question 5 options:



$64.86



$61.48



$52.99



$28.98

Answers

Answer:

(A) $90.23

(B) $64.86                

Step-by-step explanation:

(A) Given, The cost of one skirt = $18.27

The cost of one shirt = $15.78, Then cost of two shirt = 2 × $15.78 =$ 31.56

and The cost of pair of shoes = $34.50

Thus, I have done total purchase of $18.27 + $31.56 + $34.50 = $84.33.

And, paying the tax of 7%

The total cost I spend = $84.33 × (100 + 7)% = $90.23

(B) Given, The cost of one sweater = $17.99, Then cost of two sweater = 2 × $18.27 =$ 35.98

The cost of one slack = $25.50

Thus, I have done total purchase of $35.98 + $25.50 = $61.48.

And, paying the tax of 5.5%

The total cost I spend = $61.48 × (100 + 5.5)% = $64.86

The answers to number 1 &2
1. $90.23
2. $64.86

Using a directrix of y = 2 and a focus of (3, −4), what quadratic function is created?

Answers

Hello,
as the directrice is y=2 and the focus (3,-4), the vertex is (3,-1)

y=a(x-3)²-1
But I can't go any further... (with a<0)

Brad can make 4 key chains in an hour. Velma can make only 3 key chains in an hour, but she already has 6 completed key chains. How can Brad use a system of equations to determine when he will have the same number of key chains as Velma?

Answers

Let us assume that the time after which Brad will have the same number of key chains as Velma = x hours
We already know that
Number of key chains Brad can make in an hour = 4
Number of key chains that Velma can make in an hour = 3
So after x hours,
Number of key chains that Brad can make = 4x
Number of key chains that Velma can make = 3x
Number of key chains that Velma already has = 6
Then the equation will be
3x + 6 = 4x
4x - 3x = 6
x = 6
So, from the above deduction, we can conclude that after 6 hours Brad will have the same number of key chains as Velma.

Joshua does not want to spend more than $22 on a long-sleeve shirt. Which description of shirt prices would keep joshua within his spending limit, not including tax? Select all that apply a- 15% off %25 b- 30% off 32% c-19.65 plus 2.35 shipping fee d- 20.45 plus a $1.60 shipping fee

Answers

Answer:

the answer is C

Step-by-step explanation:

19.65 + 2.35 is exactly 22, not including tax

Answer:

A and C

Step-by-step explanation:

A. 15% off $25

15% = 0.15

0.15 x 25 = 3.75

25 - 3.75 = 21.25

22 or under? Yes

B. 30% off $32

30% = 0.30

0.30 x 32 = 9.60

32 - 9.60 = 22.40

22 or under? No

C. $19.65 plus a 2.35 shipping fee

19.65 + 2.35 = 22

22 or under? Yes

D. $20.45 plus a $1.60 shipping fee

20.45 + 1.60 = 22.05

22 or under? No

Even though this is late, the other answer did not mention A being the answer as well so I hope this helped!

David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?2x2 + 14x − 2 = 0
3x2 + 10x − 8 = 0
4x2 + 10x − 2 = 0
x2 + 7x − 8 = 0

Answers

Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,                                 

                                               A = (3 + 2x)(2 +2x) = 8

The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice. 

Answer: The answer above me is correct .

Solve the following system:y = x + 3
2x + y = 9

(2, 5)
(5, 2)
(−2, 5)
(2, −5)

Answers

Answer:

x=

−1

33

y+

3

11

Step-by-step explanation: