Step-by-step explanation:
use the midpoint formula
-3+-7/2, 8+-6/2
(-5, 1)
An album sells for $16.00 through an online music service. If the album is 20% off, and sales tax is 8%, what is the total price of the album including tax?
A: $13.95
B: $13.82
C:$12.96
D:$14.69
Answer:
rupees 14.69
Step-by-step explanation:
rupees 14.69
I hope this answer correct
Tanner had $42.80 and spent 20% of his money on a book including tax. If he paid with a $10 bill, how much change did Tanner get back?
A. $7.28
B. $6.24
C. $1.44
D. $17.54
simplify the expression 4x+2-1/2x
answer 41x
Step-by-step
The points (-16, 12) and (-29, 10) form a line segment.
Write down the midpoint of the line segment.
Midpoint Definition: The point where a line is perfectly split in half
Coordinates exist in the form of ( x, y )
Generally, you find the midpoint by adding up the two numbers and dividing the sum by 2.
In other words,
Midpoint = ( [tex]\frac{x1+x2}{2} , \frac{y1+y2}{2}[/tex] )
You should get ( -22.5, 11 ) as your answer.
Poru
1. It is a relationship that compares two or more quantities
A. quantity
B ratio
C. fraction
D. colon
The flight path of a plane is a straight line from city J to city K. The roads from city J to city K run 9.4 miles south and then 15.1 miles east. How many degrees east of south is the plane's flight path, to the nearest tenth?
Answer:
Step-by-step explanation:
[tex]tan\theta =15.1/9.4\\ \\ \theta =tan^{-1}(15.1/9.4)\\ \\ \theta \approx 58.1^o[/tex]
Answer:
Step-by-step explanation:
Do This
The following details are notes in meters in the field book of a surveyor. Find the area of the fields.
Answer:
8900Step-by-step explanation:
there are 4 triangles and 1 trapezoid in the shapethe area of first triangle
½×40×60
20×60
1200
the area of second triangle
½×(30+60)×60
½×90×60
30×90
2700
the area of third triangle
½×(40+30)×60
½×70×60
30×70
2100
the area of fourth triangle
½×30×30
15×30
450
the area of the trapezoid
½×(30+40)×(30+40)
½×70×70
35×70
2450
the area of the field
1200+2700+2100+450+2450
8900
note: the attached shape is got from the table and the shape is not made to accuracy
Determine m ASAP please help!!
Answer:
m=52
Step-by-step explanation:
ABC and FBE are congruent and we know that ABC is 52
90-38=52
so FBE is also 52
Hope this helps ^-^
En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del castillo?
Ayúdenme porfavo ;w;
Responder:
1" = 83 ft
10.5" = 83*10.5=871.5 ft
Explicación paso a paso:
Espero que esto te ayude ¡UwU! Saludos, Jaclyn
If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis
Answer:
draw a right angle triangle
Step-by-step explanation:
Let one of the angles be A
cos A = sin (90-A)
90 - x - 20 = x
2x = 70
x = 35 degrees
A committee of 3 is to be formed from 5 men and 6 women. (a) What is the probability that a random committee is made up of 2 women and 1 man? (b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Answer:
a) 0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
b) 0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
If the order of the people chosen is important, we use the permutations formula. If the order is not important, we use the combinations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) What is the probability that a random committee is made up of 2 women and 1 man?
Order is not important, so we use the combinations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = C_{6,2}*C_{5,1} = \frac{6!}{2!4!}*\frac{5!}{1!4!} = 15*5 = 75[/tex]
Total outcomes:
3 people from a set of 6 + 5 = 11. So
[tex]T = C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{75}{165} = 0.4545[/tex]
0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
(b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Now, the order is important, which means that we use the permutations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = P_{6,2}*P_{5,1} = \frac{6!}{4!}*\frac{5!}{4!} = 30*5 = 150[/tex]
Total outcomes:
3 people from a set of 11. So
[tex]T = P_{11,3} = \frac{11!}{8!} = 990[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{150}{990} = 0.1515[/tex]
0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
Find the slope of the line passing through the points (-2,3) a
and
(-9,6).
===================================================
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-9-(-2))
m = (6-3)/(-9+2)
m = 3/(-7)
m = -3/7
This means each time you go down 3 units, you go to the right 7 units.
Slope = rise/run = -3/7
rise = -3 and run = 7
THIS IS IREADY PLEASE HELP RIGHT ANSWER (Only)
1. What section of park is located at 7,0? A. Duck pound B. Gardens C. Bike trail D. parking lot.
Answer Bike trail
Step-by-step explanation:
Answer:
Bike trail
Step-by-step explanation:
HELPP I WILL GIVE BRAINLEIST!! PLSSSSS PLSSSSSSS
Answer:
x = 3 && y = - 1
Step-by-step explanation:
Just solving the two equations
the first equation
y = 4/3 x +3
y - 4/3 x = 3 ..............................................(1)
the second equation
y = -2/3x -3
y + 2/3 x = -3 ..............................................(2)
by substracting 2 from 1
-4/3x - 2/3x = -6
divide by -1
4/3x +2/3x = 6
6/3x = 6
2x = 6
x= 3
then subsititute by value x in any of given eqautions
In August, a grocery store averaged about 620 customers per day. In September, the average number of customers per day at the store was 1075. What was the approximate percent increase in the average number of customers per day from August to September?
