The average, or mean, D, of three exam grades, x, r, and v, is given by the
following formula.
X+r+V
D
3
(a) Solve the formula for v.
(b) Use the formula in part (a) to solve this problem. On your first two exams, your
grades are 85% and 86%: x=85 and r= 86. What must you get on the third exam
to have an average of 90%?
(a) The formula is v= 3D-x-r.
(b) The answer is.
Answers
Answer:
v = 3D - x - r
99%
Step-by-step explanation:
D = (x + r + v)/3
x + r + v = 3D
v = 3D - x - r
(b) When x = 85, r = 86 and D = 90%:
v = 3*90 -85 - 86
= 270 - 171
= 99.
Related Questions
Two airplanes are flying in the air at the same height. Airplane A is flying east at 200 mph and airplane B is flying north at 250 mph. If they are both heading to the same airport, located 30 miles east of airplane A and 40 miles north of airplane B, at what rate (in mph) is the distance between the airplanes changing?
Answers
The rate at which the distance between the airplanes is changing is;
dC/dt = 320 mi/h
We are given;
The Speed of Airplane A; dA/dt = 200 mi/h
The Speed of Airplane B; dB/dt = 250 mi/h
Aircraft A and B will form a right-angled triangle because Aircraft A is flying east and Aircraft B is flying north, and we can use Pythagoras' theorem to calculate their distance from one another.
Let C be the distance.
Therefore;
C² = A² + B²
Differentiating the above equation with respect to t,
2C(dC/dt) = 2A(dA/dt) + 2B(dB/dt)
Dividing each side of the equation by 2,
C( dC/dt ) = A( dA/dt ) + B( dB/dt )
Where dC/dt is the rate of change in distance between the two aircraft.
Now,
C² = A² + B²
C = √(A² + B²)
Substituting, A = 30 miles and B = 40 miles;
C = √(30² + 40²)
C = √( 900 + 1600 )
C = √2500
C = 50 miles
Substituting the value in the equation C( dC/dt ) = A( dA/dt ) + B( dB/dt ),
50(dC/dt) = (30 × 200) + (40 × 250)
50(dC/dt) = 6000 + 10000
50 × dC/dt = 16000
dC/dt = 16000/50
dC/dt = 320 mi/h
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Find the area of quadrilateral CHIL as pictured above.
Answers
Check the picture below.
so we really have two twin triangles pretty much
[tex]\stackrel{\textit{area of both triangles}}{2\left[ \cfrac{1}{2}(\underset{b}{9})(\underset{h}{4}) \right]\implies \text{\LARGE 36}}[/tex]
3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. (2 points)
(10)n = 10(0.11515).
4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work. (2 points)
ill give 100 points answer fast and brainlist
Answers
The required equation in which case the left side is the power of 10 times n and the right side is the result of multiplying 0.1515 by 10 is; (10)n = 10(0.1515).
The resulting equation from the subtraction is therefore; 9n = 9 (0.1515).
What is the result of the subtraction of both equations?3. It follows from the task content that the equation represented by the statement; "the left side is your power of 10 times n and the right side is the result of multiplying 0.1515".
Hence, the algebraic expression which represents the situation is; (10)n = 10(0.1515).
4. Also, by subtracting the equation n = 0.1515 from the equation above; we have;
(10)n = 10(0.1515).
-
n = 0.1515
Therefore, the resulting equation from the subtraction is;
(10n - n) = 10(0.1515) - 0.1515
9n = 9 (0.1515).
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the sum of -15 /37 and 7/32 is? ANSWER ASAP WILL GIVE BRAINLIEST
Answers
A straight line has the equation y=5x-1
a. what is the equation of a parallel line with a y intercept of 4
b. what is the equation of a parallel line with a y intercept of -2
c. why will your answers to part a and b also be parallel
Answers
a. The equation of a parallel line with a y intercept of 4 is:
y=5x+4
b. The equation of a line parallel line with a y intercept of -2 is:
y=5x-2
c. Since they have same slope and different intercepts, so the answers to part a and b are also parallel.
a. Given, the given straight line equation is: y=5x-1 eq(1)
hence the slope of the line is m=5
The required line is parallel to (1) so its slope is also same.
m = 5 and the y intercept is 4.
By using y = mx + c form the equation of the required line is:
y = 5x+4
b. The given straight line equation is: y=5x-1 eq(1)
hence the slope of the line is m=5
The required line is parallel to (1) so its slope is also same.
m = 5 and the y intercept is -2.
By using y = mx + c form the equation of the required line is:
y = 5x-2
c. If two lines have different y-intercepts and equal slopes, then they are said to be parallel. Hence answers to part a and part b are said to be parallel.
