the value of x would be 22/3 after simplification.
What is simplification?The acts or process of simplifying something such that it is simpler to accomplish or understand, or the item that is the consequence of such simplifying: The group offers suggestions on how to make trade procedures simpler. In mathematics, we generally use the PEMDAS method to simplify the values.
Given, the equation in the form of x is 3/4(x−8)= −1/2
For the value of x
3/4(x−8)= −1/2
multiply by 4 on both sides
3(x - 8) = -2
divide by 3 into both the sides
x - 8 = -2/3
add 8 on both sides
x = -2/3 + 8
x = 22/3
therefore, the value of x for the given equation 3/4(x−8)= −1/2 is 22/3.
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Calculate the area of a circle with a radius of 2.3 cm.
Answer:
16.62 cm²
Step-by-step explanation:
A = πr² is the appropriate equation here.
If r = 2.3 cm, then A = π(2.3 cm)² = 16.62 cm²
Please help !!
50 Points
Write a division problem that has a quotient of 9/10 . At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or improper fraction. Neither the dividend nor the divisor can be 9/10 .
By dividing we can get proper fraction is 9/10.We can find answer by dividing two fractions.
What is proper fraction with example?A proper fraction is a fraction which has its numerator value less than the denominator. For example, ⅔, 6/7, 8/9, etc. are proper fractions.. We simplify fractions because it is always to work or calculate when the fractions are in the simplest form.
How do you divide fractions?To divide a fraction with a whole number we multiply the given whole number with the denominator of the fraction. Here, 8/5 ÷ 5 = 8/5 × 1/5 = 8/25. Therefore, 8/5 ÷ 5 = 8/25. Because multiplication is easier than division and because division by itself does not always produce whole numbers.
Now we get
1/2 divide 5/9
1/2 * 9/5
9/5
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Music, in 2001, full-length cassettes represented 3. 4% of total music sales. Between 2001 and 2006, the percent decreased by about 0. 5% per year.
a. Write an equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006
b. Find the percent of recorded music sold as full-length cassettes in 2004
a) An equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 : y = -0.5x + 3.4
b) The percent of recorded music sold as full-length cassettes in 2004 = 1.9%
As, between 2001 and 2006, the percent of recorded music sold was decreased by about 0. 5% per year.
This means, the slope m = -0.5
In 2001, full-length cassettes represented 3. 4% of total music sales.
This means the y-intercept would be c = 3.4
So, an equation to find the percent P of recorded music sold as full-length cassettes for any year x between 2001 and 2006 would be,
y = mx + c
Substituting value of m and c,
y = -0.5x + 3.4
Now to find the percent of recorded music sold as full-length cassettes in 2004
Here, the number of years x would be
x = 2004 - 2001
x = 3
So, the percent of recorded music sold would be,
y = (-0.5 × 3) + 3.4
y = 1.9%
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There is a bag filled with 5 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?
Y=6 and x=-1 parallel or perpendicular line
Answer:
perpendicular
Step-by-step explanation:
express √832 in the form 4n where n is the integral
We can express √832 as 4(2√13).
What is definite integral?A definite integral of a function can be represented as the signed area of the region bounded by its graph.
Given is the root of 832 or √832.
Assume that {4n} is equal to {y}. So, we can write -
y = 4n
Squaring both sides, we get -
y² = (4n)² = (√832)²
y² = 16n² = 832
16n² = 832
n² = (832/16)
n² = 52
n = √52
n = 2√13
So, we can write (√832) as 4(2√13).
Therefore, we can express √832 as 4(2√13).
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Answer if you know asap!
The circumference of a circle is 13.3(pi symbol) ih eget is the radius of the circle
A)3.9in
B)5.75 in
C) 6.15 in
D)10.1 in
Answer:
I think 6.15in is the answer (hope u get it right)
Step-by-step explanation:
Someone help with this please
Answer:
1/2
Step-by-step explanation:
hridnrle9hsveienrorbroronrjr
Answer: d
Step-by-step explanation:
Hope you have a good day can I please get branlyist
If m | n and the slope of line m is 3, what is the slope of line n?
Α. 1/3
B. -1/3
C. -3
D. 3
Answer:
D. 3
Step-by-step explanation:
The slopes of parallel lines are the same.
HELP ASAP
PLEASE REFER TO PHOTO
According to the pattern Brett receives points as follows 5,10,15,20,25,30,35 and according to the pattern of Yolanda, Yolanda receives points as 25,60,95,130,165,200,235 .
What is recursion ?
It is a process in which it calls itself to solve the given problem is called as recursion.
The recursive formula to find the nth term of a geometric sequence is:
an = an-1 * r for n ≥ 2
In Brett's case,
if n=2
a2 = a1 * r
given a2 = 10 a1 =5
10 = 5 *d
d=2
a4 = a3 * d = 20*2 = 40
a5 = a4*d = 40*2 = 80
a6 = a5*d = 80*2 = 160
a7 = a6 * d = 160*2 = 320
In Yolanda case,
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
if n=2
a2 = a1 + d
60 = 25 + d
d = 35
a4 = a3+d = 95 + 35 = 130
a5 = a4+d = 130 + 35 = 165
a6 = a5+d = 165 + 35 = 200
a7 = a6 +d = 200 + 35 = 235
Hence the pattern in Brett's case could be 5,10,15,20,25,30,35 and in Yolando's case could be 25,60,95,130,165,200,235 .
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According to the pattern Brett receives points as follows 5,10,15,20,25,30,35 and according to the pattern of Yolanda, Yolanda receives points as 25,60,95,130,165,200,235 .
What is recursion ?It is a process in which it calls itself to solve the given problem is called as recursion.
The recursive formula to find the nth term of a geometric sequence is:
an = an-1 * r for n ≥ 2
In Brett's case,
if n=2
a2 = a1 * r
given a2 = 10 a1 =5
10 = 5 *d
d=2
a4 = a3 * d = 20*2 = 40
a5 = a4*d = 40*2 = 80
a6 = a5*d = 80*2 = 160
a7 = a6 * d = 160*2 = 320
In Yolanda case,
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
if n=2
a2 = a1 + d
60 = 25 + d
d = 35
a4 = a3+d = 95 + 35 = 130
a5 = a4+d = 130 + 35 = 165
a6 = a5+d = 165 + 35 = 200
a7 = a6 +d = 200 + 35 = 235
Hence the pattern in Brett's case could be 5,10,15,20,25,30,35 and in Yolando's case could be 25,60,95,130,165,200,235 .
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I will Mark BRAINLIEST if correct please answer
y varies inversely with x. If y = 40 when x = 16, find x when y = -5.
Two points (2, 10) and (-4,4) lie on a
line. What is the y-intercept of that
line?
Answer:
The y-intercept is 8.
Step-by-step explanation:
[tex]\frac{2+4}{10-4\\} \\\frac{6}{6} =1\\\\\\slope=1\\1(2)+y=10\\2-2+y=10-2\\y=8[/tex]
Now, you do the math: Tell us if you can afford the apartment using the details below. . Your gross paycheck is $2100 per month. . You're looking at a very small one-bedroom apartment that rents for only $650 per month . The electric bill runs about $60 per month for power. . You'll pay about $10 per month for gas. . An Internet line will cost you $20 per month. . You have to rent a parking space for your old buggy at $20 per month. Can you afford to get this apartment? O Yes. O No. If no, how much can you afford to pay in rent plus housing expenses? $ Submit
Answer:
the answer it clearly no I use foolproof and i try and put yes but it wont let me pass but i dont understand why no
Step-by-step explanation:
No, the amount should be $700.
What is Gross Pay?Before taxes, benefits, and other payroll deductions are taken out of an employee's paycheck, that amount is known as their gross pay. Net pay, often known as take-home pay, is the amount that is left after all withholdings have been taken into account.
Given:
Gross Pay = $2100 per month.
Maximum amount that can be spend on rent and housing expenses is
= 1 by 3 × $2100
= $700
Now, Total Expenses per month
= Rent + Electricity bill + Gas + Internet line + Parking space
= $650 + $60 + $10 + $20 + $20
= $760
No, I am unable to purchase this property since my monthly expenses exceed the maximum budget for rent and housing costs, which is $700.
According to the monthly amount authorised for the same, we can only pay a maximum of $700.
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Mia is taller than Gage. If m represents Mia’s height and g represents Gages hight write an inequity that shows the relationship between their heights. Answer plsssssssss
The inequality that shows the relationship between thier heights is; g < r or r > g
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Now we have the following parameters that can be used in our computation:
Reese is taller than Gage.
Also, we have
Reeses's height = r
Gage's height = g
Since Reese is taller than Gage, then it means that
The value of r is greater than the value of g
So, we have the following inequality expression;
r > g
Also, we have;
g < r
Hence, the inequality is g < r
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Find the inverse of the function f(x) = 2÷3x -6
Answer:
f⁻¹(x) = 3/2x +9
Step-by-step explanation:
You want the inverse of the function f(x) = 2/3x -6.
Inverse functionThe inverse function can be found by solving for y:
x = f(y)
Here, that is ...
x = 2/3y -6
x +6 = 2/3y . . . . . . . . . . . . . . add 6
y = 3/2(x +6) = 3/2x +9 . . . . multiply by 3/2
The inverse function is f⁻¹(x) = 3/2x +9.
