A line that intersects two or more lines in a plane at different points is called a transversal line.
A line is a geometrical figure that has length and can be extended in both directions.
Line is of two types: Straight and curved.
There are other types of lines also:
1. Parallel lines: Regardless of the length of the lines, two lines that run parallel to one another and are separated by the same distance but do not intersect are known as parallel lines.
2. Perpendicular lines: When two non-parallel lines cross at a place, they are said to be intersecting. The point of intersection is the solitary intersection of two lines.
3. Transversal lines: A straight line called a transversal cuts two or more lines, some of which may or may not be parallel. In the idea of geometry, a transversal line intersects two lines in the same plane at two different locations.
Hence, A line that intersects two or more lines in a plane at different points is called a transversal line.
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The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $4 and each adult ticket sells for $8. The auditorium can
hold no more than 100 people. The drama tub must make at least $560 from ticket
sales to cover the show's costs. If z represents the number of student tickets sold and
y represents the number of adult tickets sold, write and solve a system of inequalities
graphically and determine one possible solution.
Answer:
I cant give you the euestion because you have to learn how to do this but if you take the totals and put them in a equation and the loss numbers as the equal sign you should have to equations and you can solve from there
Step-by-step explanation:
a store sells coffee beans for $8 per bag. if a bag contains 5 lbs., find the cost of coffee beans per pound.
A. $1.63
B. $0.63
C. $1.60
D. $4.00
Answer: C. 1.6
Step-by-step explanation:
$8 per 5lb bag
8 / 5 = 1.6
CHECK:
1.6 x 5= 8
Answer: c 1.60
Step-by-step explanation:
a tire manufacturer has a 60,000 mile warranty for tread life. the manufacturer considers the overall tire quality to be acceptable if less than 5% are worn out at 60,000 miles. the manufacturer tests 250 tires that have been used for 60,000 miles. they find that 3.6% of them are worn out. with this data, we test the following hypotheses. h0: the proportion of tires that are worn out after 60,000 miles is equal to 0.05. ha: the proportion of tires that are worn out after 60,000 miles is less than 0.05. what assumption about the sample underlies the hypothesis test?
Assumption about the sample underlies the hypothesis test is; the samples comes from a population of tires with 60,000 miles where 5% of tires are worn out.
From the information given, the null and alternative hypothesis are:
Null hypothesis;
The proportion of tire that are worn out after 60,000 miles is equal to 5% or 0.05
[tex]H_{0} :p=0.05[/tex]
Alternative hypothesis;
The proportion of tire that are worn out after 60,000 miles is less than 5% or 0.05
[tex]H_{a} :p < 0.05[/tex]
Hence the assumption about the sample underlies the hypothesis test is; the samples comes from a population of tires with 60,000 miles where 5% of tires are worn out.
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7. 5
2. Debt payment of $700 in two month and $800 in five month are cheduled to
be due. If interet at 8. 3% i allowed, what ingle payment today i required to ettle
the two cheduled payment?
$1,722.40 is required to settle the two scheduled payment.
Step 1 Figure out how much interest for 1 month for the $700.00 for 2 months loan = $37.20
Step 2 Then multiple that by 2 = 2*37.20
= $74.40
Step 3 Add $600.00 and $74.40 together = 600 + 74.40
= $674.40
Step 4 Figure out how much interest for 1 month of the $800 for 5 months loan = $49.60
Step 5 Then multiply that by 5 = 5*49.60
= $248.00
Step 6 Add $800.00 and $248.00 together = 800 + 248.00
= $1,048.00
Step 7 Add both $674.40 and $1,048.00 together = 674.40 + 1048.00
= 1,722.40
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How many units are in beginning inventory if 30,000 units are budgeted for sales, 35,000 units are produced, and the desired ending inventory is 5,000 units?.
The beginning inventory are 0 units, according to the given question.
What do you mean by units?
A unit of measurement is a specific magnitude of a quantity that has been established and recognized by law or convention and is used as a benchmark for measuring other quantities of the same kind. A multiple of the unit of measurement can be used to express any other quantity of that type. A length, for instance, is a physical quantity.