Hence we get the desired equations.
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 2348 no votes, what was the total
number of votes?
Answers
Answer:
2935
Step-by-step explanation:
if you divide the total of no votes (2348) to 4 you will get 587
587 x the number of yes votes (5)
would be 2935
5) If a || b and b | c, can you conclude that a || c? Explain
your reasoning and include a drawing to support your
answer.
Answers
Parallel lines are any two line pairs that do not overlap or come together at any point. Despite being on the same plane, these lines do not intersect. Lines or rays that share a plane but do not intersect are also considered to be parallel.
a || b and b || c then a || c.
ie. a || b || c
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.Parallel Lines' Slope Parallel lines have an equal slope. The slope of parallel lines is equal because they are all equally inclined with respect to the positive x-axis. If m1, m2 are the slopes of two parallel lines, then m1 = m2 is the result.Parallel lines are any two line pairs that do not overlap or come together at any point. Despite being on the same plane, these lines do not intersect. Lines or rays that share a plane but do not intersect are also considered to be parallel.
a || b and b || c then a || c.
ie. a || b || c
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Find the equation of the straight line passing through the point (3, 3)
which is perpendicular to the line
y=-}x-4
Answers
Answer:y=1/2x-41/2
Step-by-step explanation: First we have to find the slope of the line that's given, y - 4 = 2(x+2). The slope is 2 (if we multiply 2*x we would get 2x and the 2 is the slope).
Two lines are perpendicular if their slopes are negative reciprocals. So if the first line has a slope of 2, a perpendicular line would have a slope of -1/2
Now we have to find the equation for the line with slope of -1/2 that passes through the point (3,3). If we use the point-intercept form we can write it as:
y = mx + b
Since the slope is -1/2 and we know that when x = 3, y = 3 (since the line passes through that point) we can substitute the values and solve for b
y = mx+b
3 = -1/2 *3 + b
3 = -3/2 + b
3 = -11/2 + b
41/2 = b
Now we can write the equation as
y = -1/2x + 41/2
Find all the factors of the given polynomial using synthetic division.
[tex]{x}^{2} + {6x}^{5} - {2x}^{4} - {60x}^{3} - {71x}^{2} + 54x + 72[/tex]
Solution:
Answers
Factor of 6x⁵ – 2x⁴ – 60x³ – 70x²+54x+72: are 2(x−1) (3x+2x³ – 28x² – 63x – 63)
What are the factors of polynomial?A polynomial with coefficients in a specific field or in integers is expressed as the result of irreducible components with coefficients in the same domain using polynomial factorization. The polynomials that are multiplied to create the original polynomial are the factors in the case of polynomials. For instance, (x + 2) (x + 3) are the elements of x2 + 5x + 6. The original polynomial is produced when we multiply both x +2 and x +3.
615 - 2x-60x³- 70x² +54 +72
Factor out common term 2:
2(3x⁵-x⁴-30x³ - 35x² +63)
Factor 3x⁵ - x⁴ - 30x³ – 35x²+63:
(x-1) (3x² + 2x³ — 28x² – 63x – 63) -
=2(x − 1 ) (3x⁴ + 2x³ – 28t² – 63x – 63)
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(q027) a recent study by pew (purcell 2011) found gendered differences in applications (apps) downloaded by men and women. men are more likely to download and use , whereas women tend to use more than men.
Answers
Men are more likely to download and use , but women use both sides of the brain while men only use the left for visual or spatial expression. So, There is a relationship between gender and intended major.
Based on the given conditions,
Differences in applications (apps) downloaded by men and women.
Men are more likely to download and use , whereas women tend to use more than men.
So,
We can write,
According to studies comparing the brain activity of men and women,
When performing language-related tasks, women's brains are more likely than men's to be engaged in the right hemisphere.Men express their emotions using the right side of the brain, whereas women use both sides.Women use both sides of the brain while men only use the left for visual or spatial expression.Although men tend to be more emotional than women, women often express and display their feelings the most, giving the impression that they are more emotionally sensitive than men.From the above question, we can see that most women in research positions want to use, while most men want to study download and use. From this we can conclude that there is a greater correlation between female gender and use (according to this study) than male gender and download and use . Therefore, the results of this study indicate that there is a relationship between gender and primary intentions.Therefore,
Men are more likely to download and use , but women use both sides of the brain while men only use the left for visual or spatial expression. So, There is a relationship between gender and intended major.
