Explain why the product of a non-0 rational number and an irrational number is irrational?
Answer:
An irrational number is a number that can not be written as the quotient of two integer numbers.
Then if we have:
A = a rational number
B = a irrational number.
Then we can write:
A = x/y
Then the product of A and B can be written as:
A*B = (x/y)*B
Now, let's assume that this product is a rational number, then the product can be written as the quotient between two integer numbers.
(x/y)*B = (m/n)
If we isolate B, we get:
B = (m/n)*(y/x)
We can rewrite this as:
B = (m*y)/(n*x)
Where m, n, y, and x are integer numbers, then:
m*y is an integer
n*x is an integer.
Then B can be written as the quotient of two integer numbers, but this contradicts the initial hypothesis where we assumed that B was an irrational number.
Then the product of an irrational number and a rational number different than zero is always an irrational number.
We need to add the fact that the rational number is different than zero because if:
B is an irrational number
And we multiply it by zero, we get:
B*0 = 0
Then the product of an irrational number and zero is zero, which is a rational number.
please help me i need it
Answer:
-27
Step-by-step explanation:
Draw a big X over the equal sign, then cross multiply the terms to get:
6(p) = 9(p+9)
Then you want to get p by itself.
Multiply the 9 out:6p = 9p+81Subtract 9p from both sides:-3p = 81Divide -3 both sides to get p by itself:p = -27Question 15
Elizabeth goes to a restaurant where her
bill comes to $18.50. The restaurant
charges a 7% tax on the bill. She leaves
the server a 15% tip on the bill. How
much will Elizabeth pay in total?
-please answer I am currently on a test right now plz also show your work so I can get full credit :)
Answer:
The answer is $22.77.
Step-by-step explanation:
15%=$2.97
7% tax= $1.30
18.50+1.30=19.80
2.97+19.80=22.77
Total: $22.77
. Evaluate: y − (z + z^2); use y = 10, and z = 2
Will give brainliest plz help me and explain how to do it
Answer:
exact form -108/5, decimal form -21.6, and mixed number form -21 and 3/4
Is this correct? At this time of the day my brain starts dying lol.
Answer:
The first one is 0.63
Step-by-step explanation:
3.79 ÷ 6 is 0.63
The second one is correct
Answer:
the first one is wrong the second one is right
Step-by-step explanation:
the first one is - 0.63166666666 or 0.63
Check the picture, and thanks for the help
Answer:
According to me the answer is 'c'
P is inversely proportional to the square of q. When q = 2, P = 12.8 (a) Find a formula for P in terms of q.
Answer:
P = 51.2/ q
Step-by-step explanation:
Given :
P α 1/q²
P = k/q²
k = constant of proportionality
P = 12.8 ; q = 2
12.8 = k /2²
12.8 = k / 4
k = 12.8 * 4
k = 51.2
Formuka for P in terms of q :
P = 51.2/ q
What is the Volume?
Answer:
703.36
Step-by-step explanation:
the formula is v=b×h×pi
pi = 3.14
length: 28
base:8
So base (8) times length (28) times pi (3.14)
8×28×3.14 = 703.36
One number is nine more than another number. If the sum of the number is 65, find both numbers
Answer:
Step-by-step explanation:
x+x+9=65
2x=56
x=28
28,37
Answer:
one number= 28, other number= 37
Step-by-step explanation:
9+x+x=65
9+2x=65
2x=56
x=28
Help please will mark
Answer:
c
Step-by-step explanation:
SA formula is 2lw+2lh+2hw
Fill in the blank with the correct word(s) to complete the sentence.
A cube is a three-dimensional figure with six square faces that are ______.
A.
congruent
B.
height
C.
pattern
D.
length
The first person to answer gets a BRAINLEST :))))))))
Answer:
congruent
..............
The total cost of renovation depends on labor and materials. You decide to budget $25,000 towards labor. The amount, A, that each worker earns varies inversely to the number of workers on the job, n.
1) complete the table to indicate the amount earned for the given number of workers.
2) what do you notice about the product, A*n?
Answer:
see attachedA*n is the constant 25000Step-by-step explanation:
1)The amount A is said to vary inversely with n, so the equation relating the two is ...
A = k/n
The value of k can be found by multiplying this equation by n:
k = nA
Using values from the first line of the table, we find ...
k = (1)(25000) = 25000
So the relation we need to use to fill the table is ...
A = 25000/n
The filled table is attached.
__
2)As we saw in part 1, the product A*n is the constant of proportionality. It is a constant.
the distance from Portland to Seaside is 75 miles what is the distance in inches on the map which scale of 1.25 in:25 mi
I also need help with this other one
the distance between Portland to Seaside is 75 miles what is the distance in inches on the map with a scale of 1.25 in:25mi
Answer:
1.25in/25mi = x/75mi
25x = 93.75
x = 3.75
3.75 inches
4-6-5 3-5-4 2-8-?
