We have a vertical line, so we have an undefined slope.
How to get the slope of the line?The general linear equation in the slope-intercept form is given by:
y = m*x + k
Where we define k as the y-intercept and m as the slope.
If we know that the line passes through two points (a, b) and (c, d), then the slope is given by the formula:
m = (d - b)/(c - a)
In this case we have the points (6,-8) and (6,-3), then the slope will give:
m = (-3 + 8)/(6 - 6)
Notice that the denominator becomes zero, so we have a "slope of infinity", thing that happens for vertical lines
Basically, these lines have undefined slopes, so that is the correct answer.
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What is an equation of the line that passes through the point (4,−3) and is perpendicular to the line 4x+y=3
Answer:
[tex]y = \dfrac{1}{4} x - 4[/tex]
Step-by-step explanation:
Slope intercept form of line equation is y = mx + b, m = slope, b = y-intercept
Slope of line perpendicular to y =m x + b will have slope - (1/m)
4x+y=3 can be re-written as
y = -4x + 3
Slope = -4
Slope of line perpendicular to this line is - (1/-4) = 1/4
Line equation: y = (1/4) x + b
Plug in x, y values from given point into this line equation to find b
-3 = 1/4 x 4 + b
-3 = 1 + b
-3 -1 = b
b = -4
So equation of perpendicular line is y = (1/4)x - 4
Aditi bought 20 apples at Rs25 each and sold them at Rs 32 each. what is her total profit
Answer:
Rs 140
Step-by-step explanation:
Rs 25 is the amount of money she bought the apples
Rs 32 is the amount of money she sold the apples
32 - 25 = $7 profit per apple
7 Rs multiplied by 20 apples is equal to Rs 140 in profit.
Hope this helps!
Yesterday, Carlos had b baseball cards. Today, he got 11 more. Using b , write an expression for the total number of baseball cards he has now.
The expression for the total number of baseball cards he has now is
b + 11.
A formula is a statement containing at least two numbers/variables and at least one mathematical operation. An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division. The terms that appear in the formula are Constant: A constant is a fixed number. Variables: Variables are symbols that do not have fixed values.Term: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division. Coefficient: A coefficient is a number that is multiplied by a variable in an expression.It is given that Carlos had " b " baseball cards.
Then, he got 11 more baseball then the number of baseballs will be
[tex]b+11[/tex]
Hence , the total number of baseballs are b + 11
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Set D is the set of positive two-digit even numbers less than 25 that do not contain the digit 0.
The required set of positive two-digit even numbers less than 25 that do not contain the digit 0 is 12,14,16,18,22,24.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
Set D is the set of positive two-digit even numbers less than 25 that do not contain the digit 0.
According to given question we have
2-digit numbers are the numbers that have two digits and they start from the number 10 and end on the number 99.
Starting at 12 going up the two digit numbers even numbers less than 25 that do not contain the digit 0.
12,14,16,18,22,24
Therefore, the required set of positive two-digit even numbers less than 25 that do not contain the digit 0 is 12,14,16,18,22,24.
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Can someone please help me? :(
The inequality to represent the last statement that was made by Mai will be t <= 2.
How to illustrate the information?It should be noted that an equation simply means the relationship that can be used to show the relationship among the variables.
It should be noted that the last statement made by Mai is that I think triathlon athletes generally train for no more than 2 hours a day.
Therefore, the inequality to represent this will be t <= 2.
where t = number of hours trained.
This implies that t is less than or equal to 2 hours
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Mai said, "I'm not sure the graph is right. For example, the point is in the shaded region, but it's not realistic for an athlete to swim for 10 hours and bike for 3 hours in a training session! I think triathlon athletes generally train for no more than 2 hours a day."
Write an inequality to represent Mai's last statement.
Ashley is the oldest of four siblings whose ages are consecutive even integers. If the sum of their ages is 100, find Ashley's age.