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i need help cuz im poopy dooky at math
Answers
Answer:
Reduction is correct
Scale factor is 0.5
Step-by-step explanation:
The distance from the point L to every point on the pink figure is 1/2 (0.5) times the distance from L to each of the corresponding points on the original figure
If scale factor < 1, it is a reduction
nits 5 and 6: Modeling Mania: Think 1 Question number 1 A scalene triangle has equal sides. I don't know
Answers
Explanation:
Scalene triangle has no side equal. Its angles are also not equal.
The three sides of scalene triangle are all differenet from one another.
4) At Rory’s school, students must join one after school club. Based on the data in Graph #2, which club attracted about 30% of students?
x
A. yearbook
B. art
C. drama
D. hiking
E. running
F. science
Answers
The hiking club attracted about 30% of the students as per the given graph. which is the correct answer would be option (D).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
At Rory’s school, students must join one after-school club. Based on the data in the given graph,
According to the given graph
We can see that hiking and science clubs together attracted about 50% of students.
Here as a comparison to hiking and science clubs, we found that the hiking club is more attractive than the science club which is approximant about 30% of the students.
Therefore, the hiking club attracted about 30% of the students.
Hence, the correct answer would be an option (D).
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Mandy created 2 patterns. She used the corresponding values in each pattern to make the coordinate pairs shown.
(1,0)
(3,2)
(11,10)
(14, 13)
What is the relationship between each x- and y-coordinate? Move numbers and symbols to the lines to make an equation.
y = x
2
3
8
11
Answers
The equation that represents the linear relationship between each x- and y-coordinate is: y = x - 2.
How to Create an Equation for a Relationship?For a linear relationship between x and y coordinate, an equation in slope-intercept form that can be created is expressed as y = mx + b.
"m" is the slope = change in y / change in x."b" is the y-intercept.Find the slope (m) using any two pairs of values, (1, 0) and (3, 2):
Slope (m) = (2 - 0)/(3 - 1)
Slope (m) = 2/2
Slope (m) = 1
Find the y-intercept by substituting m = 1 and (x, y) = (1, 0) into y = mx + b:
0 = 1(1) + b
0 = 2 + b
-2 = b
b = -2
Write the equation of the relation by substituting m = 1 and b = -2 into y = mx + b:
y = x - 2
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The relationship Mandy made with coordinate points is y = x - 1.
What is the x-y coordinate?an x-y coordinate is a 2D plane in which we can plot points of x and y together to make a coordinate. We can graph lines or any 2D figure using x-y coordinates.
We determine the relationship between x and y we'll go with the
hit-and-trial method.
At x = 1, y = 0.
At x = 11 , y = 10.
We can observe that y is one less than x, this can be represented as,
y = x - 1.
To cross-check out the equation can put given values of x and y and check whether it satisfies our equation or not.
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Evaluate the expression when m=16 and n=6. M+36/n
Answers
explanation: first, replace m with its value, which is 16. then replace n with its value, which is 6. you will have this equation:
16+36/6. start with 36/6, which equals 6. then add 16. your answer will be 22. hope this helped!
I need to know the answer asp
Answers
In the given figure, BC is the Adjacent side. This is because the side is the closest side to the angle θ.
Using Trigonometry, we can also find out the measure of the ∠θ.
tan θ = opposite side / adjacent side
⇒ tan θ = 2/8 = 1/4
⇒ θ = tan^-1 (1/4)
⇒ θ = 0.245°
What is Trigonometry?The area of mathematics known as trigonometry studies how triangles' sides and angles relate to one another as well as how various angles might be used in useful ways. For determining the positions of the sun, moon, and stars, forecasting eclipses, and defining planet orbits, spherical trigonometry has been utilized for ages. To determine the distance to neighboring stars in the modern era, astronomers utilize the triangulation method. Satellite navigation systems also employ this method.By combining the laws of sines and cosines with these functions, it is possible to practically any queries concerning arbitrary triangles. When a triangle has two sides and an included angle or two angles and a side, these principles can be applied to determine the remaining angles and sides.As soon as two sides, their included angle, two angles, a side, or three sides are known, these principles can be used to calculate the remaining angles and sides of any triangle.
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Find the area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards pong. Round your answer to the nearest tenth.
Answers
Answer:
444.6 square yards.
Explanation:
• A regular hexagon is divided into 6 equilateral triangles.
,• The apothem is the height of each equilateral triangle.
,• The side length is the base of each triangle.
Thus, the area of the hexagon will be:
[tex]\begin{gathered} A=6\times\text{Area of one equilateral triangle} \\ =6\times\frac{1}{2}bh \\ =6\times\frac{1}{2}\times13\times11.4 \\ =444.6\text{ square yards} \end{gathered}[/tex]The area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards is 444.6 square yards.
<1 is a complement of <2, and m<1=23. find m<2
Answers
The value of the angle m∠2 = 67°.
