Answer:
x=-25
Step-by-step explanation:
Inverse variation
xy =k
We know x and y
20*5 =k
100 =k
So the formula is
x y = 100
We know y = -4
x (-4) = 100
Divide each side by -4
-4x/-4 = 100/-4
x = -25
the first two steps in determining the solution set of the system of equations y=x^2-6x
+12 and y=2x-4
Answer:
The answer for y=2x-4 would be...x=1/2y+2
Step-by-step explanation:
Step 1: Flip the equation.
2x-4=y
Step 2: Add 4 to both sides.
2x-4+4=y+4
2x=y+4
Step 3: Divide both sides by 2.
2x/2=y+4/2
x=1/2y+2
Answer:
(4,4)
Step-by-step explanation:
solve for the variable, then substitute
checked on calc and edge
please mark 5 stars when you get it right so this is easier to find lol
PLEASE HELP QUICK
Celia uses the steps below to solve the equation -3/8(-8-16d)+2d=24
Step 1 Distribute -3/8 over the expression in parentheses.
3-16d+2d=24
Step 2 Simplify like terms.
3-14d=24
Step 3 Subtract 3 from both sides of the equation.
-14d=21
Step 4 Divide both sides of the equation by –14.
d=21/-14=-3/2=-1 1/2
Which corrects the error in the step in which Celia made the first error?
In step 1, she should have also distributed -3/8 over 2d, to get 3-16d+(-3/4d)=24.
In step 1, she should have also distributed -3/8 over –16d, to get 3+6d+2d=24. In step 3, she should have added 3 to both sides of the equation to get -14d=27.
In step 3, she should have first divided both sides by –14 to get 3+d=24 .
Answer:
In step 1, she should have also distributed Negative StartFraction 3 over 8 EndFraction over –16d, to get 3 + 6 d + 2 d = 24.
Step-by-step explanation:
(B)
The error in the step 1, she should have also distributed -3/8 over –16d, to get 3 + 6d + 2d = 24
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation:
(-3/8)(-8-16d) + 2d = 24
Step 1: Distribute -3/8 over the expression in parentheses:
3 + 6d + 2d = 24
Step 2 Simplify like terms:
3 + 8d = 24
Step 3 Subtract 3 from both sides of the equation:
8d = 21
Step 4 Divide both sides of the equation by 8:
d = 21/8
The error in the step 1, she should have also distributed -3/8 over –16d, to get 3 + 6d + 2d = 24
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How to solve a Solve 4(3x-1) = 20
Answer:
x = 2
Step-by-step explanation:
expand the brackets firstly,
so 12x-4 = 20
then add the -4 onto the other side
so 12x = 24
then divide 24 by 12 to get x
so x = 2
HELP!!!!
Write an explanation for both Part A and B using 3-4 complete sentences.
Part A:
Explain how you can determine if a system of equations will have no solution when comparing the graph of the equations.
Part B:
Explain how you can determine if a system of equations has no solution by comparing each algebraic equation.
Be sure that your explanation includes 3 of the 4 words below:
-parallel
-slope
-y-intercept
-slope intercept form
Answer:
See below.
Step-by-step explanation:
Part A: A system will have no solution when the graphs are parallel and do not intersect.
Part B: A system will have no solution when the equations have the exact same slope. The same slope means they are parallel and do not intersect. This is done easiest in slope-intercept form.
The “p hat” is calculated as
Formula of [tex]p hat = \frac{X}{n}[/tex] help us to calculate p hat , where X represents the number of occurrence of desired event and n represents the specified of sample space.
What is p hat?" p hat is defined as the probability of the occurrence of random event to the specified sample space."
According to the definition,
p hat can be calculated using formula
[tex]p hat = \frac{X}{n}[/tex]
'X' represents the number of occurrence of the desired event
'n' represents the specified sample space.
p hat is nothing but the probability of finding specified sample size.
Hence, formula of [tex]p hat = \frac{X}{n}[/tex] help us to calculate p hat.
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Can someone help me with these 3 questions? I am really stuck on them. Thank you so much. I'm offering 80 brainly points.
Answer:
not sure about the answers to all the other one but the answer to the 3rd question is y=1
3x or y=1/3x
Make 2 equations for this geometric sequence:
36, 18, 9, 4.5, 2.25, 1.125, 0.5625, 0.28125...
five less than a number is at least 40. write and solve an inequality to find the minimum value of the number
Answer:
45
Step-by-step explanation:
5 less than your number is at least 40. Let the number be x. So rephrasing the statement, 5 less than x is greater than or equals 40.
x-5 ≥ 40
x-5+ 5 ≥ 40+5 (adding 5 to both sides to single out the x in LHS)
∴x ≥ 45
In other words, x is at least 45.
Therefore, the minimum value of x is 45.
Final answer:
The inequality that represents 'five less than a number is at least 40' is x - 5 ≥ 40. To solve this, we add 5 to both sides, resulting in x ≥ 45. This means the minimum value of the number is 45.
Explanation:
To express the statement five less than a number is at least 40 as an inequality, let's designate the unknown number as x. The phrase five less than a number translates to x - 5, and at least 40 means the value is 40 or greater, which we write as ≥ 40. Combining these, the inequality is x - 5 ≥ 40.
Now, we solve the inequality step by step:
Add 5 to both sides: x - 5 + 5 ≥ 40 + 5
Simplify both sides: x ≥ 45
The minimum value of x is 45; therefore, any number that is 45 or greater satisfies the inequality.
calculate the number in the middle of -5 and 12
[tex]\bf \boxed{-5}\rule[0.35em]{5em}{0.25pt}0\rule[0.35em]{2em}{0.25pt}\stackrel{\stackrel{middle}{\downarrow }}{3.5}\rule[0.35em]{8.5em}{0.25pt}\boxed{12}[/tex]
What is the solution of 3 sqrt x+8=-4?
Answer:
[tex]x=-72[/tex]
Step-by-step explanation:
The given equation is [tex]\sqrt[3]{x+8}=-4[/tex].
We cube both sides of this equation to obtain;
[tex](\sqrt[3]{x+8})^3=(-4)^3[/tex].
This implies that;
[tex](x+8)=-64[/tex]
We group similar terms to obtain;
[tex]x=-64-8[/tex]
We simplify the right hand side of the equation to obtain;
[tex]x=-72[/tex]
Therefore x=-72 is the solution of the given equation.
The equation 3 √x + 8 = -4 has no solution. The square root term, when isolated, shows a contradiction since the square root of a non-negative number multiplied by a positive constant cannot be negative.
Explanation:The solution to the equation 3 √x + 8 = -4 involves finding the value of x for which the equation holds true. Given that √4 can be both 2 and -2, we explore the possibility of squaring both sides of an equation to solve for x. However, in this case, since the square root of a number cannot be negative and the original equation involves a square root on the left side, this hints at no solution being possible because the left side (involving the square root) will always be non-negative, and cannot equal a negative number.
Nevertheless, let's attempt to formally solve the equation. Isolating the square root term by subtracting 8 from both sides results in 3 √x = -12. At this point, we encounter a contradiction: the left side represents a non-negative value (since it's 3 times the square root of x), but the right side is negative. This confirms there are no real solutions to the equation because the square root of a non-negative number (x) cannot result in a negative value when multiplied by a positive constant (3).
Smart growth is an urban planning theory that promotes the development of suburbs surrounding major city centers.
True or False
the answer is false, i hope this helps
Answer:
The given statement is false.
Step-by-step explanation:
Smart growth is an urban planning theory that promotes the development of suburbs surrounding major city centers.
Rather smart growth is defined as a well planned economic development and community development with an aim to curb urban fall out and reduce the worsening environmental conditions.
I need help!!! .............
answer = 9.125
first i changed the mixed number to a percentage 73/8 and did 73 divided by 8 to get my decimal.
Morgan started the year with $615 in the bank and is saving $25 per week Kendall started with $975 and is spending $15 per week .when will they both have the same amount of money in the bank ?
Answer:
Step-by-step explanation:
You can represent Morgan's scenario with the expression, 25w + 615, and you can represent Kendall's scenario with the expression, 15w + 975. To find out when they both have the same amount of money in their accounts, you set them equal to each other and solve for w:
25w + 615 = 15w + 975
25w = 15w + 360
10w = 360
w = 36
Morgan and Kendall will have the same amount of money after 36 weeks.
To find the week when Morgan and Kendall will have the same amount of money in the bank, we set up the equation 615 + 25x = 975 - 15x and solve for x.
Explanation:To find the week when Morgan and Kendall will have the same amount of money in the bank, we need to set up an equation. Let x represent the number of weeks. The equation for Morgan's savings is 615 + 25x, and the equation for Kendall's savings is 975 - 15x. To find the week when they have the same amount of money, we set up the equation 615 + 25x = 975 - 15x. Solving this equation will give us the value of x, which represents the number of weeks.
