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andrezito [222]
3 years ago
6

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a) Simplify the express

ion and explain each step. (2 points) 4 ( 3 x + 2 ) − 2 b) Factor the expression completely. (1 point) 20 b − 16
Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

To simplify the expression:

4(3x+2) - 2

The first step is to open the brackets

= 4 * 3x + 4* 2 - 2

= 12x + 8 - 2

= 12x - 6

Factor out the above expression, we get;

= 6(2x - 1)

To factor out the expression:

20b - 16

the factor that can be divided by 20 and 16 without remainder is 4;

So, we have:

= 4(5b - 4)

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A DVD is available at a store for $17.68. The list price of this DVD was 5 18.99. What was the percent discount?​
earnstyle [38]

Answer:

  6.9%

Step-by-step explanation:

The amount of the discount was ...

  18.99 -17.68 = 1.31

As a percentage of the original price, that is ...

  1.31/18.99 × 100% ≈ 0.06898 × 100% ≈ 6.9%

The discount was about 6.9%.

7 0
3 years ago
Y=x+3 find the slope of a line that is parallel to the graph of the equation
ss7ja [257]

Answer:

1

Step-by-step explanation:

A line that is parallel has the same slopes. If one line's slope is 1, the other is 1.

5 0
3 years ago
What is (9x+5) - (4x+3)
harina [27]
I believe it's 7x because 9x+5 is 14x and 4x+3 is 7x and if u subtract it should be I'd I beg your pardon if it's wrong
6 0
2 years ago
A circular pond 24 yd in
Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd

Now, area of the pond is given as:

A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2

Area of the complete path including the pond area is given as:

A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0
3 years ago
Read 2 more answers
the length of a rectangle is 4 times its width. The rectangles perimeter is 68 feet what is the rectangles length and width ??
kodGreya [7K]

Answer:

Length = 27.2

Width = 6.8

Step-by-step explanation:

P = L+L+W+W

68 = 4(L+L)+W+W

68 = 4(x+x)+x+x

68 = 4x+4x+x+x

68 = 10x

x = 6.8

L = 4x

L = 27.2

W = x

W = 6.8

68 = 27.2+27.2+6.8+6.8

68 = 68

7 0
3 years ago
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