Answer:
28 yearsStep-by-step explanation:
Given conditions:Ashley is the oldest sibling There are four siblings Sum of their ages are consecutive even integers Sum of their ages is 100To Find :Ashley's age.Solution :Let,
One of the siblings age be = x
So, the other siblings ages are = x+2, x+4 and x+6
Since,
Ashley is the oldest sibling so his age is x + 6
∴ By the problem,
=> x + (x+2) + (x+4) + (x+6) = 100
(Now adding up the like terms we get)=> 4x + 12 = 100
(Transposing the like terms to same sides)=> 4x = 100 - 12
(Subtracting the like terms)=> 4x = 88
(Dividing both sides by 4)=> x = 22
Now,
We got the age of the youngest one that is 22 years
As,
Ashley is the oldest sibling so his age is
= 22 + 6 = 28 years
Hence,
The age of Ashley is 28 years (Ans)
Answer:
28 years old
Step-by-step explanation:
100/4 = 25
The ages are consecutive even numbers,
so add 1 to and subtract 1 from 25.
Add 3 to and subtract 3 from 25.
Ages: 22, 24, 26, 28
Ashley is the oldest: 28 years old
5n – 6 > 8n – 3n solve please
The given equation 5n – 6 > 8n – 3n does not satisfy the inequality conditions.
What is referred as inequality?In mathematics, an inequality is a connection between two expressions as well as values that aren't equal to each other. Inequality results from a lack of balance.a statement of an order relationship among two numbers or algebraic expressions (greater than, greater than or comparable to, less than, or less than or equal to).The given inequality is;
5n – 6 > 8n – 3n
Ad 3n on the both side of inequality.
5n – 6 + 3n > 8n – 3n + 3n
Now, subtract the variable part,
8n - 6 > 8n
Subtract 8n both side.
8n - 6 - 8n > 8n - 8n
0 - 6 > 0
-6 > 0
But, -6 not not greater than 0.
Thus, the inequality is not valid.
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1/7 + (-3/4)
1/6 + (-4/9)
need help with these two questions, I’m very tired atm
Step-by-step explanation:
first question:
1/7 - 3/4 LCM : 28
4/28 - 21/28
= -17/28
second equation:
1/6 - 4/9 LCM : 36
6/36 - 16/36
= -10/36
= -5/14
( I believe these are the answers )
Katie gets a 20% pay rise. Her new wage is £264 per week. What was her wage before
the pay rise?
The wage of Katie before pay rise or the value of old wage is equal to $220.
What is percentage ?
Percentage is calculated by dividing the value by the total value, and then multiplying the result by 100.
It is given that the new wage is $264 as Katie gets a 20% pay rise.
Let's assume the old wage be x.
The new wage can be written as :
x + (20x / 100)
This is equal to $264.
i.e.,
(x + 20x/100) = 264
or
120x/100 = 264
Let's solve this expression to get the value of old wage.
120x = 264 × 100
or
120x = 26400
or
Old wage (x) = $220
Therefore , the wage of Katie before pay rise or the value of old wage is equal to $220.
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. your customer is looking for new flooring for their kitchen. the room is 14’ x 24’. 4 boxes of flooring will cover 100 sq. ft. how many boxes will be needed to cover the kitchen floor?
The total number of boxes required to cover the kitchen floor is 14.
The dimensions of the kitchen floor are 14' × 24'
⇒Length of the kitchen floor = 14 feet
⇒Width of the kitchen floor= 24 feet
The area of the kitchen floor= Length × Width
⇒ Area = 14 × 24
⇒ Area = 336 sq. ft.
Since, 4 boxes of flooring cover 100 sq. ft.
∴1 box will cover = 100/4 sq. ft.
⇒25 sq. ft.
Now, Number of boxes required to cover the floor of the kitchen will be,
⇒ Area of the floor / Area covered by 1 box of flooring
⇒336/25
⇒ 13.44
∴ The total number of boxes required to cover the kitchen floor is 14 (rounded up from 13.44).
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please help me its due please
Answer:
0<x<4
Step-by-step explanation:
Ok, so the question is basically asking where balls height goes up, then down. So the x has to be in the middle of a bounce. That means that x has to be 0, 4, 6, or 8. So the number on the left side must be one of the numbers I just listed. And then the number on the right must be the end of the bounce, so it would be either 4, 6, 8, or 10. So then your answer after looking must be 0<x<4
Write 0.4444 as a fraction in lowest terms:
Answer:
1111/2500
Step-by-step explanation:
Find a quartic function with the given x -values as its only real zeros. x=-4 and x=-1 .
If you are emphasizing on the fact that these are its only real roots, then maybe the function has any other 2 imaginary roots, so there wouldn't be any specific equation that you're looking for.
However if you mean that these real roots are the only roots of this function, meaning that they are double roots, we can argue that:
[tex]f(x) = (x + 4) {}^{2} (x + 1) {}^{2} \\ f(x) = (x {}^{2} + 8x + 16)(x {}^{2} + 2x + 1) \\ expand \: by \: multiplying \: each \: term \: by \: the \: other \: 3 \\ f(x) = x {}^{4} + 10x {}^{3} + 33x {}^{2} + 40x + 16[/tex]
A company had $50,000 to invest in three funds. after one year it had $54,500. the growth
fund returned 12%, the income fund returned 8%, and the money market fund returned 5%.
the company invested twice as much in the income fund as in the money market fund. how
much did it invest in each fund?
The amount invested in the growth fund, income fund and money market fund is 20000, 20000 and 10000 respectively
Let the amount invested in the growth fund, income fund and money market fund be x, y and z respectively
As per the question, the company invested twice as much in the income market as in the money market
Therefore,
y = 2z
Equations will be:
x + 2z + z = 50000
12/100x + (8/100)*2z + 5/100z = 4500
Solving the equations
x + 3z = 50000
12x + 21z = 450000
Multiplying the first equation by 7 for equating
7x + 21z = 350000
12x + 21z = 450000
Equating these two we get
5x = 100000
x = 20000
Putting x = 20000 in 7x + 21z = 350000
z = 10000
2z = 20000
So, the amount invested in the growth fund, income fund and money market fund is 20000, 20000 and 10000 respectively
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Write the expression in exponential notation.
27 27 27 27
O 274
O 427
.
O 331, 776
O 27.4
Answer:
27^4
2.74*10^2
4.27*10^2
Step-by-step explanation:
in exponential notation the number is expressed like this.
PLEASE HELP THIS IS URGENT
Answer:
Javier gets to 1000 first in 23 weeks
Step-by-step explanation:
Let J = Javier
Let S = Shane.
S = 640 + 15 every week.
J = 425 +25 every week. Make a time chart.
640 (week 0), 655 (week 1), 670 (week 2), 685 (week 3), 700 (week 4), 715 (week 5), 730 (week 6), 730 (week 7), 745 (week 8), 760 (week 9), 775 (week 10), 790 (week 11), 805 (week 12), 820 (week 13), 835 (week 14), 835 (week 15), 850 (week 16), 865 (week 17), 880 (week 18), 895 (week 19), 910 (week 20), 925 (week 21), 940 (week 22), 955 (week 23),
425 (week 0), 450 (week 1), 475 (week 2), 500 (week 3), 525 (week 4), 550 (week 5), 575 (week 6), 600 (week 7), 625 (week 8), 650 (week 9), 675 (week 10), 700 (week 11), 725 (week 12), 750 (week 13), 775 (week 14), 800 (week 15), 825 (week 16), 850 (week 17), 875 (week 18), 900 (week 19), 925 (week 20), 950 (week 21), 975 (week 22), 1000 (week 23)
the three medians of a triangle meet at a point called the ____
Answer: The three medians of the triangle are concurrent. The point of concurrency is called the centroid. Point A is the centroid of the triangle.
Step-by-step explanation:
Answer:
Centroid.
Step-by-step explanation:
This point is where the three medians of a triangle meet. The median in a triangle is the line between a vertex and the opposite side.
sum of 4(3x + 2) – 9 this is for algebra 2
Answer:
[tex] \sf \: 12x−1[/tex]
Step-by-step explanation:
Let's simplify step-by-step.
4(3x+2)−9
Distribute:
=(4)(3x)+(4)(2)+−9
=12x+8+−9
Combine Like Terms:
=12x+8+−9
=(12x)+(8+−9)
=12x+−1
=12x−1
In 1812, an earthquake of magnitude 7.9 shook New Madrid, Missouri. Compare the intensity level of that earthquake to the intensity level of each earthquake below.
magnitude 6.9 in Kobe, Japan, in 1995
The intensity level of the earthquake was compared to the intensity level of each earthquake below
1) The earthquake at New Madrid was of greater intensity than earthquake at San Francisco.
2) The earthquake at New Madrid was of lesser intensity than earthquake at Valdivia.
3) The earthquake at New Madrid was of greater intensity than earthquake at Charlottesville.
4) The earthquake at New Madrid was of greater intensity than earthquake at San Francisco.
In mathematics, the greater than sign is a basic mathematical notation used to represent an inequality between two values.
The symbol used to denote greater inequality is “>”. It is the commonly accepted mathematical notation of two strokes of equal length that meet at an acute right angle.
A typical use of the greater than sign is to compare two values, where the first is greater than the second, or one is greater than the other.
The greater than sign is an approximation of a closing square bracket.
Hence, The magnitude of the earthquake was compared to each earthquake's magnitude above.
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The question is incomplete. The complete question is
In 1812, an earthquake of magnitude 7.9 shook New Madrid, Missouri. Compare the intensity level of that earthquake to the intensity level of each earthquake below.
1. magnitude 7.7 in San Francisco, California, in 1906
2. magnitude 9.5 in Valdivia, Chile, in 1960
3. magnitude 3.2 in Charlottesville, in 2001
4. magnitude 6.9 in Kobe, Japan, in 1995
8 4/5 - 5 1/10 math.
Answer:
3 7/10
Step-by-step explanation:
8 4/5 - 5 1/10
8 8/10 - 5 1/10
8 - 5 = 3 8/10 - 1/10 = 7/ 10
3 7/10
Luis says figure Y is a rotation of figure X. Explain Luis’s error.
Answer:
Figure Y is not a rotation of figure X because the length of individual side is different.
Step-by-step explanation:
Figure Y is not a rotation of figure X because the length of individual side is different.
The number of hamburger sales per week at a fast food restaurant is 350. The number of weekly sales goes down by 30. 0 hamburgers per week when the price of a hamburger is increased by 12%. Find the relative change in weekly sales
The relative change in weekly sales is mathematically given as
relative change= -12.857%
This is further explained below.
What is the relative change in weekly sales?This Sale per week after the price decreases
=350-45
=305
Generally, the equation for relative change is mathematically given as
[tex]\left(\frac{\text { final Value - Intial value }}{\text { Intial value }}\right) \times 100 \%$[/tex]
Hore final value =305 week
Initial Value =350 week
Relative Change[tex]=\left(\frac{305-350}{350}\right) \times 100[/tex]
[tex]&=\frac{-45}{350} \times 100[/tex] \\
=-12.857%
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What is the mode of the following set of numbers? {16, -10, 13, -8, -1, 5, 7, 10}
Answer:
there is no mode
Step-by-step explanation:
a mode is a number that appears more than once in a set of numbers which3+10(9x+4)=763 what is my answer
Answer:
x = 8
Step-by-step explanation:
3 + 10(9X + 4) = 763 Distribute the 10
3 + 10(9x) + 10(4) = 763
3 + 90x + 40 = 763 Combine like terms
90x + 43 = 763 Subtract 43 from both sides
90x = 720 Divide both sides by 90
x = 8
Answer:
x=8
Step-by-step explanation:
Ratios equivalent to 1:7
Answer:
2:14
Step-by-step explanation:
[tex]\frac{1 \times 2}{7 \times 2} = \frac{2}{14}/2:14[/tex]
What is (11-3) divided by 2+1 step by step
Answer:
8.5
Step-by-step explanation:
11-3/2-1
11-1.5-1
9.5-1
8.5
Please help with this question
It should be noted that writing 6300kg in grams, and giving your answer in standard form is 6.3 × 10^6.
How to illustrate the information?From the information, a bricklayer needs to order 6300kg of building sand. Write 6300kg in grams, giving your answer in standard form.
1 kilogram = 1000 grams
6300 kilograms = x grams
6300 × 1000 = x
x = 6,300,000 grams
Therefore, writing 6300kg in grams, and giving your answer in standard form is 6.3 × 10^6.
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Deepa needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged her $167 for parts. The total was $655.75. Write and solve an equation which can be used to determine
x
x, the cost of the labor per hour.
Answer:
Step-by-step explanation:
if you're using Del Math (yk what i'm talking about) it requires you to have a specific way of putting it.
The equation is going to be:
4.25x + 167 = 655.75
your x is going to be:
115
I hope this helps!
For the explanation hopefully, this will make sense (english isn't my first language)
So you know the number of hours: 4.25
cost of the parts: 167
total cost: 655.75
then finally the cost per hour: x
----
so now when you write your equation you're going to end up with the total number of hours (times the cost per hour) added to the cost of the parts, then the remaining will be your total cost. This is how I pictured the equation portion in my head.
for the actual solving part you subtract the cost of the parts from itself as well as the total which should leave you with: 4.25x = 488.75
then you're going to divide 4.25 from each side, as you do.
Then you have the cost of labour per hour: 115
The equation to find the cost of the labor per hour is:
167 + 4.25C = 655.75
The cost of the labor per hour is $115.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Number of hours worked = 4.25
Cost of the parts used = $167
Total cost = $655.75
Now,
We can write an equation to find the C = cost per hour.
167 + 4.25C = 655.75
Solve for C.
167 + 4.25C = 655.75
4.25C = 655.75 - 167
4.25C = 488.75
C = 115
Thus,
The cost of the labor per hour is $115.
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the personal identification numbers (pins) for automatic teller machines (atms) usually consist of four digits. suppose pins are assigned at random so that all 4-digit numbers are equally likely. what is the probability that a pin assigned at random has at least one 0? (round your answer to 4 decimal places.)
In the given statement is:
The Personal identification numbers (pins) for automatic teller machines (atms) usually consist of four digits. suppose pins are assigned at random so that all 4-digit numbers are equally likely.
To find probability that a pin assigned at random has at least one 0
To create a PIN that doesn't include any zeroes means choosing each digit from among the 9 non - zero digits. The number of such PINs is
[tex]9^{4}[/tex] = 6,561
The rest of the PINs must then include one or more zeroes, and the number of is
10,000 - 6,561 = 3, 439
If a PIN is chosen at random, the probability that it does include at least one zero is then the ratio
Hence, The final answer is : [tex]\frac{3,439}{10,00} = 0.3439[/tex]
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You can replace the values in a problem with
___________ so that it's easier to use mental
math to complete the computation.
You can replace the values in a problem with letters or words so that it's easier to use mental math to complete the computation.
This is further explained below.
What are letters or words?Generally, A word may also refer to both a string of letters that are denoted by a certain meaning and the space that separates those characters from one another.
A graphic representation of a spoken sound is often written or printed and is the basic building block of an alphabet.
In conclusion, You may make it simpler to compute using mental math by changing the numbers in a problem to letters or words, which will make it possible for you to solve the issue more quickly.
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