615 + 25x = 975 - 15x
Combine like terms:
40x = 360
Divide both sides by 40:
x = 9
Therefore, Morgan and Kendall will have the same amount of money in the bank after 9 weeks.
Paula needs to sod square feet of land. Assuming that Paula can cut the sod into pieces, the number of 3 square foot pieces of sod she needs how many?
Step-by-step explanation:
You would need how many square feet. Divide the amount of square feet of land by 3. That should be the answer if it divides evenly, if there is a decimal or a fraction after it then round up to the next whole number
Answer:
Paula needs to sod
3,855
square feet of land. Assuming that Paula can cut the sod into pieces, the number of 3-square-foot pieces of sod she needs is
1,285
.
Step-by-step explanation:
The diagram shows one way to decompose this shape into two rectangles. One rectangle is 75 feet × 50 feet, and the other is 7 feet × 15 feet.
Jimmy pays $2.52 for each gallon of gas. Which table best represents the relationship between g, the number of gallons purchased, and m, the amount he pays for gas?
The table that best represents the relationship between the number of gallons purchased, g, and the amount paid for gas, m, will list m as multiples of $2.52 as per the linear relationship g: $2.52 * g.
Jimmy pays $2.52 for each gallon of gas. To find the best table representing the relationship between g, the number of gallons purchased, and m, the amount he pays for gas, we need to create a table where each entry form is the product of g and the price per gallon, which is $2.52.
For each gallon g, the total cost m would be:
For 1 gallon: m = 1 * $2.52 = $2.52
For 2 gallons: m = 2 * $2.52 = $5.04
For 3 gallons: m = 3 * $2.52 = $7.56
...and so on.
This pattern will continue since the relationship is linear, and the table representing it will list the total cost m corresponding to the number of gallons g based on this constant rate of $2.52 per gallon.
Jessica has 48 coins, some of them are nickels and some are dimes. How many of each does she have if she has $3.25 total?
Nickel = 0.05
Dime = 0.10
XNickels + YDimes = 3.25
0.05X + 0.1Y = 3.25
You could do this using trial and error.
You know the maximum amount of dimes you could have is 32. Because 32 * 0.1 = 3.20. If you had 33 dimes, you'd go over the limit.
You also know you need to have 48 coins. If you have 32 dimes and 1 nickel, you will not have 48 coins.
You can try any number below 32. I will try 16 because it's half of 32.
16 * 0.1 = 1.60
48 - 16 = 32 coins left
32 * 0.05 = 1.60
1.60 + 1.60 = 3.20
We're a nickel off, therefore we need to remove a nickel and add a dime.
17 * 0.1 = 1.70
48 - 17 = 31
31 * 0.05 = 1.55
1.70 + 1.55 = 3.25
Jessica will have 17 Dimes and 31 Nickels.Jessica has about 31 nickels, 17 dimes which is worth $3.25
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of nickels and y represent the number of dimes.
x + y = 48 (1)
Also:
0.05x + 0.1y = 3.25 (2)
x = 31, y = 17
Jessica has about 31 nickels, 17 dimes which is worth $3.25
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what is the approximate area of a quarter circle with a radius of 22 m is using pi equals 3.14
Answer: The answer without estimation is 1,519.76 but with estimation it’s 1,520 m.
Step-by-step explanation:
The formula for this situation is A = pi(or in this case 3.14) times the radius squared. If you know the formula then the rest is just to plug in and estimate if you have too.
Sid needs 0.5 meters of canvas material to make a carry all bag for his wheelchair. If canvas is 6.75 per meter how much will Sid spend ?
Answer:
$3.38
Step-by-step explanation:
6.75/2= $3.375
Answer: $3.375
Step-by-step explanation:
Given : Sid needs 0.5 meters of canvas material to make a carry all bag for his wheelchair.
Also, the cost of one meter of canvas = $6.75
Then, the cost of 0.5 meters is given by :-
[tex]0.5\times\$6.75\\\\=\$3.375[/tex]
Therefore, Sid will spend $3.375 on buying canvas material to make a carry all bag for his wheelchair..
An airplane at cruising altitude starts descending for a landing. The function f (t) = 33,600 – 1500t describes its altitude t minutes after starting its descent. What is the airplane's altitude after 10 minutes?
ANSWER
18,600
EXPLANATION
The function that describes the altitude of the plane t minutes after starting its descent is
[tex]f(t) = 33600 - 1500t[/tex]
To find the airplane's altitude after 10 minutes, we substitute t=10 into the function.
[tex]f(10) = 33600 - 1500(10)[/tex]
[tex]f(10) = 33600 - 15000[/tex]
[tex]f(10) = 18600[/tex]
Therefore the airplane's altitude after 10 minutes is 18,600 units.
Miss Penny inherits £390. She decides to save some of the money and spend the rest.
The ratio of savings to spending money is 5 : 8
How much does she save and how much does she spend?
Answer:
saving=150
spending=240
Step-by-step explanation:
390/13=30
savings=30*5
spending=30*8
Answer:
£150 saved; £240 spent.
Step-by-step explanation:
If the ratio of savings to spending is 5:8, we find the fractions representing the amount saved and the amount spent by adding up 5 and 8 and then forming fractions:
savings: 5/13
spending: 8/13
(5/13) of £390 is £150; this is the amount saved.
(8/13) of £390 is £240; this is the amount spent.
i NEEEED HELP PLEASE COMMENT IF U WILL HELP ME. ITS AN ALGEBRA QUESTION Enter your answer and show all the steps that you use to solve this problem in the space provided.
f(x)=9x3+2x2−5x+4and g(x)=5x3−7x+4.what is f(x)−g(x)?
Show all of your steps and write your final answer in factored form.
PLEASE HELP FAST 20 PTS
f(x)= 9x^3+ 2x^2 -5x+ 4
g(x)= 5x^3 -7x+ 4
f(x) - g(x)
= (9x^3+ 2x^2 -5x+ 4) - (5x^3 -7x+ 4)
= 9x^3+ 2x^2 -5x+ 4 -5x^3+ 7x -4
= (9x^3 -5x^3)+ 2x^2+ (7x -5x)+ (4-4) (combine like terms)
= 4x^3+ 2x^2+ 2x
= 2x* (2x^2+ x+ 1)
The final answer is 2x* (2x^2+ x+ 1).
The final answer in factored form is 2x(x² + x + 1).
f(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
To find f(x) - g(x) ,, we subtract g(x) from f(x) term by term.
Subtract the like terms from f(x) and g(x):f(x) - g(x) = (9x³ + 2x² - 5x + 4) - (5x³ - 7x + 4) = 4x³ + 2x² + 2x
The final answer in factored form is 2x(x² + x + 1).
The prices for a video game at 5 different stores are 39.99, 44.99, 29.99, 35.99, and 31.99. What is the mode(s) of the data
The mode is the value that appears most frequently in a set of data. In the provided data ($39.99, $44.99, $29.99, $35.99, and $31.99), each value appears only once, so this set has no mode.
The mode of a set of data is the value that appears most frequently. Taking into account the prices for a video game at five different stores, which are
$39.99, $44.99, $29.99, $35.99, and $31.99, we need to determine if any of these values appear more than once.
Since each price appears only once, there is no repeating value, therefore this set of data has no mode.
To understand the concept better, if we had a set of prices in which at least one price appears more than once, that repeating price would be considered the mode. For example, if we had the prices $29.99, $29.99, $35.99, $39.99, and $44.99, then the mode would be $29.99 because it appears twice.
Look at the picture will give brainliest!!! Good luck!!
Answer:
A and D are your answers
Step-by-step explanation:
What features do all right triangles have in common
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The answer is that there is a right angle(90 degrees) and also there are three sides.
Explanation: Since all right triangles have a right angle, and also is a triangle, they have three sides and one is 90 degrees.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
The common features of all the right angled triangles are the highest angle is the right angle (90°), Pythagorean theorem is applicable.
What is a triangle?Any figure bounded by 3 sides and the sum of all the internal angles is 180° is called a angled triangle.
What is a right angled triangle?Any triangle whose one angle is 90° is called a right angled triangle.
How to find what features do all right triangles have in common?The common features of all the right angled triangles are discussed below:
All the right angled triangles have one angle 90°.The side opposite to the right angle( 90° ) is the longest and is called the hypotenuse.Pythagorean Theorem is applicable which says that squares of the length of the hypotenuse is equal to the sum of the squares of the lengths of the base and perpendicular.These are the common features.
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Evaluate C(8, 2). 56
28
40,320
20,160
Answer:
option B
28
Step-by-step explanation:
Given in the question,
C(8,2)
Formula to use
nCr = n! / r! * (n - r)!here n = 8
r = 2
We have to calculate combinations of 8 object taken 2 at a time, then
C(8,2)
8C2
8! / 2! * (8 - 2)!
