Mr Jones is 4 years older than his wife and 31 years older than his son. their ages add up to 82 years. if Mr Jones is x years old, find the value of x and the ages of his wife and son.first person here gets the brainiest award thingy!
Answers
Answer:
39 Mr Jones
35 Mrs. Jones
8 Son
Step-by-step explanation:
x ----> Mr. Jones
x - 4 ----> His wife
x - 31 ---> His son
x + (x - 4) + (x - 31) = 82
3x - 35 = 82
3x = 82 + 35
3x = 117
x = 117/3
x = 39 Mr Jones
x - 4
39 - 4
35 Mrs. Jones
x - 31
39 - 31
8 Son
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Answers
a)
x+y2=14
⟹y2=14−x
⟹y=±14−x−−−−−√
Let’s say we plug in x=5
, we will get y=±3
The definition of a function says that one input must give us at most one output. This tells us that from this equation we cannot have y
as a function of x
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Answers
Answer:
$1.20
Step-by-step explanation:
Mandy and Jordan each bought some of the same notebooks and the same three-ring binder.
Mandy paid for 3 notebooks and 1 binder = $5.85
Jordan paid for 2 notebooks and 1 binder = $4.65
Mandy paid more money for extra one notebook = 5.85 - 4.65
= $1.20
Therefore, the price of one notebook is $1.20.
let's turn this into 2 equations, n being notebook price, and b being binder price ->
mandy -> 3n + b = 5.85
jordan -> 2n + b = 4.65
we need to take one equation, simplify for b, and plug it into the other equation, let's take jordan's equation for this ->
b = 4.65 - 2n
plug it into mandy's equation
3n + (4.65 - 2n) = 5.85
simpify until you get n = 1.20
take this and plug it back into jordan's equation ->
2(1.20) + b = 4.65
simplify until you get b = 2.25
plus this value into mnady's equation ->
3n + (2.25) = 5.85
simplify until you get that n = 2.25
Answers
Answers
2,180 miles = (1.609344... x 2,180 km)
= 3,508.37 km (rounded)
Answers
Answer:
563
Step-by-step explanation:
Plato
(5x2 – 2)(25x4 – 10x2 + 4)
(5x2 – 2)(25x4 + 10x2 + 4)
(5x2 – 2)(25x4 + 10x2 – 4)
Answers
Answer:
Step-by-step explanation:
125x^6 – 8
We write the numbers in exponential form
125= 5*5*5 = 5^3
8 = 2*2*2= 2^3
Now 125x^6 - 8 becomes 5^3x^6 - 3^3
5^3x^2*3- 3^3
We got the expression in cube form a^3- b^3= (a-b)(a^2+ab+b^2)
a= 5x^2 and b= 2
=
The factored form of 125x⁶ - 8 is (5x² - 2)(25x⁴ + 10x² + 4). This expression is obtained by applying the difference of squares formula and then factoring the difference of cubes further.
To factor the expression 125x⁶ - 8, we can use the difference of squares formula, which states that a² - b² = (a + b)(a - b).
Step 1: Recognize that 125x⁶ can be expressed as (5x^2)³ and 8 can be expressed as (2)³.
Step 2: Apply the difference of squares formula:
125x⁶ - 8 = (5x²)³ - (2)³
Step 3: Now we have a difference of cubes, so we can factor it as:
125x⁶ - 8 = (5x² - 2)((5x²)² + 5x² * 2 + 2²)
Step 4: Simplify the second part of the expression:
125x⁶ - 8 = (5x² - 2)(25x⁴ + 10x² + 4)
Therefore, the factored form of 125x⁶ - 8 is (5x² - 2)(25x⁴ + 10x² + 4). This expression is obtained by applying the difference of squares formula and then factoring the difference of cubes further.
To know more about factored form:
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