Answers
Step-by-step explanation:
by understanding how a number actually works.
when I write e.g. the number 2648, what did I actually tell you ?
that there is a value or quantity that is
8×10⁰ + 4×10¹ + 6×10² + 2×10³
every number you or anybody else has ever written represented this type of information.
so, now we have a 2-digit number : xy
its value is : y×10⁰ + x×10¹
and because 10⁰ = 1 and 10¹ = 10, this is simply
x×10 + y or 10x + y
the description tells us that
|x - y| = 2
and that xy + yx = 132
that means
10x + y + 10y + x = 132
11x + 11y = 132
we can divide by 11 and get
x + y = 12
like 8+4 or 9+3.
and we know the difference between x and y is 2
like 6 and 4, or 1 and 3.
normally we should know the solution already (I do), but let's finish it formally.
we use one scenario of the absolute value equation :
x - y = 2
x = y + 2
and we use this in the second equation :
y + 2 + y = 12
2y + 2 = 12
2y = 10
y = 5
x = y + 2 = 5 + 2 = 7
the same, just with reversed positions, is the result when using
y - x = 2
so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.
Related Questions
Factor the following polynomial completely. x2n – y2n
Answers
Answer:
(x/y)^2n-2n
(x/y)⁰
=1
since any number raised to power of 0 is 1
The base of a triangle is 13 cm rounded to the nearest integer.
The perpendicular height of the triangle is 4.7 cm rounded to 1 dp.
Write the error interval for the area, a, of the triangle in the form m ≤ a < n.
Answers
Answer:
30.55 <_ a < 30.55
Step-by-step explanation:
a = 1/2 × b × h
a = 1/2 × 13 × 4.7
a = 30.55 cm^2
30.55 <_ a < 30.55
Natalie is graphing point T at (1,8). should she moves to the right 8 units or up 8 units? Explain
Answers
Answer:
move 1 to the right and 8 units up
Step-by-step explanation:
What expression is equivalent to 42+18
Answers
I think the answer is 20+40...
One member of the solution set of 3x + 2 > x + 8 is
(A) 1
(B) 3
(C) 5
(D) -4
Anyone know the answer to this ?
Answers
3x + 2 > x + 8
3x - x > 8 -2
2x > 6
x > 3
ok done. Thank to me :>
A rectangle of dimensions 60 units x 40 units is drawn on grid paper with vertices in
the nodes of the grid. A cell of the grid is 1 unit * 1 unit. A diagonal of the rectangle is
drawn. How many cells have been cut into two (not necessarily equal) parts?
Answers
The number of cells which have been cut into two parts is approximately ; 72 units
According to the question;
The rectangle has dimensions 60 units x 40 units.Provided a cell of the grid is 1 unit * 1 unit.
When a diagonal of the rectangle is drawn;
The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.
Diagonal, D² = 60² + 40²D² = 3600 + 1600D² = 5,200D = √5200D = 72.11 unitsRead more;
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Answer: 80
see attached
Step-by-step explanation:
If you do a 3x2 units, and draw a diagonal line, you'll see 4 units are cut. because it's 60x40, then means BOTH lengthwise & widthwise you'll repeat 20 times, so 20*4 units = 80 units.
1/6 to 4/7 what is the ratio? Pls hurry!
Answers
Answer:
7:24
Step-by-step explanation:
Find the common denominator for both fractions: 42
1/6 x 7/7 = 7/42
4/7 x 6/6 = 24/42
7:24
The mean of 16, X, 3, 14,57 is 22. Find
Х
Answers
Answer:
20
Step-by-step explanation:
Given,
The mean of 16, X, 3, 14, 57 is 22.
Therefore,
(16+X+3+14+57)/5 = 22
(16+X+3+14+57) = 110
(90+X) = 110
X = 110-90
X = 20
The value of x will be 20.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mean of set 16, X, 3, 14, 57 is 22.
Now,
Since, The mean of 16, X, 3, 14, 57 is 22.
Hence, By definition of mean we get;
⇒ 16 + X + 3 + 14 + 57 / 5 = 22
Solve for x as;
⇒ 90 + X / 5 = 22
⇒ 90 + X = 22 × 5
⇒ 90 + X = 110
⇒ X = 110 - 90
⇒ X = 20
Thus, The value of x will be 20.
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(Pythagorean theorem) do the following lengths form a right triangle? Show steps
Answers
Answer:
8^2+6^2=10^10?
64+36=100
Yes
Hope This Helps!!!
Answer:
Yes,
Step-by-step explanation:
8^2 +6^2=100
[tex]\sqrt 100\\[/tex]= 10
0.000456 in scientific notation (Please answer fast this is on my final math exam!)
Answers
Answer:
0.000456 in scientific notation
= 4.56 × 10-4
Step-by-step explanation:
Can I have brainliest?
0.000456 in scientific notation is 4.56 × 10-4
laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive on average each week?
Answers
Answer:
l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks
Mr smith’s Pizza parlor
Answers
The questions are not readable. try uploading a better picture.
is 5/8 greater than 61%? thanks i have late stuff that i need done
Answers
Answer:
5/8 is 62.5% which makes it greater
Step-by-step explanation:
Convert the fraction to a decimal and then just multiply it with 100
5/8 is 0.625
0.625×100 is 62.5
just add a %
then you get 62.5%
Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?
Answers
Usando un sistema de ecuaciones, se encuentra que:
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Para el sistema, considera-se que:
x es el peso de una caja grande.y is el peso de una caja pequeña.Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:
[tex]3x + 5y = 112[/tex]
Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:
[tex]6x + 2y = 118[/tex]
Simplificando por 2 :
[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]
Reemplazando en la primera ecuación:
[tex]3x + 5y = 112[/tex]
[tex]3x + 5(59 - 3x) = 112[/tex]
[tex]3x + 295 - 15x = 112[/tex]
[tex]12x = 183[/tex]
[tex]x = \frac{183}{12}[/tex]
[tex]x = 15.25[/tex]
[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Un problema similar es dado en https://brainly.com/question/24646137
0.35 is best known as what number
Answers
PLEASE HELP.
Use the drawing tool(s) to form the correct answer on the provided graph. The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation of f as shown below. g(x) = f(-2/3x)
WILL GIVE 100 POINTS.
Answers
Step-by-step explanation:
Given function:
f(x) = xThe transformation of f(x) is g(x):
g(x) = f(-2/3x) = -2/3xThe graph of g(x) is attached below
8 I am 8 yeard old, my father is24 years older than iam ,how old was my father 5 years ago?
Answers
Step-by-step explanation:
He was 19 years old when you were 5
32 - 5 = 27
What is the equation for this? please help!!
Answers
Answer:
the equation is y=x^2+8
write each power as a product of the same factor. Then find the value. 4^4
Answers
Answer:
256
Step-by-step explanation:
4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256
What is the slope of the graph of the given line?
Answers
Answer:
slop = 2/3
Step-by-step explanation:
slope = rise/run
Start at the lower left point (-2, -1).
We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).
First we go up 4. The rise is 4.
Then we go right 6. The run is 6.
slope = m = rise/run = 4/6 = 2/3
slope = 2/3
What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line 2 - y = 7?
Answers
Answer:
[tex]y = -6[/tex]
Step-by-step explanation:
Because is a line is of the form
[tex]y = mx + b[/tex]
and its parallel to the line
[tex]2 - y &= 7\\- y &= 5\\y = -5[/tex]
So that's meaning that the slope [tex]m[/tex] is equal to 0 then the equation now is of the form
[tex]y = b[/tex]
Then if pass for the point -6 and [tex]b[/tex] is the point of cut with the [tex]y[/tex] axis then our equation of the line is equal to
[tex]y = -6[/tex]
what is the difference of 23xand 9 x
Answers
Answer:
14x
Step-by-step explanation:
.....................
I need help with this :')
Answers
Answer:
Rate of change is 15/2
Step-by-step explanation:
Rate of change is the same as slope of a line.
( y1 - y2 ) / ( x1 - x2 )
( 30 - 15 ) / ( 4 - 2 )
15 / 2
Hopefully this helps!
Brainliest please?
The Shanghai Maglev Train takes 8 minutes to travel a distance of 30.5 kilometres.
Work out the average speed of the train.
Answers
Answer:
228.75 km/h
Step-by-step explanation:
average speed = total distance / total time
The Average speed is 228.75 Km/h.
What is speed- Distance Formula?Speed = Distance/TimeDistance = Speed X Time, and Time = Distance / Speed,Given:
Distance= 30.5 Km
Time= 8 min
= 8/60 hr= 2/15 hour
Now, Average speed= Distance / time
= 30.5 x 15/2
= 228.75 Km/ h
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1. Two students are asked to find the angle measures of AEFG, given that the triangle is isosceles. AEFG has an exterior angle at which has a measure of 110%. Their work is shown below.
Which answer is correct? Explain below.
Serin's Answer: The measure of Angle G is 70 degrees. Since the base angles are congruent, the measure of Angel F is also 70degrees.This leaves 40 degrees for Angle E.
Lam's Answer: The measure of angle G is 70degrees. Since an isosceles triangle has two congruent angles, the measure of Angle E and Angle F must be 55degrees
O Both are correct.
ONeither is correct.
Answers
Answer:
∆EFG has an exterior angle at G which has a measure of 110°. Which answer is incorrect ... Since external angle is 110 degrees, the internal is 70 degrees
Step-by-step explanation:
no problem we all get stuck
The angles can be ∠ G = 70°, ∠ F = 70° and ∠E = 40° or ∠ G = 70°, ∠ F = ∠ E = 55° hence both are correct so, option C is correct.
What is triangle?
Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangle is isosceles, and AEFG has an exterior angle at which has a measure of 110°,
Calculate the interior angles of the triangle as shown below,
∠ G = 180 - 110 (exterior angle)
∠ G = 70°
Since the remaining angles can be ∠ F = 70° and ∠E = 180 - 70 + 70 = 40°
or ∠ F = ∠ E = 55°
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An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, and the length and height of the box are 5/7 foot and 1 1/2 feet, respectively, what is the width of the box?
Answers
Answer: the answer is 1/2
Step-by-step explanation:
HELPPPPP!!!!!!!!!!!!!!!!!!
Answers
Answer:
I think b im not too sure
Step-by-step explanation:
Answer:
C 8
Step-by-step explanation:
3 apples/2 oranges = 12 apples/x
3/2 = 12/x
3x = 24
x = 8 oranges
Convert 4.5 to a mixed number help for brainlist with explanation!
Answers
Answer:
4 1/2
Step-by-step explanation:
the 4 means that the whole number will be 4. .5 means that there is one half of 1, so 1/2 will be the decimal
we can also write the decimal as an improper fraction.
45/10
then, reduce the fraction by 5
9/2
2 can go into 9 four times, so that is our whole number. 2 times 4 is 8, so there is 1 left in the numerator.
4 1/2
With 4 being the whole number you multiple by the denominator which .5 being written as a fraction would be 5/10. With 4 multiples by 10 being 40, you then add the numerator 5 to get 45 and you write it as a fraction over 10.
7. Write an equation for the line in slope- intercept form
Answers
Answer:
y equals -2x - 3
Step-by-step explanation:
hope it helps
(would appreciate mark brainliest)
Please help!!!!!!!!!!!!!
Answers
Answer:
can you also send a graph that might help rn
Step-by-step explanation: