Answer:
I think it would be 1/3 as 20+40=60 and 20 is 1/3 of what
Answer:
20\40= 0.5 is 1\2
Bonjour !
Please solve My maths problem.
If X = 2y +6, then find the value of x³ - 8y³ - 36xy -216.
Hint - answer is 0
Kindly Show steps
I desperately need help with this question.
Correct person will be appreciated and brainlist will be awarded
Irellevant answer won't be tolerated and will be reported immediately.
Thank you in. advance !
y = 1
Step-by-step explanation:
X = 2y + 6
X³ - 8y³ - 36xy - 216 = 0
(subsitute)
(2y + 6)³ - 8y³ - 36(2y + 6)y -216 = 0
(concentrate on first part)
(2y + 6)(2y + 6)(2y + 6)
(4y² + 12y + 12y + 36)(2y + 6)
(4y² + 24y + 36)(2y + 6)
8y³ + 24y² + 48y² + 144y + 72y + 216
(back to full equation)
8y³ + 72y² + 216y + 216 - 8y³ - 36(2y + 6)y - 216 = 0
(factor the last part)
-36(2y + 6)y
y(-72y - 216)
-72y² - 216y
(back to main equation)
8y³ + 72y² + 216y + 216 - 8y³ - 72y² - 216y - 216 = 0
(start to cancel out)
8y³ and -8y³ cancel
72y² + 216y + 216 - 72y² - 216y - 216 = 0
72y² and -72y² cancel
216y + 216 - 216y - 216 = 0
216y and -216y cancel
216 - 216 = 0
those cancel
0y = 0
add 1 to both sides
y = 1.
(I hope this helped)
can you help me solve this
PLEASE HELP DUE IN 1 HOUR :( I WILL GIVE CROWN TO BEST ANSWER
Ken is using tiles to cover a 6-foot by 3-foot section of a floor.
A. If he uses 1-foot square tiles, how many will be in each row of tiles?
B. How many rows of tiles will he use?
C. How many tiles will he use to cover the whole section?
6x+2y=2, y=-3x+1 substitution step by step???
Answer:
Answer below!
Step-by-step explanation:
since y = -3x + 1, you can just plug those numbers in on the first equation.
6x + 2(-3x+1) = 2 (see how I replaced y into -3x + 1)
then distribute 2.
6x - 6x + 2 = 2, subtract 2 to both sides
6x - 6x = 0, combine x
0 = 0 (this means it has an infinite amount of solutions)
What does on the top number line represent?
Answer:
The top line is a pure gross sales number showing how much revenue the company brought in for a given period.
The parenthesis are been used just as the absolute value signs. * 2 points Given the parent function f(x) = r, the function g(x) = (x - 1)3 - 2 is the result of a shift of f(x) (1) 1 unit left and 2 units down (2) 1 unit left and 2 units up (3) 1 unit right and 2 units down (4) 1 unit right and 2 units up 0 1 2 3 O 4
We know that every equation expressed in terms of x can be graph in an x-y plane, in this case the equation is
\(f(x)=x^3\)if we want to move it up or down we add or substract the quantity of unities we are moving it. If we want to move it down two unities we substract 2 on the whole equation:
\(x^3\Rightarrow x^3-2\)If we want to move it to the left or to the right we add or substract the quantity of unities we are moving it to the x term. If we add it means it is going to the left and if we substract it means it is going to the right. If we want to move it one unity to the right then we substract 1 from the x :
\(x^3\Rightarrow x^3-2\Rightarrow(x-1)^3-2\)Then, the function:
\(g(x)=(x-1)^3-2\)is the result of moving
f(x) = x³
1 unit to the right and 2 units down
Answer: 3how many ways are there of choosing 5 books from a shelf of 12, if you cannot choose two adjacent books?
There are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.
