Answers
Answer:
x=2
Step-by-step explanation:
let the unknown number be x
now we are to find x regarding the question as an equation, let's form the equation to solve for x
the interpretation of the question is:
(x² + x)/3 = x
by collecting the like terms:
(x²+ x) = 3x
x² + x = 3x
x² = 3x - x
x² = 2x
x = 2
Answer:
The number you thought to start with, X
Step-by-step explanation:
Magician's secret:
Step 1: Let the original number you thought of be X
Step 2: 2 × x = 2X
Step 3: 2X + X = 3X
Step 4: 3X/3
》X
Related Questions
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 18 minutes, and then flies directly back to the hive at 6
feet per second. It is away from the hive for a total of 23 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Answers
Answer:
Step-by-step explanation:
d = distance from hive to flowers, in feet
flying time = 23 min - 18 min = 5 min = 300 sec
time flying to flowers = d ft × (1 sec)/(10 ft) = (d/10) sec
time flying to hive = d ft × (1 sec)/(6 ft) = (d/6) sec
d/10 + d/6 = 300 sec
:::::
d/10 + d/6 = 3d/30 +5d/30 = 8d/30 = 300
d = 300×30/8 = 1,125 ft
Given (x – 1)2 = 50, select the values of x.
x=-49
x=51
x=1+5sqrt{2}
x=1-5sqrt{2}
Answers
Answer:
C and D.
Step-by-step explanation:
We want to solve the equation:
[tex](x-1)^2 = 50[/tex]
We can take the square root of both sides. Since we are taking an even root, we need plus/minus:
[tex]\displaystyle (x-1) = \pm\sqrt{50}[/tex]
Note that:
[tex]\sqrt{50} = \sqrt{2\cdot 5^2} = 5\sqrt{2}[/tex]
Hence:
[tex]\displaystyle (x - 1) = \pm5\sqrt{2}[/tex]
And by adding one to both sides:
[tex]\displaystyle x = 1 \pm 5\sqrt{2}[/tex]
In conclusion, our answers are both C and D.
there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games
Answers
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
The reason for arriving at the above probability is as follows:
The given parameters are;
The number of teams in the tournament, n = 60
The chance of a team winning a game = 50% = 0.5
The number of ties = No ties
The required parameter:
The probability that no two teams win the same number of games
Method:
Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes
Solution:
The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770
The possible outcomes = 2; Winning or losing
The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰
The number of games won by each team is between 0 and 59
The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59
Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!
[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]
The probability that no two teams win the same number of games is given as follows;
[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]
Therefore;
[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
Learn more about probability theory here:
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سر
.
A particular satellite is 15 m wide. A model
of it was built with a scale of 1 cm: 5 m.
How wide is the model?
Answers
Answer:
3cm
Step-by-step explanation:
A particular satellite is 15 m wide
Model of it was built with a scale of 1 cm: 5 m
=> scale of the model will be: 1/500cm and A particular satellite is 1500 cm wide
=>1500*1/500=3(cm)
Which point is located at -0.905?
В.
H
-0.9
HHH
-0.8
-1
Choose 1 answer:
A
Point A
B.
Point B
Point C
Point D
Answers
Answer:
point b is located at -0.905 . If it was -0.95 then it would be point A
Answer:
point B
I hope it's helps you
What is the base length of a rectangle with a height of 23 ft and an area of 437 ft??
Enter your answer in the box.
Answers
Answer:
Answer is 19
Step-by-step explanation:
firstly,the area of a rectangle is =LxW
secondly since there is no number for length,we use X for representing the number ,then height is used for representing breath and the number is 23ft and area is 437ft
so we solve,
LxW=AREA
Xx23=437
23X/23=437/23
X=19
therefore the length is =19
|x|-5 what does the vertical bar means?
Answers
Answer:
it means absolute valuen so anything inside becomes a positve.
Step-by-step explanation:
I’m confused because I don’t know what I would put for “What scale factor takes the original polygon to its smaller copy”.
Answers
Scale factors are:
- greater than 1 if there’s growth
- less than 1 if the result is smaller.
The scale factor that takes the original H-shaped polygon to its smaller copy is 1/4, which is the ratio of the lengths of corresponding sides in the copy and the original.