Angle may be defined as the space between two lines. An angle consists of a vertex with which the angle is extended. When sum of two angles is exactly 90°, they are called complementary angles. For example, if we have two angles a and b then, ∠a + ∠b = 90°. When sum of two angles is exactly 180°, they are called supplementary angles. For example, if we have two angles a and b then, ∠a +∠b =180°. According to the given question ∠1 is a complement of ∠2 and we know when two angles are complementary to each other sum of their angles is 90°. So,
m∠1 + m∠2 = 90°
Now, m∠1 = 23°
23° + m∠2 = 90°
m∠2 = 90° - 23°
m∠2 = 67° which is required angle.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answers
Answer:
90 degree counter-clockwise
Step-by-step explanation:
1.7x10*4 x 8.5x10*-2
Answers
Answer: 1.7×10*4×8.5×10*-2= 1445
Step-by-step explanation:
The question must be written as follows:
1.7×10∧4×8.5×10∧-2=
(1.7×10000×8.5)÷100
=144500÷100=1445
Grace works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for each phone sale and a different fixed commission for each accessory sale. Yesterday Grace sold 18 phones and 21 accessories and made a total commission of $204. Today she sold 6 phones and 14 accessories and made a total commission of $82. Determine the price of each phone and the price of each accessory.
What's the commission for each phone and the commission for each accessory?
Answers
The commission for each phone exists $2 and the commission for each accessory exists $9.
How to find the price of each phone and the price of each accessory?Given: Commission on 18 phones and 21 accessories = $204
commission on 6 phones and 14 accessories = $82.
Let the commission of each phone be P and the accessory be A.
From the given information, we get
18P + 21A = 204
6P + 7 A = 68 -----(1)
6P + 14 A = 82 ------(2)
By substitution of (1) in equation (2),
⇒ 68 - 7A + 14A = 82
simplifying both of the above equations we get
⇒ 7A = 14
⇒ A = 2
The value of A = 2.
Commission of each accessory = $2
To estimate the commission on each phone:
6P + 7 x 2 = 68
⇒ 6P = 54
⇒ P = 9
Commission of each phone = $9
Therefore, the required answers are 2 and 9.
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Find the number that should be added to the equations to make it a complete squares.
1. x^2 + 22x
2. x^2 - 2x
3. x^2 + 7x
Answers
The number that must be added to complete the squares is 121 .
Since x² represents the area of a square with a side of length x and bˣ represents the area of a rectangle with sides b and x, the process of completing the square can be seen as a visual manipulation of rectangles.
When the x² and bˣ rectangles are simply joined into a larger square, a corner is lost. The expression (b/2)² can be added to each side of the equation above to calculate the area of the remaining corner, thereby giving rise to the idiom "completing the square".the given expressions are x² + 22x
This can be written in the form of a square polynomial as :
x² + 2×x×11 + 11² = (x+11)²
Therefore we have to add 11² = 121 to the polynomial to complete the square.
Similarly for x² - 2x we have to add 1 to get the form (x-1)²
And we have to add x²+ 7x + (7/2)²
Hence the number to be added is 49/4 .
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whats the midpoint of (2,2) and (10,10)
Answers
Answer:
Midpoint=(6,−354)
Step-by-step explanation:
I solved this using the MidPoint Calculator:) Im a 7th grader.
0. Complete the statement: 0.6L mL
Answers
Answer:
600mL
Step-by-step explanation:
1 Milliliter = 0.001 L
1,072 ÷ 16 = 67
Write a situation for this number model and draw a picture that goes with it.
Answers
Dana has 12 jelly beans that she wants to divide among 3 friends. Select the three statements that describe how Dana should divide the jelly beans.
Answers
Answer:
Step-by-step explanation: 12/3 is 4
Original Price: $20
Discount: 40%
Answers
Answer:
$12
Step-by-step explanation:
C0-starting price
C1-price after discount
P- precentage
C1=C0-P/100*C0
C1=20-40/100*20
C1=20-8
C1=12
How to write 1.09 in a fraction
Answers
Answer:
1.09 = [tex]1\frac{9}{100} [/tex]
cuanto es 3416 dividido 23
Answers
Answer: 148.52173913
Step-by-step explanation:
Buenos Noches:)
espero que esto ayude
A school club is raising money for a trip, and needs to reach $5,000. their fundraising progress is modeled by the equation: t = 350 + 750x, where x is measured in weeks. what is the meaning of the coefficient 750? question 13 options: it is the amount still to be raised. it is the amount they started with. it is the amount they raise each week. it is the amount left over.
Answers
Answer: It is the amount they raise each week
350 is the amount they started with
