Step-by-step explanation:
the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.
it does not matter in what direction we go, but it is important to keep the same direction for the x and the y comparison.
because I prefer to go from left to right, let's go from
(-3, -4) to (5, 12).
x changes by +8 (from -3 to 5).
y changes by +16 (from -4 to 12).
so, the slope is
+16/+8 = 2/1 = 2
in mrs. middleton's math class, there are 7 more boys than girls. if there are 29 total students in the class, how many boys are there?
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
18 boys + 11 girls = 29 students
18-11=7
The plan for a concrete birdbath is shown
below. The bowl is a cylinder with a depth
of 10 cm. If the bowl has a diameter of
30 cm, what is the exposed surface area
of the birdbath, including the pillar and
pedestal?
Answer:
Step-by-step explanation
10 cm
Answer: unknwon
Step-by-step explanation:
because height of pillar not given
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The quotient of 4 and the difference of 7 and a number.
Answer:
4/x+x-7
Step-by-step explanation:
1. 4/x
2. x-7
3. adding the two steps
is 7.69 x 24^8 in scientific notation
Reason:
The 24 needs to be changed to a 10 for it to be in scientific notation.
The template for scientific notation is [tex]a * 10^b[/tex] where [tex]0 \le |a| < 10[/tex]
So for example, [tex]1.23 \times 10^4[/tex] is in scientific notation.
coin $a$ is flipped three times and coin $b$ is flipped four times. what is the probability that the number of heads obtained from flipping the two fair coins is the same?
The probability that the number of heads obtained from flipping the two fair coins is the same is 35/128.
Probability:
Probability means the fraction of favorable outcome and the total number of outcomes.
So it can be written as,
Probability = Favorable outcomes / Total outcomes
Given,
The coin a is flipped three times and coin b is flipped four times.
Here we need to find the probability that the number of heads obtained from flipping the two fair coins is the same.
We know that,
There are 4 ways that the same number of heads will be obtained;
0, 1, 2, or 3 heads.
The probability of both getting 0 heads is
[tex]$\left(\frac12\right)^3{3\choose0}\left(\frac12\right)^4{4\choose0}=\frac1{128}$[/tex]
Probability of getting 1 head,
[tex]$\left(\frac12\right)^3{3\choose1}\left(\frac12\right)^4{4\choose1}=\frac{12}{128}$[/tex]
Probability of getting 2 heads is,
[tex]$\left(\frac12\right)^3{3\choose2}\left(\frac12\right)^4{4\choose2}=\frac{18}{128}$[/tex]
And the probability of getting 3 heads is,
[tex]$\left(\frac12\right)^3{3\choose3}\left(\frac12\right)^4{4\choose3}=\frac{4}{128}$[/tex]
Therefore, the probability that the number of heads obtained from flipping the two fair coins is the same is,
=> (1/128) + (12/128) + (18/128) + (4/128)
=> 35/128.
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Ken and Hamid run around a track.
It takes ken 80 seconds to complete one lap
It takes Hamid 60 Seconds to complete one lap
Ken and Hamid start running at the same time from the start line
How may laps will they each run when they next meet on the start line?
It is found that Ken will have run 3 laps and Hamid will have run 4 around a track.
What is prime factorization?Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities. Prime factorization is when all those factors are prime numbers.Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
To determine the number of seconds that will have passed when they meet again. We will use the LCM, or least common multiple, for this.
Thus the prime factorization of each number:
80 = 10(8)
10 = 5(2)
8 = 2(4)
4 = 2(2)
80 = 2(2)(2)(5)(2)
60 = 10(6)
10 = 5(2)
6 = 2(3)
60 = 2(2)(3)(5)
For the LCM,
2(2)(5)(2)(2)(3) = 240
This means every 240 sec; they will both be at the start line.
Since Ken completes a lap in 80 seconds, then he will completes
240/80 = 3 laps in 240 seconds.
Since Hamid completes a lap in 60 seconds, then he will completes 240/60 = 4 laps in 240 seconds.
Hence, It is found that Ken will have run 3 laps and Hamid will have run 4.
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what is the value of 8 4/3 ?
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf= 9.\bar{33}[/tex]
Step-by-step explanation:[tex] \bf{8 \frac{4}{3} = \frac{3 \times 8 + 4}{3} = \frac{24 + 4}{3} = \frac{28}{3} = 9. \bar{{33 }}}[/tex]
a market woman bought n eggs at the rate of 12 eggs at €60. 8 of the eggs were broken so she sold the remaining at the rate of 4 eggs at €24 and made a profit of €12. how many eggs did she buy.
Answer:26 eggs
Step-by-step explanation: yes
The market woman bought 60 eggs.
The market woman bought n eggs at the rate of 12 eggs for €60.
So, the cost price of each egg is given by:
Cost price per egg = €60 / 12 = €5
The total cost of n eggs is the cost price per egg multiplied by the number of eggs (n):
Total cost = €5 * n = 5n
After buying n eggs, 8 of them were broken.
So, the market woman had (n - 8) eggs left to sell.
She sold the remaining eggs at the rate of 4 eggs for €24.
The selling price of each egg is given by:
Selling price per egg = €24 / 4 = €6
The total selling price of the remaining (n - 8) eggs is the selling price per egg multiplied by the number of remaining eggs (n - 8):
Total selling price = €6 * (n - 8) = 6n - 48
The profit is the difference between the total selling price and the total cost:
Profit = Total selling price - Total cost
Since the problem states that the market woman made a profit of €12, we can set up the equation:
6n - 48 - 5n = 12
Solve for n.
Combine like terms:
n - 48 = 12
Add 48 to both sides:
n = 60
So, the market woman bought 60 eggs.
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Fine the least common denominator for these fractions. Enter your answer in the space provided. 1/2 and 5/6
Answer: The LCD is 2
Step-by-step explanation: I think that because 2, 4, 6 but I'm not sure. (please don't get mad if I'm wrong)
Answer:
6.
Step-by-step explanation:
Factorise 2 and 6:
2 = 2
6 = 2*3
In calculating the LCM we only use the 2 once, as it is duplicated in the 2 lists of factors.
The LCM = 2 * 3 = 6.
(Note LCM = LCD.)
a game arcade consists of a balloon that is inflated little-by-little during each round of play. The player wins when the balloon pops. The amount of air that is needed to make the balloon pop can be modeled bya. uniform distribution on the interval from 25 to 35 cubic inches of air.
A 3.5 ft child casts a 60 inch shadow, the child is next to a telephone pole that casts a 50 ft shadow how tall is the telephone pole
The telephone pole is 35ft tall .
What is height?The height of any object is define as the distance measurement of that object from the top to its base. In geometry it is also called as altitude.
Height can be measured in various quantities such as feet, inches, centimeters etc.
Some of measurements are as below.
feet to inches1 feet = 12 inches
feet to centimeters1 feet = 30.48 cm
inches to centimeters1 inch = 2.54 cm
meters to feet1 feet = 3.28 feet
In the given question,
Convert 60 inches to feet ,
60 inches = 60/12 feet = 5 feet
Given, pole shadow = 50ft
child height =3.5ft
now, Set up proportion between the ratios of the child and his shadow and the telephone pole and its shadow.
[tex]\frac{child \ height}{child \ shadow \ length} =\frac{pole \ height}{pole \ shadow \ length}[/tex]
Let, x be pole height
=> [tex]\frac{3.5}{5} =\frac{x}{50}[/tex]
now solve the equation,
3.5 ×50 = x × 5
x = 35
Thus, the pole is 35 feet tall.
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A, B, C and D are junctions on a motorway.
A B C D
distance CD= 3 x distance AB
distance BC= 25 miles
Salma drives from A to C.
She drives for 30 minutes at an average speed of 62 miles per hour.
Work out the distance AD.
Not drawn
accurately
The distance AD is 49 miles.
As per the given values of speed and time, we will calculate the distance AC. Firstly equalising the units.
As per the known fact, 60 minutes = 1 hour
30 minutes = (1/60)×30
30 minutes = 0.5 hour
Now, speed, distance and time are related as -
Speed = distance ÷ time
Distance = speed × time
Distance = 62 × 0.5
Distance = 31 miles
So, AC = 31 miles and BC = 25 miles.
Therefore, AB = AC - BC
AB = 31 - 25
AB = 6 miles
The distance AD = AC + CD
AD = 31 + 3 × AB
AD = 31 + 3 × 6
AD = 31 + 18
AD = 49 miles
Therefore, the distance between AD is 49 miles.
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The complete question is attached.
Which segment (s) are perpendicular to AB?
Answer:
B) Segment CD onlyStep-by-step explanation:
In the plane, there is exactly one perpendicular line to a line from a particular point.
We can see CD is marked as perpendicular segment and there are no more such possible segments.
Correct choice is B.
Answer:
b) Segment CD only
Step-by-step explanation:
Now we have to,
→ find the segment perpendicular to AB.
The segment will be,
→ CD (only)
* As it is 90° from the segment AB, we can say that it is perpendicular to AB.
Hence, option (b) is correct answer.
What number is equal to √9?