To solve this problem, we can use a technique called "complementary counting." First, let's find the total number of ways to choose 5 books from a shelf of 12. This is simply 12 choose 5, which is:
12! / (5! × 7!) = 792
Now, let's count the number of ways to choose 5 books from a shelf of 12 where two adjacent books are chosen. We can do this by treating the adjacent books as a single unit, and then choosing 4 more books from the remaining 11. This gives us:
11 choose 4 = 330
So, there are 330 ways to choose 5 books from a shelf of 12 where two adjacent books are chosen.
Finally, we can subtract this number from the total number of ways to choose 5 books to get the number of ways to choose 5 books where no two adjacent books are chosen:
792 - 330 = 462
Therefore, there are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.
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Plea/seee help!!I need the ans
Step-by-step explanation:
8 - 2 = 6
\(8 - 2 = 6\)
Give the domain and range of the relation.
The domain and the range of the given relation are respectively -3 < x < 4 & y = -5. So option B is correct.
What is Domain and Range ?The domain of a function is the set of all input values (which are known as independent variable) for which the function is defined and produces a valid output (dependent variable).
The range of a function is the set of all possible output values(dependent variable) of the function. It represents the set of all possible values of the dependent variable.
Given that,
A relation,
which is line segment,
It can be seen that the relation is valid only in the interval of -3 to 4 of x
and it is a constant parallel line and value of y is -5
So, the domain = (-3, 4)
the range = -5
Thus, the domain and range are (-3, 4) & -5
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What single line could you use to spec ify the orientation of the plane of the paper (i.e., so that someone else could hold the paper in the same, or in a parallel , plane)
To specify the orientation of the plane of a paper, the following single line can be used: "Hold the paper such that the plane of the paper is perpendicular to the direction of the gravity.
This means that if you hold the paper and drop a plumb line, the line should be parallel to the edge of the paper. This way, anyone can hold the paper in the same or a parallel plane, thus ensuring that the orientation is consistent.An alternate line to specify the orientation of the plane of a paper is: "Hold the paper such that the plane of the paper is parallel to the surface of the earth." This means that if you hold the paper and look at it from the top, the surface of the paper should appear to be parallel to the ground. By using either of these lines, one can specify the orientation of the paper's plane.
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What is 8+6+2+(-5) help me please thank you
Answer:
8 + 6 + 2 + ( - 5 )
8 + 6 + 2 - 5
16 - 5
11
Step-by-step explanation:
Evaluate
\( (4)\fract{ - 4}{2} \)
Answer:
-38
Step-by-step explanation:
Subtract 42 from 4 . Since 42 is negative so will the answer
Using the figure below, which table correctly lists the steps and reasons used to find the measure of angle d?
The correct option is (c).
(A) We know that sum of the interior angles of a triangle is equal to 180°.
m∠a + m∠b + m∠c = 180° (all three are interior angles)
(B) If the sum of two angles is 180°, that angle is called a supplementary angle. In other words, when two angles add to form a straight line, they are called supplementary angles.
m∠d + m∠c = 180° (both are in a straight line making an angle)
(C) Transitive properties help establish a connection by stating that if a = b and b = c, then a = c.
m∠a + m∠b + m∠c = 180°
m∠d + m∠c = 180°
Therefore, this property
We can say,
m∠a + m∠b + m∠c = m∠d + m∠c
(D) Subtraction equality properties: Subtraction equality properties indicate that subtracting or removing an equal value from two equal elements results in a new equal quantity.
The formula for this is if a = b, then a-c = b-c
In the question,
m∠a + m∠b = m∠d
Both ∠a and ∠b are two interior angles and the exterior angle is ∠d.
According to the exterior angle property of a triangle theorem, the sum of two opposite interior angles is equal to exterior angles.
Hence, this is also correct.
Therefore, the correct option is (c) which has the correct steps and reasons for the given question.
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a girl is standing at one corner of a snowy rectangular field that measures 100 ft by 100 ft, as drawn. she wishes to reach a warm cabin located at the diagonally-opposite corner of the field. suppose she trudges through the snow at 3 ft/sec to reach a point p at the other side of the field, then walks the remaining distance along a plowed road at 5 ft/sec to reach the cabin. in order to reach the cabin as quickly as possible, how far is point p from the cabin?
For Sally to reach the cabin fastest the distance from point P to the distance cabin at point C must be 25 ft
Let Sally be at point S and the cabin diagonal-opposite to her at point C. We need to find the distance between P and C such that Sally reaches the cabin the quickest. We know SX = 100ft
By Pythagoras' theorem
SX² + XP² = SP²
⇒100² + x² = SP²
⇒SP = √(100²+x²) (1)
speed = distance/ time
⇒ time = distance / speed
We need to minimize the time taken by sally
time taken to reach cabin t = (SP/3) + (PC/5)
⇒t = (SP/3) +(PC/5)
⇒t = (√(100²+x²) /3) + (PC/5)
⇒t = (√(100²+x²) /3) + (100-x/5)
⇒dt/dx = x/ (3*√(100²+x²)) -(1/5) = 0 (to minimize)
⇒5x = 3√(100²+x²)
⇒25x² = 9(100² + x²)
⇒16x² = 90000
⇒x²= 5625
⇒x = √5625
⇒x= 75 ft
Thus the distance from point P to cabin C = PC = 100 - x = 100-75=25 ft
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The Math Club wants to order t-shirts to recognize students who improved their performance in Algebra I for their hard work and effort. Hot Shirts charges $10 per shirt with a $15 set up charge. T-Shirt World charges $5 per shirt with a $50 set up charge.
Answer:
Cost of ordering t-shirts the same at both sides is 7
The cost is $85
Step-by-step explanation:
let x equal the number of tshirts
Hence:
15 + 10x = 50 + 5x
10x-5x= 50-15
5x = 35
35/5x
x = 7
Therefore the cost of ordering t-shirts the same at both sides is 7
The cost is $85
When four times a number n is decreased by 3 it’s at most 21
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
What is the measure of an interior angle of a 21-gon?162.86°90°360°3420°
Question:
What is the measure of an interior angle of a 21-gon?
Concept:
Define a 21-gon
A 21-gon is a 21 sided polygon also know as An icosikaihenagon
In the case of this polygon, the value of n is
\(n=21\)We will then calculate the sum of interior angles of a 21-gon and then divide the sum by the number of sides n...
Therefore,
The formula we will use to calculate the measure of an interior angle of a 21-gon is given below as
\(\begin{gathered} \text{meausre of an interior angle=}\frac{\text{sum of interior angles}}{\text{total number of sides}} \\ \end{gathered}\)The formula for the sum of interior angles is given below as
\(\text{sum of interior angle=(n}-2)\times180\)Hence,
We will have
\(\begin{gathered} \text{meausre of an interior angle=}\frac{\text{sum of interior angles}}{\text{total number of sides}} \\ \text{meausre of an interior angle}=\frac{(n-2)\times180^0}{n} \end{gathered}\)Step 2:
Substitute the value of n=21 in the formula above, we will have
\(\begin{gathered} \text{measure of an interior angle}=\frac{(n-2)\times180^0}{n} \\ \text{measure of an interior angle}=\frac{(21-2)\times180^0}{21} \\ \text{measureof an interior angle}=\frac{19\times180^0}{21} \\ \text{measure of an interior angle}=\frac{19\times180^0}{21} \\ \text{measure of an interior angle}=\frac{3420^0}{21} \\ \text{measure of an interior angle}=162.86^0 \end{gathered}\)Hence,
The final answer = 162.86°
Kelly is running a marathon that is 24 miles long. She has gone 4 miles in 32 minutes. How long will it take Kelly to run the entire marathon? Express your answer in hours. (Decimal answer)
Answer:
3.2
Step-by-step explanation:
32x6=192
192/60=3.2
Find the product of 0.3×0.23.
Answer:
0.069
Step-by-step explanation:
0.3*0.23=0.069
Josue is running intervals. If he runs high-speed intervals in 16 seconds, and low-speed intervals in 23 seconds, and he runs a combined total of 15 intervals in 4 minutes and 56 seconds, how many of each type of interval did he run?
Answer: He run 7 high-speed intervals and 8 low-speed intervals.
