Step-by-step explanation:
Simplifying
36 = byx
Solving
36 = bxy
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-1bxy' to each side of the equation.
36 + -1bxy = bxy + -1bxy
Combine like terms: bxy + -1bxy = 0
36 + -1bxy = 0
Add '-36' to each side of the equation.
36 + -36 + -1bxy = 0 + -36
Combine like terms: 36 + -36 = 0
0 + -1bxy = 0 + -36
-1bxy = 0 + -36
Combine like terms: 0 + -36 = -36
-1bxy = -36
Divide each side by '-1xy'.
b = 36x-1y-1
Simplifying
b = 36x-1y-1
Answer:
y = [tex]\frac{36}{bx}[/tex]
Step-by-step explanation:
Given
36 = byx ( isolate y by dividing both sides by bx )
[tex]\frac{36}{bx}[/tex] = y
Is Integer a Rational Number?
Hey there!
Before we get to know an Integer and Rational Number, we have to know the Real Number system first.
1. What is Real Number System?
Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.But do you know that the Real Number system can be broken into two categorizes? And what are them?
Real Numbers can be broken into these main two categorizes which are:
Irrational NumberRational NumberThese numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!
Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.
2. What is Rational Number?
Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that approximations aren't considered as rational numbers. Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as Irrational Number. Also if infinity/endless decimal can be written in fraction form as well, they are considered as Rational Number too!Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:
Integers - Whole number or number without fraction or decimal.Fractions and Decimals that can be written in fraction form.And Integers can also be broken into:
Negative IntegersZeroPositive Integers3. Conclusion and Answer
Since Integers are subset of Rational Number, we can conclude that Integers are Rational Number.Hope this helps, and let me know if you have any doubts regarding Real Number system.
If 120 learners took an examination, passes to fail is 17:3 : what percentage of learners passed
Answer:
85%
Step-by-step explanation:
First, let's add up the ratios and use it to divide 120. That way we can find out how many people each ratio is.
17 +3 = 20
120/20 = 6
Each individual ratio is equal to 6.
17 * 6 = 102
3 * 6 = 18
102/120 = percentage of who passed
= 0.85
85 percent of learners passed.
Choose the scenario that could be represented by 5/6
A. Five friends share six pizzas equally. B. Six pounds of oats are divided equally among five horses.
C. A six-foot string is cut into five equal pieces.
D. A five-hour bus trip is divided into six equal legs.
Answer:
d. A five-hour bus trip is divided into six equal legs.
Step-by-step explanation:
hope it helps
Answer:
Step-by-step explanation:
A - You'd divide the 6 pizzas by 5 friends. 6/5.
B - You're dividing the 6 oats by 5 horses. 6/5.
C - You're dividing the 6-ft string by 5 pieces. 6/5.
D is the only one dividing a whole of 5 into 6 parts.
Which of the following is most likely the next step in the series?
Answer:
D.
Step-by-step explanation:
The pattern is line across, then down, then across, then down, then across.
Answer:
D
Step-by-step explanation:
The steps are horizontal line, then vertical line. After the third image, the next line should be the horizontal line.
HELP PLZ
Does the Graph Represent A Function? Why Or Why Not?
Answer:
C
Step-by-step explanation:
Answer:
hi its c because its not a traight line
Step-by-step explanation:
help asap pls ----------------------------------- Also tell me the graph from the second/third photo not the equation
Answer:
graph "B"
at 0 graph = -1200 that is the production cost
Step-by-step explanation:
A. Y SO
OB. X30
C. All real numbers
D.x20
CAN SOMEBODY PLEASE HELP!!
Which system of equations has one solution?
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ([tex]k[/tex]) is described by the following expression:
[tex]k = \frac{y}{x}[/tex] (1)
Where:
[tex]x[/tex] - Input.
[tex]y[/tex] - Output.
If we know that [tex](x_{1}, y_{1}) = (13, 45.5)[/tex], [tex](x_{2}, y_{2}) = (14, 49)[/tex] and [tex](x_{3}, y_{3}) = (15, 52.5)[/tex], then the constants of proportionalities of each ordered pair are, respectively:
[tex]k_{1} = \frac{y_{1}}{x_{1}}[/tex]
[tex]k_{1} = \frac{45.5}{13}[/tex]
[tex]k_{1} = \frac{7}{2}[/tex]
[tex]k_{2} = \frac{y_2}{x_2}[/tex]
[tex]k_{2} = \frac{49}{14}[/tex]
[tex]k_{2} = \frac{7}{2}[/tex]
[tex]k_{3} = \frac{y_{3}}{x_{3}}[/tex]
[tex]k_{3} = \frac{52.5}{15}[/tex]
[tex]k_{3} = \frac{7}{2}[/tex]
Since [tex]k_{1} = k_{2} = k_{3}[/tex], the constant of proportionality is 3.5.
Need help really badly please help .
Answer:
sin s = 36 / 42 = 18 / 21 = 6/ 7
sin R = 14 / 42 = 7 / 21 = 1 / 3
cos s = 14 / 42 = 1 / 3
cos R = 36 / 42 = 6 / 7
Find the width of the rectangular prism which has Surface area of 10 CM2, length of 2cm and height of 1 cm
Answer:
width is 1 cm
Step-by-step explanation:
The SA of a rectangular prism is SA = 2(lw + wh + hl)
We are given the length, the height, and the SA, and we need to find the width. So we plug in the known values into this equation:
10 = 2(2w + w + 1*2)
10 = 2(3w+2)
10 = 6w+4
6=6w
w=1
We can check the answer by plugging in all the values into the equation:
10 = 2(2*1+1*1+1*2)
10 = 2(5)
10 = 10
Ramesh went from place A to place B and then from place B to place CA is 10.8 km from B and place B is 15.5 km from place C, Rahul went from place A to place D and then place D to place C, distance between place A and D is 11.7 km and distance between place D and place C is 18.2 km, Who travelled more distance and by how much, also calculate the total distance between place A and place D and express the total distance in M,CM and KM.
Answer:
Part A
Rahul by 3.6 km
Part B
The distance between A and D, through place C, d are;
The distance between A and D in meters, m = 44,500 m
The distance between A and D in centimeters, cm = 4,450,000 cm
The distance between A and D, in kilometers, km = 44.5 km
Step-by-step explanation:
Part A
The details of the journeys are;
The distance of A from B = 10.8 km
The distance of B from C = 15.5 km
The total distance Ramesh traveled, d₁ = The distance of A from B + The distance of B from C
Therefore;
d₁ = 10.8 km + 15.5 km = 26.3 km
The total distance Ramesh traveled, d₁ = 26.3 km
The distances of the journey of Rahul is as follows;
The distance between place A and D = 11.7 km
The distance between place D and C = 18.2 km
The total distance Rahul traveled, d₂ = The distance between place A and D + The distance between place D and C
d₂ = 11.7 km + 18.2 km = 29.9 km
The total distance Rahul traveled, d₂ = 29.9 km
Therefore, given that d₂(29.9 km) > d₁(26.3 km), Rahul travelled more distance than Ramesh
The difference between the distance Rahul travelled and the distance Ramesh travelled, d₂ - d₁ = 29.9 km - 26.3 km = 3.6 km
Therefore;
Rahul travelled more distance than Ramesh by 3.6 km
Part B
The total distance from place A to place D through place C, d₃, is given as follows;
d₃ = The distance from A to B + The distance from B to C + The distance from C to D
∴ d₃ = 10.8 km + 15.5 km + 18.2 km = 44.5 km
The total distance from place A to place D, d₃ = 44.5 lm
The total distance from place A to place D in meters, m = 1000 m/km × 44.5 km = 44,500 m
The total distance from place A to place D in cm = 100 cm/m × 44,500 m = 4,450,000 cm
the
al speed
the time.
Sundeep travels by train to a meeting in Barcelona.
Barcelona is 270 km from where he lives. He catches the train
at 9:45 a.m. The train travels at an average speed of 120 km/h.
At what time will the train arrive in Barcelona?
Answer:
Sundeep will arrive in Barcelona at 12pm
The range of the data: 6, 14, 20, 16, 6, 5, 4, 18, 25, 15, and 5 is
Answer:
the range is 21.( range=highest value-lowest value)
What's the domain of the graph?
Step-by-step explanation:
In interval form, the domain of f is (−∞,∞).
Please help I’ll give brainliest
Answer:
$48
Step-by-step explanation:
$160 * 0.05 = $8
$8 * 6 = $48
Hope this helps
Answer:
48
Step-by-step explanation:
Please Mark me brainlist
-36y= x^2
does the parabola open:
1. left
2.down
3.up
4.right
Answer:
3. first make Y the subject, then x^2 will become negative which will make the the parabola open up
PLEASE HELP ASAP - ILL GIVE BRAINLEST
ITS 2 PAGES BUT 4 QUESTIONS
30 points
Answer:
Step-by-step explanation:
Statement #1: A plane is a flat two-dimensional surface that continues in every direction, to infinity. Statement #2: You can name a plane with one letter that is not a point on the plane. Statement #3: You can name a plane with 3 non-collinear points that lie on the plane. Which of these statements are TRUE? Only statement #1 is true Only statements #1 & #2 are true Only statements #1 & #3 are true All 3 statements are true
Answer:
C. Only statements #1 & #3 are true.
Step-by-step explanation:
A plane is made up of various number of points or line that extend till infinity on a flat surface. It can be named by with 3 non-collinear points that lie on the plane or by a letter in the plane (e.g plane A).
All plane shape are derived by their required dimensions in a plane. So that they can all be expressed on a flat surface i.e in 2 dimensions only.
