Hey there!
"Which is equivalent to [tex]80\frac{1}{4}[/tex]?"
In order for you to solve this particular equation, you multiply the front number from the denominator, then whatever that outcome is, add to the nominator
So,
[tex]80\frac{1}{4}[/tex]
[tex]80(4) = 320[/tex]
[tex]320 +1 = 321[/tex]
[tex]4[/tex] stays the same
[tex]\boxed{Answer: \frac{321}{4}}[/tex]
If you want the decimal form, simplify the the mixed to a improper then you should get a outcome of: [tex]80.25[/tex]
For percentage do the fraction out of [tex]100[/tex] then solve it from there ([tex]0.8025[/tex]) would be the percentage form
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
[tex]80\frac{1}{4}[/tex] is equivalent to the decimal number 80.25, which can also be expressed as the improper fraction 321/4.
The question asks for an equivalent of the number [tex]80\frac{1}{4}[/tex]. To find this, we can convert the mixed number to an improper fraction or decimal. Since 1/4 is a standard fraction that is equivalent to 25 percent, we can express 1/4 as 0.25. Adding this to 80, we get an equivalent decimal number of 80.25. Another way to express 80 1/4 would be as an improper fraction, which would be [tex]\frac{321}{4}[/tex] because 80 times 4 equals 320, plus the numerator 1 equals 321.
A regular pentagon with a perimeter of 18 centimeters is dilated by a scale factor of 3/2 to create a new pentagon?
Answer:
if that is all it says you can do simple cross multiplication
Step-by-step explanation:
18*3/2=x
x will give you the nre number. If you dont know how to do that math go to desmos and type it in. the answer should be 27 if i did it correctly in my head but please check my work.
A student helping a student
The new pentagon has a perimeter of 27 centimeters.
Explanation:To find the perimeter of a regular pentagon, we multiply the length of one side by the number of sides. In this case, the perimeter is 18 centimeters, so each side of the pentagon is 18/5 = 3.6 centimeters long.
When this pentagon is dilated by a scale factor of 3/2, each side of the new pentagon will be 3/2 x 3.6 = 5.4 centimeters long.
Therefore, the new pentagon has a perimeter of 5.4 x 5 = 27 centimeters.
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Which expression represents a number that is four times as large as the sum of 8 and 160?
Write an equation of a line perpendicular to the line y = -1/5x -3 and goes through the point (6,2), then use Point- Slope form to write the equation of the line. Then convert into Slope-Intercept Form.
Answer:
The equation of the line would be y = 5x - 28
Step-by-step explanation:
First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.
y - y1 = m(x - x1)
y - 2 = 5(x - 6)
Then we must solve for y.
y - 2 = 5(x - 6)
y - 2 = 5x - 30
y = 5x - 28
ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?A. (-7, -1)B. (-7, 1)C. (7, 1)D. (7, -1)
Answer:
The correct option is C.
Step-by-step explanation:
From the given figure it is noticed that the coordinates of B are (-5,-7).
If ABC is reflected across x = 1, then
[tex](x,y)\rightarrow(1-(x-1),y)[/tex]
[tex](x,y)\rightarrow(2-x,y)[/tex]
[tex](-5,-7)\rightarrow(2+5,-7)[/tex]
[tex](-5,-7)\rightarrow(7,-7)[/tex]
If ABC is reflected across y =-3.
[tex](x,y)\rightarrow(x,-3-(y-(-3)))[/tex]
[tex](x,y)\rightarrow(x,-6-y)[/tex]
[tex](7,-7)\rightarrow(7,-6-(-7))[/tex]
[tex](7,-7)\rightarrow(7,1)[/tex]
Therefore option C is correct.
1.)What number needs to be added to both sides of the equation in order to complete the square? x2+16x=18
answer is 64
x^2+16x+64=18+64
2.)Solve for x over the complex numbers.
x2+10x+41=0
answer is x=-5+4i and -5-4i
3.)What is the factored form of the expression over the complex numbers?
16x2+9y2
answer is (4x+3iy)(4x-3iy)
Answer:
all of your answers are correct
1.) 64
2.) x= -5+4i and x= -5-4i
3.) (4x+3iy)(4x-3iy)
Answer:
1.When we are completing squares, we need to divide by 2 the linear term and then find its square power, that's the term we need to add on both sides of the equality, as follows
[tex](\frac{16}{2})^{2} =(8)^{2}=64[/tex]
Basically, we need to add the number 64 both sides
[tex]x^{2} +16x+64=18+64[/tex]
2.The given equation is
[tex]x^{2} +10x+41=0[/tex]
We need to apply the quadratic formula to solve this equation
[tex]x_{1,2} =\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]
Where [tex]a=1[/tex], [tex]b=10[/tex] and [tex]c=41[/tex]. Replacing these values, we have
[tex]x_{1,2} =\frac{-10(+-)\sqrt{10^{2}-4(1)(41) } }{2(1)}\\x_{1,2} =\frac{-10(+-)\sqrt{100-164 } }{2}=\frac{-10(+-)\sqrt{-64} }{2}[/tex]
There we need to use complex number, to transform the subradical number in a positive number
[tex]x_{1,2}=\frac{-10(+-)\sqrt{64}i }{2}=\frac{-10(+-)8i}{2}\\ x_{1,2}=-5(+-)4i[/tex]
Therefore, the complex solutions are
[tex]x_{1}=-5+4i\\ x_{1}=-5-4i[/tex]
3.The given expression is
[tex]16x^{2} +9y^{2}[/tex]
To solve this expression, remember that [tex]i=\sqrt{-1}[/tex]
First, we expresse both squares uniformly,
[tex]16x^{2} +9y^{2}=(4x)^{2}+(3y)^{2}[/tex]
But, we know that [tex]-(-1)=1[/tex], so
[tex](4x)^{2}+(3y)^{2}=(4x)^{2}-(-1)(3y)^{2}[/tex]
Then,
[tex](4x)^{2}-(-1)(3y)^{2}=(4x)^{2}-(3y)^{2}i^{2}[/tex], because [tex]i^{2}=-1[/tex]
Therefore, the expression with complex numbers is
[tex](4x)^{2}-(3iy)^{2}\\\therefore (4x+3iy)(4x-3iy)[/tex]
Find the perimeter of the figure:
15 units
30 units
27 units
29 units
Answer:
To find the perimeter, just add up the lengths of the each side.
AB = 13 units
BC = 12 units
CA = 5 units
P = 13 + 12 + 5 = 30 units
Tax returns filed manually have a 20% chance of containing errors, while tax returns filed electronically have a 0.05% chance of containing the same. If 2.7 million tax returns are filed each way, how many more erroneous manually filed returns will there be than erroneous electronically filed returns? a. 270,675 b. 538,650 c. 541,350 d. 269,325
Answer:
B) 538, 650
Step-by-step explanation:
Given:
Errors on tax returns filed manually = 20%
Errors on tax returns filed electronically = 0.05%
Tax return filled in each way = 2.7 million
Manual filing:
2,700,000 x 20% = 2,700,000*0.2 = 540,000
Electronic filing:
2,700,000 x 0.05% = 2, 700,000*0.0005 = 1,350
Error difference = 540,000 - 1,350 = 538,650
There will be 538,650 more erroneous tax returns filed manually than there are filed electronically.
Thank you.
The difference between manually filed return and the electronically filed return is [tex]\boxed{538650}[/tex]. Option (b) is correct.
Further Explanation:
Explanation:
The total tax return is 2.7 million.
The errors on the tax return for electronic filling are [tex]0.05\%.[/tex]
The errors on the tax return for manual filling are [tex]20\%.[/tex]
Number of errors in filing tax return manually can be calculated as follows,
[tex]\begin{aligned}{\text{Errors in manual filling}} &= 2700000 \times 20\%\\ &= 2700000 \times \frac{{20}}{{100}} \\&= 540000\\\end{alignd}[/tex]
Number of errors in filing tax return electronically can be calculated as follows,
[tex]\begin{aligned}{\text{Errors in electronically filling}} &= 2700000 \times 0.05\% \\&= 2700000 \times \frac{{0.05}}{{100}} \\&= 1350 \\\end{aligned}[/tex]
The difference in the errors can be calculated as follows,
[tex]\begin{aligned}{\text{Difference}} &= 540000 - 1350 \\&= 538650 \\\end{aligned}[/tex]
The difference between manually filed return and the electronically filed return is [tex]\boxed{538650}[/tex]. Option (b) is correct.
Learn more:
Learn more about inverse of the function https://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497Answer details:
Grade: High School
Subject: Mathematics
Chapter: Tax and Returns
Keywords: Tax, returns, filed, tax return, 20%, chance, errors, electronically, 0.05%, containing errors, chance, same, 2.7 million, each way, manually, manually filed, erroneous, 270575, income tax, salary, tax on salary.
Calculate the value of the exterior angle
10
95
3.57
1.4
Answer:
95
Step-by-step explanation:
We have been given a diagram triangle in which measurement of few angles in terms of x are given.
Using those we need to find the exterior angle but before that we need to find the value of x.
We know that exterior angle is equal to sum of two distant interior angles of that triangle so we can write:
(8x+15)=(3x+20)+(4x+5)
8x+15=3x+20+4x+5
8x+15=7x+25
8x-7x=25-15
x=10
Now plug x=10 into exterior angle 8x+15
8x+15=8*10+15=80+15=95
Hence final answer is 95.
Linda went to a store and bought 2 items .Each item cost $12. How much money did she spend?
Answer:
24 dollars
Step-by-step explanation:
Linda spends $24 for two items that bought from the store.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
Cost price of one time = $12.
Also, number of items that Linda bought = 2.
To find the total amount that Linda spends.
Use mathematical operations,
cost of 1 item = $12
Cost of 2 items = 12 x 2 = 24.
Hence, Linda spends $24 for 2 items.
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What would I write in the boxes? Geomtetry help!
c) definition of midpoint
f) definition of congruency
g) property of rectangle (opposite sides are congruent)
h) SAS
i) CPCTC
Tristan is building steps up to a deck that is 156 5 6 yards above the ground. The steps must all be the same height. If he wants to make 8 steps, how high should he make each step?
Answer:
8 1/4
Step-by-step explanation:
If ƒ(x) = 2x, then ƒ -1(x) =
-2x
½x
x - 2
recall that to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".
[tex]\bf \stackrel{f(x)}{y}=2x\implies \stackrel{\textit{switcheroo}}{x=2y}\implies \cfrac{x}{2}=y\implies \cfrac{1}{2}x=\stackrel{f^{-1}(x)}{y}[/tex]
A farm lets you pick 3 pints of raspberries for $12.00 how many pints do you get per dollar
Answer:
0.25 pints of raspberries do you get per dollar.
Step-by-step explanation:
Unit rate defined as the rates are expressed as as a quantity of 1, such as 3 feet per second or 4 miles per hour, they are called unit rates.
As per the given statement: A farm lets you pick 3 pints of raspberries for $12.00.
⇒ for $12 a farm lets you pick 3 pints of raspberries.
then by unit rate definition,
Unit rate per dollar = [tex]\frac{3}{12} = \frac{1}{4} = 0.25[/tex] pint
Therefore, 0.25 pints of raspberries do you get per dollar.
Answer:0.25
Step-by-step explanation: hope I helped !
Jocelyn estimates that a price of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's estimate?
Answer:
The percent error of Jocelyn's estimate is 2.14 .
Step-by-step explanation:
Formula
[tex]Percentage\ error = \frac{Error\times 100}{exact\ value}[/tex]
Where
[tex]error = \left | approx\ value - exact\ value \right |[/tex]
As given
Jocelyn estimates that a price of wood measures 5.5 cm.
If it actually measures 5.62 cm.
approx value = 5.5 cm
exact value = 5.62 cm
Put in the error formula
[tex]error = \left | 5.5 - 5.62 \right |[/tex]
[tex]error = \left | -0.12\right |[/tex]
error = 0.12
Put in the formula
[tex]Percentage\ error = \frac{0.12\times 100}{5.62}[/tex]
[tex]Percentage\ error = \frac{12}{5.62}[/tex]
Percentage error = 2.14 (Approx)
Therefore the percent error of Jocelyn's estimate is 2.14 .
WILL AWARD BRAINLIEST!!!
Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or 1
key chain. She wants to use at least 5 times as many key chains as thumb drives. She has 25 thumb drives and 200 key chains.
Let x represent the number of key chains. Let y represent the number of thumb drives.
Write an inequality for this situation and graph the inequality.
Answer:
[tex]\ y\geq 5\cdot x\\x+y\geq 50\\y\leq25\\x\leq200\\y\geq0\\x\geq0[/tex]
Step-by-step explanation:
STEP 1 : First we draw the graph for [tex]y\geq 5\cdot x[/tex] by letting [tex]y=5x[/tex]
it is denoted by red colour
STEP 2 : Now we draw the graph for [tex]x+y\geq 50[/tex] by letting [tex]x+y=50[/tex]
It is denoted by orange colour
STEP 3 : Now we draw for [tex]y\leq25[/tex] by letting [tex]y=25[/tex]
It is denoted by green colour.
STEP 4 : Now we draw for [tex]x\leq200[/tex] by letting [tex]x=200[/tex]
It is denoted by blue colour.
Three times one number plus a second number is 40, and the one number minus the second number is 4. Find the numbers.
Answer:
The numbers are 11 and 7
Step-by-step explanation:
To find these, use the statements to create equations in standard form.
3x + y = 40
x - y = 4
Now that we have these two, we can add them together and get the y's to cancel out.
3x + y = 40
x - y = 4
-------------------
4x = 44
x = 11
Now that we have the first number as 11, we can solve for y using either equation.
x - y = 4
11 - y = 4
-y = -7
y = 7
A jogger runs 91 yd in 10.00 seconds. What would be his time for a 449 m run at the same rate? Answer in units of s.
Answer:
4,910 seconds
Step-by-step explanation:
(: (: (: (: (: (: (: (: (: (: (: (: (:
Answer:
3
Step-by-step explanation:
I can see it in the demonstration graph
Answer:
3
Step-by-step explanation:
Male: 12
Female: 9
12 - 9 = 3
Hopes this helps
Help plz!! Will mark brainliest!
Answer: point Q is located in (3,4)
Step-by-step explanation: the ratio of SQ:QT is 5:2, and for every two units (up two, right two) it is one ratio. go up two, right two five times that leads a ratio between 5:2.
On a field trip, there was 5 girls for every 8 boys. How many girls attended the 130-student field trip
36?
Bc if you divied 130/5 (girls) you get 36? Im sorry this may not be right, I'm not for sure :P
Tickets for a basketball game cost $2 for students and $5 for adults. The number of students was 3 less than 10 times the number of adults. The total amount of money from ticket sales was $619. How many of each ticket were sold?
Answer:
The no. of adult's tickets sold is 25.
The no. of adult's tickets sold is 247
Step-by-step explanation:
Given :
Tickets for a basketball game cost $2 for students and $5 for adults.
The number of students was 3 less than 10 times the number of adults.
The total amount of money from ticket sales was $619.
To Find : No. of each ticket were sold
Solution :
Let x be the no. of the student's tickets sold
Let y be the no. of adult's tickets sold
Since we are given that The number of students was 3 less than 10 times the number of adults.
⇒ x = 10y -3 --(A)
Now cost of 1 student's ticket is $2
Thus, cost of x student's ticket is $2x
Now cost of 1 adult's ticket is $5
Thus,cost of y adult's ticket is $5y
Since we are given that the total amount of money from ticket sales was $619.
⇒2x +5y =619 ---(B)
Solving equation A and B by substitution method :
putting value of x from (A) in (B)
We get :
⇒2( 10y -3) +5y =619
⇒20y-6+5y= 619
⇒25y = 625
⇒y = 625/25
⇒y=25
Thus, the no. of adult's tickets sold is 25.
Putting value of y in equation A to get value of x .
⇒x = 10(25) -3
⇒x = 247
Thus the no. of adult's tickets sold is 247
You and your friend each start a car-washing service. You spend $25 $ 25 on supplies and charge $10 $ 10 per car. Your friend spends $55 $ 55 on supplies and charges $13 $ 13 per car. How many cars do you have to wash to earn the same amount of money as your friend?
Answer:
If this is from TTM the answer is 10 cars.
Step-by-step explanation:
Andy Taylor and Ben share their team payment in the ratio 1:3:4. What percentage of the total does Andy recieve?
Answer:
12.5%
Step-by-step explanation:
sum the parts of the ratio 1 + 3 + 4 = 8 parts
8 parts represents 100%, hence
1 part = [tex]\frac{100}{8}[/tex] = 12.5% ← Andy's percentage of the total
Andy Taylor's share in the ratio of 1:3:4 results in him receiving 12.5% of the total team payment.
Explanation:The question is about the sharing of a total team payment between Andy Taylor and Ben in the ratio of 1:3:4. To find out what percentage Andy receives, we first need to establish the total parts in the ratio. The ratio 1:3:4 sums up to 8 parts in total. Andy's share is represented by 1 part out of these 8. To find the percentage, we divide Andy's 1 part by the total 8 parts, multiply by 100, giving us 12.5%. This means that Andy receives 12.5% of the total team payment.
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Show all work plz and answer it quickly
Answer:
x + 4 = 7 + 4 = 11 feet
Step-by-step explanation:
Do you ever have a nice "fist", meaning you have very neat handwriting.
You are told that A to MSG = B to MSG
So
Equation
3x - 10 = x + 4
Solution
Subtract x from both sides
3x - x - 10 = x - x + 4 Simplify
2x - 10 = 4 Add 10 to both sides
2x - 10 + 10 = 4 + 10 Simplify
2x = 14 Divide by 2
2x/2 = 14/2
x = 7
x + 4 = 7 + 4 = 11 feet from A to Madison Square Garden
Please help!!
Which value of y is a solution of the inequality? 2y+9≤11
y = 1
y = 2
y = 11
y = 9
Answer:
y=1 for [tex]y\leq 1[/tex]
Step-by-step explanation:
We can solve an inequality much like we solve an equation. We will use inverse operations to isolate y. If we need to divide by a negative then we will need to flip the inequality.
[tex]2y+9\leq 11\\2y+9-9\leq 11-9\\2y\leq 2\\\frac{2y}{2}\leq \frac{2}{2} \\y\leq 1[/tex]
First, we moved 9 across the equal sign to combine it with 11 by subtracting by 9 from both sides.
Second, we divided both sides by 2.
[tex]y\leq 1[/tex] is the solution. All solutions equal to 1 and less than 1 will work.
A building's basement is 15 feet below ground. The building is square shaped with side lengths of 60 feet. If the height of the building is 55 feet, what is the length of the building from basement to roof? A) 40 feet B) 45 feet Eliminate C) 70 feet D) 75 feet
In circle O, AE and FC are diameters. Arc ED measures 17°. What is the measure of ? °
Hey There!
The answer is going to be the answer is
mEFC=253°
To find the answer you must find the value of mEF which is
mEF,mFEC,mDC,mED
You subtract each of them and you should get 73.
Then add 180 and your final choice should be 253
Answer:
253
Step-by-step explanation:
Kendyl is memorizing a piece of saxophone music to perform at a local festival. She currently has the first eight bars memorized and plans to memorize two more bars everyday until she has the whole piece memorized. Write a recursive formula to model Kendyl's progress.
Answer:
The recursive formula to model Kendyl's progress is:
Fourth option: an=an-1 + 2, a1=8
Step-by-step explanation:
She currently has the first eight bars memorized: The first value is 8:
a1=8
She plans to memorize two more bars everyday until she has the whole piece memorized:
The number of bars memorized is two more than the last day:
an=an-1 + 2
Then, the recursive formula is:
an=an-1 + 2, a1=8
Answer:
The correct choice is D hope that helps
The population of at a town has grown 2% each year. In 1998, the population of the town was about 10,000 people. What was the population in 1999?
Answer:
10200
Step-by-step explanation:
The population in 1999 was 10200.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the population of at a town has grown 2% each year. In 1998, the population of the town was about 10,000 people.
Let the population be in 1999 be {x}. Then, we can write -
{x} = 10000 + {2% of 10000}
{x} = 10000 + {2/100 x 10000}
{x} = 10000 + 200
{x} = 10200
Therefore, the population in 1999 was 10200.
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Write a solution in Interval Notation - (you don't have to help me on all, 1 or 2 is fine c: )
1) | m | -2 > 0
2) | x - 4 | - 3 > 5
3) | 6 + 9x | ≤ 24
4) | 1 - 5a | > 29
QUESTION 1
The given inequality is
[tex]|m|-2>0[/tex]
We group like terms to get,
[tex]|m|>2[/tex]
This implies that,
[tex]-m>2[/tex] or [tex]m>2[/tex].
We simplify the inequality to get,
[tex]m<-2[/tex] or [tex]m>2[/tex].
We can write this interval notation to get,
[tex](-\infty,-2)\cup (2,+\infty)[/tex].
QUESTION 2
[tex]|x-4|-3\:>\:5[/tex].
We group like terms to get,
[tex]|x-4|\:>\:5+3[/tex].
[tex]|x-4|\:>\:8[/tex]
We split the absolute value sign to get,
[tex]-(x-4)\:>\:8[/tex] or [tex]x-4\:>\:8[/tex]
This implies that,
[tex]x-4\:<\:-8[/tex] or [tex]x-4\:>\:8[/tex]
[tex]x\:<\:-8+4[/tex] or [tex]x\:>\:8+4[/tex]
[tex]x\:<\:-4[/tex] or [tex]x\:>\:12[/tex]
We can write this interval notation to get,
[tex](-\infty,-4)\cup (12,+\infty)[/tex].
QUESTION 3
The given inequality is
[tex]|6+9x|\leq 24[/tex]
We split the absolute value sign to obtain,
[tex]-(6+9x)\leq 24[/tex] or [tex](6+9x)\leq 24[/tex]
This simplifies to
[tex]6+9x\ge -24[/tex] and [tex]6+9x\leq 24[/tex]
[tex]9x\ge -24-6[/tex] and [tex]9x\leq 24-6[/tex]
[tex]9x\ge -30[/tex] and [tex]9x\leq 18[/tex]
[tex]x\ge -\frac{10}{3}[/tex] and [tex]x\leq 2[/tex]
[tex]-\frac{10}{3}\leq x\leq2[/tex]
We write this in interval form to get,
[tex][-\frac{10}{3},2][/tex]
QUESTION 4
The given inequality is
[tex]|1-5a|>29[/tex]
We split the absolute value sign to get,
[tex]-(1-5a)>29[/tex] or [tex]1-5a>29[/tex]
This simplifies to,
[tex]1-5a\:<\:-29[/tex] or [tex]1-5a\:>\:29[/tex]
This implies that,
[tex]-5a\:<\:-29-1[/tex] or [tex]-5a\:>\:29-1[/tex]
[tex]-5a\:<\:-30[/tex] or [tex]-5a\:>\:28[/tex]
[tex]a\:>\:6[/tex] or [tex]a\:<\:-\frac{28}{5}[/tex]
We write this in interval notation to get,
[tex](-\infty,-\frac{28}{5})\cup (6,+\infty)[/tex]