Answer:
3
Step-by-step explanation:
x =√9
x= 9½
Multiply both sides by the power of 2
x²=9½*²
x²= 9
x²=3²
x=3
966500 in scientific notation
9.665 x 10^5
966500.0
Move the dot to the right 5 times
a rectangle has a perimeter of 10 meters. choose ,begin emphasis,all,end emphasis, the possible dimensions of the rectangle.
The possible dimensions of the rectangle having a perimeter 10 are
1)length= 4 and bredth= 1
2)length= 3 and bredth= 2
The perimeter of rectangle=2( length of rectangle + breadth of rectangle)
Given that the perimeter of rectangle=10
10=2( length of rectangle + breadth of rectangle)
5=length of rectangle + breadth of rectangle
For a rectangle, length must be always greater than the breadth
The possible values of length of rectangle= 4 and 3
As a result,the Breadth of the rectangle will be 1 if length =4
As a result,the Breadth of rectangle will be 3 if length =2
Therefore, The possible dimensions of the rectangle having a perimeter 10 are
1)length= 4 and bredth= 1
2)length= 3 and bredth= 2
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Please help due tonight.
Answer: Choice C
This is the result of subtracting 3x from both sides. The inequality sign does not flip. It only flips if we multiply or divide both sides by a negative number.
Sep 16, 1:21:38 AM
(3x-26)°, then find the measure of
The measurement or the value of x in the given equation [tex](3x-26)degrees = 180degrees[/tex] is [tex]x=68.67[/tex]°
As per the question statement, we are supposed to find the measure of angle x in the given equation, [tex](3x-26)= 180[/tex]
Before solving this question, we should know that this question is an example of solving a linear equation in one variable.
[tex](3x-26)= 180\\3x=206\\x=\frac{206}{3} \\x=68.67[/tex]
Hence the measure of the angle x is x=68.67°
This question is a good example of solving a linear equation in one variable.
Linear Equation: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable.
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√21 √9/√63 indadicate opretion and simplifying
Sorry in my keyboard there is no symbol for squareroot
Simplify the following expression in Scientific Notation. (1.8x10⁹) (6.7 x 10¹²)
a x 10^b
a=?
b=?
the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20
Scientific notation:
Scientific notation is a method of presenting very large or very small numbers in a more simplified format. We know that whole numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers found after the decimal point needed to be represented in a more straightforward manner.
(1.8x10⁹) (6.7 x 10¹²) = 120.6×[tex]10^{20}[/tex]
Given (1.8x10⁹) (6.7 x 10¹²) =a x [tex]10^{b}[/tex]
a x [tex]10^{b}[/tex]= 120.6×[tex]10^{20}[/tex]
a=120.6 and b=20
Therefore,the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20
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Alisa has $2.00 in change. If she has 7 quarters, what is the maximum number of dimes she can have?
Emma bought a salad for $4.75 and a drink for $1.65. She had $18.35 left. How much money did she have before she bought the salad and drink
Answer: The amount she started with is $24.75
How many two-ninths are in eight-ninths?
Answer:
4
Step-by-step explanation:
2/9 + 2/9 + 2/9 + 2/9 = 8/9
mcgraw hill determine whether each relation is a function
An airplane that can travel 450 mph in still air, encounters a 30-mph headwind. How long will it take the plane to travel 1050 miles into the wind?
The time plane will take to travel 1050 miles into the wind is 2.5 hours.
What is speed?Speed is defined as the rate of change of position in unit time.
Mathematically,
Speed = Distance/Time
Now given that,
Speed of airplane in still air = 450 mph
Speed of wind = 30 mph
Distance to travel = 1050 miles
So, Actual speed of wind = 450 mph - 30 mph
⇒ Actual speed of wind = 420 mph
So, since Speed = Distance/Time
⇒ Time = Distance/Speed
⇒ Time = 1050/420
⇒ Time = 2.5 hours
Thus, the time plane will take to travel 1050 miles into the wind is 2.5 hours.
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PLEASE HELP!!!! IMPORTANT!!!!
help it due in 4 mins please
Answer:
Step-by-step explanation:
draw an open circle on point -11 and a line going towards the left. Because it is less than -11 and not equal.
Point ( open circle ) on 0 going to the right because it is greater and does not including 0.
X
-3
1
O
y =
= 2x+2
q
-2
b
2
C
व
use the table to work out!
a, b, c,d when
Y=2x+2
Answer:
y and x = 4 if wanted a dinner equation in one hand over least common multiple
There are 55 stickers in each box how many stickers are in seven boxes
Answer: 385 stickers
Step-by-step explanation:
7 boxes * 55 stickers/1 box=
7 * 55/1=
7*55=385 stickers
4x-18=x-3 will give ten points for answer asap
Answer: x=5
Good luck :)