Using the distance formula, the length of the line between the two given points is: 5.8 units.
How to Find the Length of a Line Between Two Points Using the Distance Formula?To find the length of the line between two endpoints, the distance formula that is used is:
d = [tex]\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Given the points:
C(-5, 6) = (x1, y1)
D(-2, 1) = (x2, y2)
Plug in the values
CD = √[(−2−(−5))² + (1−6)²]
CD = √[(3)² + (−5)²]
CD = √(9 + 25)
CD = √34
CD ≈ 5.8 units
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There are a total of twenty ghosts, witches, and scarecrows at the haunted house. The number of witches is four less than the number of ghosts. The number of scarecrows is two less than the number of witches. How many witches and ghosts are at the haunted house?
Answer:
There are 10 ghosts, 6 witches, and 4 scarecrows
Step-by-step explanation:
20 = ghosts, witches, and scarecrows.
ghost = x
20 = x + (x-4) + (x-4-2)
20 = 3x-10
30 = 3x
x = 10
10 = ghosts
10-4 = 6 = witches
10-4-2 = 4 = scarecrows
The number of witches and ghosts at the haunted house are 6 and 10 respectively.
Given that, a total of twenty ghosts, witches, and scarecrows at the haunted house.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of ghosts be x.
Here,
The number of witches is four less than the number of ghosts
Witches =x-4
The number of scarecrows is two less than the number of witches
Scarecrows =x-4-2
= x-6
Total=x+x-4+x-6
3x-10=20
⇒3x=30
⇒x=10
So, number of witches = 6 and number of scarecrows=4
Therefore, the number of witches and ghosts at the haunted house are 6 and 10 respectively.
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a bicylist started riding at 8:00 am the digram below shows the distance the bicylist had traveled at diffrent times. what was the bicylist average rate of speed in miles per hour
there is no answer because there is no .Th in what ever you ate trying to talk abput
Is 33/2 a terminating or a repeating decimal?
Answer: Terminating
Step-by-step explanation:
I'm pretty sure because 16.5 isn't repeating
Answer:
Terminating decimal
Step-by-step explanation:
33/2=16.5
the decimal point does not go on forever so its a terminating decimal
The bakers at Healthy Bakery can make 310 bagels in 5 hours. How many bagels can they bake in 18 hours?
Answer:
Step-by-step explanation:
310/5=62 so he makes 62 in 1 hour
62x18=1116 so he makes 1116 in 18 hours
Which graph has exactly one x intercept and one y-intercept?
Answer:
B
Step-by-step explanation:
graph A has 1 y- intercept at (0, 1 )
graph B has a y- intercept at (0, 2 ) and an x- intercept at (- 3, 0 )
graph C has an x- intercept at (2, 0 )
graph D has an x- intercept at (2, 0 )
graph B has exactly one x- intercept and one y- intercept
A scale drawing of a school bus has a scale of 1/2 inch to 5 feet.If the length of the school bus is 4 1/2 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.
The actual length of the bus is 45 feet.
Given that, a scale drawing of a school bus has a scale of 1/2 inch to 5 feet.
What is a scale factor?Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size.
Here, [tex]4\frac{1}{2} = \frac{9}{2}[/tex]
Let the actual length of the bus be x.
Now, the proportion is
1/2 : 5 :: 9/2 : x
⇒ x/2 = 45/2
⇒ x = 45 feet
Therefore, the actual length of the bus is 45 feet.
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Question
Divide.
16.85÷5
Answer:3.37
Here hope this helps
A concert lasts 1 hour and 30 minutes during the concert orchestra plays for 72 minutes. how long will they play if the concert is 2 hours and 45 minutes long?
PLEASE HELP
If the concert is 2 hours and 45 minutes long, then the length of time for which the orchestra is played is; 132 minutes.
How long will they play the orchestra of the concert is 2 hours and 45 minutes long?It follows from task content that the length of time for which the orchestra is played be determined by proportion.
Since the number of minutes in 1 hour 30 minutes is; 90 minutes while the number of minutes in 2 hour 45 minutes; 165 minutes.
It therefore follows from proportion that the time for which the orchestra is played in a 2 hours and 45 minutes is;
72/90 = x/165
x = (165 × 72)/90
x = 132 minutes.
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What can be subtracted from 2/3 to equal 7/12
Answer:
-1/12
Step-by-step explanation:
7/12 -2/3 = - 1/12
Check
-1/12+2/3=7/12
What is the equation of a line that has an x-intercept of -4 and a y-intercept of 8?
y = -2x+8
y = 2x + 8
y=-2x - 4
y = 2x 4
y = - 1/2x is equation of slope-intercept form .
What is the meaning of slope-intercept form?
A straight line has an equation of the type y = mx + b, where m is the slope and b is the y-intercept.Examples. The equation for a line with a slope of 5 and a y-intercept of 3 is given by the example of the Slope Intercept Form, y = 5x + 3. A line with a slope of 2 and a y-intercept of 6 has the equation y = 2x + 6 as its equation.x-intercept = -4
y = -4
y-intercept = 8
x = 8
slope = -y/x ⇒ -4/8 = -1/2
the equation of slope Intercept Form
y = mx + c
points ( x, y) are ( 8 , -4) put in equation
- 4 = -1/2 * 8 + c
- 4 + 4 = c
c = 0
put value of c in equation
y = -1/2x + 0
y = - 1/2x
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Each month, members of the museum either renew or cancel Month Members lost Members Added Net Change in Members January "-13" 89 February "-28" 12 March "-67" 54 April "-3" 17 From the table above,what is the total change in members? Flag question: Question 6 Question 61 pts From the table above, what is the average change over the four months?
1. The total change in the members is 61.
2. The average or mean vhange over the four months is 15.25.
How to calculate the value?1. The total change in the members based on the information will be the addition of the values given. This will be:
= (-13 + 89) (-28 + 12) + (-67 + 54) + (-3 + 17)
= 76 -16 - 13 + 14
= 61
The change is 61.
2. The average change over the four months will be the addition of the values divided by 4. This will be:
= Total change / 4
= 61 / 4
= 15.25
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Please please please help, due in 10 minutes!!! Anyeny bought 3/4 pound of raspberries for $6. What is the cost of 1&1/4 pounds of raspberries?
Answer
The cost of 1 and (1/4) pounds of raspberries is $10.
Explanation
Anyeny bought (3/4) pounds of raspberries for $6.
What is the cost of 1 and (1/4) pounds of raspberries.
[tex]1\frac{1}{4}=\text{ }\frac{5}{4}[/tex]
(3/4) pounds = $6
(5/4) pounds = x dollars
Creatin a mathematical relation by cross multiplying
(3/4) × x = (5/4) × 6
[tex]\begin{gathered} \frac{3}{4}\times x=\frac{5}{4}\times6 \\ \frac{3x}{4}=\text{ }\frac{30}{4} \\ \text{Cross multiply} \\ 3x\times4=30\times4 \\ 12x=\text{ 120} \\ \text{Divide both sides by 12} \\ \frac{12x}{12}=\frac{120}{12} \\ x=10 \end{gathered}[/tex]Hence, the cost of 1 and (1/4) pounds of raspberries is $10.
Hope this Helps!!!
Michael Scott has 48 boxes of paper and 12 boxes are shipped out of his warehouse every hour.
The time it would take Michael Scott to ship all the boxes is 4 hours.
How many hours would it take to ship all the boxes?In order to determine the hours it would take to ship all the boxes, divide 48 boxes by the number of boxes shipped per hour.
Division is the mathematical process that is used to group a number into equal parts using another number. The result of the division process is known as quotient. The sign that is used to represent division is ÷. Other operations that are used in mathematics include addition, multiplication and subtraction.
Time it would take to ship all the boxes of paper = total number of of boxes / boxes shipped per hour
48 / 12 = 4 boxes per hour
Here is the complete question:
Michael Scott has 48 boxes of paper and 12 boxes are shipped out of his warehouse every hour. How many hours would it take to ship all the boxes?
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Find the 9th term in the sequence.
-28, 172, 372, 572, 772,
Answer:
1572 is the answer.
Step-by-step explanation:
-28,172,372,572,772
divide by 4:-
-7,43,93,143,193
Here common difference is +50.
So,
using the formula:-
nth term = {a+d(n-1)} * 4
= {-7 + 50(n-1) } * 4
= {-7 + 50n - 50} * 4
= 200n - 228
Now,
9th term = 200(9) - 228 = 1572.
(b) Estimate the percentage of customer accounts for which the number of days is between 21 and 35.Almost allof the customer accounts have payment made between 21 and 35 days.
Given Information:
Average number of days = 28
Standard deviation = 7
Required Information:
Between what two values will approximately 95% of the number of days be?
Solution:
Recall the Empirical Rule,
68% of the data fall within 1 standard deviation from the mean.
95% of the data fall within 2 standard deviations from the mean.
99.7% of the data fall within 3 standard deviations from the mean.
Since we are asked for 95%
Lower limit = μ - (2)σ
Upper limit = μ + (2)σ
Where μ is the average number of days and σ is the standard deviation.
Lower limit = 28 - (2)7 = 28 - 14 = 14 days
Upper limit = 28 + (2)7 = 28 + 14 = 42 days
Part (b)
Estimate the percentage of customer accounts for which the number of days is between 21 and 35.
Lower limit = 21
Upper limit = 35
Lower limit = μ - (x)σ
21 = 28 - (x)7
(x)7 = 28 - 21
(x)7 = 7
x = 7/7 = 1
Which means that 68% of the customer accounts have payment made between 21 and 35 days.
Darren claims if he increases a number by 10% and increases his answer by 10%, that that would be an increase of 20% overall. Show Darren is incorrect.
The most appropriate choice for Percentage will be given by
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. Then that number is called percentage.
For example, 2% means [tex]\frac{2}{100}[/tex]
Here,
Let the number be x
On increasing x by 10%, result = [tex]x + \frac{10}{100} \times x[/tex]
= [tex]x + \frac{x}{10}[/tex]
= [tex]\frac{10x +x}{10}[/tex]
= [tex]\frac{11x}{10}[/tex]
Now on increasing his answer by 10 %, result =
[tex]\frac{11x}{10}+\frac{10}{100}\times \frac{11x}{10}\\\frac{11x}{10} + \frac{11x}{100}\\\frac{110x + 11x}{100}\\\frac{121x}{100}[/tex]
Total increase in number = [tex]\frac{121x}{100} - x[/tex]
= [tex]\frac{121x-100x}{100} \\[/tex]
= [tex]\frac{21x}{100}[/tex]
Percentage increase = [tex]\frac{\frac{21x}{100}}{x} \times 100[/tex]
= 21%
Percentage increase overall = 21 %
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what is the slope.example answer:m=1
The slope of the given line 2 / 3
What is a slope ?Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
The given graph indicates that the two points are :
A( 3 , 0 ) and B (0 , -2 )
Thus the slope can be given by the formula mentioned below :
[tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
this means - 2 - 0/ 0 - 3
= - 2/ -3
2 / 3
Thus the slope of the given line 2 /3
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The perimeter of the figure below is 60.7 ft. Find the length of the missing side. 7.2 ft 4.1 ft 4.1 ft 4.1 ft 4.1 ft 12.8 ft ? 1.9 ft 1.9 ft 7.2 ft (Note: diagram is NOT to scale)
we know that
The perimeter of the figure is equal to the sum of its length sides
so
P=7.2(2)+4.1(2)+4.1(2)+12.8+1.9(2)+x
Combine like terms
P=47.4+x
Remember that
P=60.7 ft
substitute
60.7=47.4+x
x=60.7-47.4
x=13.3 ft
therefore
the answer is
13.3 ftHELP ME PLS I NEED TO GET 5 of these done!
The value of y which is calculated from the perimeter given = 7
What is perimeter?Perimeter is defined as the sum total of all the sides of an object. Therefore the perimeter of a square is the sum of the four sides = a+ b+ c +d
The perimeter of the square= 132 units.
The given sides = 2(4y + 3) and ,2(5y)
That is,
132 = 2(4y + 3) + 2(5y)
132= 8y + 6 + 10y
132 = 18y + 6
Make 18y the subject of formula;
18y = 132-6
18y = 126
y = 126/18
y= 7
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f(x) = 2x + 2 in graph form
I am SO confused. Are < and > the signs that have a closed dot on a number line, or do they have an open one? Please help!
The symbols '>' and '<' have an open dot when displayed on the number line.
Why do the prescribed symbols have an open dot and not a closed dot?
The '>' and '<' symbols have an open dot on the number line because the number that succeeds the symbol is not considered while plotting the range of values that would satisfy any given equation.
Moreover, if a closed dot is put in there, the whole solution becomes incorrect as an unwanted value gets included in the range of values of the domain of the given function.