__
Additional comment
Sometimes the division symbol ÷ is used to mean "divided by everything after this symbol." If that is the intended meaning, the function should be written as f(x) = 2/(3x -6) or f(x) = 2÷(3x -6).
We have interpreted the symbol according to the order of operations, which tells us that 2÷3x-6 means ((2÷3)·x)-6.
<95141404393>
-8 5/9 = 4 2/3w
.............................
Answer:
w = -11/6
Step-by-step explanation:
-8 5/9 = 4 2/3w
-8 5/9 = -77/9
4 2/3 = 14/3
So, our equation is
-77/9 = 14/3w
Divided both sides by 14/3
w = -11/6
FIND THE SUM OF ALL NATURAL NUMBERS FROM 1 TO 100 (ARITHMETIC PROGRESSION)
Answer:
According to arithmetic progression, natural numbers can be written down as 1, 2, 3, 4, 5, 6, 7, and 8 to 100. Basically, the sum of the first 100 natural numbers is equal to 5050.
Does (1, 10) make the inequality y ≤ 5x + 4 true?
yes
no?
Answer:
No, it is not true
Step-by-step explanation:
y ≤ 5x + 4
We know a point is (1,10), we need to put the 1 in for x and the 10 in for y to see if the inequality is true or not!
10 ≤ 5(1) + 4
10 ≤ 5 + 4
10 ≤ 9
This is not True!
Answer: nope
Step-by-step explanation:
need help with #7 a and b. i’m in Algebra 1 and this is lesson 5 Exponential Algebra and Functions.
There is no upper limit if the ratio raises x to a higher power. The limit is 0 if the ratio causes the power of x to be reduced to zero.
A ratio is what?A ratio is an expression for an ordered pair of numbers, a and b, where b is not equal to zero and the expression is written as a/b. A ratio is created by combining two ratios. Assuming a ratio of one boy to three girls, this would suggest that 3/4 of the population is female and only 1/4 is male. A part can be an amount, a percentage, or the difference between two or more objects.
Here,
The ratio of, say, the highest-degree words serves as the upper bound as x grows.
There is no upper bound on how much the ratio can raise the power of x. The limit is 0 if the ratio causes the power of x to be reduced to zero.
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2) Write down the value of the digits in bold. (4)
(c) 5,893
SO00 (0) 9,990
(b) 3,59
(a) 6,298 200
Answer:
(4) (c) 5,893 SO00
(0) 9,990
(b) 3,59
(a) 6,298 200
Step-by-step explanation:
Given that
The value of the digits is
(4) (c) 5,893 SO00
(0) 9,990
(b) 3,59
(a) 6,298 200
We need to write the value of the digits in bold
So,
(4) (c) 5,893 SO00
(0) 9,990
(b) 3,59
(a) 6,298 200
in this way the value of the digits can be bold
What relationship exists between Nand K?
Given:
KLMN is a parallelogram.
Helppppp meee
The relationship exists between N and K are the endpoints of the side KN.
A parallelogram is a geometric object with sides that are parallel to one another in two dimensions.
It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length.
we know that for a parallelogram KLMN is a quadrilateral whose two sides are parallel to each other and has two non-parallel sides.
for N and K we could say that the two are endpoints of the line segment KN; which is one of a side of a parallelogram KLMN.
Therefore, The relationship exists between N and K are the endpoints of the side KN.
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The graph of y = x2 has been translated 7 units to the left. The equation of the resulting parabola is _____.
The equation of the parabola after the translation is:
g(x) = (x - 7)^2
What is the equation for the resulting parabola?We know that we start with a parabola of the form:
y = x^2
Now we know that the parabola has been translated 7 units to the left.
Remember tht for a general function y = f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N > 0, the translation is to the left.if N <0, the translation is to the right.So a translation of 7 units to the left is written as:
g(x) =f(x - 7)
g(x) = (x - 7)^2
That is the equation of the parabola after the translation.
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What is the volume of the rectangular prism? 5/4 5/2 3
The rectangular prism's volume is equal to [tex]$V=9.375 \mathrm{~m}^3$[/tex]. Prism volume (V) is equal to B ×h, where h is the prism's height and B is the area of the base.
What is the formula to rectangular prism?1.25 metres in length, 2.5 metres in width, 3 metres in height, and a diagonal length of 4.10030487 metres make up the total surface area. [tex]$\mathrm{S}_{\text {tot }}[/tex]=[tex]28.75 \mathrm{~m}^2$[/tex] , Latitudinally exposed area [tex]$S_{\text {lat }}=22.5 \mathrm{~m}^2$[/tex] , maximum surface area is [tex]$S_{\text {top }}=3.125 \mathrm{~m}^2$[/tex] , surface area of the ground is [tex]$S_{\text {bot }}=3.125 \mathrm{~m}^2$[/tex] so that the volume is [tex]$V=9.375 \mathrm{~m}^3$[/tex]
When determining the volume of a rectangular prism , we multiply its length, width, and height. The base's area multiplied by the height gives the rectangular prism its volume. Length, width, and height are the cubic units that make up a rectangular prism's volume. Any rectangular solid's volume, V, is equal to the sum of its dimensions, height, width, and depth. In terms of the area of the base, we might alternatively express the formula for a rectangular solid's volume. Size times width equals the base's area, B.
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Please give me a step by step explanation
Answer:
[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]
Step-by-step explanation:
The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].
[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]
We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].
Now add these equations together to get our equation.
[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]
Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].
=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]
The 7% sale tax on the new $32,000 car
Answer:
7/100x32000
cancel the two zeros in 100 and 32000
7x320=2240
Simplify algebraic expression
Answer:
1
Step-by-step explanation:
To start, we will substitute 8 in for w. So, we get:
[tex]5 - \frac{32}{8}[/tex]
Then, we simplify our fraction, giving us:
5 - 4
Then, 5 - 4 = 1. So our answer is 1.
Hope this helped!
Answer:
5 - (32/w) = 1
Step-by-step explanation:
Given expression,
→ 5 - (32/w)
Now we have to use,
→ w = 8
Let's solve the expression,
→ 5 - (32/w)
→ 5 - (32/8)
→ 5 - (4)
→ 5 - 4
→ 1 => final value
Therefore, the answer is 1.
32. Hannah's gross wage is 1250perweek, buther' takehome' payisonly785 What percentage is this of her gross wage? Give your answer correct to the nearest whole percentage.
Therefore , the solution of gross pay problem is 62% is this of her gross wage.
What percentage is this of her gross wage?Hannah's take home pay of percentage 785 is 62.8% of her gross wage of 1250. This can be calculated by dividing 785 by 1250 and multiplying the answer by 100.
Here,
62.8% is the same as 0.628.
This can be calculated by dividing 785 by 1250.
To get the answer to the nearest whole percentage, we round up 0.628 to 0.63 which is 63%.
This means that Hannah's take home pay of 785 is 63% of her gross wage of 1250.
63% is the answer to the question: what percentage is Hannah's take home pay of her gross wage? This is correct to the nearest whole percentage.
To summarise, Hannah's take home pay of 785 is 63% of her gross wage of 1250, correct to the nearest whole percentage.
Hannah's take-home pay is 62.8% of her gross wage. This percentage is the result of taxes and other deductions taken by her employer.
Knowing this percentage can help Hannah better understand how much money she is taking home each week and how much money is being withheld from her paychecks.
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Suppose the following triangle is isosceles. Find the value of x.
Answer:
x = 62
Step-by-step explanation:
Because of the given congruent sides, the base angles both measure x.
x + x + 56 = 180
2x = 124
x = 62
if the triangle is an isosceles triangle then x is equal to the other angle that is unknown. So
180-56=124. Since there are still 2 angles left you divide 124/2=62
x=62
Northlake High School has two lunch periods. Students can eat their lunch in the cafeteria or on an outside patio. About 35% of students who have first lunch eat outside. Compare this with the percentage of second-lunch students who eat outside.
Select the true statement.
A. A smaller percentage of second-lunch students (24%) eat outside.
B. A greater percentage of second-lunch students (39%) eat outside.
c. A greater percentage of second-lunch students (41%) eat outside.
D. A smaller percentage of second-lunch students (18%) eat outside.
A / P / E / X
B. A greater percentage of second-lunch students (39%) eat outside.
From the table above, the percentage second-lunch students who eat outside is calculated as follows:
%= number of students who eat outside/total number of students who have second lunch × 100/1
%=18/46 x 100/1
%=39.1%
What is PercentPercent is usually used to describe data in percentage form. This mathematical science is often used when calculating population percentages, discounts, interest rates, and so on. Percent is a number that represents part or all of the value or goods by forming a ratio of one hundred. Percent has an infinitely high value, while its lowest value is 0 percent. The amount of the percentage is denoted by "%".
History of Percent NumbersThis number was born in ancient Rome to be precise from the collection of auction taxes by using a fraction of 1/100 of the auction value or called centesima rerum venalium. the percent symbol has changed several times. Originally the Latin word percento was used. However, in the next generation, the word percento was changed to two symbols, namely the word per which changed to "/" and cento which changed to "00". Until finally the symbol "%" was known.
Percent formulaThe simple formula for calculating percent is: Percentage (%) = (Total parts)/(Total amount) X 100%. The general percentage formula for calculating the percentage of a number that is considered as part of the whole is written in percent or 100%.
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