Answer:
I'll try to help you
:)
..........
If K is the midpoint of JL, JK=8x + 11 and
KL=14x-
- 1, find JI
The measure of JL from the given parameters is 54
Midpoint of a lineThe midpoint of a line is the line that divides the line into two equal parts. If K is the midpoint of JL, then the measure of KK is equivalent to the measure of JK. Mathematically;
JK = KL
JK + KL = JL
Given the following parameters
JK=8x + 11 and
KL=14x- 1
Equate
8x+11 = 14x-1
-6x = -12
x = 2
Determine JL
JL = 2(8x+11)
JL = 2(16+11)
JL = 54
Hence the measure of JL from the given parameters is 54
Learn more on midpoint here: https://brainly.com/question/5566419
#SPJ1
Mr. Daniels is organizing a class trip. He wants to spend less than $300. Which inequality represents the cost, c, that Mr. Daniels can spend on the class trip?
c < 300
The inequality that represents the cost, c, that Mr. Daniels can spend on the class trip is; c < 300
How to solve Inequality word problems?
We are told that;
Mr. Daniels is organizing a class trip.
Mr. Daniels wants to spend less than $300
Thus, if the cost that Mr. Daniels can spend on the class trip is given as c, then it means that c has to be less than the amount which he wants to spend which is $300.
Thus, since c has to be less than $300, then it means that the inequality to be used would be a less than sign which can be expressed as;
c < 300
Thus, we conclude that it is the required inequality.
Read more about Inequality word problems at; https://brainly.com/question/25275758
#SPJ1
A tire shop had to fill 2 1/2 tires with air. It took a small air pump 2 1/2 seconds to fill them up. How long will it take to fill 8 tires?
Answer:
8 seconds if tyres took 1 second each tyre as 2.5/2.5 =1
The question did specify 2 1/2 secs to fll them all up which is 1 second each x 8 = 8 sec total.
Step-by-step explanation:
2 1/2 litres = number of tyres
2 1/2 seconds taken
= if each tyre took 2 1/2 seconds the quetsion should say clear but would be
2 1/2 tyres x 2 1/2 seconds = 6.26 seconds every 2 1/2 tyres
so 8 tyres x 2 1/2 seconds = 20 seconds every 8 tyres
If the 2 1/2 seconds applied to all 2 1/2
then we need to find a multiplier for 1 tyre
Here we divide
2 1/2 / 2 1/2 = 1
8 x 1 = 8 seconds.
HELPPPPPPPP PLEASE HELP ME EEEEEE
Answer: The correct answer is b
Step-by-step explanation:
25% off $30 is 22.50 and then when you add 7%ax it turns out to be 24.08
Which inequality correctly compares 2/5, 1/8 ,5/7
Answer:
The correct answer is -3.9> -4.5
Step-by-step explanation:
arc located on circle has a central angle of . the radius of the circle is 24 centimeters. what is the length of arc ?
The length of arc is 18.85 cm.
To find the length of an arc on a circle, we need to know the central angle and the radius of the circle.
In this case, the central angle is not provided, so it is impossible to determine the length of the arc accurately.
However, if we assume that the central angle is given, we can proceed with the calculation.
Let's say the central angle is θ (in radians or degrees) and the radius of the circle is r.
The formula to calculate the length of an arc is given by:
Length of Arc = (θ/2π) \(\times\) 2πr
Simplifying the formula, we have:
Length of Arc = θr
Let's consider an example.
Suppose the central angle is 45 degrees (θ = 45°) and the radius of the circle is 24 centimeters (r = 24 cm).
We can calculate the length of the arc as follows:
Length of Arc = (45°/360°) \(\times\) 2π \(\times\) 24 cm
= (1/8) \(\times\) 2π \(\times\) 24 cm
= (1/8) \(\times\) 48π cm
= 6π cm
≈ 18.85 cm (rounded to the nearest hundredth)
For similar question on arc.
https://brainly.com/question/30582409
#SPJ8
What are the steps in solving quadratic equation by factoring give one example?
Steps which are required to solve quadratic equation by factoring are as follow :
1. Convert the equation into standard form.
2. calculate the factors of the equation by splitting or formula method.
3. Equate the factors to zero and get the value.
Example : Factors of x² + 4x + 4 = 0 are x = -2.
As given in the question,
Steps required to solve quadratic equation by factoring are given by :
Standard quadratic equation is : ax + by + c = 0
Two methods to solve quadratic equations are:
a. Splitting method
b. Formula : x = ( - b ± √b² -4ac ) / 2a.
Consider a example:
x² + 4x = -4
1. Convert into standard from
x² + 4x + 4 = 0
solve it by splitting method :
x² + 2x + 2x + 4 = 0
⇒ x(x + 2 ) + 2 ( x + 2 ) =0
⇒ ( x + 2 ) ( x+ 2 ) = 0
⇒ x + 2 = 0
⇒ x = -2
Therefore, the steps required to solve quadratic equation are :
1. Convert the equation into standard form.
2. calculate the factors of the equation by splitting or formula method.
3. Equate the factors to zero and get the value.
Example : Factors of x² + 4x + 4 = 0 are x = -2.
Learn more about quadratic equation here
brainly.com/question/30098550
#SPJ4
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles
Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
The equations that are true for x = -2 and x = 2 are x² – 4 = 0 and 4x² = 16. So, correct options are A and D.
The solutions for the equations when x = -2 and x = 2 can be found by substituting these values of x into the equations and simplifying.
For x² – 4 = 0, substituting -2 and 2 for x gives (-2)² – 4 = 0 and (2)² – 4 = 0, which are both true. Therefore, this equation is true for x = -2 and x = 2.
For x² = –4, substituting -2 and 2 for x gives (-2)² = –4 and (2)² = –4, which are both false. Therefore, this equation is not true for x = -2 and x = 2.
For 3x² + 12 = 0, substituting -2 and 2 for x gives 3(-2)² + 12 = 0 and 3(2)² + 12 = 0, which are both false. Therefore, this equation is not true for x = -2 and x = 2.
For 4x² = 16, substituting -2 and 2 for x gives 4(-2)² = 16 and 4(2)² = 16, which are both true. Therefore, this equation is true for x = -2 and x = 2.
For 2(x – 2)² = 0, substituting -2 and 2 for x gives 2(-2 – 2)² = 0 and 2(2 – 2)² = 0, which are both true. Therefore, this equation is true for x = -2 and x = 2.
Therefore, correct options are A and D.
To learn more about equations click on,
https://brainly.com/question/27966858
#SPJ1
The volume of a one is 80 cubic cm what is the volume of the cylinder with the same base and height of the cone
Answer:
240 cubic cm
Step-by-step explanation:
Volume of a cone = 1/3(nr^2h)
volume of a cylinder = nr^2h
n = 22/7
r = radius
The volume of a cone is 1/3 that of a cylinder
to determine the volume of the cylinder with the same parameters as a cylinder, multiply the volume of the cone by 3
80 x 3 = 240 cubic cm
EXTRA POINTS. WILL GIVE A BRAINLIEST AND A THANK YOU. ANSWER ASAP... I want a clear, grammatically correct answer please, Part A and Part B separate; This is an essay, please write it as such. All steps! Easy to understand! Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties. Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points) Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answer:
Part A:
\(x+y=27 \\4x+y = 45\)
Part B:
Number of vanilla wafers packets bought = 6 and
Number of chocolate wafers packets bought = 21
Step-by-step explanation:
Given:
Cost of each packet of vanilla wafer = $4
Cost of each packet of chocolate wafer = $1
Total number of packets bought = 27
Total money spent = $45
Part A:
To write a system of equations for the given situation.
Here, we do not know the number of packets bought for each type of wafer.
We just know that total number of packets bought and the total money spent in buying those packets.
Let us suppose,
Number of packets of vanilla wafers bought = \(x\) and
Number of packets of chocolate wafers bought = \(y\)
Total number of packets = Number of packets of vanilla wafers bought Plus Number of packets of chocolate wafers bought:
i.e. \(x+y=27 ...... (1)\)
Money spent on vanilla wafers packets = \(4 \times x\)
Money spent on chocolate wafers packets = \(1 \times y\)
Total money spent = \(4x+y = 45 ...... (2)\)
So, the system of equations is:
\(x+y=27 \\4x+y = 45\)
Part B:
To find number of packets bought for each flavor = ?
Here, we have two equations and two variables \(x\) and \(y\).
As, the coefficients of \(y\) in both the equations are same.
Let us subtract equation (1) from (2):
\(4x+y-x-y=45-27\\\Rightarrow 3x = 18\\\Rightarrow \bold{x =6}\)
By equation (1), putting the value of \(x\) and solving for \(y\):
\(6+y=27\\\Rightarrow \bold{y =21}\)
So, number of vanilla wafers packets bought = 6 and
number of chocolate wafers packets bought = 21
Which temperature is the warmest?
-4°F
-13°F
-28°F
2° F
Answer:
2*f
Step-by-step explanation:
because all the rest are negative
how do you find the slope and the y-intercept of y=6x-12
Answer:
Slope = 6, y-intercept = -12.
Step-by-step explanation:
Slope is the coefficient of the x-term, which is 6 in this case.
The y intercept is the constant term that comes after the x-term, which is -12.
A person invested $140 in an account growing at a rate allowing the money to double
every 15 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $280?
Answer: 15 years
Step-by-step explanation:
$140 doubled is $280 which happens every 15 years
Evaluate.0.2 power of 4 =
Answer:
0.0016
Step-by-step explanation:
The expression 0.2 by the power of 4 when evaluated has a value of 0.0016
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
0.2 by the power of 4
Express as an equation
So, we have
0.2 by the power of 4 = 0.2⁴
When expanded, we have
0.2 by the power of 4 = 0.2 * 0.2 * 0.2 * 0.2
Evaluate the products
This gives
0.2 by the power of 4 = 0.0016
Hence, the solution is 0.0016
Read more about expression at
https://brainly.com/question/30492964
#SPJ6
Is (-1, -4) a solution to a equation y=6x_ -2?
please help ASAP
w/ work!
Answer:
Attachment: 1 Image
Step-by-step explanation:
H E L P M E P L I Z
In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution.
23z+19=3(5z-9)+8z+46
15y+32=2(10y-7)-5y+46
The 2 equations are classified as Identities because both sides remain the same for all values of z.
How to Classify Equations?1) We are given the equation;
23z + 19 = 3(5z - 9) + 8z + 46
Let us try z = 0
23(0) + 19 = 3(5(0) - 9) + 8(0) + 46
19 = -27 + 46
19 = 19
Let us try z = 5;
23(5) + 19 = 3(5(5) - 9) + 8(5) + 46
134 = 48 + 40 + 46
134 = 134
Thus, this is an identity as both sides remaining the same for all values of z.
2) We are given the equation;
15y + 32 = 2(10y - 7) - 5y + 46
At y = 0, we have;
15(0) + 32 = 2(10(0) - 7) - 5(0) + 46
32 = -14 + 46
32 = 32
Let us try y = 2;
15(2) + 32 = 2(10(2) - 7) - 5(2) + 46
62 = 26 - 10 + 46
62 = 62
This is an identity as both sides remaining the same for all values of z.
Read more about Equations at; https://brainly.com/question/1214333
#SPJ1
growing from 1.4m to 1.6m in one year what’s the rate to change
Answer:
1.6 - 1.4 = 0.2
0.2 / 1.4 = 0.14 = 14%
Step-by-step explanation:
PLEASE HELP!!
Grades are due today and I don’t know which one it is
The properties of parallelogram of a quadrilateral:
When adjacent angles are congruent with each other and opposite sides are the same length, extra diagonals cut across them.
How to estimate a quadrilateral is a parallelogram?A quadrilateral becomes a parallelogram if one set of its opposite sides is congruent and parallel. If — BC — AD and — BC ≅ — AD , then ABCD is a parallelogram. A quadrilateral becomes a parallelogram if its diagonals cut each other in half.
A parallelogram's diagonals connect at their midpoint, which is the intersection of both diagonals.
The identity of the parallelogram of a quadrilateral can be determined in five distinct ways:
The opposite sides of both pairs are congruent.The parallel sides of both opposite pair.One pair of opposite sides is congruent and parallel at the same time.The quadrilateral's diagonals are divided by one another.The intersection of two diagonals (that they can divide each other into two equal parts where they cross).To learn more about parallelogram refer to:
https://brainly.com/question/20526916
#SPJ1
show that a8 contains an element of order 15
An element in a8, e^(iπ/4), that has order 15. Therefore, we have shown that a8 contains an element of order 15.
To show that a8 contains an element of order 15, we need to find an element in a8 whose order is 15.
First, note that the order of an element a in a group G is the smallest positive integer k such that a^k = e, where e is the identity element of G.
Now, consider the group a8, which is the group of all eighth roots of unity in the complex plane. The eighth roots of unity are given by:
1, e^(iπ/4), e^(iπ/2), e^(3iπ/4), e^πi, e^(5iπ/4), e^(3iπ/2), e^(7iπ/4)
To find an element of order 15, we need to find an eighth root of unity raised to a power that gives us a multiple of 15. We can see that e^(iπ/4) raised to the power of 15 gives us:
(e^(iπ/4))^15 = e^(15iπ/4) = e^(7iπ/2) = e^(3iπ/2) = -i
So, we have found an element in a8, e^(iπ/4), that has order 15. Therefore, we have shown that a8 contains an element of order 15.
Learn more about element here
https://brainly.com/question/28376204
#SPJ11
harold, tanya, and ulysses paint a very long picket fence. harold starts with the first picket and paints every h th picket; tanya starts with the second picket and paints every t th picket, and ulysses starts with the third picket and paints every u th picket. call the positive integer 100h 10
The possible triples are: (3, 3, 3), (4, 2, 4) as seen by counting theorem.
What is counting theorem?The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n methods to carry out both of these acts if there are n ways to execute one activity and m ways to perform another action after that.Now, by the counting principle,
Give the pickets numbers like 1, 2, and so on. If Picket 4 is painted, Ulysses must also paint the remaining Pickets. Let's say Harold paints picket number 4. If Harold and Ulysses both paint picket 7, Ulysses is unable to paint picket 5, so Tanya does. The picket is painted by Ulysses, and (h, t, u) = (3, 3, 3). However, let's say Tanya paints picket 4. Harold paints picket 5 since Ulysses is unable to do so or then there won't be anything left to paint. Ulysses paints picket 7 as a result, and (h, t, u) = (4, 2, 4).Hence, the possible triples are: (3, 3, 3), (4, 2, 4).
To learn more about the counting principle, refer to the link: https://brainly.com/question/10275154
#SPJ4
(v) test the hypothesis that women with above average looks earn the same average logwage as women with below average looks. use a significance level of 5%. (2 points) this hypothesis states that b2
The evidence does not strongly support the claim that women with above-average looks earn significantly more than women with average looks.
To understand the findings, we need to discuss a few key concepts. First, let's clarify the null hypothesis (H0) and the alternative hypothesis (H1). In this case, the null hypothesis states that there is no relationship between physical appearance and income (β2 = 0), while the alternative hypothesis suggests that there is a relationship (β2 ≠ 0).
In this scenario, the one-sided p-value of 0.272 means that there is a 27.2% chance of observing a relationship between physical appearance and income as strong or stronger than what was found in the study, purely by chance, if there is actually no relationship (β2 = 0). Since this p-value is relatively high (greater than the commonly used threshold of 0.05), it implies weak evidence against the null hypothesis.
Therefore, based on the given information, the evidence does not provide sufficient statistical support to reject the null hypothesis that there is no relationship between physical appearance and income (H0: β2 = 0).
To know more about hypothesis here
https://brainly.com/question/29576929
#SPJ4
The recipe says it serves 8 people. By what number should jenny multiply each ingredient to make enough meatloaf for 40 people?
Answer:
5
Step-by-step explanation:
8*5=40 so you multiply the ingredients by 5
Please Help ASAP, I will give brainliest :)
Answer:
Step-by-step explanation:
how many ways are there to paint the 10 identical rooms in a hotel with five colors if at most three rooms can be painted green, at most three painted blue, at most three red, and no constraint is laid on the other two colors, black and white?
Using the Combination formula,
Total number of ways there to paint 10 hotel rooms in a hotel with five colours is 527 ways .
We have given that,
total number of rooms available for paint = 10
number of colour avaliabile for painting = 5
Atmost three rooms can be painted green i.e
the number of ways for atmost three rooms are painted green = ¹⁰C₃ + ¹⁰C₂ + ¹⁰C₁ = 120 + 45 + 10 = 175
similarly, the number of ways for atmost three rooms are painted red = 175
the number of ways for atmost three rooms are painted blue = 175
Now, one room is remained for painting and two colours are available for it
the number of painting the remained room with aany of two available colours i.e black and white
= 2 ways
thus , total ways to paint the 10 hotel rooms with five different paints are (175×3 +2) = 527
To learn more about Combination formula, refer:
https://brainly.com/question/16837159
#SPJ4
plz help por favor :(
Answer:
4500 + 150.25s = 3696 + 200.5s Solve for s 4500 - 3696 = 200.5s - 150.25s 804 = 50.25s s = 804/50.25 = 16 tons of sugar The cost is found by plugging this value into either side of the original equation; it is $6904.
Step-by-step explanation:
Answer:
a) They would cost the same with 16 tons of sugar.
b) This would cost 9 108 dollar.
Step-by-step explanation:
! This is only true if the amount of rented trucks remains the same no matter what amount of sugar ! ( Which is really weird but ok.)
a) x= tons of sugar
=>7500+100,50X=6296+175,75X
<=> 75,25x=1204
<=> x=16
b) 7500+100,50.16=9108
express 5×-4y=20 in the form a×+by+c=0and write the value of a,band c
Answer:
a = 5
b = -4
c = -20
Step-by-step explanation:
Here, we want to express the given equation in the following form;
So we can have this as;
5x-4y-20 = 0
That means we have;
a as 5
b as -4
and c as -20
q2: through data collection, you observe over the past 100 days, your web hosting provider has been up and running 99% of the time. the average (mean) time for repair is 12 hours. q2.1: what is the availability of your hosting service for this period of time?
The availability of the web hosting service over the past 100 days is 99.5%.
What is the availability of web hosting?The term availability means the degree to which a system like web hosting is in specified operable and committable state at the start of a mission.
We will find the downtime first.
Given that:
Hosting provider has been up 99% of the time, the downtime is:
= 100 days x (1 - 0.99)
= 1 day
The total time that the service should have been available is:
= 100 days x 24 hours/day
= 2400 hours
The availability as the ratio of uptime to total time is
= (2400 - 12) / 2400 x 100%
= 0.995 x 100%
= 99.5%.
Read more about availability
brainly.com/question/26768869
#SPJ1
I NEED HELP ON THIS
(see photo below for questions)
v
Answer:
∠4 = ∠5 = ∠8 = ∠1 = 140°∠2 = ∠3 = ∠6 = ∠8 = 40°Step-by-step explanation:
Given angle 1 = 140°, you want the measures of the other numbered angles where a transversal crosses parallel lines.
ReasonsWhere a transversal crosses parallel lines, corresponding angles are congruent.
Wherever lines cross. vertical angles are congruent, and linear pairs are supplementary.
These reasons together tell you all the obtuse angles are congruent, and all the acute angles are congruent. The obtuse and acute angles are supplementary.
Application∠1 = ∠4 = ∠5 = ∠8 = 140° . . . . . . given
∠2 = ∠3 = ∠6 = ∠7 = 40° . . . . . . done for you
__
Additional comment
The angles are also named according to where pairs of angles are found.
alternate — on opposite sides of the transversalconsecutive, or same side — on the same side of the transversalinterior — between the parallel linesexterior — outside the parallel linescorresponding — in the same direction from the point of intersection (for example, angles 1 and 5 are both northwest of their vertices, hence corresponding)Various theorems describe the congruent/supplementary status of pairs of angles using these names:
if the lines are parallel, then corresponding angles are congruent; if the lines are parallel, then consecutive exterior angles are supplementary; ....In general, the converses of these theorems are also true. If corresponding angles are congruent, then the lines are parallel.