Ok, can somebody please help me.
You need to find ?. This is not math this is brain game and i can't solve it!!!!
please help
Answer:
345678
Step-by-step explanation:
a scientist produces zinc iodine. This is the method used:
1.weight 0.500 g of iodine 2.dissolve the iodine in ethanol
3.add the excess of zinc
4. stir the mixture until there's no further change
5. filter the excess zinc
6. evaporate off the ethanol
explain why the scientist adds excess zinc rather then excess iodine
Ann has two more than twice the amount of toffees Mary has. Total number of
toffees among them is 11. (i) Assuming the number of toffees Mary has is x, build up an equation.
Answer:
SO THE EQUATION IS
2 + 2X = 11
Please help and explain
Answer:
$498.75
Step-by-step explanation:
Why it would be $498.75 is 500 - 25 is 475 then if you do 5% of 475 you get 23.75 and you will add that to the 475 and you will get $498.75.
PLEASE HELP 20 POJNTS
Answer:
Line through 0,2
Step-by-step explanation:
3) In the diagram shown, circles with centers at points A and B intersect at points Cand D. Segments AC, BC, AD and BD have been drawn to form quadrilateral ACBD. Circle A has a radius of length 5 cm and circle B has a radius of 3 cm. What is the perimeter of ACBD? Justify. (3 points)
Answer:
16 cm
Step-by-step explanation:
Whatever the positions of A and B changed, AC always = AD = 5 cm
and BC = BD = 3 cm
perimeter of ACBD = 2*5 + 2*3 = 16 cm
Solve the following quadratic equation
(x-18)^2=1.
A. x = 19 and x = 17
B. x = -19 and x = -17
C. x = -19 and x = 17
D. x = 19 and x = -17
To solve the quadratic equation (x - 18)^2 = 1, we can take the square root of both sides and consider the positive and negative roots. Here's how we can proceed:
Taking the square root of both sides gives us:
x - 18 = ±√1
Simplifying the square root of 1, we have:
x - 18 = ±1
Now, let's solve for x by considering both the positive and negative cases:
Case 1: x - 18 = 1
Adding 18 to both sides:
x = 1 + 18
x = 19
Case 2: x - 18 = -1
Adding 18 to both sides:
x = -1 + 18
x = 17
Leading to our final correct answer is:
A. x = 19 and x = 17
ヾ(•ω•`)o
solve this problem please
Answer:
Check pdf
Step-by-step explanation:
Kurt recorded the amount of snowfall in each month for one year what was the total snowfall that year
Answer:
10 1/4 inch
Step-by-step explanation:
Just add all the amounts up
Ethen is ‘x’ years old. Raj is 8 years older than Ethen. Find the sum of their ages in 6 years time.
Answer:
The sum of their ages in 6 years time is (2x+20) years.
Step-by-step explanation:
Given that,
Ethen is ‘x’ years old.
Raj is 8 years older than Ethen.
Raj's age = (x+8) years
We need to find the sum of their in 6 years.
After 6 years,
Ethen's age = (x+6) years
Raj's age = (x+8)+6
= (x+14) years
Sum of ages = (x+6) + (x+14)
= 2x+20
Hence, the required answer is (2x+20) years.
An empty box is shaped like a rectangular prism. The box has a base area of 9/10 square foot and a height of 1/3 foot. How much packing
material is required to fill the box?
ОА.
3/10 ft
OB.
*1/10 ft
Ос. .
1/3ft
OD. 2/3ft
Simply (2x^5)^2(4x^3)
BRAINLESS!!!
-what is the lowest fraction form of 8 boys to 16 girls
- what is the lowest fraction form of 100 blue marbles to 20 red marbles
- what is the lowest fraction form of 24 wins to 50 losses
- what is the lowest fraction form of 4 cups of vinegar to 20 cups of water
Answer:
1/2
25/5
12/25
1/5
Hope it helps!
Y 9. ΔΧΥΖ» Δ. ~^_ A. XYT; YZT B. XTY; YTZ C. TXY, ZYT Z T Х D. YXT; TYZ
Answer:
A
Step-by-step explanation:
What is the volume of this composite solid?
A. 1188 cubic meters
B. 567 cubic meters
C. 864 cubic meters
D. 132 cubic meters
Answer: c
Step-by-step explanation:
i did the test
Is this correct? Not sure.
Answer:
(from top)
in the first box, type $9
in the second box, type 4
in the third box, type $45
in the last box, type $112.50
Step-by-step explanation:
divide 22.50 by 2.5 = 9
so in the first box, type 9
36 divided by 9 = 4
5 * 9 = 45
12.5 * 9 = 112.5
Answer:
She makes $9 per hour. 9*2.5=22.50.
4 hours=$36
5hrs=$45
12.5 hours=112.50 dollars
Step-by-step explanation:
can someone please help me with this?