Answers
= -6 ÷ 2
= -3
The midpoint of AD is -3.
Related Questions
A block of wood is 0.2 meters (m) by 0.1 m by 0.5 m. find its dimensions in centimeters
Answers
0.2m=100(0.2)cm=20cm
0.1m=100(0.1)cm=10cm
0.5m=100(0.5)cm=50cm
it's dimetions are 20cm by 10cm by 50cm
Help me with this math man
Answers
or
= 7m(3m^6 + (-m^4) + 7)
hope it helps
A basketball has a radius of 12.5 inchesWhat would be the volume of the basketball?
Answers
The volume of a basketball with a radius of 12.5 inches is calculated using the formula for the volume of a sphere (4/3πr³). The result approximates to 8177.083 cubic inches.
Explanation:The volume of a sphere, like a basketball, can be calculated using the formula 4/3πr³. Here, r is the radius of the sphere. As specified, the radius of the basketball is 12.5 inches. So, we just need to plug that into our formula:
Volume = 4/3 * π * (12.5)^3 , value of π is 3.14 approximately.
When you calculate the above expression, you'll find the volume of the basketball is approximately 8177.083 cubic inches.
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The quantity demanded of a certain brand of DVD player is 3000/wk when the unit price is $485. For each decrease in unit price of $40 below $485, the quantity demanded increases by 500 units. The suppliers will not market any DVD players if the unit price is $334 or lower. But at a unit price of $559, they are willing to make available 2500 units in the market. The supply equation is also known to be linear.
Answers
Part (a): Find the demand equation.
To find the demand equation, we notice that the demand function is linear because we were told that for each decrease in unit price of $40 below $485, the quantity demanded increases by 500 units.
Given that at a price of $485, the quantity demanded is 3,000 and given that for each decrease in unit price of $40 below $485, the quantity demanded increases by 500 units. Then for a price of $485 - $40 = $445, the quantity demanded is 3,000 + 500 = 3,500 units
Thus, using the formula for the equation of a straight line and the points (3,000, 485) and (3,500, 445), we find the demand equation as follows:
[tex] \frac{p-485}{q-3,000} = \frac{445-485}{3,500-3,000} \\ \\ \Rightarrow \frac{p-485}{q-3,000}= \frac{-40}{500} =- \frac{2}{25} \\ \\ \Rightarrow25(p-485)=-2(q-3,000) \\ \\ \Rightarrow25p-12,125=-2q+6,000 \\ \\ \Rightarrow25p+2q=18,125[/tex]
Part (b): Find the supply equation.
To find the supply equation, given that the supply function is linear and that the suppliers will not market any DVD players if the unit price is $334 or lower. But at a unit price of $559, they are willing to make available 2500 units in the market.
Thus, using the formula for the equation of a straight line and the points (0, 334) and (2,500, 559), we find the demand equation as follows:
[tex] \frac{p-334}{q-0} = \frac{559-334}{2,500-0} \\ \\ \Rightarrow \frac{p-334}{q}= \frac{225}{2,500} =\frac{9}{100} \\ \\ \Rightarrow100(p-334)=9q \\ \\ \Rightarrow100p-33,400=9q \\ \\ \Rightarrow100p-9q=33,400[/tex]
(c) Find the equilibrium quantity and price.
The equilibruim quantity and price is given by the quantity and price at which the quantity demanded is equal to the quantity supplied. It is obtained by equating the demand and the supply equations.
i.e.
From demand equation, we have
[tex]25p+2q=18,125 \\ \\ \Rightarrow25p=-2q+18,125 \\ \\ \Rightarrow p= -\frac{2}{25}q +725 \ . \ . \ . (1)[/tex]
From supply equation, we have
[tex]100p-9q=33,400 \\ \\ \Rightarrow100p=9q+33,400 \\ \\ \Rightarrow p= \frac{9}{100} q+334 \ . \ . \ . (2)[/tex]
Equating equations (1) and (2), we have
[tex]-\frac{2}{25}q +725=\frac{9}{100} q+334 \\ \\ \Rightarrow\frac{9}{100} q+\frac{2}{25}q=725-334 \\ \\ \Rightarrow \frac{17}{100} q=391 \\ \\ \Rightarrow q= \frac{391\times100}{17} =2,300[/tex]
Substituting for q into equation (1), we have
[tex]-\frac{2}{25}(2,300) +725=-184+725=541[/tex]
Therefore, the equilibruim quantity is 2,300 units at a price of $541.
what operation should be performed first to solve this problem?
the Johnson family can fly from Washington DC to London $18 per mile per person. The distance is 3,663 miles. how much will the trip cost if four people go?
A. addition
B. division
C. subtraction
D. multiplication
Answers
D)Multiplication
RS=5y+5, ST=3y+7, and RT=12y-20 what is the value of y?
Answers
RS+ST = RT
5y+5+3y+7 = 12y-20
separate the variables and solve to get thevalue of y as follows:
5+7+20 = 12y-3y-5y
32=4y
y = 8
substitute in the equation of each line to get its length as follows:
RS = 5y+5 = 5(8)+5 = 45
ST = 3y+7 = 3(8)+7 = 31
RT = 12y-20 = 12(8)-20 = 76
Answer:
-12 or 8
Step-by-step explanation:
£2292.84 rounded to 2DP
Answers
The rounded solution of £2292.84 , is to two decimal places is £2292.84.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, we have,
given that,
£2292.84
its upto two decimal point.
so, rounded to two decimal point = £2292.84
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The number £2292.84, when rounded to two decimal places, remains unchanged as £2292.84 because the third digit after the decimal point is less than 5.
The student has asked to round the number £2292.84 to two decimal places. To round to two decimal places (2DP), you look at the third digit after the decimal point, which in this case is a 4. Since the third digit is less than 5, the second digit after the decimal point remains the same, and the number £2292.84 is already at two decimal places. Therefore, the rounded number is £2292.84.
Determine the measures of the unknown labeled angles in the diagrams below:
Answers
thus, angle "a" is just 180 - 102 - 42.
and angle "b" is just 180 - 44.
keeping in mind that, for the second triangle, for two equal sides, departing from the same vertex, they'd make up equal angles on the other end, thus the red 68°.
Convert 26.2 mi to kilometers using 1 mi = 1.6 km.
Answers
26.2miles=26.2*1.6=41.92 kilometers
Two angles in standard position that have the same terminal side are
Answers
Suppose you feel hungry so you reach for a plum you see in a fruit bowl. explain how both external and internal stimuli are involved in your action
Answers
In the given scenario above, the one who will be named as the external stimulus is the action of having to use the sense of sight when you have seen the fruit of bowl. The internal stimulus will be the action of having to feel the hunger.
When Lou started his current job, his employer told him that he would receive two vocation days for each full year he worked. How long will it take him to earn 18 paid vacation days?
Answers
By solving a linear equation, we will see that he needs to work for 9 years.
How long will take Lou to earn 18 vacation days?We know that for each year that he works, he gets 2 vacation days.
So we can write the linear equation:
y = 2*x
Where y is the number of vacation days, and x is the number of years that he worked.
We want to find the value of x such that y = 18, then we need to solve:
18 = 2*x
Solving for x w get:
18/2 = x = 9
This means that to get 18 vacation days, he needs to work for 9 years.
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In the diagram which we must be true for point P to be the centroid of the triangle
Answers
JM = ML, LO = OK, KN = NJ (3rd answer)
The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find the height of the prism?
Answers
v = l x w x h
v = 2058
width = x
height = 2x
length = 3x
2058 = 3x*2x*x =
2058 = 6x^3=
343 = x^3
x = 7
2*7 = 14
3*7 = 21
21*14*7 = 2058
height is 14 cm
ABCD is a square. What is the measure of angle BAC?
A. 90°
B. 45°
C. 15°
D. 135°
Answers
a corner in a square is 90%
the angle BAC is half that
90/2 = 45 degrees
Answer:
The correct option is B.
Step-by-step explanation:
Given information: ABCD is a square.
According to the property of square,
1. The measure of all interior angles of the square is 90°.
2. Diagonals are angle bisector.
In the given figure ABCD is square, so
[tex]\angle DAB=90^{\circ}[/tex]
AC is a diagonal of ABCD.
[tex]\angle DAC=\angle BAC[/tex]
We can say that
[tex]\angle DAB=\angle DAC+\angle BAC[/tex]
[tex]\angle DAB=\angle BAC+\angle BAC[/tex]
[tex]\angle DAB=2\angle BAC[/tex]
[tex]90^{\circ}=2\angle BAC[/tex]
Divide both sides by 90.
[tex]\frac{90^{\circ}}{2}=\angle BAC[/tex]
[tex]35^{\circ}=\angle BAC[/tex]
The measure of angle BAC is 45°. Therefore the correct option is B.
Eduardo is 16. Eduardo’s dad takes him and his younger sister to a soccer match. Tickets are $17 for adults and $13 for children (18 and under). Write an expression for the total cost of the tickets. What is the total cost of the tickets?
Answers
X is total cost
a is the total number of adult tickets being bought
c is the total number of child tickets being bought
In the world problem, we learn Eduardo's dad is purchasing 1 adult ticket and 2 child tickets. This gives us: X= 17(1) + 13(2)
X= 17 + 26
X= 43
$43 was the total cost of the tickets
Which point best approximates square root of 45
Answers
Answer:
The point best approximates √45 is C = 6.72
Step-by-step explanation:
We have to show the approximate square value of √45.
By solving √45 = √(5×9) = √5×√9 = 3√5 = 3×2.24 = 6.72
6.72 can be represented as point C on the given number line.
Write the equation of the line through the given point. Use slope-intercept form.
(-6,1);perpendicular to y= -6/5 x -4
Answers
let the slope : a and ; b the slope of the line : y = (-6/5)x - 4
the line that is perpendicular to(-6/5)x-4 so : a×b = - 1 and b = -6/5
so : a = 5/6
in slope-intercept form of the equation of the line that is perpendicular
to is : y = (5/6)x +c
contains (-6,1) : 1 = (5/6)(-6) +c
c = 6
an equation is : y= (5/6)x + 6
How many multiples of 5 are there between 81 and 358?
Answers
358-81 = 277
277/5 = 55.4
there are 55 multiples
Solve for L: S = B + 1/2L
Answers
Isolating L, it is found that the solution for L is given by:
[tex]L = 2(S - B)[/tex]
--------------------------
The equation is:
[tex]S = B + \frac{1}{2}L[/tex]
Leaving everything with L on one side, everything without on the other.
[tex]\frac{L}{2} = S - B[/tex]
[tex]L = 2(S - B)[/tex]
Which is the solution for L.
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PLS HELP ME ASAP WITH A-C (CORRECT ANSWERS PLS!!) THANK YOU SM!!!!
Answers
b-->(shown in attached picture)
c--> 18ft ~ 5125lbs
30ft ~ 3125lbs
72ft ~ 1250lbs
at 3:00a.m,the temperature is -5°F. Between 3:00a.m. and 6:00 a.m.,the temperature drops by 12°F. Between 6:00a.m. and 9:00a.m., the temperature rises by 4°F. What is the temperature at 9:00a.m.?
Answers
Find the distance between the given points. C(7, 1) and D(4, -6) Distance =
Answers
Plug and chug
Answer: [tex] \sqrt{34} [/tex]
Answer:
√58
Step-by-step explanation:
What is the simplified expression for
Select one:
a. 3 over 2
b. 3 to the power of 2 over 2 to the power of 2
c. 3 to the power of 2 over 2
d. 2 to the power of 4 over 3
Answers
What is the measure of FSM
Answers
7x+ 8 = 5x + 32
2x = 24
x = 12
m<FSM = 7x+ 8 = 7(12) + 8 = 84 + 8 = 92
answer
A 92
The measure of angle FSM 92 degrees.
The given problem can be solved using the concept of Intersecting Lines, specifically the fact that vertical angles are equal.
Here, the angles WSU and FSM form vertical angles at point 'S' as the lines WM and FU intersect at this point.
Given that WSU = (5x+32) degrees and FSM = (7x+8) degrees, since they are vertical angles, we can set them equal to each other.
This gives, 5x + 32 = 7x + 8.
Now, by subtracting 5x from each side, we get 2x = 24.
Thus, dividing by 2 on both sides, we obtain 'x' as 12.
Substitute 'x' values in FSM = (7x+8) degree. So, FSM = (7*12+8) = 92 degrees.
Therefore, the measure of angle FSM is 92 degrees which makes the answer option A. Correct answer.
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The probable question may be:
Line WM and Line FU intersects each other at common point S
The angle between WSU is (5x+32) degree
The angle between FSM is (7x+8) degree
What is the measure of FSM
A. 92degree
B. 93 degree
C. 95 degree
D. 94 degree
Kevin is six years older than his twin sisters. The sum of the three children’s ages is the same as their 42 year old dad’s age. How old are the children?
Answers
age of twin sisters = x - 6
sum of children's age = x + x - 6 + x - 6
= 3x - 12
3x - 12 = 42
3x = 54
x = 54/3
= 18
age of twin sisters = x - 6
= 18 - 6
= 12
Kevin is 18 years old whereas the twin sisters are both 12 years old.
The question involves solving a basic algebra problem to determine the ages of three children. By setting up an equation based on the given information, we find that each twin sister is 12 years old and Kevin is 18 years old.
Explanation:The question revolves around finding the ages of three children, Kevin and his twin sisters, given that Kevin is six years older than his twin sisters and the sum of their ages equals their father's age, who is 42 years old. First, let's denote the age of each twin sister as x. Since Kevin is six years older, his age will be x + 6. The sum of their ages equals their father's age, which is given as 42 years. Therefore, the equation to find their ages will be:
[tex]x + x + (x + 6) = 42[/tex]
This simplifies to:
3x + 6 = 42
Subtracting 6 from both sides gives:
3x = 36
Dividing by 3:
x = 12
So, the age of each twin sister is 12 years, and Kevin's age is 12 + 6 = 18 years.
If x=2 then 2=x what’s the definition
Answers
Answer:
The symmetric property of equality.
Step-by-step explanation:
The symmetric property of equality says that if a=b, then b=a. Here, we have x substituted for "a" and 2 substituted for "b" to get ...
if x = 2, then 2 = x. . . . . . . symmetric property of equality
The area of the irregular polygon is ____ square units.
Answers
subtract 7 and 4 to get the big side of the rectangle, and subtract 3 and 2 to get the small side. then find the area of the big rectangle and small rectangle to get the area of the entire rectangle. area equals 15 units^2
A(n) _____ is a two dimensional diagram that can be folded to form a three dimensional figure?
A. net
B. orthographic drawing
C. isometric drawing
D. geometric solid
Answers
Answer:
The answer is option A.
Step-by-step explanation:
A net is a two dimensional diagram that can be folded to form a three dimensional figure.
A net is a pattern made when a 3 d figure is put flat on the surface, showing each face of the figure.
A solid has different nets.
Answer:
Step-by-step explanation:
1.A
2.A
3.B
4.B
5.C
6.D
7.C
8.B
9.A
10.D
11.C
12.C
13.C
14.B
15.D
There are two jars. One jar contains 2 red gum balls , 3 green gum balls ,and 1 yellow gumball.the other jar contains 2 blue balloons and 3 purple balloons . Jeff randomly draws one gumball and then balloon .what is the probability that he will draw a green gumball and a blue balloon?
A.1/15
B.2/15
C.1/5
D.3/10
Answers
There are 2 blue balloons out of 5 in total. So, the odds of Jeff pulling out a blue balloon is 2/5.
Therefore, the combined odds of Jeff pulling out a green gum and a blue balloon is 1/2 multiplied by 2/5, which is 2/10, or 1/5, Making the answer C.
TL;DR: The answer’s C.
Answer: 3/10 I had the same problem on a test and this was correct