255%
73%
70%
59%
Solve and check the equation.
x/9=x/10-4
Answer:
x = -360
Step-by-step explanation:
x/9 = x/10 - 4
=> x/9 - x/10 = -4
=> x/10 - x/9 = 4
=> 9x/90 - 10x/90 = 4
=> -x/90 = 4
=> -x = 90(4)
=> x = -360
LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9
Answer:
LN = MP = 9 units
Step-by-step explanation:
In rectangle LMNP, LN and MP are diagonals .
Measures of the diagonals of a rectangle are equal.
Therefore,
MP = LN
2x - 9 = x
2x - x = 9
x = 9
LN=x = 9 units
MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units
2(-4y-7)+3=11 solve for y
Answer:
y = -11/4
Step-by-step explanation:
2 ( -4y - 7) + 3 = 11
-8y - 14 + 3 = 11
-8y - 11 = 11
-8y = 22
y = -11/4
Answer:
12
Step-by-step explanation:
-4 + 12 =7
Can somebody please help me and how do you do this step by step and I need the formula for this please.
radius of ½ circle = d : 2
= 6in : 2 = 3in
Total area = Rectangle area + ½Circle area + Triangle area
= (l×w) + ½(π×r²) + (½×b×h)
= (10×6) + ½(π×3²) + (½ × (14-10) × 6)
= 60 + 14.14 + 12 = 86.14in
Answer : 86.14inSee the bold one in line 2 of total area, thats the formula of all shape.
find the product 27x3
Answer:
81
Step-by-step explanation:
2
27
x 3
------
8 1
Answer:
81
Step-by-step explanation:
27 × 3
81
Solve 81^x= 27^x + 2
Answer:
x=6
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases then solve for X.
Hope this helped have a good one.
What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.
Answer:
volume = (Pi)(r^2)(height)
57.5 cm^3 difference in volume
Step-by-step explanation:
Assuming that the 3.5 cm and the 4 cm are diameters of the cans:
The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.
The radius of the soda can is one-half of the diameter and that would be 2 cm.
The formula for the volume of a cylinder is Pi times the radius squared times the height. (Pi)(r^2)(height)
Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3
Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3
The soda can has more volume so:
163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.
The cost (C) for P pounds of apples can be represented by the equation c=4p. Graph the proportional relationship between the number of pounds of apples and the total cost.
HELP ASAP PLEASE
[tex] \frac{ \sqrt{40} }{ \sqrt{3} } [/tex]
Answer:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
Step-by-step explanation:
Given
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Required
Simplify
[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]
Rationalize:
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40} }{ \sqrt{3} }*\frac{ \sqrt{3} }{ \sqrt{3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40*3} }{ \sqrt{3*3} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ \sqrt{9} }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ 3 }[/tex]
Expand the numerator
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4*30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4}*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ 2*\sqrt{30} }{ 3 }[/tex]
[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]
Suppose a university is divided into three campuses: the Main campus, the Downtown campus, and the Bay Area campus. The Main campus has 60% of the university's students, the Downtown campus has 25%, and the Bay Area has the rest. At the Main campus, 12% of the students are statistics majors. At the Downtown campus, 4% of the students are statistics majors. Finally, at the Bay Area campus, 1% of the students are statistics majors.
Required:
a. What proportion of students at the university are statistics majors?
b. Of all statistics majors at the university, what proportion are at the Main campus?
Answer:
a) 0.0835 = 8.35% of students at the university are statistics majors
b) 0.8623 = 86.23% are at the Main campus
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for item b.
a. What proportion of students at the university are statistics majors?
12% of 60%(At the main campus).
4% of 25%(Downtown campus).
The rest is 100 - 60 + 25) = 15%.
1% of 15%(Bay Area Campus). Si
[tex]p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835[/tex]
0.0835 = 8.35% of students at the university are statistics majors.
b. Of all statistics majors at the university, what proportion are at the Main campus?
Using conditional probability to find the percentage.
Event A: Statistics majors, so [tex]P(A) = 0.0835[/tex]
Event B: Main Campus
Intersection of A and B:
12% of 60%. So
[tex]P(A \cap B) = 0.12*0.6 = 0.072[/tex]
Percentage:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623[/tex]
0.8623 = 86.23% are at the Main campus
Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.
Answer:
mineeeeeeeeeeee
Step-by-step explanation:
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
-When x = 2, both expressions have a value of 18.
-The expressions are only equivalent for x = 4 and x = 6.
-The expressions are only equivalent when evaluated with even values.
-The expressions have equivalent values for any value of x.
-The expressions should have been evaluated with one odd value and one even value.
-When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
-The expressions have equivalent values if x = 8.
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
5x - 4 = 2 (x + 3) + x
Step-by-step explanation:
5x - 4 = 2x + 6 × x
-----> 5x-3x = 6 + 4
-----> 2x = 10
----> x = 5
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y= 9 x= -42
Step-by-step explanation:
Select the correct answer.
Which function represents a function with zeros at -3,-1, 0, and 6?
A. y= (x-6)(x + 1)(x + 3)
B.y= x(x-3)(x - 1)(x + 6)
C. y= x(x-6)(x + 1)(x + 3)
D. y=(x-3)(x - 1)(x + 6)
Answer:
C
Step-by-step explanation:
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
Given that, a function with zeros at -3,-1, 0, and 6.
What are zeros of a function?The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
Now, x=-3⇒x+3, x=-1⇒x+1, x=0 and x=6⇒x-6.
The function is y=x(x-6)(x+3)(x+1).
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
To learn more about the functions visit:
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