Answers
Answer:
y = 0.5xStep-by-step explanation:
[tex]\dfrac{y}{x}=a\to y=ax\\\\\text{We have}\ x=1,\ y=0.5.\\\\\text{Substitute:}\\\\a=\dfrac{0.5}{1}=0.5\\\\\text{Therefore}\ y=0.5x[/tex]
Answer:
y = 0.5x
Step-by-step explanation:
x = 1; y = 0.5; 0,5 is [tex]\frac{1}{2}[/tex] of 1
1 * 0.5 would equal 0.5
So, y = 0.5x
Hope this helps :)
Related Questions
Rewrite using the
distributive property :
45 + 9
Answers
Answer: 9(5 + 1)
Step-by-step explanation:
Factor out the GCF (greatest common factor) of 45 and 9, which is 9.
[tex]9\bigg(\dfrac{45}{9}+\dfrac{9}{9}\bigg)\\\\\\=\large\boxed{9(5+1)}[/tex]
Help me please!! 30 points
Answers
Answer:
1. 0.03
2. 0.066
3. 0.20833
4. 0.42105263157
Step-by-step explanation:
1. Y=k•x
Y= 50•1.5
Y= 50•15/10
Y = 75
2. x=y/k
x= (3•3/4)/(1/4)
x= (15/4)• 4
x= (15•4)/4
x= 15
3. Y= k•x
Y= (1/2)•(2•4/5)
Y= (1/2)•(14/5)
Y= 14/10
Y=7/5
Y= 1.4
4. x= y/k
x= 38/16
x= 2.375
x=
Describe the location of the sum, relative to p, on a number line
P+(-2)
Answers
Answer:
The location of the sum is 2 units before P (left to P)
Step-by-step explanation:
* Lets describe the number line
- A number line is a horizontal straight line with numbers placed at
an equal units
- A number line can be extended infinitely to the left and to the right
- A number line represents both positive and negative integers
- The numbers come on it from left to right
- The negative numbers come on the left of zero and the positive
numbers come on the right of zero
- Ex: -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 part of the numbers on the
number line
- To add numbers on the number line we start from first number of
the addition and if this number is added by a positive number we
go to right , if the number is added by a negative number
we go to left
- Ex: 5 + 3 ⇒ go from 5 to the right 3 units, then your position is at 8
2 + (-3) ⇒ go from 2 to the left 3 units then your position is at -1
* Now lets solve the problem
- The sum of P + (-2)
∵ Your location is P
∵ You will add P by (-2)
- Negative number means you go to the left
∴ Your position will be before P by two units
∴ The location of the sum is 2 units before P (left to P)
The sum of p + (-2) will always be located to the left of p on a number line.
To describe the location of the sum P+(−2) on a number line, you would start at the point represented by
P and then move 2 units to the left.
This is because adding a negative number is equivalent to moving to the left on the number line.
For example, if P is located at the number 5 on the number line, then
P+(−2) would be located at 5−2=3.
So, the sum is 3 units to the left of the point P on the number line.
if you deposit a check for $43.95 and $12.39 in cash, what is the total deposit amount?
Answers
Answer:
$56.34
Step-by-step explanation:
The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?
The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.
The value of the comic book increased by a total of $0.04 between m = 36 and m = 60.
The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
The value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.
Answers
Answer:
C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
Step-by-step explanation:
The average rate of change for the function f(x) from [tex]x_1=a[/tex] and [tex]x_2=b[/tex] is
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
It is a measure of how much the function changed per unit, on average, over that interval.
Actually, this is the slope of the line passing through two points on the graph of the function.
If the average rate of change of the function f(x) between m = 36 and m = 60 is -0,04, it means that the value of the comic book decreased (because of negative number -0.04) by an average of $0.04 each month (a unit in this case is a month) between m = 36 and m = 60.
Answer:
C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
Step-by-step explanation:
4.5)38.7
What is the answer
Answers
Answer:
If adding, 43.2.
If subtracting, -34.2.
If multiplying, 174.15.
If dividing, 8.6.
Step-by-step explanation:
Addition: Line up and add.
Subtraction: Add the first number and opposite of the second. 4.5+(-38.7)=-34.2.
Multiplication: Multiply as normal, count up how many decimal places are in the factors (2), and add that to your answer, 174.15.
Division: Turn both number into whole numbers by multiplying by 10. Then divide 387/45= 8.6.
CAN EXPLAIN FURTHER
Four lines are drawn on a coordinate plan
trapezoid WXYZ
Answers
Answer:
Step-by-step explanation:
Given a trapezoid WXYZ. In a trapezoid one pair of opposite sides are parallel .Parallel lines have same slope.Slope of line parallel to x axis is 0.If the line starts at the bottom left and goes towards the top right it has negative slope.
All that is true for Trapezoid WXYZ are:
Line WZ has the same slope as line XY.
Line XW has a lesser slope than line YZ.
Line ZW has the same y-intercept as line WZ.
Line XY has a greater y-intercept
PLEASE HELP!!!
below is the graph of a system of two linear equations.
what system does it represent, and what is the solution of this system ?
Answers
Answer:
A
Step-by-step explanation:
You must first find a Y value and plug it into both equations and then plug the solution in then simplify to see if they equal each other or not. the one that equals to each other is the solution
20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by the function f(d) = 1.11√d. Part a: determine f(2) and explain what it represents. Part B: The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}. What does this tell you about the basin. Part C: how long would it take a rock to drop from the rim to the bottom of the basin?
Answers
Answer:
Part a) [tex]f(2)=1.57\ sec[/tex]
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) see the explanation
Part c) [tex]2,165.43\ sec[/tex]
Step-by-step explanation:
Let
f(d) -----> the time in seconds it takes for an object to fall
d -----> distance in feet
we have
[tex]f(d)=1.11\sqrt{d}[/tex]
Part a): Determine f(2) and explain what it represents
we know that
f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet
For [tex]d=2\ ft[/tex]
substitute in the function above and solve for f(2)
[tex]f(2)=1.11\sqrt{2}[/tex]
[tex]f(2)=1.57\ sec[/tex]
therefore
It takes 1.57 seconds for an object to fall a distance of 2 feet
Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}
What does this tell you about the basin?
The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft
so
The maximum height of the basin is 3,805,774 ft
Part c) How long would it take a rock to drop from the rim to the bottom of the basin?
we know that
The distance from the rim to the bottom of the basin is equal to the maximum height of the basin
so
[tex]d=3,805,774\ ft[/tex]
substitute the value of d in the function f(d)
[tex]f(d)=1.11\sqrt{3,805,774}[/tex]
[tex]f(d)=2,165.43\ sec[/tex]
The function f(d) = 1.11√d helps us find the time to fall a specific distance on the moon. It would take approximately 2 hours for a rock to fall from the highest point to the lowest point in the Imbrium Basin on the moon.
Explanation:The given function for time it takes for an object to fall on the moon is f(d) = 1.11√d. Here, d represents the distance the object falls.
Part A: To find f(2), we substitute d with 2 in the provided function, which gives us f(2) = 1.11√2 = 1.57 seconds (rounded to two decimal places). This represents the time it would take for an object to fall a distance of 2 feet on the moon.
Part B: The given domain {d|0 ≤ d ≤ 3805774} indicates the height variation in the Imbrium Basin on the moon, where 'd' represents the height in feet. The height could be any value between 0 feet (the lowest point) and 3805774 feet (the highest point), which is approximately 720 miles.
Part C: To find the time it would take for a rock to drop from the rim to the bottom of the basin in the given domain, we substitute the highest point, d = 3805774, into the function. So, f(3805774) = 1.11 √3805774 = 7317 seconds, which is approximately 2 hours.
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-n+(-4)-(-4n)+6
solve
Answers
Answer:
3n + 2
Step-by-step explanation:
-n+(-4)-(-4n)+6
= -n -4 +4n +6 [positive plus negative = negative; ∴ +(-4) = -4
=4n - n +6 - 4 negative plus negative = positive; ∴ -(-4n) = 4]
now subtract n from 4n and subtract 4 from 6
=3n + 2
Solve for x.
46
12x - 3
5x + 7
With draw angels
Answers
Answer:
12x-3=
Step-by-step explanation:
x=12+3
=15
=5×+7=
×=7-5
=2
5
To solve for x, one must understand the type of equation provided. Unfortunately, the original question does not provide clear context or an equation. Therefore, various methods such as algebraic manipulation, proportions, or the quadratic formula may be used to solve for x depending on the equation at hand.
Explanation:The information provided in the question seems fragmented and lacking context. To solve for x in algebra, one would typically rearrange the equation and isolate the variable x. Here are various ways that might be relevant:
For linear equations, you can divide or multiply both sides of the equation by a number to isolate x.
When dealing with proportions, like 12 inches/1 foot = x inches/3.5 feet, you would cross multiply to solve for x.
If given a quadratic equation such as ax² + bx + c = 0, you can use the quadratic formula to find the roots or solutions for x.
In cases where the provided information is insufficient, clarifying the original equation or context is essential to provide an accurate solution.
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Suppose Kaitlin places $6500 in an account that pays 12% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year ?
(b) Find the amount in the account at the end of 2 years.?
Answers
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}[/tex]
[tex]\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]
[tex]\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 2}\implies A=6500(1.12)^2\implies A=8153.6[/tex]
Berta wants to plant 1,224 trees in 8 equal rows. How many trees will go in each row?
Answers
Answer: 153 trees in each row
Step-by-step explanation:
You would divide 1,224 by 8 to get 153 trees in each row.
Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal line extends right from point S through point T. A third line extends right and up from point S through point U. Which is another way to name AngleUST? AngleTSR AngleTSU AngleUSR AngleUTS
Answers
Answer:
Angle TSU
Step-by-step explanation:
Two lines extend from point S to create a right angle TSR, where the vertical line extends from point S through point R and the horizontal line extends right from point S through point T.
A third line extends right and up from point S through point U (see attached diagram for details).
Consider angle UST. We can name angles by using three capital letters like: UST. The middle letter is called the vertex of the angle. In your case, the vertex is at S. Two consecutive letters shows the rays which form the angle. In your case, SU (ray from S to U) and ST (ray from S to T) form the angle. If we consider rays ST and SU, then we get angle name TSU.
The way to name angle UST is the angle TSU.
Two lines extend from point S to create a right angle TSR, when the vertical line extends from point S through point R and the horizontal line extends right from point S through point T.
What is the meaning of the angle?A corner whether constituting a projecting part of a partially enclosed space.
A third line extends right and up from point S through point U (see attached diagram for details).
Consider angle UST.
We can name angles by using three capital letters like: UST.
The vertex of the angle is the middle letter.
In this case, the vertex is at S.
Two consecutive letters show the rays which form the angle.
In case, SU and ST form the angle.
We consider rays ST and SU, So we get the angle name UST.
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Tickets to the country fair cost $8 for an adult and $5 for a child. If you have 15% discount card, how much will 2 adult tickets a d 2 child tickets cost?
Answers
Answer:
$22.10
Step-by-step explanation: Cost of tickets without discount $8×2+5×2=16+10=26
Cost with discount: 26× 100−15/100 = 26×85/100 = 2210/100 = 22.10.
Hope this helps :)
List 3 things that you should consider when choosing a career.
Answers
Answer:
1.)Will this career choice be a good fit for you?
2.)Does choosing a profession in this field require you to relocate?
3.)Will this profession pay you what you want or need to survive?
Step-by-step explanation:
Decision-making involves balancing the pros and cons of what you have been researching and experimenting with. Will this career choice be a good fit for you? Does choosing a profession in this field require you to relocate? Will this profession pay you what you want or need to survive? Honest answers to these questions will help you make the best decision. Also, consider when you plan to enter the industry. If it is a job that requires a lot of training or years of education, this time may be far in the future, so you need to be flexible with your plans and make allowances for changes as they come.
Answer: salary, education requirements, work/life balance
Step-by-step explanation: edge 2022
Solve the equation by finding square roots
9x^2-12x+4=-3
Answers
square root of 3, √3
g(x) = x-6
If the opposite of g(x) is -g(x),
then -g(x) =
Answers
Answer: The required expression for -g(x) is -x+6.
Step-by-step explanation: We are given the following function :
[tex]g(x)=x-6.[/tex]
Also, the opposite of g(x) is -g(x).
We are to find the expression for g(x).
According to the given information, we have
[tex]-g(x)\\\\=-(x-6)\\\\=-x+6.[/tex]
Thus, the required expression for -g(x) is -x+6.
*PICTURE ATTACHED* please help
Answers
Answer:
Step-by-step explanation:
10^0=1
10^-3 = 1/10^3
4.0=4
so : 1.72×10^0/4.0×10^-3 = (1.72× 10^3)/4 =430
scientific notation is : 4.30× 10^2
Translate the following phrase into an algebraic expression using the variable w. Do not simplify.
the perimeter of a rectangle if the width is w centimeters and the length is 8cm less than twice the width
Answers
Answer:
2 * ( [2w-8] + w)
Step-by-step explanation:
width = w
Length = 2w -8
Perimeter of Rectangle = 2 (l+b)
= 2 * ( [2w-8] + w)
The table shows the price of potatoes. The price varies directly with the weight in pounds.
Explain what the origin represents in this situation.
What is the unit rate for this direct variation? If the unit rate is less than one, put a zero to the left of the decimal point.
Answers
Answer:
The origin represents no potatoes, thus no money.
The variation is 0.99 per pound.
Step-by-step explanation:
If the price of 3 pounds is $2.97, that means each pound costs $0.99
So, the price of 4 pounds of potatoe, is 4 x $0.99 = $3.96
Same for 6 and 10:
6 x $0.99 = $5.94
10 x $0.99 = $9.90
So, the variation is $0.99 for pound of potatoe
Answer: The unit rate is $0.99.
and the origin represents no potatoes means no money i.e. (0,0).
Step-by-step explanation:
Since we have given the table.
Cost of 3 potatoes = $2.97
Cost of 4 potatoes = $3.96
Since there is direct variation.
So, unit rate would be
[tex]\dfrac{2.97}{3}=\dfrac{3.96}{4}=\$0.99[/tex]
Hence, the unit rate is $0.99.
and the origin represents no potatoes means no money i.e. (0,0).
I need help with my daughter math homework this is the question Angela counts 18 people in canoes on the lake. There are 2 people in each canoe. How many cameos are in the lake?
Answers
Answer:
there are 9 canoes on the lake
Step-by-step explanation:
divide 18 by 2
Answer:
10
Step-by-step explanation:
you must divide the number of all the people for the number of the people who can stay on tbe canoes (18:2=9) then ypu should add angela couse she didn't count herself (9+1=10)
The Kentucky Derby distance is
23 furlongs. How far is the Kentucky Derby in (a) rods? (b) fathoms?
Answers
Answer:
Part a) 920 rods
Part b) 2,530 fathoms
Step-by-step explanation:
we have that
The Kentucky Derby distance is 23 furlongs
Part a) How far is the Kentucky Derby in rods?
Remember that
[tex]1\ furlong= 40\ rods[/tex]
so
To convert furlongs to rods multiply by 40
[tex]23\ furlongs=23(40)=920\ rods[/tex]
Part b) How far is the Kentucky Derby in fathoms?