When a polygon is scaled, each side is multiplied by the same factor to create the corresponding side in the smaller copy. The scale factor is the ratio of the lengths of corresponding sides in the copy and the original.
Let's denote the scale factor as k. In this case, we are given that the smaller copy is a scaled version of the original, so the lengths of corresponding sides in the copy and the original are related by the scale factor:
[tex]Scale\ factor\ \(k = \frac{\text{Length of corresponding side in copy}}{\text{Length of corresponding side in original}}\)[/tex]
Given that the scale factor [tex]\(k = \frac{1}{4}\)[/tex], it means that each side in the smaller copy is one-fourth the length of the corresponding side in the original.
For example, if the original H-shaped polygon has a side of length 5 units, the corresponding side in the smaller copy would be [tex]\(5 \times \frac{1}{4} = 1.25\)[/tex] units.
This process applies to all sides of the original H-shaped polygon, and each side's length is multiplied by the scale factor to get the corresponding side length in the smaller copy.
So, the scale factor that takes the original H-shaped polygon to its smaller copy is indeed 1/4), which represents the ratio of the lengths of corresponding sides in the two polygons.
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find locus of a point which moves so that
it's distance from the point (2,1) is double its distance from (1,2)
Answers
Answer:
hi,
Step-by-step explanation:
Let say P=(x,y) a point of the locus
[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]
[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]
Locus is the circle of center (2/3,7/3) and radius =2√2 /3.
The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?
O length = 19; width = 18
O length = 22; width = 15
O length = 20; width = 17
O length = 21; width = 16
O None of these choices are correct.
Answers
Answer:
None of these choices are correct.
Step-by-step explanation:
75 = perimeter
f(x) = -3x2 + 3x + 7
Find f(8)
Answers
Answer:
f(8) = -161
Step-by-step explanation:
f(x) = -3x^2 + 3x + 7
f(8) = -3(8)^2 + 3(8) + 7
f(8) = -192 + 24 + 7
f(8) = -161
pls hello ASAP 3/4+(2 1/2)
Answers
Answer:
Step-by-step explanation:
Can someone explain how this equation is solved? I have it already solved but I don't understand how the outcome is got but here is the problem.
Selling price=(1+r)(original cost)
63=(1+r)(42)
1.5=1+r
r=0.5
How did we go from that first part of the problem to the second; what was done exactly?
Answers
Then 63/42
Then 1.5-1
What is the quotient of 8,595 ÷ 24?
Answers
Hey there!
The quotient of 8595 ÷ 24 would be 358.125.
Hope this helps!
Have a great day!
Pls help ASAP for 15 point
Answers
Answer:
[tex] \sqrt{ - 17 } \\ 20\% \\ 1 \times \frac{1}{2} \\ \sqrt{17} \\ 8[/tex]
Which polygon has two sets of parallel sides?
A. Which polygon has two sets of parallel sides?
A.
B.
C.
D.
B.
C.
D.
Answers
Answer:
No. D
please mark me as brainliest please
Answer:
The trapezoid.
(it's the third picture)
Write the explicit rule of the sequence -1/3, -1 2/3, -3, -4 1/3
Answers
Answer:
-1 1/3
Step-by-step explanation:
You can see that if you subtract 1 1/3 from -1/3, you get -1 2/3, and so on
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
round 387.869911589to 3 decimal places
Answers
387.870
You have to add the zero in order to round it to three places
Simplify square root of -200
Answers
Answer:
14.1421356i
Step-by-step explanation:
hope it helps
What is the amplitude of sin ?
Answers
You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.
Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.
For sine function, can be written as:
[tex] \displaystyle \large{ y = A \sin(bx - c) + d}[/tex]
A = amplitudeb = period = 2π/bc = horizontal shiftd = vertical shiftI am not able to provide an attachment for an easy view but I will try my best!
We know that amplitude or A is a distance from baseline/midline to the max-min point.
Let's see the example of equation:
[tex] \displaystyle \large{y = 2 \sin x}[/tex]
Refer to the equation above:
Amplitude = 2b = 1 and therefore, period = 2π/1 = 2πc = 0d = 0Thus, the baseline or midline is y = 0 or x-axis.
