Answer:
The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...
Step-by-step explanation:
Which expression is equivalent to the following complex fraction? 2 minus StartFraction 1 Over y EndFraction divided by 3 StartFraction 1 Over y EndFraction.
The equivalent fraction to the given complex fraction is [tex]\frac{2y-1}{3y+1}[/tex].
Given expression,
[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex]
We have to find the equivalent fraction of [tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex] .
On solving,
[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{\frac{2y-1}{y} }{\frac{3y+1}{y} }[/tex]
Eliminating y from numerator and denominator we get,
[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{2y-1} {3y+1} }[/tex]
Hence the required expression is [tex]\frac{2y-1}{3y+1}[/tex].
For more details follow the link:
https://brainly.com/question/17912
Answer:
The answer is D :)
Step-by-step explanation:
2y-1/3y+1
PT. 3 OF MY HW IT IS UNIT RATE
Answer: The rate of change decreased.
Step-by-step explanation:
PLZ HELP
Use the distributive property to remove the parentheses.
Answer:
I don't know if i did this correctly because i can't find my notes but i hoped i helped.
Step-by-step explanation:
3. Solve each equality or inequality:
a. |8x-6|= 0
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Find possibilities.
We know one possibility: 8x - 6 = 0. This is because 0 cannot be positive or negative.Step 2: Solve possibility 1.
[tex]8x - 6 = 0[/tex] [tex]8x - 6 + 6 = 0 + 6[/tex] (Add 6 to both sides)[tex]8x = 6[/tex] [tex]\frac{8x}{8} =\frac{6}{8}[/tex] (Divide both sides by 8)[tex]x = \frac{3}{4}[/tex]Therefore, x = 3/4.
divide x² +x +1 by x+ 1 by long division method
Answer:
I hope it will help you.
30 POINTS John opens a savings account and decides to deposit $10 each month. Let x represent the number of
months that he has been saving, and y, represent the total amount of money saved.
7. What is the algebraic equation for John's saving plan?
8. How much money will John have saved in 14 months? In 6 months? Show your work and
explain.
9. In how many months will John have saved $100? $175? Show your work and explain.
10. What is the rate of change?
11. How does knowing the rate of change help you in answering questions in this problem?
12. Use your equation to complete the table representing John's savings:
# of Months Saving Account Balance ($)
0
1
2
3
4
Answer:
7.) y=10x
8.) $140 in 14 months, $60 in 6 months
9.) He will have saved $100 in 10 months and $175 in 17.5 months
10.) The rate of change is 10
11.) Knowing the rate of change helps you in answering this problem because it tells you how much money he saves per month.
12.)
0- $0
1- $10
2-$20
3-$30
4-$40
Step-by-step explanation:
7.) The standard form of a linear equation is y=mx+b
The starting balance is 0 so there is no point to adding b. M is the amount of money he deposits each month so that is 10. You plug in the values and you get y=10x (+0)
8.) y=10(14)
$140
y=10(6)
$60
9.) 100=10x
100/10= 10
10 months
175=10x
175/10=17.5
17.5 months
10.) The rate in change is m so 10.
Hope I explained this in simple enough terms. Have a good day!
pls help!! the answers are written but can someone explain how to find the angles step by step? I already know how to find the hypotenuse length.
There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.
Let x be the upper left acute angle, and y be the lower right acute angle.
We can say
tan(angle) = opposite/adjacent
tan(x) = 16/5
x = arctan(16/5)
x = 72.645975 approximately
x = 72.6
and also
tan(angle) = opposite/adjacent
tan(y) = 5/16
y = arctan(5/16)
y = 17.3540246
y = 17.4
Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.
Your calculator needs to be in degree mode when using the arctangent function, which is denoted as [tex]\tan^{-1}[/tex] on many graphing calculators.
Find s(16) for the sequence s(n)=4n-2, ne {1, 2, 3, ... }.
A
64
B
60
66
D
62
Answer:
62
Step-by-step explanation:
Substitute n = 16 into the sequence rule
s(16) = 4(16) - 2 = 64 - 2 = 62
7) There are 5 white balls, 8 red balls, 7 yellow balls and 4 green
balls in a container. A ball is chosen at random.
What is the probability of choosing red?
8)What is the probability of choosing green?
9) What is the probability of choosing either red or white?
10) What is the probability of choosing neither white nor green?
11) What is the probability of choosing other than yellow?
12) What is the probability of choosing black?
Answer:
7. 1/3
8. 1/6
9. 13/24
10. 5/8
11. 17/24
12. 0
Step-by-step explanation:
First find the total number balls by summing the indiviudal number of balls:
Total = 5 + 8 + 7 + 4 = 24
Then, the find any probability divide the number of ways your selected situation can happen from the total:
[tex]probability = \frac{number.of.possible.ways}{total.number.of.ways}[/tex]
A final step if you want is to reduce the fraction to its simplest value. For example,
[tex]\frac{2}{4} =\frac{1}{2}[/tex]
7) 8/24 = 1/3
8) 4/24 = 1/6
9) (8+5)/24 = 13/24
10) (24 - 5 -4)/24 = 15/24 = 5/8
11) (24 - 7)/24 = 17/24
12) (0)/24 = 0
---
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1/2 - (-1/3 + 2/5)
please help?
1/2-(-1/3+2/5)
= 1/2-(-0.33333333333333+2/5)
= 1/2-(-0.33333333333333+0.4)
= 1/2-(0.066666666666667)
= 1/2-0.066666666666667
= 0.5-0.066666666666667
= 0.43333333333333
Answer: 13/30 or 0.4333333333
Step-by-step explanation:
Just add and subtract them.
Correct me if I am incorrect.
Resultado de la operación -2-(5-3)+4
Answer:
0
Step-by-step explanation:
-2-(5-3)+4
-2-2+4
-4+4
0
2 people start from the same spot one walking east the other walking west, the person walking east walks slowly at 4mph and the other person walks fast at 6mph writr and solve a system of equations that can be used to determine how ong until 2 people are 2 1/2 miles apart from ach otherr
Answer:
3\5
Step-by-step explanation:
What is the domain and range of the function f(x)=17?
i need help on this asap
Answer:
c
Step-by-step explanation:
How do u Keep change change this number???
1.3 - -300=????
I don’t know what to do
If you put $1000 in a savings account that yields an 7% annual rate of interest that is compounded weekly, how much would that be worth in 25 weeks
Answer:
A = $1034
Step-by-step explanation:
The relevant Amount function is A = P(1 + r/n)^(n*t), where r is the annual interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.
There are 52 weeks in a year. Hence, n = 52, and 25 weeks = 25/52 year, or 0.481 year.
The accumulation (value of the savings) would be
A = ($1000)(1 + 0.07/52)^(52*[25/52]), or approximately
A = ($1000)(1.0013)^25, or approximately A = $1034
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
What percent is a gram of a kilogram
Answer:
0.1 percent
Step-by-step explanation:
Is -4/19 equivalent to 4/-19
Answer:
Yes.
Step-by-step explanation:
Answer:
no.
Step-by-step explanation:
-4/19 is completely different to 4/-19.
Im not sure how to word it but they are two completely different numbers.
Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
I = 0
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5
?
Save For Later
Su
Check
2021 Mc LLC All Rights Reserved tesof Use Peso
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Answer:
See belowStep-by-step explanation:
The quadratic equation in factored form:
a(x - α)(x - β), where a- leading coefficient, α and β - rootsWe have:
a = 3, α = 1, β = -2Substitute them to get:
3(x - 1)(x + 2)Converting this into standard form:
3(x - 1)(x + 2) =3(x² + x - 2) =3x² + 3x - 6Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month average for monthly tips? June July August Septemper October November $133. 45 $235. 31 $239. 45 $258. 87 $298. 45 $115. 67 a. Her monthly average would have decreased by $19. 57. B. Her monthly average would have increased by $19. 57. C. Her monthly average would have increased by $2. 7. D. Her monthly average would have decreased by $2. 7. Please select the best answer from the choices provided A B C D.
Her monthly average would have decreased by $19.57 and it can be determined by using taking the average value of every month.
Given that,Katie works as a waitress and records her monthly tips in the table shown below.
June, July, August, September, October, November
$133.45, $235.31, $239.45, $258.87, $298.45, $115.67
If Katie decided not to work the month of November,
We have to determine,How would her five-month average compare to her six-month average for monthly tips?
According to the question,Katie works as a waitress and records her monthly tips in the table below.
June, July, August, September, October, November
$133.45, $235.31, $239.45, $258.87, $298.45, $115.67
To find out how not working in November would affect the average of Katie's tips.
The average of her working June until October only.
[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45}{5}\\\\Average =\dfrac{ 1165.53 }{ 5}\\\\Average = 233.10[/tex]
Then, The average is with the month of November is,
[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45 + 115.67}{6}\\\\Average =\dfrac{ 1281.2 }{ 6}\\\\Average = 213.53[/tex]
Therefore,
On comparing the average of her five-month average to her six-month average for monthly tips is,
[tex]233.10 - 213.53 = 19.57[/tex]
The average will decrease because 213.53 is less than 233.10.
Therefore, Her average will decrease by $19.57.
Hence, Her monthly average would have decreased by $19.57.
For more details about the Average value refer to the link given below.
https://brainly.com/question/8916264
Answer:
b
Step-by-step explanation:
An online furniture store sells chairs and tables. Each day, the store can ship at most 55 pieces of furniture. Write 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.
Answer:
t+c ≤ 55
Step-by-step explanation:
t+c is the total pieces of furniture and it must be at most (less than or equal to) 55 so t+c ≤ 55 is the equality that represents the possible values.
x=4y,2x+y=18 solve by substitution show all work
Paul left his house at 9:45 a.m. and returned home at 6:55 p.m. the same day. How long was Paul away from home?
Answer:
9 hours and 10 minutes
Please help me…………….
Answer:
Isosceles triangle.
Step-by-step explanation:
Answer this pleaseeee <3 <3 <3 <3 <3 <3 <3
Answer:180%
Step-by-step explanation:
72/40 = 1.8
(1.8)(100)= 180
Answer:
Answer: 180%
Step-by-step explanation:
Shelby will take a total of 6 tests. On the first 5 tests, her scores were: 80, 85, 73, 78, 90. If she wants a mean grade of 80, what does Shelby have to score on her 6th test?
84
80
90
74
Answer:
74
Step-by-step explanation:
The mean of any set of numbers is simply the sum of the numbers divided by however many numbers you have. Because of this you can write the following equation
Mean = (sum of numbers)/(number of numbers)
Let's say that the missing test score is called x:
Mean = 80 = (80 + 85 + 73 + 78 + 90 + x)/6
80(6) = 80 + 85 + 73 + 78 + 90 + x
480 = 80 + 85 + 73 + 78 + 90 + x
x = 480 - 80 - 85 - 73 - 78 - 90
x = 74
please help me write an expression for area and perimeter for this rectangle
[tex]\text{Given that ,}\\\\\text{Length,}~ l = (2y+5)~\text{units.}\\\\\text{Width, } w= 3~\text{units.}\\\\\\\text{Area} = lw = (2y+5)(3) = (6y+15) ~~ \text{units}^2.\\\\\\\text{Perimeter} =2(l+w) = 2(2y+5 +3) = 2(2y+8) = (4y+16)~~ \text{units}.[/tex]
Use the Right Triangle Alt. Thm., Pythag. Thm. and/or Similar Triangles to solve.
Answer:
Step-by-step explanation:
Q.The total surface area of a cylinder is
3080cm² and height is 21cm. Find its base radius.
Show full process.
Answer:
r≈14cm
h Height
21
cm
A Surface area
3080
cm²
Using the formula
A=2πrh+2πr2
Solving forr
r=1
2h2+2A
π﹣h
2=1
2·212+2·3080
π﹣21
2≈14.00402cm