Laylas age is 2 less than 3 times kaylas age kaylas age is 14 less than laylas age what is the sum of their ages?
Answers
Answer:
30
Step-by-step explanation:
8 Times 3 is 24, minus 2 is 22, 22 plus 8 is 30.I found this answer by just plugging some numbers in.
Related Questions
Choose the polygon with vertices U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5).
Answers
The polygon with vertices U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5) will be ''An Irregular hexagon''.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The vertices of the polygon are,
U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5)
Now,
Since, The vertices of the polygon are,
⇒ U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5)
Clearly, There are 6 vertices with irregular point.
Thus, We get;
The polygon is Irregular hexagon.
Therefore, The polygon with vertices U(–4, –5), V(–4, 4), W(–2, 4),
X(–2, 1), Y(1, 1), and Z(1, –5) will be ''An Irregular hexagon''.
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The same honey is sold in 2 different size jars. Large jar=540 for £4.10 small jar= 360 for £2.81 which jar is the best value for money?
Answers
The large jar has better value for money than the smaller one.
Which jar is the best value for money?To see which jar is the best value for the money, we need to take the quotient between the cost of each jar and the size. The smaller that value gets, the best value we have.
For the first jar we have:
q = £4.10/540 = 0.0075
For the second jar we have:
q' = £2.81/360 = 0.0078
Then we can see that the large jar has the best value for money.
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An equivalent equation for
3x + 18 = 4x + 7
Answers
Answer:
x=11
Step-by-step explanation:
\(3x+18=4x+7 \\ \\ 18=x+7 \\ \\ x=11\)
Answer:
-11
Step-by-step explanation:
3x-4x=-18+7
-1x=-11
x=-11÷-1
x=-11
help me out guys this is important id appreciate it, I'll give reward thing pls
Answers
1) True
2) False
3) True
4) False
The first is true.
The second is false.
The third is true because an integer is only whole numbers, but rational numbers include fractions.
The fourth is false. All whole numbers are integers.
What is the solution set for -4 x - 10 ≤ 2?
Answers
Answer:
X > -3
Step-by-step explanation:
Move the constant to the right hand side and change its sign
Add the numbers
Divide both sides of the inequality by -4 and flip the inequality sign
(When I say > I mean the sign you used my phone doesn’t have it )
Answer:
x is greater than or equal to -3
Step-by-step explanation:
-4 x - 10 ≤ 2
add 10 to both sides
-4x ≤ 12
divide both sides by negative 4 (when you divide by a negative number you also got to flip the sign).
x is greater than -3.
x ≥ -3
0 8. A function f(x) is said to have the jump discontinuity at a point x = a if lim a)x+a+ c) x→a+ f(x) = lim x→a+ f(x) = lim x→a¯ lim X-a f(x). b) lim x→a f(x) = lim x→a¯ _ f(x) f(x) = f(a) d) lim f(x) → +00 x→a+
Answers
The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.
What is jump discontinuity?Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.
According to the given information:
The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.
The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.
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Dan sleeps 8 hours each day. Write a simplified expression for the number of
hours Dan is awake in d days.
Answers
Answer:
8n
Step-by-step explanation:
Dan sleeps 8 hours per night
Dan sleeps in 'n' nights
8•n = 8n
One way to measure the amount of energy that a moving object (such as a car) possesses is by finding its Kinetic Energy. The Kinetic Energy (Ex, measured in Joules) of an object depends on the object's mass (m, 2Ek measured in kg) and velocity (v, measured in meters per second), and can be written as v = . m What is the kinetic Energy of an object with a mass of 1,700 kilograms that is traveling at 50 meters per second? Ek Joules The volume of a cone of sand moved by harvester ants given it's radius can be found with the following 3V formular = A mound of gravel is in the shape of a cone with the height equal to twice the radius. 2л Calculate the volume of such a mound of gravel whose radius is 4.92 ft. Use = 3.14. V = (round to the nearest whole number)
Answers
The body has a kinetic energy of 2125000 joules, and the gravel mold has a volume of 11.9 cubic units.
Given that,
The Kinetic Energy of an object depends on the object's and velocity , and can be written as v = m
Kinetic Energy of an object with a mass = 1,700 kilograms
Traveling = 50 meters per second
Radius = 4.92 ft
Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.
Kinetic Energy of a body is given by ,
1/2 mv²
Where m = mass = 1700 kg
v = velocity = 50m/s
Therefore ,
KE = 1/2 * 1700kg * 50m/s
KE = 2125000 J.
Now to calculate the volume
Let's assume that the solution to the problem will be found using your formula. If so, let's carry out the following operations when solving for v in the equation:
On multiplying the equation by 2, the outcome is
2\(r^{2}\)
=3\(\sqrt{3V}\)
To find volume
enter (v=(2\(r^{2}\))/33)
rationalize the right side of the equation's numerator.
v=(2π\(r^{2}\) )
A simplified version of 3/333 is
v=(2\(r^{2}\))3/9.
Substitute
v=(23.143.1523)/9
v=11.9.
Therefore,
The body has a kinetic energy of 2125000 joules, and the gravel mold has a volume of 11.9 cubic units.
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Which point is located at -3/2
Answers
Answer:
point B
Step-by-step explanation:
it turns in to -1 1/2
Answer:
b
Step-by-step explanation:
A food truck vendor sells small drinks for $1.15, medium drinks for $1.75, and large
drinks fro $2.25. The vendor sold a total of 1,385 drinks for a full week of business.
During the same week, his total sales were $2,238.75. During the week, he also sold
twice as many small drinks as medium drinks. Write a 3X3 system of equations that
models the vendors situation. Use s for small drinks, m for medium drinks, and g for
large drinks.
Answers
The system of equations is given by :
s + m + g = 1385
1.15 s + 1.75 m + 2.25 g = 2238.75
s = 2m
A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.
We shall employ the linear combination method to resolve a system of three equations in three variables. This time, we will solve for the third variable while eliminating the second variable using the equations that follow from the elimination of the first.
Given the number of small drinks by the vendor is s , number of medium drinks is m and the number of large drinks is g.
The vendor sold all three drinks total of 1385, hence the equation:
∴ s + m + g = 1385.
Each small drink costs 1.15 , medium drinks cost 1.75 and large drinks cost 2.25, hence the equation:
∴ 1.15 s + 1.75 m + 2.25 g = 2238.75
He sold twice as many small drinks as medium drinks, hence the equation:
∴ s = 2m
The system of equations is given by:
s + m + g = 1385
1.15 s + 1.75 m + 2.25 g = 2238.75
s = 2m
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5 out of every 8 students sureyed owns a bicycle. There are 65 bicycles. How many students were surveyed?
Answers
Answer:
104
Step-by-step explanation:
You would do this by diving 65 by 5, you get 13 then multiple that by 8.
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
Answers
Answer:
perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4
In 2005 an area vocational school had an enrollment of 325 men and 123 women. In 2006 there were 149 women. what was the percent increase of women students. The answer should be rounded to the nearest whole percent
Answers
The nearest Whole percent, the percent increase of women students is approximately 21%.
The percent increase of women students, we need to compare the number of women students in 2005 and 2006.
In 2005, the number of women students was 123.
In 2006, the number of women students was 149.
To find the increase, we subtract the initial value (2005) from the final value (2006):
Increase = Final Value - Initial Value
Increase = 149 - 123
Increase = 26
Next, we need to calculate the percent increase. The percent increase is given by the formula:
Percent Increase = (Increase / Initial Value) * 100
Plugging in the values:
Percent Increase = (26 / 123) * 100
Calculating the percent increase:
Percent Increase ≈ 21.14%
Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.
Therefore, the answer is 21%.
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Pa help pleas ineed po
Answers
Answer:
As shown in the attachment,
Step-by-step explanation:
refer to the attachment
What do you know about these two lines?
y = 6x - 1
y = -6x - 4
A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.
Answers
Explanation:
Refer to the y = mx+b form
m = slopeb = y interceptThe slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.
The slopes are not equal, so the lines aren't parallel.
The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.
Therefore, the two lines are neither parallel nor perpendicular, they just intersect.
enter the number to complete the linear combination.after substitution:gcd(85, 51) yields sequence: 85 51 34 17 0
Answers
The Greatest Common Divisor (GCD) of 85 and 51 is 17.
Greatest Common Divisor(GCD)The greatest common factor that divides two or more numbers is known as the greatest common divisor (GCD). The highest common factor is another name for it (HCF).
Explanation
Step 1: Divide 85 by 51. The quotient is 1 and the remainder is 34.
Step 2: Divide 51 by 34. The quotient is 1 and the remainder is 17.
Step 3: Divide 34 by 17. The quotient is 2 and the remainder is 0.
Step 4: Since the remainder is 0, the Greatest Common Divisor (GCD) of 85 and 51 is 17.
The GCD of 85 and 51 is 17.
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Please help
Which poly nominal has the zeros 1,-2i and 3
Answers
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.
Answers
Answer:
-15
Step-by-step explanation:
-16 -|-6| +7
-16 - 6 + 7
= - 15
Absolute value is just taking the positive value of a number.
Step-by-step explanation:
-16-(-2-4)+7=
-16-(-6)+7=
-16+6+7=
-16+13=
-3
find the quadratic polynomial, the sum of whose zeroes is 8 and their product is 12. hence, find the zeroes of the polynomial.
Answers
The required quadratic polynomial is \(x^{2} - 8x + 12 =0\) and roots of this quadratic polynomial are 2 and 6.
Let the roots of the quadratic equation be \(\alpha\) and \(\beta\) .
Given,
Sum of zeroes, \(\alpha +\beta = 8\)
Product of Zeroes, \(\alpha *\beta = 12\)
we know that,
Quadratic Equation can be written as :
\(x^{2} - (\alpha + \beta )x + \alpha \beta =0\)
Substituting the values in the above Equation,
\(x^{2} - (8)x + (12) =0\)
\(x^{2} - 8x + 12 =0\)
Hence, The required quadratic equation is \(x^{2} - 8x + 12 =0\) .
Now, let's factorize the equation to find its root:
\(x^{2} - 8x + 12 =0\)
\(x^{2} - 6x -2x+ 12 =0\)
\(x(x-6) -2(x-6)=0\)
\((x-6)(x-2)=0\)
⇒ \(x= 2,6\)
Therefore roots of the quadratic equation \(\alpha ,\beta\) are \(2,6\) .
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How many pounds are there in 2 and 1/4 tons? (1 ton = 2000 pounds)
2025
4000
4500
4525
Answers
Answer:
4,500
Step-by-step explanation:
Convert 2 1/4 to a decimal
2.25
2,000 x 2.25
= 2.25
Good luck, hope this helped!
Jan went to the mall to buy 9 crop tops but she seen 201 other and she 1,000,000,000,000,000,000,000,00 dollars
Answers
Answer: buy all the crop tops
Step-by-step explanation:
Answer:
Well with that amount of money u should most definitely buy them, if you liked the of course
Step-by-step explanation:
I'm just saying
Is a iready diagnostic score 483 for a 8th grader in math good?
Answers
Answer:
yes
Step-by-step explanation:
can learn lot and get better.
21 20 15 22 19 23 17 what is the median and range
Answers
The median would be 22:
Step-by-step explanation: The median is the number that is in the middle
Simply defined, the median is the number right in the middle of a set.
But before I get down to finding the median, I will order the numbers from least to greatest:
15, 17, 19, 20, 21, 22, 23
Now, the middle number is 20. So that's the median.
As for the range, it's the difference between the largest number and the smallest one:
Range = Greatest number - Smallest number
= 23 - 15
= 6
In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.
Crumbs Cookies was interested in seeing if there was an association between cookie flavor and whether or not there was frosting. Given are the results of the last week's orders. Frosting No Frosting Total Sugar Cookie 56 Chocolate Chip 70 136 Red Velvet 50 Total 180 400 Which category has the greatest joint frequency? Sugar cookies Cookies with no frosting Chocolate chip cookies with frosting Sugar cookies with no frosting
Answers
The category which has the greatest joint frequency is sugar cookies with a frequency of frosting and no frosting as 56 and 120 and a joint frequency of 176
Which category has the highest joint frequency?Frosting No frosting Total
sugar cookies 56 120 176
Chocolate cookie 66 70 136
Red velvet 38 50 88
Total 160 240 400
Chocolate cookies with frosting = Total chocolate cookies - chocolate cookies with no frosting
= 136 - 70
= 66
Red velvet cookies with frosting = Total cookies with frosting - (Chocolate cookies with frosting + sugar cookies with frosting)
= 160 - (56 + 66)
= 160 - 122
= 38
Total red velvet cookies = Red velvet cookies with frosting + Red velvet cookies with no frosting
= 50 + 38
= 88
Total cookies with no frosting = Total cookies - Total cookies with frosting
= 400 - 160
= 240
Total sugar cookies with no frosting = Total cookies with no frosting - (chocolate cookies with no frosting + Red velvet cookies with no frosting)
= 240 - (70 + 50)
= 240 - 120
= 120
Total sugar cookies = Total sugar cookies with no frosting + Total sugar cookies with frosting
= 120 + 56
= 176
In conclusion, the highest joint frequency is sugar cookies.
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In statistical inference for categorical data:___________.
a. Normal data is always a condition for inference.
b. Normal data is never one of the inference assumptions.
c. Normal data or large enough total sample size is one of the inference assumptions.
Answers
Answer:
b. Normal data is never one of the inference assumptions.
Step-by-step explanation:
A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.
So, there are two propositions in statistical inference for categorical data
1. That each data in a cell is independent of the others.
2. That samples are randomly drawn.
Thus, there is no room for normality.
What is the meaning of "the notion of finiteness"?
Answers
The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.
In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.
In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.
This concept is essential to the development of computer programs that are efficient, reliable, and secure.
In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.
In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.
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Which of the following ordered pairs is a solution to the graph below
(0,-4)
(-2,-6)
(8,0)
(-2,0)
Answers
Answer:
(-2, -6)Step-by-step explanation:
Graphed is the system of inequalities
The solution of the system is the darker shaded area
Only one of the given points falls to same area:
(-2, -6)the one of the given point falls to same area ;
=> (-2,-6) The required answer is (-2,-6)What is the number in the * cell? Please see photo. Thank you!
Answers
17 is the number in the * cell. This can be solved using the concept of sum of the digits.
What is sum of the digits?By adding a number's digits while disregarding place values, we may determine the number of digits in the total. So, if we know the number 598, we can compute the digit sum as 5 + 9 + 8, which gives us 23, if we have the number. The result of continually doing the aforementioned process until a single-digit result is reached.
A number's Hamming weight, also known as population count, is the sum of its binary digits; techniques for carrying out this operation have been investigated, and several computer architectures and programming languages now incorporate it as a built-in process. These processes are employed in a variety of computing-related fields, such as computer chess, coding theory, and cryptography.
We have to sum the digits:
8+8+6+3 = 25
2+5+9 = 16
1+6+2+4 = 13
and go on.
So, x = 1+3+4+9
x = 17
correct option: 17
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Does this expression represent the sum 13.76 + 2.8?
14 + 4/100
Answers
Answer:
This might be wrong.
False?
Answer:
False
Step-by-step explanation:
14 plus 4/100 equals 14.04
13.76 plus 2.8 equals 16.56
In a class of students, the following data
table summarizes how many students have a
cat or a dog. What is the probability that a
student chosen randomly from the class has
a cat?
Has a dog
Does not have a
dog
Has a cat
2
3
Does not have a
cat
12
10
Answers
The table can be summarized as follows:
| | Has a dog | Does not have a dog |
|----------|-----------|---------------------|
| Has a cat | 2 | 3 |
| Does not have a cat | 12 | 10 |
To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.
The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.
The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.
So, the probability that a student chosen randomly from the class has a cat is 5/27.