Remember that
[tex]1\ furlong= 110\ fathoms[/tex]
so
To convert furlongs to fathoms multiply by 110
[tex]23\ furlongs=23(110)=2,530\ fathoms[/tex]
state the x and y intercepts of 4x-3y=-12
im confused on how to find it can someone please help.
Answers
Answer: X intercept= (-3,0) Y intercept= (0,4)
Step-by-step explanation:
c(n)=−6+5(n−1) find the 8th term in the sequence
Answers
Answer:
Step-by-step explanation:
n = 8
c(n) = -6+5(n - 1)
c(8) = -6+5(8 - 1)
c(8) = -6+5( 7)
c(8) = -6+5(7)
c(8) = -6+35
c(8) = 29
============
Here is the series.
-6
-1
4
9
14
19
24
29
Name each quadrant these points are in
1.(3,-1)
2.(-2,3)
3.(4.5,-3)
4.(-6,2.3)
Answers
Answer:
(3,1),(-2,3),(4.5,-3),(-6,2.3)
Which best describes the number 7?
Write prime or composite.
Answers
Answer:
he number 7 is a prime number because it can't be divided by any other other number
Step-by-step explanation:
Answer: Prime
Step-by-step explanation: To find out if 7 is a prime or composite number, we can begin by finding the factors of 7.
7 ÷ 1 = 7
This means that 1 and 7 are factors. Notice however that 7 does not divide evenly between 2, 3, 4, 5, or 6. The only other number that 7 divides by evenly is 7. When we divided 7 by 7, we get 1. Notice however that 7 and 1 are repeat factors so we can stop. This means that the factors of 7 are 1 and 7. When a number only has 2 factors, it's called a prime number. Therefore, 7 is considered a prime number.
sammy's bucket holds 2,530 milliliters of water. Marie's bucket holds 2 liters 30 milliliters of water. Katie's bucket holds 2 liters 350 milliliters of water. Whose bucket holds the least amount of water.
Answers
After converting all volumes to the same unit (milliliters), we can compare them. Sammy's bucket holds 2,530 milliliters, Marie's bucket holds 2,030 milliliters, and Katie's bucket holds 2,350 milliliters. Therefore, Marie's bucket holds the least amount of water.
Explanation:To answer this question, we first need to convert all the volume measurements to the same unit. In this case, we'll convert everything to milliliters. We know that 1 liter equals 1000 milliliters. Therefore, Marie's bucket holds 2,030 milliliters (2 liters equal 2000 milliliters plus 30 milliliters), and Katie's bucket holds 2,350 milliliters (2 liters equal 2000 milliliters plus 350 milliliters).
Now that all the volumes are in the same units, we can compare them. Sammy's bucket holds 2,530 milliliters, Marie's bucket holds 2,030 milliliters, and Katie's bucket holds 2,350 milliliters.
From this comparison, we can see that Marie's bucket holds the least amount of water.
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6x + 5 = 27 , if x = 4
Answers
Answer: 0.93
Explanation: write out the problem and sub in 4, for "x". So it would look like this; 6 (4) + 5=27
6 (4)= 24, then add 5, which equals 29. so your next step would look like this; 29=27. Once you get this you want to divide each side by 29. The 29 cancels and 27/29 is equal to 0.93
Suri solved the equation x squared = 49 and found that x=7. What error did Suri make?
Answers
Answer:
x = [tex]\frac{+}{-}[/tex] 7
Step-by-step explanation:
[tex]x^{2}[/tex] = 49
[tex]\sqrt{49}[/tex] can equal 7 or -7
7 x 7 = 49. -7 x -7 = 49
Suri made the error of only finding one solution for the equation x squared = 49. The correct solutions are x = 7 and x = -7.
Explanation:Suri made an error when solving the equation x squared = 49 by only finding one value for x. In fact, there are two solutions to this equation, as the square root of 49 can be both positive and negative. So the correct solutions are x = 7 and x = -7.
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