Step-by-step explanation:
Let x = Number of high-speed intervals.
y= Number of low-speed intervals .
He runs high-speed intervals in 16 seconds, and low-speed intervals in 23 seconds, and he runs a combined total of 15 intervals in 4 minutes and 56 seconds.
4 min 56 sec = (4(60)+56) sec = 296 sec [ 1 minute = 60 seconds]
According to the question , we have the following linear equations :
\(x+y=15\ ...(i)\\\\ 16x+23y=296\ ...(ii)\)
Multiply (i)by 16 , we get
\(16x+16y=240\ ...(iii)\)
Subtract (iii) from (ii)
\(7y=56\\\\\Rightarrow\ y=8\)
Put value of y in (i) , we get
\(x+8=15\Rightarrow\ x=7\)
Hence, he run 7 high-speed intervals and 8 low-speed intervals.
If f(x) = 3x - 5 and g(x) = 7x + 2, what is f(x) x g(x)
Answer:
21x + 1
Step-by-step explanation:
f[g(x)]
= f(7x + 2)
= 3(7x + 2) - 5
= 21x + 6 - 5
= 21x + 1
What is 900 times 900
Answer:
810000 is your answer
Step-by-step explanation:
9x9=81 and the 4 0's
John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck
Answer:
The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.
Step-by-step explanation:
I’m sorry if I didn’t help but the answer is not written out enough…
Malcolm trains on his kayak every weekend. He paddles upstream (against current) for 3 ½ hours and then returns downstream (with current) in 2hrs 6 minutes. If the river flows at 3km/ h, find:
* The paddling speed in still water
* The distance he paddles upstream.
If Malcolm trains on his kayak every weekend. The speed is 12km/h and the distance is 31.5km.
How to find the speed and distance?Let's call Malcolm's paddling speed in still water "v".
When paddling upstream, Malcolm is fighting the current, so his effective speed is v - 3 km/h. And when paddling downstream, his effective speed is v + 3 km/h.
The time it takes for him to paddle upstream= 3.5 hours
Distance he covers in this time = (v - 3) * 3.5.
The time it takes for him to paddle downstream = 2.1 hours
Distance he covers in this time = (v + 3) * 2.1.
Let set the sum of these two distances equal to each other and solve for v:
(v - 3) * 3.5 = (v + 3) * 2.1
Expanding both sides:
3.5v - 10.5 = 2.1v + 6.3
Subtracting 2.1v from both sides:
1.4v - 10.5 = 6.3
Adding 10.5 to both sides:
1.4v = 16.8
Dividing both sides by 1.4:
v = 12 km/h
So Malcolm's paddling speed in still water is 12 km/h. To find the distance he paddles upstream, we can use the formula (v - 3) * 3.5, which gives us:
(12 - 3) * 3.5 = 9 * 3.5 = 31.5 km
Therefore the distance Malcolm paddles upstream is 31.5 km.
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Use the cube at the right to write an expression to show how you can find the surface area of any cube.
Answer:
There is no attachment
Step-by-step explanation:
Oof bro
42x14.2 what is the answer and steps
Answer:
I hope this helps
A Yes, it is proportional because it is a line that intersects with the origin.
B Yes, it is proportional because the x-axis and y-axis are labeled correctly.
C No, it is not proportional because the line does not intersect with the origin.
D No, it is not proportional because the x-axis and y-axis are not labeled correctly.
Answer:
A Yes, it is proportional because it is a line that intersects with the origin.
Step-by-step explanation:
hii i’ll give brainliest please help thanks :)
Answer:
85
Step-by-step explanation:
Answer:
its 85
Step-by-step explanation:
You would like to buy a gaming system. The cost of the system is $500 and the
cost of internet access is $40 per month.
This question has no direct question, so here are some facts if you want them:
This equation can be expressed as a linear equation.
The equation can be expressed as: y =40x + 500
The y-intercept is 500, and the slope is 40.
If you type in a graphing website like desmos, then you can actually graph the line if you wanted (or needed) to.
I'm not really sure what the question is, but maybe if you needed help, here you go.