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3 years ago

Two-Step Equations

2 answers:

4 0

<span>12x - 1 = 29

Add 1 to both sides of the equals sign
</span>
<span>12x - 1 + 1 = 29 + 1
12x = 30

Now, divide both sides of the equal sign by 12 to isolate the x.

12x / 12 = 30 / 12
x = 2.5

Therefore, the solution is x = 2.5.

Hope this helps!!
</span>

RoseWind [281]3 years ago

3 0

Answer:

2.5

Step-by-step explanation:

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Two trains, Train A and Train B, weigh a total of 300 tons. Train A is heavier than Train B. The difference of their weights i

eduard

Answer:

Train A = 214

Train B = 86

Step-by-step explanation:

a + b = 300

a - b = 128

a + b = 300

a = 128 + b

(128 + b) + b = 300

128 + b + b = 300

128 + 2b = 300

2b = 300 - 128

2b = 172

b = 172 ÷ 2

b = 86

a = 128 + b

a = 128 + (86)

a = 214

7 0

3 years ago

Find an equation of the line that passes through (3,4) and parallel to 4x-2y=5

Alex73 [517]

4x - 2y = 5
4x - 4x - 2y = -4x + 5
-2y = -4x + 5
-2 -2
y = 2x - 2¹/₂

y - y₁ = m(x - x₁)
y - 4 = 2(x - 3)
y - 4 = 2(x) - 2(3)
y - 4 = 2x - 6
+ 4 + 4
y = 2x - 2

4 0

3 years ago

Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Bus

Licemer1 [7]

Answer:

Let the complaints by Industry be CbI

CbI Frequency

Bank 26

Cable 44

Car 42

Cell 60

Collection 28

b) Percentages

CbI percentage (%)

Bank 13

Cable 22

Car 21

Cell 30

Collection 14

c) The industry with the highest number of complaints is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

Step-by-step explanation:

a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.

b) The percentage for each industry is done in comparison to the the total amount of complaints received.

Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)

Total amount of complaints received = 200

For Bank industry,

Percentage = 100% × (26/200) = 13%

For the Cable Industry,

Percentage = 100% × (44/200) = 22%

For Car industry,

Percentage = 100% × (42/200) = 21%

For Cell industry,

Percentage = 100% × (60/200) = 30%

For Collection industry,

Percentage = 100% × (28/200) = 14%

c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

7 0

3 years ago

Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdr

Nonamiya [84]

Answer: The amount of money in his account after 4 years = $7,658.73

Step-by-step explanation:

If interest is compounded annually, then formula to compute amount :

$A=P(1+r)^n$ , where P+ principal value, r= rate of interest, n= time ( in years).

As per given,

P= $6700 , r = 3.4% =0.034, n =4

$A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73$

Hence, the amount of money in his account after 4 years = $7,658.73

6 0

3 years ago

PLS PLS HELP FIND THE VOLUME!!! PLS PLS I GIVE U ALL MY POINTS

ICE Princess25 [194]

Answer:

1232

Step-by-step explanation:

Step 1: 8x14 to find the base

Step 2: Base times Height

Good Luck! And have a great day!

5 0

3 years ago

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