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Liono4ka [1.6K]
2 years ago
14

Solve these equation4(3-x)=(1-2x)​

Mathematics
1 answer:
serg [7]2 years ago
8 0

To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.

:\implies\tt{4(3 - x) = (1 - 2x)}

:\implies\tt{(12 - 4x) = (1 - 2x)}

:\implies\tt{12 - 4x = 1 - 2x}

Combining like terms, we get,

:\implies\tt{12 - 1 =  - 2x + 4x}

:\implies\tt{11 = 2x}

:\implies\tt{2x = 11}

:\implies\tt{x =  \frac{11}{2} }

:\implies\tt{x = 5.5}

  • The value of x is 5.5

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John, Jim and Joe each went for a medical examination. Their combined height was 5.25 m. If John was 12 cm shorter than Jim and
kolezko [41]

The 5.25 m combined height of John, Jim, and Joe, the 12 cm height difference between John and Jim and the 0.09 m difference in height between Jim and Joe, indicates that solution to the word problem is Joe was 1.73  meters tall

<h3>What is a word problem?</h3>

A word problem is a presentation of a math problem using verbal description rather than numbers, variables and operators.

The combined height of John, Jim and Joe = 5.25 m

John's height = Jim's height - 12 cm = Jim's height - 0.12

Jim's height = Joe's height + 0.09 m

Let <em>h </em>represent Joe's height, we get;

Jim's height = h + 0.09

John's height = h + 0.09 - 0.12 = h - 0.03

John's height = h - 0.03

The sum of the heights is therefore; h + h + 0.09 + h - 0.03 = 3·h + 0.06

The sum of their heights = Their combined height = 5.25 meters

Therefore; 3·h + 0.06 = 5.25

h = (5.25 - 0.06)/3 = 1.73

Joe's height, <em>h</em> = 1.73 meters

Jim's height = 1.73 + 0.09 = 1.82

Jim's height = 1.82 meters

John's height = 1.73 - 0.03 = 1.7

John's height is 1.7 meters

Joe was 1,73 meters tall

Learn more about mathematics word problems?

brainly.com/question/19386917

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4 0
1 year ago
The solution of a+b&gt;−4 is a&gt;−9. What is the value of b?
evablogger [386]
A><span><span>−b</span>−<span>4
Hope this helps. c:</span></span>
5 0
3 years ago
A teacher asked the class to solve the equation 3(times+2)= 21 Robert wrote 3 times + 6=21 as his first step. Which property did
suter [353]
He used 3 distributive property :)
3 0
3 years ago
I don't really understand these because our teachers expect me to know this when she didn't teach us this.
stealth61 [152]
First, find the percentage of the price after the sale occures
percent = 100% - 20%
percent = 80%

We need to find the price for the pairs with the percentage above
new price = percentage of new price/percentage of old price × old price
new price = 80%/100% × 55
new price = 4/5 × 55
new price = 44
The new price is $44

Now we estimate how much the tax
tax = 6% × 44
tax = 6/100 × 44
tax = 2.64

Calculate how much Josie will pay
pay = new price + tax
pay = 44 + 2.64
pay = 46.64

Josie will pay $46.64
5 0
3 years ago
Is 5/8 grater than or equal to 11/16
dezoksy [38]

Answer:

Less than

Step-by-step explanation:

Although it wasn't an option, it is less than. In order to accurately compare then, you have to get the least common denominator. Using the least common multiple (2), you multiply 5/8 by 2 and end up with 10/16. Now 10 is less than 11, so the option is neither of those. 5/8 is less than 11/16.

7 0
3 years ago
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