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in a bag of marbles there are 3 green marbles, 2 red marbles, and 5 blue marbles. you randomly select two marbles from the bag where the first marble is not put back into the bag. what is the probability of getting two blue marbles?
The probability is 1/9.
What is probability?Probability is the possibility that something is going to occur.Whenever the outcome of an event is uncertain, we can speak of the probability, or likelihood, of a particular outcome. Analyzing events according to their probabilities is called statistics. Probability is calculated by dividing the number of ways an event can occur by the total number of outcomes. Probability and odds are different concepts. Probability mainly he has three types. theoretical probability. experimental probability. axiomatic probability. A simple probability is a calculation of the probability of an outcome or event occurring. Insurance companies use probability statistics to determine the likelihood that a claim will have to be paid. A simple probability is calculated by dividing a specific outcome by all possible outcomes.To learn more about probability from the given link :
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HELLOOO HELPPPPP PLSSSSSSSS HELPPPPPPPPPPPPP
B= 81 sq. ft
B= 9C
Wc= 3 ft
Lc= ?
9C = 81
C = 9
C= L * W
9= L * 3
L = 3 ft
Answer:
3 ft
Step-by-step explanation:
Area of bedroom = 81 ft^2
Arear of closet = Area of bedroom/ 9
= 81/9= 9 ft^2
9= width × length
length = 9÷ width = 9 ÷ 3 = 3
a conctractor purchases 7 dozen pairs of padded work gloves for 103.32 he incorrectly calculates the unit price at 14.76
The correct unit price of a pair of gloves is 1.23
What makes up a dozen?
The dozen of pairs of the gloves, contains 12 pairs each, which means that the total number of pairs in 7 dozens, is 12 multiplied by 7 as computed below:
number of pairs in 7 dozens=7*12
number of pairs in 7 dozens=84
In other words, instead of dividing the total cost of 103.32 by 7 to determine the unit price, we need to divide the total cost by 84 pairs found in 12 dozens instead
unit price=total cost/84
unit price=103.32/84
unit price=1.23
Note, that the unit price is for a pair since each pair is seen as a unit in this case as only one glove is useless
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if g(x)=3x+2 find 2g(9)
ANSWER:
The resulting value is 58
STEP-BY-STEP EXPLANATION:
We have the following function
[tex]g(x)=3x+2[/tex]They tell us that x = 9, therefore
[tex]2g(9)=2\cdot(3\cdot9+2)=2\cdot(27+2)=2\cdot29=58[/tex]Answer this easy IXL question please
Answer:
∠C = 30°
Step-by-step explanation:
Trigonometry:[tex]\sf Tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}[/tex]
[tex]\sf = \dfrac{5\sqrt{41}}{5\sqrt{123}}\\\\=\sqrt{\dfrac{41}{123}}\\\\=\sqrt{\dfrac{1}{3}}\\\\= \dfrac{1}{\sqrt{3}}[/tex]
[tex]\sf C =tan^{-1} \ \dfrac{1}{\sqrt{3}}[/tex]
= 30°
What is 7% of 13.40$
-13 = p/7
WILL MARK BRAINLIEST!!
Answer:
-91
Step-by-step explanation:
-13 x 7
List -2.7, -2.27, -2.3, -0.35 from least to greatest
A number with a whole number and a fractional component separated by a point is referred to as a decimal.
What is meant decimal places?A number with a whole number and a fractional component separated by a point is referred to as a decimal.
The word Decimus, which means tenth in Latin, is derived from the base word Decem, or 10. As a result, the decimal system, often known as a base-10 system, has 10 as its fundamental unit.
The tenth place is represented by the first digit following the decimal. The hundredth place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. There are various ways to represent numbers in the decimal system referred to as decimal notation.
Therefore, the correct answer is -2.7, -2.3, -2.27, -0.35.
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Find the value of x.
The value of x in the given diagram is 16
Calculating angles and the values of variablesFrom the question, we are to determine the value of x
In the given diagram,
|WX| = |WY| =
∴ ΔWXY is an isosceles triangle
By the Isosceles triangle theorem, we have that the base angles of an isosceles triangle are equal
Thus,
∠X = ∠Y
62° = (4x - 2)°
Now, solve for x
62° = (4x - 2)°
62 = 4x - 2
62 + 2 = 4x
64 = 4x
x = 64/4
x = 16
Hence,
The value of x is 16
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