Answer:
Shyam's mark: 58
Ram's mark: 46
Step-by-step explanation:
r = s - 12 (r is for Ram and s is for Shyam) for this example:
(1/2)(r - 12) = s + 11
This is because Shyam would have beaten by 11 marks.
(r - 12) + (1/2)(r - 12) = s + 11
2(r - 12) + (r - 12) = 2(s + 11)
2r - 24 + r - 12 = 2s + 22
r = 22 + 24 + 12
s = 58
r = 58 -12 = 46
Hope this helps!
Find the converse of this statement: "If there is a given line then there is only one line parallel to it"
Answer:
"If there is only one line parallel, then there is only one given line."
Step-by-step explanation:
The general form of an if-then statement is:
p → q
This implies that: "if p, then q".
Then the converse of this statement is:
q → p
This implies that: "if q, then p".
The statement here is:
"If there is a given line, then there is only one line parallel to it"
The converse of this statement will be:
"If there is only one line parallel, then there is only one given line."
The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?
Answer:
-7/2 and 2
Step-by-step explanation:
First we move the 19 to the left side
2x^2 + 3x + 5 = 19 becomes 2x^2 + 3x - 14 = 0
Now we can factor this into (2x+7)(x-2) = 0
input values are -7/2 and 2
4/5 ÷0.6+1 3/5 · 1/6 calculate
Answer:
The answer is 8/5
Hope this helps.
Answer:
the answer is 0.48888888888.
Step-by-step explanation:
first you multiply all the numbers need to be multiplied and then you add the numbers needed to be added and the lastly solve the whole expression.
Which points are on the perpendicular bisector of the given segment? Check all that apply. (−8, 19) (1, −8) (0, 19) (−5, 10) (2, −7)
Answer:
−8, 19
1, −8
-5, 10
Step-by-step explanation:
The points that are on the perpendicular bisector of the given segment is (-5, 10)
What is the perpendicular bisector?Perpendicular bisector is defined as a line that divide an angle into two equal parts at 90 degrees.
The standard equation of a line in point-slope form is expressed as
y-y₁ = m(x-x₁)
First, we need to get the equation of the line using the coordinates (-20, 0) and (10, 15)
Get the slope of the line
m = 15-0/10-(-20)
m = 15/30
m = 1/2
The slope of the line perpendicular to the line is -2
Using the point (-5, 10) on the line, get the equation in the point-slope form:
y - 10 = -2(x + 5)
y - 10 = -2x - 10
y + 2x = -10 + 10
y + 2x = 0
y = -2x
To check which points are on the perpendicular bisector of the given segment, hence;
For the coordinate (-8, 19)
19 = -2(-8)
19 ≠ 16 (This is not a solution)
For the coordinate (1, -8)
-8 = -2(1)
-8 ≠ -2 (This is not a solution)
For the coordinate (-5, 10)
10 = -2(-5)
10 = 10 (This is a solution)
Hence, the point that is on the perpendicular bisector of the given segment is (-5, 10)
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In triangle ABC, AX = XY = YB = BC and the measure of angle ABC is 120 degrees. What is the number of degrees in the measure of angle BAC?
Answer:
the number of degrees=2
Answer:
15
Step-by-step explanation:
Let t be the number of degrees in the measure of angle BAC (which is what we want to compute).
Since AX=XY, we have AYX = YAX = BAC = t. Then, since the sum of angles in triangle AXY is 180, we have AXY = (180-2t).
Angles AXY and BXY add to form a straight angle, so they are supplementary; BXY = (180-(180-2t)) = (2t).
Since XY=YB, we have XBY = XY = (2t). Since the sum of angles in XYB is 180, we have XYB = (180-4t).
Angles AYX, XYB, and BYC add to form a straight angle, so their sum is 180. Therefore, BYC = (180-t-(180-4t)) = (3t).
Since YB=BC, we have YCB = BYC = (3t). Since the sum of angles in YBC is 180, we have YBC = (180-6t).
Finally, ABC = XBY + YBC = (2t) + (180-6t) = (180-4t). We know this is equal to 120, so we solve the equation 180-4t = 120 to obtain t=15.
which of the following is equal to the rational expression when x ≠ -1 or -7
Answer:
A.
Step-by-step explanation:
When you simplify the equation down by getting rid of (x + 1) (and that creates a hole in the graph), you should end up with A as your answer.
what is the answer to 300x1000
Answer:
300000
Step-by-step explanation:
Times 1000=add 3 0's
Answer:
300000
Step-by-step explanation:
Put all the zeros together when you times them numbers
I need help on this question. Does the average person live for at least 1,000,000 days?
Answer: No
Step-by-step explanation: There are 365 days in a year. 1,000,000 days divided by 365 equals around 2739 years. Nobody can live that long so, no.
Answer:
The answer would be no, and the average person wouldn't live for at least 1,000,000 days because that would be too much.
1 million days is about like 2,000-3,000 years.
No one can live that long.
Hope this helps.
\(^ヮ^)/
The standard form of the equation of a circle is (x−4)2+(y−2)2=9. What is the general form of the equation? x2+y2−8x−4y+11=0 x2+y2+8x+4y+11=0 x2+y2−8x−4y−29=0 x2+y2+8x+4y−29=0
The general form of the equation of the circle will be x² + y² − 8x − 4y + 11 = 0.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The standard form of the equation of a circle is (x − 4)² + (y−2)² = 9
Then the general form of the equation of the circle will be
x² + 4² − 8x + y² + 2² − 4y = 9
x² + y² − 8x − 4y + 20 = 9
x² + y² − 8x − 4y + 11 = 0
Then the correct option is A.
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here are two squares A and B. The length of the side A is 50% of the length of the side square B. Express the area of the shaded region of square A as a percentage of the area of square B.
Please answer quickly!!
Answer:
12.5%
Step-by-step Explanation:
==>Given:
Square A side length = 50% Square B side length
Area of Square A that is shaded = ½ of the area of Square B
==>Required:
Area of shaded region of Square A as a % of Area of Square B
==>Solution:
Let "b" be the side length of Square B
Let "a" be the side length of Square A
Since we are told that the side length of Square A (a) = 50% of side length of Square B (b), thus we have,
a = ½b
==>Let's find the area of Square A and Square B:
Area of a square = s², where s = side length
Area of Square A = (½b)² = b²/4
Area of Square B = b²
==>Let's find the area of the shaded region of the Square A = ½ of area of Square A.
Thus,
Area of shaded region of Square A = ½*(b²/4) = b²/8
==>Let's express the area of the shaded portion of square A as a percentage of are of Square B:
Thus, Area of shaded portion of Square A ÷ Area of Square B × 100%
[tex] = \frac{\frac{b^{2} }{8} }{b^{2} } * 100 [/tex]
[tex] = \frac{b^{2} }{8} * \frac{1}{b^{2} } * 100 [/tex]
[tex] = \frac{b^{2}*1 }{8*b^{2} } * 100 [/tex]
[tex] = \frac{b^{2} }{8*b^{2} } * 100 [/tex]
[tex] = \frac{1}{8} * 100 = 12.5 [/tex]
The area of the shaded region of Square A is 12.5% of the area of Square B.
enter the correct value so that the expression is a perfect square trinomial x^2 - 10x +
Answer:
25
Step-by-step explanation:
The correct value can be calculated by doing (b/2)²
In this expression, it would be (-10/2)²
Which equals 25
Answer:
x^2 -10x+25
Step-by-step explanation:
Take the coefficient of x
-10
Divide by 2
-10/2 =5
Square it
5^2 =25
Add this to make a perfect square trinomial
x^2 -10x+25
A line passes through the point(8,-6) and has a slope of-5/4 . Write an equation in point-slope form for this line.
Answer:
y+6 = -5/4(x-8)
Step-by-step explanation:
The point slope form of the equation of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y --6 = -5/4 ( x - 8)
y+6 = -5/4(x-8)
rewrite 2^4=16 as a logarithmic equation
Answer:
The 1st option
Step-by-step explanation:
The base of a logarithm is always the base of an exponent. The log of part would always be the final powered form of the exponent. So, 2 would be the base, 16 would be logged, and 4 would be your answer.
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Which expression is equivalent to (150x-80y+ 50-50x-25y+20)?
20x-214+ 14
20x+ 11y + 14
20x-11y+6
20x+21y+6
Answer:
20x+21y+14
Step-by-step explanation:
Combine like terms:
150x-80y+50-50x-25y+20=
100x-80y+50-25y+20=
100x-105y+50+20=
100x-105y+70
100x-105y+70 can be divided by 5 and get 20x+21y+14.
Answer:a
Step-by-step explanation:
Brittany uses the rowing machine and the stair machine at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
After 5 minutes of stretching, Brittany will exercise for 30 minutes, dividing her time between the two types of machines.
Brittany will spend three times as much time on the stair machine as on the rowing machine.
Write an equation.
Answer:
The equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
Step-by-step explanation:
We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.
Let the time spend by Brittany on the stair machine be represented by the variable [tex]x[/tex].
and the time spend by Brittany on the rowing machine be represented by the variable [tex]y[/tex].
Now, there are two conditions stated by her trainer;
The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;[tex]x + y = 30 \text{ minutes}[/tex]
The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;[tex]x = 3y[/tex]
So, the equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
These equations can be solved either using the substitution method or the elimination method.
terrace buys a new car for 20,000 the value of the car depreciates by 15% each year if f(x) represents the value of the car after x years which function represents the care value
Answer:
f(x)= 20,000[tex](0.85)^{x}[/tex]or 20,000 (0.85) to the power of x.
Step-by-step explanation:
Okay, so based on the question, we know that the car is depreciates its value every year. In case you don't know, when something depreciates, it is becoming smaller or less in value. It comes to a point where the item becomes worthless. Recall, that the formula for an exponential function is y= a(b) to the power of x. A is your initial value or your y-intercept. B is the multiplicative rate of change. Lets put 20,000 for a because that is value of the car that terrace purchased before any depreciation happened. Since it says that it is decaying every year, we don't want to graph how much it is decaying, we want to graph what the value is of the car. So, do 100 percent minus 15 which is 85 percent. You need to change it into decimal, so it is 0.85. Therefore, there is your function.
Hope this helps!
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase? 1.29x + 0.85y < 5 1.29x + 0.85y > 5 0.85x + 1.29y > 5 0.85x + 1.29y < 5
Answer:
0.85x + 1.29y < 5
Step-by-step explanation:
0.85x of potatoes
1.29 y of grapes
0.85x+1.29y<5 is required equation
Inequality represents purchase of x pounds of potatoes for [tex]$0.85[/tex] per pound and y pounds of grapes for [tex]\$1.29[/tex] per pound with total cost was less than [tex]\$5[/tex] is equal to [tex]0.85x + 1.29y < 5.[/tex]
What is linear inequality?" Linear inequality is defined as the relation between variables with highest exponent one is related with sign of inequality >, < , ≤, ≥."
According to the question,
'x' pounds represents the weight of potatoes
'y' pounds represents the weight of grapes
Cost of potatoes per pound = [tex]\$0.85[/tex]
Cost of grapes per pound = [tex]\$1.29[/tex]
Total cost used to purchase the items = [tex]\$5[/tex]
Substitute the values to represents the relation of linear inequality,
[tex]0.85x + 1.29y < 5[/tex]
Hence, linear inequality represents Dan purchase is [tex]0.85x + 1.29y < 5.[/tex]
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Stephanie saw in an ad in the paper that her favorite kind of perfume was I feel for 25% off if the sale price was $15 what was the original price of the perfume
Answer: $20
Step-by-step explanation:
Here os the correct question:
Stephanie saw in an ad in the paper that her favorite kind of perfume was on sale for 25% off. If the sale price was $15, what was the original price of the perfume?
Let the original price of the perfume be y.
Since we are told that 25% is off, that means that 25% has been deducted from the original price. This can be written as:
y - (25% of y) = $15
y - (25/100 × y) = $15
y - 0.25y = $15
0.75y = $15
Divide both side by 0.75
0.75y/0.75 = $15/0.75
y = $20
The original price of the perfume is $20
Find the value of x. 5x+18+2x=5
Answer: x=-1.9
Step-by-step explanation:
[tex]5x+2x=7x[/tex]
[tex]7x+18=5[/tex]
-18 on both sides
[tex]7x=-13[/tex]
divide 7 on both sides
[tex]x=-1.9[/tex]
Answer
X=-1.9solution
[tex]5x + 18 + 2x = 5 \\ or \: 5x + 2x + 18 = 5 \\ or \: 7x + 18 = 5 \\ or7x = 5 - 18 \\ or \: 7x = - 13 \\ \: x = - \frac{13}{7} [/tex]
X=-1.9
hope this helps..
Good luck on your assignment...
Suppose the graph of a cubic polynomial function
has the same zeroes and passes through the
coordinate (0, -5).
Write the equation of this cubic polynomial
function
Recall that the zeroes are (2.0), (3, 0), and (5,0).
What is the y-intercept of this graph?
-5
-2
3
5
negative five point zero
Answer:
A) -5Step-by-step explanation:
I got the answer right on Edge 2021. Hope this helps!
plz help!! marking brainiest!! (btw jus to clarify, i dont have three questions, they're jus graphs)
Answer:
c
Step-by-step explanation:
Find the 98th term of the arithmetic sequence 14, 10, 6, ...
Answer:
-374
Step-by-step explanation:
We know that a₁ = 14 and the common difference = -4 so the explicit rule is aₙ = 14 + (n - 1) * (-4) = -4n + 18. a₉₈ = -4 * 98 + 18 = -374.
Answer:
Brainliest!!!!
Step-by-step explanation:
the equation is this...
y = -4x + 14
97 x -4 = -388
-388 + 14 = -374
you might wonder why I did 97... that is becuase 14 is the first term
A solid right pyramid has a square base. The length of the base edge is 4cm and the height of the pyramid is 3cm. What is the volume of the pyramid?
12cm^3
16cm^3
32cm^3
48cm^3
Answer:
lxbxd or lxhxb
Step-by-step explanation:
Write a compound inequality that represents the situation. All real numbers are at least -6 and at most 3
Answer:
{x ∈ ℝ | -6 ≤ x ≤ 3}
Step-by-step explanation:
For a real number x, numbers that are at least -6 are ...
x ≥ -6
and numbers that are at most 3 are ...
x ≤ 3
This can be written as a compound inequality with x in the middle as ...
-6 ≤ x ≤ 3 . . . . x is a real number
Rearrange to make x the subject
Answer:
[tex]x = \frac{3t}{b} [/tex]
Which letter on the diagram below represents the name of the circle?
Answer: (b) A
Step-by-step explanation:
A: the center of the circle
B: the diameter of the circle
C: the radius of the circle
D: not sure, could be the perimeter
Circles are named by their center, so this is named "Circle A".
A shipping company charges a flat rate of $3 and 1 cent for every mile traveled. Which of the following functions relates the total cost and distance traveled
Answer:
Step-by-step explanation
Answer:
Y=3+.01X
Step-by-step explanation:
Which pair of expressions is equivalent using the Associative Property of Multiplication? 6(4a ⋅ 2) = 24a ⋅ 12 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2 6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
Answer:
6 6(4a ⋅ 2) = 6 ⋅ 4a
Step-by-step explanation:
I think it is but i am not sure
Answer:
D
Step-by-step explanation:
6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
Which equations are correct? Select each correct answer.
Answers:
Option two, 5[tex]y^{4}[/tex](2[tex]y^{5}[/tex]) = 10[tex]y^{9}[/tex] and option 4, 5[tex]x^{3}[/tex](6[tex]x^{4}[/tex]) = 30[tex]x^{7}[/tex]
Step-by-step explanation:
O1 + O3 = incorrect, the powers have been multiplied together. Laws of indices suggest that if you are multiplying powers together, you must add them, not do 4 x 5 or 2 x 2.
Please remember:
2y squared x 3y cubed = 6y to the power 5
Answer:
Solution(s) : Option # 2 and # 4
Step-by-step explanation:
One quick way to identify which solutions are accurate would be adding the exponents of the terms provided ( b, y, c etc ). As you can see in each example two expressions are being multiplied, and hence the exponents of each term are being added.
Therefore the second and fourth example are correct, as 4 + 5 = 9, the co - efficient of y. And 3 + 4 = 7, the co - efficient of x.
Check :
[tex]5y^4\left(2y^5\right)[/tex] = [tex]5\cdot \:2y^{4+5}[/tex] = [tex]5\cdot \:2y^9[/tex] = [tex]10y^9[/tex]
[tex]5x^3\left(6x^4\right)[/tex] = [tex]5\cdot \:6x^{3+4}[/tex] = [tex]5\cdot \:6x^7[/tex] = [tex]30x^7[/tex]
What is the value of x? [PART 2] A.285˚ B.105˚ C.75˚ D.15˚
Answer:
x = 17
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
5x-18 + 4x+45 = 180
Combine like terms
9x +27 = 180
Subtract 27 from each side
9x+27-27 =180-27
9x =153
Divide by 9
9x/9 = 153/9
x =17