You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.
So to conclude or say this:
If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.
Use the substitution method to solve the system of equations. Choose the correct ordered pair. y=6x-4 y=7x-7 A. (4, 18) B. (5, 9) C. (3, 14) D. (2, 11)
Answers
Answer:
C (3,14)
Step-by-step explanation:
y=6x-4
y=7x-7
6x-4=7x-7
-x=-3
x=3
y=6*3-4=14
How to do this? Please help
Answers
Step-by-step explanation:
This equations are quadratic equations, which is on standard form,
[tex] {ax}^{2} + bx + c[/tex]
where a is the leading coefficient, b is the second coefficient, and c is the constant.
Both a and b are in quadratic equation so we need to find the constant separately.
Both sides are equal to zero so we can just subtract the terms not containing a or b in them to the opposite side.
[tex] {x}^{2} - 4 x + a = 0[/tex]
[tex] {x}^{2} + a = 4x[/tex]
[tex]a = - {x}^{2} + 4x[/tex]
For b,
[tex]2 {x}^{2} - 6x + b + 7 = 0[/tex]
[tex] - 6x + b + 7 = - 2 {x}^{2} [/tex]
[tex]b + 7 = - 2 {x}^{2} + 6x[/tex]
[tex]b = - 2 {x}^{2} + 6x - 7[/tex]
8.
If TU = 23 and TV = 5x + 6, then x = ?
23
+
+
U
sxto
10
If PQ = 6x - 1 and PR = 15x - 29,
Answers
Answer:
17/5
Step-by-step explanation:
23=5x+6
23-6=5x
17=5x
X=17/5
The value of x in the line segment TV is 8 units.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
According to the question a line segment TV is given which is of 5x + 6 units.
TU is also given which is 23 units.
U is the midpoint of TV this implies that UV is also 23 units.
Now, we know that TV = TU + UV.
5x + 6 = 23 + 23.
5x + 6 = 46.
5x = 46 - 6.
5x = 40.
x = 40/5.
x = 8 units.
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According to the table. what is the ratio of pattern 2 to pattern 1?
A) 1/4
B) 1/2
C) 2/1
D) 1
Please answer QUICK
Answers
Answer:
1/2.
Step-by-step explanation:
When pattern 2 is 2, pattern 1 is 4 so its 2/4 = 1/2.
30POINTS
Two functions, A and B, are described as follows:
Function A
y = 8x + 3
Function B
The rate of change is 1 and the y-intercept is 4.
How much more is the rate of change of function A than the slope of function B?
1
7
8
9
Answers
The value of the 7 in 37,560 is blank the value of the 7 and 4,720
Answers
Answer:
The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.Step-by-step explanation:
In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
PLEASE show all work!!!
If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?
Answers
The base of the rectangle , b = 28 cm
The area of the rectangle , A = 588 cm^2
Therefore , the height of the rectangle , h = A/b
=588/28 cm = 21 cm .
Evaluate the equation.
193b = 212.3
A. b = 40,973.9
B. b = 40,873.9
C. b = 1.1
D. b = 0.9
Answers
Answer:
C
Step-by-step explanation:
193b=212.3
193b/193=212.3/193
(divide by 193 to get the value of b)
193 cancels 193
b= 1.098445596
(round off to one decimal place)
b=1.1
Hope its helps ❤️
20. Your friend says the absolute value equation |2x + 9 + 7 = 3 has two solutions
because the constant on the right side of the equation is positive. Is your friend
correct? Explain.
Answers
This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.
In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.
Thus, the friend is not correct.We are given the equation;
|2x + 9| + 7 = 3
Now when dealing with absolute values, it means that the solution is either positive or negative.
For example;
|x| = 5 means that x = +5 or -5
Thus in this question, let us first of all simplify the equation to get;
|2x + 9| = 3 - 7
|2x + 9| = -4
From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.
Thus, the friend is not correct.
Read more here; brainly.com/question/12928519
type the correct answer rounded to the nearest ten dollars
Answers
Answer:
$120.00
Step-by-step explanation:
brainliest please