The person that will finish the series first is;
Ravi will finish first, because even though Manish has read more as of today, Ravi reads faster overall.
How to interpret Linear Equation Problems?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Total pages manish has read as at today = 544 pages
He reads at the same pace and after 8 days he has read 928 pages. Thus, the equation that represents the number of pages that Manish has read is; 928 = 8m + 544
922 - 544 = 8m
m = 378/8
m = 47.25
Thus, his rate is 47.25 pages per day
The equation for Ravi is y = 51x + 594
This shows a rate of 51 pages per day
Thus, Ravi will finish first
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Combine like terms, then simplify if need be.
4cx + cx – cx – cx + cx
Answer:
4cx
hope this helps
have a good day :)
Step-by-step explanation:
The cheerleader section is on the basketball court. Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards. How many square yards of floor space are taken up by one row of cheerleaders? Help!
Answer:
The area of the floor space is equal to 5.83 sq yards.
Step-by-step explanation:
Given that,
Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards.
We need to find how many square yards of floor space are taken up by one row of cheerleaders.
We know that, the area of a rectangle is given by :
A = lb
So,
[tex]A=\dfrac{7}{4}\times \dfrac{10}{3}\\\\A=5.83\ yards^2[/tex]
So, the area of the floor space is equal to 5.83 sq yards.
Find the missing side length.
a = 28 yards
b = 195 yards
c=
Answer:
197 yd
Step-by-step explanation:
28² + 195² = 38809
√38809 = 197
WZ and XR are diameters of circle C. The diagram is not drawn to scale.
Circle C is shown.
Radii are drawn from point C to point R at the right, point Z at the upper right, point Y at the upper left, point X at the left, and point W at the lower left.
Angle Y C Z measures 112 degrees.
Angle X C W measures 63 degrees.
Points X, C, and R are all on the horizontal diameter of the circle.
What is the measure of convex arc upper Z upper W upper X?
A. 355º
B. 5º
C. 292º
D. 243º
The measure of convex arc upper Z is 243⁰ Option D
How to find the measure of the angle?We should be aware that a convex angle is the angles that are irregular in nature
Assume that the radius of the given circle is r.
The central angle of the lower arc ZWX = 41+180 = 221⁰
Note that then central angle of the upper arc ZWX = 360- 221⁰
This implies that the central angle of the upper arc ZWX = 360-221 = 139⁰
Recall that Lenght of arc = A/360 *2*π*r
Where A is the angle made by the radii, r= radius of the circle
Arc length of upper ZWX:
Arc length of upper ZWX = 139π/180*r
Arc length of upper ZWX = 139πr/180
The lenght is (139*22)/ 180*7
= 3058/2360
= 245⁰
In conclusion the measure of the convex upper is 245⁰
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On the first part of a journey, a motorcyclist travels for 3 hours at an average speed of 80 km per hour. On the second part of a journey, the same motorcyclist travels for 90 minutes at an average speed of 90 km per hour. How far does the motorcyclist travel in total?
Answer:
375 km
Step-by-step explanation:
distance = speed * time
3 hours at an average speed of 80 km per hour
distance = 3 * 80 = 240 km
90 minutes at an average speed of 90 km per hour
90 min = 1.5 hours
distance = 1.5 * 90 = 135 km
Total distance = 240 + 135 = 375 km
Find a basis for the eigenspace corresponding to the eigenvalue. 2-6 Al La 2 = 11 9 A basis for the eigenspace corresponding to a = 11 is a (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed) Find a basis for the eigenspace corresponding to the eigenvalue of A given below. A= 3 02 0 4,2 = 2 2 -3 3 A basis for the eigenspace corresponding to a = 2 is O. (Use a comma to separate answers as needed.)
A basis for the eigenspace corresponding to a = 11 is (1, -2, 0) and a basis for the eigenspace corresponding to a = 2 is (0,1,1).
An eigenspace is the set of all vectors that are multiplied by a matrix and remain unchanged. In this case, the eigenspace is the set of all vectors that when multiplied by the matrix A will result in a vector with a scalar multiple of the eigenvalue. The eigenvalue is found by solving the characteristic equation, which is the determinant of the matrix minus the eigenvalue multiplied by the identity matrix.
For the matrix A, the eigenvalues are 11 and 2. The corresponding eigenspace for each eigenvalue is then found by solving the homogeneous system of equations. For a = 11, the solution to the system is (1, -2, 0) and for a = 2, the solution is (0,1,1). Both of these vectors form a basis for the corresponding eigenspaces.
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15 points, I will give the brain award thing if u answer correctly. A triangle has sides with lengths of 2x - 9 ,5x - 3 and 2x -2. What is the perimeter of the triangle?
Is ratio a Mathematical Concept????
Answer:
Yep!
Step-by-step explanation:
PLEASE HELP!! WILL GIVE BRAINLIEST
What is the y-intercept of the line that goes through the points (5, -8) and (9, -12)
Answer:
-3
Step-by-step explanation:
Given the points, we can see that as x increases by 4, y decreases by 4, which means the slope is -1. Working backwards from (5, -8), we can decrease x by 5 (and thus increase y by 5, since we're subtracting a negative) and add that to -8 to find the y-intercept = -3
What is the slope of the line
Answer:
-3
Step-by-step explanation:
Is the second side “WY and ZY” or the other way around?
Answer:
yes it's wy =zy you may write it
which type of triangle has three sides that are the same length?