According to the given question,
We have:
Units are budgeted for sales = 30,000
Units are produced = 35,000
Units of desired ending inventory = 5,000
The beginning inventory units are calculated below as:
We know that,
Number of units produced = Budgeted units sold + ending inventory units - beginning inventory units
35,000 units = 30,000 units + 5,000 units - Beginning inventory units
35,000 units = 35,000 units - Beginning inventory units
Beginning inventory units = 35,000 units - 35,000 units
= 0 units
Therefore, the beginning inventory are 0 units.
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PLEASE help me math 50 points
Given:
h(x) = 3x - 5
Find:
h(-2)
________
h(-2) = 3·(-2) - 5 = - 6 - 5 = - 11
Answer:
- 11
Jacob wants to buy a $500,000 15-year term life policy, and the annual premium rate (per $1000 of face value) for his age group is $6. 78. If jacob lives until the end of the term of his policy, how much will jacob have paid in premiums overall? a. $101,700 b. $3,390 c. $50,850 d. $73,746 please select the best answer from the choices provided a b c d.
Jacob lives until the end of the term of his policy, jacob have paid in premiums overall will be 50850
Jacob wants to buy a $500,000 15-year term life policy, and the annual premium rate (per $1000 of face value) for his age group is $6. 78.
Number of 1000 in 500000 is 500000/1000 = 500
the annual premium rate (per $1000 of face value) for his age group is $6. 78.
Total premium is 500 x 6.78 = 3390
The premiun per year is 3390
For 15 years, the total premium is
15 x 3390 = 50850
Therefore, jacob lives until the end of the term of his policy, jacob have paid in premiums overall will be 50850
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What is the % of $62= $31?
Answer:
50%
Step-by-step explanation:
62-31=31
31/62x100%
=50
A firm has a machine it can sell for $50,000. The book value of the machine is $20,000 at the moment. If the firm sells the machine today, what is the tax implication from the sale? assume that the tax rate is 40%.
The tax implication is 12000.
What is tax implication?
The tax implications are that you file a tax return and may be taxed on profits, if they exceed your expenses by the amount allowed by law.
Given,
the machine can be sell for 50,000
the book value is 20,000
tax implication = (50,000-20,000)*40%
=30000*40/100
= 12000
As there is capital gain, which means the company will have to pay taxes of 12,000. So, this is a liability of 12,000 which means the answer is = -12,000.00
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Oliver ave 10% of hi weekly earning for living expene. He uually make $520 each week. Thi week he made 10% more. Oliver incorrectly claim that he ha $520 left for pending money thi week
You can calculate the 10% of the usual amount and then add it to the usual amount to get this week's salary and then can subtract the new amount's 10% to get the expense.
Oliver is left with $514.8
How to get a percentage of some amount?
You just multiply that amount by the value of percent and divide by 100. Thus, if you want to calculate 20% of 200, then it is calculated by:
How to calculate the amount Oliver is left with?
His usual salary = $520 per week
He earned this week = Usual salary + 10% of usual salary
10% of the usual salary = $520 × (10/100)=$52
Thus, earning this week = $520 + $52 = $572
Amount spent = 10% of this week =
Thus, the left amount is calculated by:
Left amount = Salary this week- the amount spent
Left amount = $572 - $57.2 = $514.8
Thus, Oliver is left with $514.8
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a group contains 6 men and 5 women. find the number of ways to select a committee with 3 men and 3 women.
The number of ways to select a committee with 3 men and 3 women is 200.
We have a group. The number of men in the group is 6. The number of women in the group is 5. We need to find out the number of ways to select a committee with 3 men and 3 women.
We will use the concepts of permutations and combinations. The number of ways to select 3 men out of 6 men is 6C3 = 20. The number of ways to select 3 women out of 5 women is 5C3 = 10. The total number of ways to form the committee that consists of 3 men and 3 women is the product of the above-mentioned calculation.
N = 20*10
N = 200
Hence, the number of ways to select a committee with 3 men and 3 women is 200.
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Whats an equivalent fraction to 2/3?
Answer: 16/24
Step-by-step explanation:
trust me
an aquarium has 14 seals, 22 penguins and 4 sea turtles. what is the ratio of sea turtles to seals? remember to reduce your ratio to the smallest numbers possible. report an error 14:22 11:7 14:4 2:7 22:14
Answer:
2:7
Step-by-step explanation:
4 sea turtles:14 seals = 2 sea turtles:7seals
Whiskers the cat weighs kilograms. Pigliothe cat weighs 4 kilograms.2 2 3 How many times as heavy as Piglio is Whiskers?
The number of times that Piglio is as heavy as Whiskers is 1.5 times.
What is weight?Weight simply means the mass the contained in the body.
Based on the information illustrated, Pigliothe cat weighs 4 kilograms. Also, Whiskers weight 2 2/3 kilograms.
Therefore, the number of times will be calculated thus:
= 4 ÷ 2 2/3
= 4 ÷ 8/3
= 4 × 3/8
= 3/2
= 1.5
It is 1.5 times heavier.
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Which of the following is NOT a factor for the expression 6x^2+4x-10?
A) (2)
B) (x-1)
C) (x+1)
D) (3x+5)
Answer:
c
Step-by-step explanation:
The expression would be 2(3x+5)(x-1) and (x+1) is not in that expression
An online furniture store sells chairs for $150 each and tables for $750 each. The store must sell at least $12000 worth of chairs and tables each day. Write an inequality that could represent the possible values for the number of tables sold, tt, and the number of chairs sold, cc, that would satisfy the constraint.
An inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint : 150c + 750t ≥ 12000
Let the number of chairs sold = c
Let the number of tables sold = t
the price for each chair = $150
the price for each table = $750
The inequality that could represent the number of tables and chairs sold will be:
(150 × c) + (750 × t) ≥ 12000
150c + 750t ≥ 12000
Therefore, an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint : 150c + 750t ≥ 12000
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class has 20 women and 13 men. a committee of five is chosen at random. find (a) p(the committee consists of all women). (b) p(the committee consists of all men) (c) p(the committee consists of all of the same sex)
Answer:
A
Step-by-step explanation:
Edge
The probability of snow on Tuesday is 0.3 and on Wednesday is 0.4. Assuming these are independent, what is the probability that: It snows on both days. It does not snow on Tuesday. It snows on Tuesday, but not Wednesday. It snows on at least one of these days. It does not snow on either day.
The probability that it snows on at least one of these days. which is the correct answer would be an option (C).
The probability of snow on Tuesday is 0.3 and on Wednesday is 0.4.
The events are independent which is given in the question.
This means it does not affect the probability of another event.
(0.7)(0.6) ⇒ 70% chance it doesn't snow on Tuesday and 60% chance it snow on Wednesday
(0.3)(0.6) ⇒ 30% chance it snow on Tuesday and a 30% chance it doesn't snow on Wednesday
(0.3)(0.4) = chance it snow on both days
Add them all up
(0.7)(0.6) + (0.3)(0.6) + (0.3)(0.4) = 0.72 chance it snow on either day.
Therefore, the probability that it snows on at least one of these days.
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Find the equation of the line. Show all steps.
LOOK AT PICTURE
THANK YOU!!
ITS NUMBER 5
y=7.5x+52.5
y2-y1/x2-x1
100-85/6-4 = 7.5
60=7.5+b
b=52.5
What does a number decreased by 4 mean?.
It means that 4 has been subtracted from the number.
2. A theater has 36 rows. Each row has 24 seats. About how many seats does the theater have?
Answer:
864 seats
Step-by-step explanation:
A theater has 36 rows. Each row has 24 seats. About how many seats does the theater have?
36 * 24 = 864 seats
The two square pyramids are similar. The side length of
the smaller pyramid is 3/4 the side length of the larger
pyramid.
20 m
15 m
Which fraction represents the ratio of the base area of
the smaller pyramid to the base area of the larger
pyramid?
9/16
3/4
4/3
16/9
Answer:
9/16
Step-by-step explanation:
9/16. The ratio of areas of two similar squares is the square of the ratios of their similar side lengths. Since the ratio of the smaller side length to the larger side length is 3/4, the ratio of areas of two similar squares is: (3/4)² = 3²/4² = 9/16.
Victoria bought a silver necklace for $325. She was charged a 5% delivery charge. What was her total cost for the necklace? How much more was she charged for the delivery charge?
Answer:
Adjusted Price with delivery: $341.25
Delivery Cost: $16.25
Step-by-step explanation:
Original Price: $325
Adjusted Price with delivery: $341.25 ($325 + $16.25)
Delivery Cost: $16.25
10% of $325 = $32.50
5% of $325 = $16.25 ($32.50 / 2)
Answer:
so.if u have 5% for delivery you can take it away from the 325 and solve the problem
The After School Program has soccer from 2:45 P.M. to 3:32 P.M.How many minutes are there for soccer?
How do you find the mean absolute deviation step by step?.
To find the mean absolute deviation it contains four steps.
The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us a thought almost the variability in a dataset. Here's how to calculate the mean supreme deviation. Step one includes to Calculate the mean, next Step 2 is Calculate how far away each information point is from the mean using positive distances, which are also called absolute deviations, next Step 3 includes to Add those deviations together and the last Step 4 is Divide the whole by the number of data points. The formula for it is :
MAD= ∑∣x(i)−x' / n, where n is the number of data points, x(i) is the individual data and x' is the mean
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What is an equation that represents the line if the points are (0,2) (3,-2).
Answer: y=-4/3x+2
Step-by-step explanation:
First, find the slope: -2-2/3-0 = -4/3
Next, choose one pair of points and insert them into the y=mx+b equation:
2=-4/3(0)+b
Simplify the equation: 2=0+b —> 2=b
Final equation: y=-4/3x+2
3. Radius and diameter of a circle. a. Name a segment that is a radius. How long is it? b. Name a segment that is a diameter. How long is it?
a. Segment AC is a radius of the circle = 7.5 cm
b. Segment CD is a diameter of the circle = 15 cm.
What is the Radius of a Circle?The radius of a circle is the line segment that is drawn from the center of the circle to any point on the circumference of the circle. The length of a radius is half the length of the diameter of a circle.
What is the Diameter of a Circle?The diameter of a circle is the line segment that divides the circle at its center into two halves. The length of the diameter of any circle is twice the length of the radius of the circle.
a. In the image given below, a radius of the circle is segment AC.
AC = 1/2(15)
Length of segment AC = 7.5 cm.
b A diameter in the circle is CD.
The length of segment CD = 15 cm.
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2-3/4(8x-6)=11
Solve for x
For the given expression, the value of x is 263/352
Expression:
Basically, the expression are the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given,
Here we have the expression 2-3/4(8x-6)=11.
Now, we need to find the value of x.
Now, we have to write the given expression,
=> 2-3/4(8x-6)=11
Now, we have to simplify the given expression as,
=> -1/ 4(8x - 6) = 11
Now, we have to expand the denominator of the expression, then we get,
=> -1/ 32x - 24 = 11
Cross multiply the expressions, then we get,
=> -1 = 11 (32x - 24)
=> -1 = 352x - 264
=> -1 + 264 = 352 x
=> 263 = 352 x
=> x = 263/352
Therefore, the value of x is 263/352.
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set a contains the four numbers 104, 120, 160 and 180
set b contains the five numbers 75, 78, 90, 120 and n
mean set A: mean set B = 4 : 3
find N
n which is a number in set B is calculated to be 577
How to determine the number nInformation given in the question
set A contains the four numbers 104, 120, 160 and 180
set B contains the five numbers 75, 78, 90, 120 and n
mean set A: mean set B = 4 : 3
Mean refers to average of numbers
calculation of mean of set A =
sum of the numbers = 104 + 120 + 160 + 180
= 564
mean = 564 / 4 = 141
mean of set B
the ratio of the mean for set A is 3
if 3 parts is 140 then 4 parts will be
= 4 * 141/3
= 188
sum of set B
75 + 78 + 90 + 120 + n = 188 * 5
363 + n = 940
n = 940 - 363
n = 577
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Given r(x) =x' - 4x2 + 4x - 6, find the value of r(2). What does your answer tell you about x - 2 as a factor of r(x)? Explain.
We can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).
What is Factor?A function that accepts a real number as input, typically represented by the variable x and outputs another real number, typically the value of the function denoted by f is known as a real-valued function of a real variable (x).Any polynomial that is divisible by the polynomial P(x) is a factor of that polynomial (x).So, we know that the equation is:
r(x)=x^3-4x^2+4x-6:Now, calculate the equation when x = 2.
r(2)=2^3-4(2)^2+4(2)-6r(2)=8-16+8-6r(2)=-6Now, we can conclude that:
As we see that x=2 is not equal to zero.Implies x-2 does not divide r(x) evenly.Thus x-2 is not a factor of given r(x).Therefore, we can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).
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