Thus from the given question, the appropriate option that are statements that defines a plane accurately is C. i.e only statements #1 & #3 are true.
Yea thank for the answer
Answer:
Step-by-step explanation:
Hello!
10*17 = > 170 cm²
(3,14 * 8)/4 =>6,28cm²
170 + 6,28 => 176,28cm²
Answer:
182.56
Step-by-step explanation:
Area of the rectangle = 10 * 17 = 170cm^2
Area of Circle = 8 * 2 * [tex]\pi[/tex] * 1/4
=> 12.56
=> 170 + 12.56
=> 182.56 is the area
Hope it helps :)
pls help me solve pls show how you got the answer
Step-by-step explanation:
(-13) + 7 – (-2) + (-6) + ( ) = 0
Let the unknown be "y"
-13 + 7 + 2 - 6 + y = 0
-10 + y = 0
y=10.
The missing Number is 10.
Verify
-13 +7 + 2 -6 + 10 = 0.
Answer:
10
Step-by-step explanation:
Write an equation that PASSES THROUGH (3, -1) and is PARALELL to y = 6x - 4
show work
Answer:
y = 6x - 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes , then
y = 6x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = 6x - 19 ← equation of parallel line
you how many miles are there in 86.88 km 1.6 km equals to 1 miles or conversion
50 POINTS please help!
quickly
What is the value of sinX?
please help me solve this problem one problem for 15 points
i didn't get it what is the question
Find the image of NPQ under the translation of (x, y) + (x + 8, y + 1).
АВС
DEF
KLM
GHJ
Answer:
Triangle KLM
Step-by-step explanation:
Firstly, we need to write the coordinates of triangle NPQ
We have this as;
(-7,-6) for N
(-4,-3) for P
(-4,-6) for Q
Now, we are going to use the given translation formula;
(x + 8, y + 1)
N’ will be (-7+ 8, -6 + 1) = (1,-5)
P’ will be (-4+ 8, -3+1) = (4,-2)
Q’ will be (-4+ 8, -6+1) = (4,-5)
Now, we need to find the triangle with the exact given transformation coordinates calculated above;
We have the triangle as;
KLM
With K as (1,-5) ; L as (4,-2) and ; M as (4,-5)
I will give branliest if it let's me! Please help! I'll give 5 star rating, thanks and 40+ points!
Answer:
B
Step-by-step explanation:
These are corresponding angles if i remember correctly.
Answer:
Supplementary
Step-by-step explanation:
The angles add up to 180 degrees
On acm grid, point p has the coordinates (3,-1) and point q has the coordinates (-5,6)
Calculate the shortest distance between p and q
Answer:
√113
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(-5 - 3)² + [6 - (-1)]²
√(-8)² + (7)²
√(64) + (49)
√113
Nina and Jo both ran an 8 km race. Nina took 55 minutes to run the whole race. Jo started the race 3 minutes later than Nina but caught up when they had both travelled 6 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answer:
Step-by-step explanation:
First we figure out how fast Nina can run. If Nina can run 8 km in 55 minutes, then her rate is
[tex]\frac{8km}{55min}=.145\frac{km}{min}[/tex] and we can use that in a d = rt table:
d = r * t
Nina .145
Jo
Now we can fill in the distance which is 6 for both, since that is the distance where they met:
d = r * t
Nina 6 = .145
Jo 6 =
Now we go to the info given about the time. If Jo started the race 3 minutes after Nina, that means that Nina is running 3 minutes longer than Jo. Filling in the time info:
d = r * t
Nina 6 = .145 * t + 3
Jo 6 = r * t
As you can see, right now we have 2 unknowns in Jo's row. But we don't have to! We will go to Nina's row where the only unknown is time and solve for t. If d = rt, then
6 = .145(t + 3) and
6 = .145t + .435 and
5.55 = .145t so
t = 38.379 minutes. This means that Jo was running 38.379 minutes when she caught up to Nina (it took Nina 3 minutes longer than that to go 6 km since she was already running for 3 minutes when Jo started the race). If Jo's time is 38.379, we can use that in her row for t and solve for r. If d = rt, then
6 = r(38.379) and
r = .16 km/min
Let's check it without the rounding (rounding takes away from the accuracy). If 6 = .145(t + 3) and Nina's rate not rounded is .145454545 and t = 38.37931034, then, rewriting without rounding:
6 should equal .145454545( 38.37931034 + 3)
6 ?=? .145454545(41.37931034)
6 ?=? 6.0 so
Jo's rate is .16 km/min rounded
BRAINLIEST FOR THE RIGHT ANSWER! THANKS! Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)
Answer:
x-y=4
Step-by-step explanation:
Slope = (1-(-4))/(5-0) = 5/5 = 1
y-intercept,
b=-4-(1)×0=-4
so the equation is,
y=x-4
or, x-y=4
Answered by GAUTHMATH