Answer:
an equilateral triangle
hello!!!! please help me with this- i will you give brainlist :]
The completed blanks in the statement are underlined as follows
Standard form: x⁶ + 53x⁵ + 2x⁴ - 2The degree is 6 . The leading coefficient is 1This is called a polynomial because it has 4 termsHow to complete the blanks in the statementFrom the question, we have the following parameters that can be used in our computation:
A mathematical expression
The mathematical expression is given as
2x⁴ + 53x⁵ - 2 + x⁶
The standard form
To do this, we rearrange the expression from the highest power to the least
So, we have the following representation
x⁶ + 53x⁵ + 2x⁴ - 2
The degree
This is the highest power in the expression
So, the degree is 6
The leading coefficient
This is the coefficient of the term that has highest power of x
So, the leading coefficient is 1
The name of the expression
The expression has 4 terms
So, the name is a polynomial
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True or False? A rectangle's area is found by adding the length of the sides and its perimeter is found by multiplying the base by the height.
Answer: The Answer is false!
Step-by-step explanation:
The area of a rectangle is found by multiplying the length by the width.
hello please help i’ll give brainliest
pangaea
the world was a giant landmass millions of years ago that was called pangaea
How to solve thiss??
Answer:
Can I see the photo please
Step-by-step explanation:
someone please help, solve for X
Answer:
tan70 = x/6 ---> x = 6tan76 = 24.1
question is in the photo, please provide explanation as well
Does the point (2,-1) lie on the line
y=3-2x?
Answer:
yes
Step-by-step explanation:
the line passes through that point.
Answer:
yes
Step-by-step explanation:
Here, x=2 and y=-1
If these points lie on the line y= 3-2x,then they must satisfy the equation of the line (also mean they must be equal)
So on solving the equations putting the value of x and y, we get
y=3-2x
or,-1=3-2*2
or,-1=3-4
Therefore, -1=-1
Can someone help me out with this my grade are bad
Answer:
(4, 3)
Step-by-step explanation:
hope this helps :)
what is the answer to 415÷23
Answer: 18
Step-by-step explanation:
Answer: 18.04347826086957
Step-by-step explanation: you could use a calculator too-
Find the greatest common factor of $144$ and $405$.
Answer:
Step-by-step explanation:
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
Find the prime factorization of 405
405 = 3 × 3 × 3 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 3
Answer = 9
The moon orbits earth at 384400km. The distance from earth to the sun is 149600000km. The diamiter of the sun is 1391000km. What would the diamiter of earth have to be to appear the same size as the sun from the moon if the celestial objects are in the order shown here : Sun, earth, moon.
Answer:
The diameter of Earth that would appear the same size as the Sun from the Moon is approximately 54304839.858 kilometers
Step-by-step explanation:
To find the diameter of Earth that would appear the same size as the Sun from the Moon, we need to know the distance from the Moon to the Sun and the distance from the Moon to Earth.
Since the distance from the Moon to the Sun is much greater than the distance from the Moon to Earth, the angle subtended by the Sun at the Moon will be much smaller than the angle subtended by Earth at the Moon.
Therefore, the size of Earth as seen from the Moon will be much larger than the size of the Sun as seen from the Moon.
To find the ratio of the size of Earth to the size of the Sun as seen from the Moon, we can use the formula:
size ratio = (distance to Earth / distance to Sun) x (Sun's diameter / Earth's diameter)
Substituting in the given values, we get:
size ratio = (384400km / 149600000km) x (1391000km / Earth's diameter)
Simplifying, we get:
size ratio = 0.00257 x (1391000km / Earth's diameter)
To find the diameter of Earth that would appear the same size as the Sun from the Moon, we need to solve for Earth's diameter. Dividing both sides of the equation by 0.00257, we get:
Earth's diameter = (1391000km / 0.00257) = 54304839.858km
Therefore, the diameter of Earth that would appear the same size as the Sun from the Moon is approximately 54304839.858 kilometers.
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If the number 4 is placed at the right end of a two-digit number BC, the value of the three-digit number thus formed is 247 more than BC. What is the original two-digit number BC?
Answer:
Thus, 40 ÷ 4 = 10 more tables are needed in between the two end tables. ... Let's list all 4 × 3 = 12 possible two-digit numbers that can be made from the four digits ... There are 3 ways to place a 4 and a 1 next to each other; as the first two digits, the middle ... Suppose we extend sides AD and BC to intersect at E, as shown.
Step-by-step explanation:
Find P (Senior Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman 4 48
Sophomore 5 7 12
Junior 2
35
Senior 1
4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.
Answer:
2/9
Step-by-step explanation:
senior girls/girls = 4/18 = 2/9
Answer:
2/9
Step-by-step explanation:
Which statement BEST explains why the slope of each line segment formed by the hypotenuse of each triangle is the same?
A)
The triangles are similar.
B)
The triangles are congruent.
C)
The triangles share a point.
D)
The triangles are right triangles.
Answer:
A
Step-by-step explanation:
Two triangles can be similar if their leg lengths are in proportion with each other, regardless of size. Since the triangles are the same in different sizes, they are similar. The hypotenuse of the triangles isn't the same, but the angles are the same, so the hypotenuse will still follow the same line.
can someone please help ( check link for question )
Hence, The equation of the line is y=5x/3-3
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The line 3x+5y=15 , Rearranging in the slope intercept form we get y=-3x/5+3 and thus slope of the line that is perpendicular to this line must be equal to 5/3 and it passes through (3,2) then we get the equation of the line as y=5x/3+c and putting (3,2) in the equation we get the value of c as c=-3
∴ The equation of the line is y=5x/3-3
Hence, The equation of the line is y=5x/3-3
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Find the percent of the number, 20% of 60 is?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
How do you decide which technique to use when solving an equation?
Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.
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3 gal 2 c = ___ fl oz
Answer:
128 fl oz
Step-by-step explanation: