[tex]~~~~~~6=2x^2 -11x\\\\\implies 2x^2 -11x -6 = 0\\\\\implies 2x^2 -12x +x-6=0\\\\\implies 2x(x-6) +(x-6) = 0\\\\\implies (2x+1)(x-6) = 0\\\\\implies x = -\dfrac 12,~~ x= 6\\\\\text{Since }~p > q,}~~ p =6~ \text{and}~ q = -\dfrac 12\\ \\\text{So,}~ p-q = 6 -\left(- \dfrac 12 \right)\\\\~~~~~~~~~~~~~=6+\dfrac 12 \\\\~~~~~~~~~~~~~=\dfrac{13}2\\\\~~~~~~~~~~~~~=6.5[/tex]
The value of p -q is 6.5.
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
ax^2 + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The equation 6 = 2x^2 - 11x has two solutions, p and q, with p being greater than q.
[tex]6 = 2x^2 - 11x \\\\ 2x^2 - 11x - 6 = 0\\\\ 2x^2 - 12x + x- 6 = 0\\[/tex]
(2x + 1) (x-6) = 0
Thus, x = -1/2 , 6
Since p>q
p = 6 , q = -1/2
So, p -q = 6 - (-1/2)
= 6 + 1/2
= 13/2
= 6.5
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B
A
Solve for x and then find the measure of ZB:
LB
Answer:
because measure A and B are supplemantery ,since the measure of $m(A°)+m(B°)=180°$ , then 6z-48+4z+38=180° → 10z=190 → z=19 , therefore
m(B°)=4(19)+38 → m(B°)=114 ,and m(A°)=6(19)-48=66°
Helppppppp meeeeeee pleaseeeeee
Answer:
6 meters × 4 meters = 24 square meters
Step-by-step explanation:
to find the area of a rectangle you do the length times the width
the length is 6m and the width is 4m so you times them together which gives you 24m²
I’ll mark brainly if you answer this
Answer:
I'm pretty sure it is (c)
Step-by-step explanation:
bc the angle is not read in the right order
There are 6 marbles in a bag: 1 blue, 1 red, 1 white, 1 yellow, 1 green, and 1 black. Mary picks one marble at random and then her sister chooses another from those left in the bag.
What is the probability that Mary picks the red marble and her sister picks the blue marble?
Answer:
1 in 30
Step-by-step explanation:
1 in 6 chance Mary picks the red marble in the first place. After this there is a 1 in 5 chance her sister picks the blue one. 5 multiplied by 6 is 30.
The probability that Mary picks the red marble and her sister picks the blue marble is [tex]\frac{1}{30}[/tex] .
Concept:Firstly, we need to find the probability of Mary picking a red marble from the 6 marbles.Secondly. we need to find the probability of Mary's sister picking a blue marble from the 5 left marbles.As both are mutually exclusive events , the required probability is the multiplication of both above.How to solve the given question?P(A) = Mary picking a red marble out of 6 marbles = [tex]\frac{1}{6}[/tex]P(B) = Mary's sister picking a blue marble out 5 left marbles = [tex]\frac{1}{5}[/tex]P(E) = Required probability = P(A) × P(B) = [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{5}[/tex] =Thus, the probability that Mary picks the red marble and her sister picks the blue marble is [tex]\frac{1}{30}[/tex] .
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Question
There are a total of 101 students in a drama club and a yearbook club. The drama club has 13 more students than the yearbook club. How many students are in the drama club? the yearbook club?
Answer:
students in the drama club: 57
students in the yearbook club: 44
Step-by-step explanation:
101 - 13 = 88
88 / 2 = 44
101 - 44 = 57
44 in the drama club and 57 in the yearbook club
What about psychology?
Psychology is the scientific study of mind and behavior.
innahbee (. ❛ ᴗ ❛.)
Factorise fully 18g - 15
Answer:
3(6g - 5)
Step-by-step explanation:
1. First, find the GCF of 15 and 18.
Factors of 15:
1, 3, 5, 15
Factors of 18:
1, 2, 3, 6, 9, 18
The GCF of 15 and 18 is 3.
2. Factorize
3(6g - 5)
3. Check you answer:
3(6g) + 3(-5)
18g - 15
Hope this helps!
A country has 33 parks that allow camping and 101 parks that have
playgrounds. Of those, 16 parks both allow camping and have
playgrounds. The country has a total of 346 parks.
What is the probability of randomly selecting a park that allows
camping or has a playground? Write your answer as a fraction.
Answer:
134:346 Add the 33 to 101 to get first number, then total number of parks 346 is the second number, they may end up wanting you to to reduce the fraction.67:143
2.) If z varies inversely as r, and z= 24 when r = 6, find r when z= 12
Step-by-step explanation:
........ .......... ....
Question 21:
Name the angle:
Answer: Either angle QPO or angle OPQ
Explanation:
When naming an angle, we always have the vertex as the middle letter. That vertex is P. It's where the two rays are joined.
So we could have the name "angle QPO" or "angle OPQ" since the order of the other letters doesn't matter. All that we care about is P is in the middle.
PLSSS HELP ASAP!
(Will give brainliest)
Answer:
Question 3: D, 90°
Question 2: D, 84°
Step-by-step explanation:
Answer:
2. d. 84°
3. d. 90°
Step-by-step explanation:
Q2
32 + 64 + x = 180x + 96 = 180x = 84°Q3
20 + 70 + x = 180x + 90 = 180x = 90°Pls help asap
ivan made strawberry jam and raspberry jam. he made enough strawberry jam to fill 2/3 of a jar. if he made 4/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
write your answer as a fraction or as a whole or mixed number.
4/5 × 2/3
= (4×2)/(5×3)
=8/15
A company earns $7 for every book sold. The company can sell 200 books in 2 hours. At this rate, how much money would the company earn in 8 hours of selling books?
Answer:
$5,600
Step-by-step explanation:
1. divide 200 by 2 (this gives you the rate for 1 hour of book sales)
2. multiply the answer by 8 hours
3. multiply your answer (800) by $7
4. You solved it! $5,600 is how much money a company would earn if they sold books for 8 hours.
Answer:
The company earns $5,600 per 8 hours of book sellingStep-by-step explanation:
Step 1
Find how much books the company sells in 8 hours of selling books
To find this, we see that 2 hours = 200 books. Also, 8/2=4. That means that if we multiply 200 by 4, then we will get our total amount of books sold in 8 hours.
200x4=800
800 books sold in 8 hours
Step 2
Find how much money does 800 books equal to get FINAL ANSWER
To find this, we need to know the price of 1 book, the price of one book is 7$, that means that if we do 7$x800books, then we get our FINAL ANSWER
7x800=$5,600
Hence, the company earns $5,600 for sellings books for 8 hours.The probability that a randomly selected point on the grid below is in the blue area is StartFraction 9 over 16 EndFraction. A grid with 16 squares. 9 squares are shaded blue. Which expression can be used to find the probability that a randomly selected point is in the white area of the grid? 1 minus StartFraction 9 over 16 EndFraction 1 minus StartFraction 7 over 16 EndFraction 1 + StartFraction 9 over 16 EndFraction 1 + StartFraction 7 over 16 EndFraction
1 minus StartFraction 9 over 16 EndFraction
This is the same as writing 1 - 9/16
======================================================
Explanation:
9/16 is the fraction 9 over 16
It is a shorthand way of saying 9 squares are shaded out of 16 total.
When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.
------------
This is what happens when you simplify the expression
1 - 9/16
16/16 - 9/16
(16-9)/16
7/16
This shows that there are 7 white squares.
------------
Or if you want, you can think of it like this:
16 squares total, 9 are blue
16-9 = 7 squares are white
7/16 is the fraction of squares that aren't shaded blue.
Please help me ia m stuggling
Answer: use the Pythagorean theorem
if you use the Pythagorean theorem it would be so much easier:)
Step-by-step explanation:
PLEASE HELP USING ALL MY POINTS FOR THIS!!! WILLMARK BRAINLIST
A basketball team allows people to buy either a ticket (T), or an signed autograph ticket (S). If two customers buy one ticket each, what is the sample space for this? Select all the choices that are included in the sample space.
SSS
TTT
TST
TT
ST
TS
TSS
T
SST
STS
S
TTS
STT
SS
An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space for the given situation is {CC, AC, CA, AA}.
What is a sample space?An experiment's or random trial's sample space is the set of all conceivable outcomes or results. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.
For the given situation, Let Buying a classical ticket be represented by T, while buying an autograph event ticket is represented by S.
Therefore, The sample space for buying either a classic ticket T or an autograph event ticket S from the table = {TT, TS, ST, SS}.
Hence, the sample space for the given situation is {TT, TS, ST, SS}.
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The Allied Taxi Company charges $2. 50 to pick up a passenger and then adds $1. 95 per mile. Isaac was charged $27. 46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth? 1. 95x 2. 50 = 27. 46; Isaac traveled 15. 4 miles. 1. 95x 2. 50 = 27. 46; Isaac traveled 12. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 11. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 10. 2 miles.
Answer:
see the attachment.
i hope this can help you
Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie? two-sevenths two-fifths four-sevenths four-fifths
Using it's concept, it is found that the probability that the customer also likes pie is of [tex]\frac{2}{7}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that of the 14 students that like cake, 4 also like pie, hence the probability is given by:
p = 4/14 = 2/7.
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Answer:
it's a i think
Step-by-step explanation:
If you live in a state that needs to collect $18 million in property taxes and has a tax rate of 2.77%, what is that state's
taxable value?
O $650 million
O $65 million
O $6 million
O $499,000
Answer:
la respuesta es 65 millones
What is one benefit of attending trade school after high school?
A. To choose from numerous
electives
B. To prepare for graduate school
C. To learn a practical skill
D. To live in a dorm
One benefit of attending trade school after high school is to learn practical skills.
What is a trade school?A trade school is one which focuses on practical knowledge along with theoretical concepts. In a trade school, they will teach you about the end use of what you are studying.
They provide you with proper practical knowledge in a particular field like welding, machining, forging etc. It is very important to have practical skills along with theoretical subject knowledge.
It increases your chances of being selected by any company and also gives you more opportunities to learn.
Therefore benefit of attending trade school after high school is to learn practical skills.
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Answer: c. to learn a practical skill
Step-by-step explanation:
18.5 yd
11.7 yd
6.3 yd
14.3 yd
the surface area
PLEASE HELP!!
What is the area of triangle ΔPQR round to the nearest tenth of a square meter? Drawing is not to scale.
A. 60.8 m2
B. 65.3 m2
C. 30.4 m2
D. 32.7 m2
Answer:
B
Step-by-step explanation:
A line passes through the points (2, 1) and (4, 9). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Explanation:
Let's find the slope of the line through those two points.
[tex](x_1,y_1) = (2,1) \text{ and } (x_2,y_2) = (4,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 1}{4 - 2}\\\\m = \frac{8}{2}\\\\m = 4\\\\[/tex]
Then we can apply point-slope form to transform it into slope-intercept form.
[tex]y-y_1 = m(x - x_1)\\\\y-1 = 4(x - 2)\\\\y-1 = 4x - 8\\\\y = 4x - 8+1\\\\y = 4x - 7\\\\[/tex]
Answer:
let point A be (2,1) and
B be (4,9)
Now,Slope =y2-y1-----------------
x2-x1= 9-1---------
4-2=8-----
2=4What are the odds of rolling a sum of 6 using two number cubes? (Hint.. there are 36 possible outcomes)
Answer:
5/36
Step-by-step explanation:
there are only 5 times you can get a sum of 6,
1+5,2+4,3+3,4+2,5+1( note: the first value is from the first die and the second is from the second die)
Solve for d -6 = d/3
Answer:
-18
Step-by-step explanation:
What is the area of a square with sides that each have a length of 1 meter?
Answer:
1 m^2
Step-by-step explanation:
A = W * L
1 * 1 = 1
The box-and-whisker plot below represents some data set. What is the value of the
second quartile?
H
50
100
150
200
Answer:
Submit Answer
The second quartile is the median of the data sets and have a value of 100.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The box-and-whisker plot provides a five number summary of data sets i.e. minimum, lower quartile, median, upper quartile and range.
The second quartile is the median of the data sets and have a value of 100.
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Select the correct answer. In which of the scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope meaningful? A. As the number of cigarettes smoked in a day increases, the risk for lung cancer increases. B. As the age of an infant increases, the height of the infant increases. C. As the number of vehicles in a city increases, the amount of pollution in the city increases. D. As the concentration of salt in water increases, the density of water increases. E. As the number of calls made by a cell phone increases, the cell phone bill amount increases. Reset Next
Answer:
In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.
In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.
In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.
Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.
Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.
So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.
Step-by-step explanation:
Kellie bought 8 towels and spent $39.60.Each towel costs the same amount.
Part B
What is the price, in dollars, of 11 towel?
Answer: $54.45
Step-by-step explanation:
First, we will find the price of one towel.
-> We will divide the cost by the towels bought.
$39.60 / 8 = $4.95
Now, we can find the price of 11 towels.
-> We will multiply the cost of one towel by 11 to find the total cost.
$4.95 * 11 = $54.45
Answer:
$54.45
Step-by-step explanation:
Given:
Number of towels = 8
Money spent on towels = $39.60
To Find:
What is the price, in dollars, of 11 towel?
Solve:
Since, each towels cost the same amount then we can divide the cost by number of towels.
39.60/8 = 4.95
Thus, Each towel costs $4.95
Then we are trying to find the price in dollars of 11 towels.
Knowing that 1 towels cost $4.95 then 11 towels:
4.95 × 11 = $54.45
Kavinsky
The following solid is a right pyramid with a square base. a) Calculate the length of AW b) Find the length of VW
Answer:
Step-by-step explanation: