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Viktor [21]
3 years ago
13

Solve the equation 4(2x – 1) + 8 = 4x + 24. Factor out the greatest common factor, then solve.

Mathematics
2 answers:
Sonbull [250]3 years ago
6 0

Answer:

x=5

Step-by-step explanation:

4(2x – 1) + 8 = 4x + 24.

Factor out a 4 from each side

4{ 2x-1 +2} = 4(x+6)

Cancel the 4 on each side

2x-1+2 = x+6

Combine like terms

2x+1 = x+6

Subtract x from each side

2x+1-x = x+6-x

x+1 = 6

Subtract 1 from each side

x+1-1 = 6-1

x = 5

DedPeter [7]3 years ago
4 0

Answer:

5

Step-by-step explanation:

divide everything by 4

=(2x-1) +2 = x + 6

regroup

=2x = x + 5

x = 5

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Allison works in a department store selling
harkovskaia [24]

Answer:

a. $395

b. $(350 + 0.15x)

Step-by-step explanation:

Her income in a week can be written as;

$350 + 15% of sales

a. In the case of $300 sales in a week

Mathematically, that would be;

$350 + 15% of $300

$350 + (15/100 * 300)

$350 + $45 = $395

b. In the case of $x in sales

= $350 + 15% of x

= $350 + (15/100 * x)

= $350 + 0.15x

= $(350 + 0.15x)

8 0
4 years ago
Find the area of the parallelogram.
tensa zangetsu [6.8K]

Answer:

<h2>A = 210 cm²</h2>

Step-by-step explanation:

Area of a parallelogram = base × height

From the question

The base is = 30 cm

Let h represent the height of the parallelogram

We must first use Pythagoras theorem to find the height of the parallelogram before finding it's area

We have

{25}^{2}  =  {h}^{2}  +  {24}^{2}  \\  {h}^{2}  =  {25}^{2}  -  {24}^{2}  \\  {h}^{2}  =  \sqrt{ {25}^{2}  -  {24}^{2} }  \\  {h}^{2}  =  \sqrt{625 - 576}  \\  {h}^{2}  =  \sqrt{49}

We have the answer as

h = 7 cm

So from the question

height = 7cm

Let's substitute the base and the height into the above formula and solve for the area

We have

Area = 30 × 7

We have the final answer as

<h3>A = 210 cm²</h3>

Hope this helps you

5 0
3 years ago
Vasudevan invested rupees 60000 at an interest rate of 12% per annum compounded half yearly what amount would he get after 6 mon
Luda [366]

Answer:

Fv = Pv(1 + i/m ) n×m

=60 000(1 + 0.12/2) 1×2

=60 000(1.06) ²

=60 000×1.1236

=67 416

5 0
3 years ago
Find the answer please
xz_007 [3.2K]

1st set = 4 letters

2nd set = 4x 4 = 16 letters

3rd set = 16 x 4 = 64 letters

4th set = 64 x 4 = 256 letters

5th set = 256 x 4 = 1,024 letters

6th set =1024 x 4 = 4,096 letters

7th set = 4096 x 4 = 16,384 letters

8th set = 16,384 x 4 = 65,536 letters

Each letter cost 2

Total cost = 65,536 x 2 = 131,072

7 0
3 years ago
Drug abuse is defined as __________.
kupik [55]
<span>C. the nonmedical or improper use of a drug, which can interfere with a healthy life

     hope that i helped</span>
8 0
4 years ago
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