[tex]\frac{8*7*6*5*4*3*2*1}{2*1(6!)}[/tex]
[tex]\frac{8*7*6*5*4*3*2*1}{2*1(6*5*4*3*2*1)}[/tex]
[tex]\frac{8*7}2[/tex]
56/2
28
So, 8C2 = 28
The combination C(8, 2) in the given problem equals 28.
Mathematically, a combination refers to a selection of items from a larger set without regard to the order of selection. It is a way to count the number of different subsets or groups that can be formed from a given set.
In other words, a combination is a selection of r objects from a set of n distinct objects, where the order of selection is not considered. The number of combinations represented as C(n, r), represents the count of possible combinations.
It is known that C(n, r) = [tex]\frac{n!}{r!(n - r)!}[/tex],
So,
C(8, 2) = [tex]\frac{8!}{2!(8- 2)!}[/tex],
= [tex]\frac{8!}{2!6!}[/tex]
= [tex]\frac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{(2\times 1) (6\times 5\times 4\times 3\times 2\times 1)}[/tex]
= 28.
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Whats the value of y
2y + 15 = 4y - 45
Answer:
[tex]\boxed{\bold{y=30}}[/tex]
Step By Step Explanation:
[ Step One ] Subtract 15 From Both Sides
[tex]\bold{2y+15-15=4y-45-15}[/tex]
[ Step Two ] Simplify
[tex]\bold{2y=4y-60}[/tex]
[ Step Three ] Subtract 4y From Both Sides
[tex]\bold{2y-4y=4y-60-4y}[/tex]
[ Step Four ] Simplify
[tex]\bold{-2y=-60}[/tex]
[ Step Five ] Divide Both Sides By -2
[tex]\bold{\frac{-2y}{-2}=\frac{-60}{-2}}[/tex]
[ Step Six ] Simplify
[tex]\bold{y=30}[/tex]
If some one could help with this it would be awesome!!
Check the picture below.
What’s the highest common factor of 120 and 75
Answer:
Find the prime factorization of 120
120 = 2 × 2 × 2 × 3 × 5
Find the prime factorization of 75
75 = 3 × 5 × 5
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 5
GCF = 15
I hope this helps! Please mark me as brainliest and have a nice day! (:
~abelxoconda
Step-by-step explanation:
⇒GCF OF 120: 2,2,2,3,5
⇒GCF OF 75: 3,5,5
⇒GCF: 3,5
Therefor, The Greatest Common Factor (GCF) is: 3×5=15
* Hopefully this helps, Mark me the brainliest:)
what is the value of x to the nearest tenth?
Answer: 11.6
Step-by-step explanation:
We know that a radius that is perpendicular to a chord divides the chord into two equal parts .
Then by Pythagoras theorem of right triangle ,we have
[tex](6.5)^2=3^2+(\dfrac{x}{2})^2\\\\\Rightarrow\ 42.25=9+\dfrac{x^2}{4}\\\\\Rightarrow\ \dfrac{x^2}{4}=33.25\\\\\Rightarrow\ x^2=134\\\\\Rightarrow\ x=\sqrt{134}=11.5758369028\approx11.6[/tex]
Hence,the value of x = 11.6
Another term for measurement data is
A) quantitative data.
B) categorical data.
C) qualitative data.
Eliminate
D) bivariate data.
Measurement data refers to numerical information gathered by quantifying objects or events, known as quantitative data. It contrasts with qualitative, or categorical data, which describes non-numeric attributes. Quantitative data can be further classified into discrete or continuous based on the nature of the measurement.
Explanation:The term measurement data refers to data that quantifies objects or events. This type of data can be classified as either quantitative discrete or quantitative continuous, depending on whether the data can take on only integer values or any values within a continuous range. Therefore, another term for measurement data is A) quantitative data. Quantitative data is always expressed in numbers and includes measurements such as length, mass, and time.
For example, measuring the height of a plant in centimeters yields quantitative data because it provides a numerical measurement of the plant's height. Similarly, recording the number of books a person reads in a month gives quantitative data because it counts the books. This contrasts with qualitative or categorical data, which describes attributes or characteristics that cannot be measured numerically, such as the colors of houses or types of pets.
In summary, measurement data is best described as quantitative data because it involves numerical measurements or counts, making it essential for mathematical analysis and supporting scientific findings.