Answer:
The inverse is 5/2(x-1) +2
Step-by-step explanation:
f(x) = 2/5(x-2)+1
Rewriting
y = 2/5(x-2)+1
Exchange x and y
x = 2/5(y-2)+1
Solve for y
Subtract 1 from each side
x-1 = 2/5(y-2)+1-1
x-1 = 2/5(y-2)
Multiply each side by 5/2
5/2(x-1) = 5/2 (2/5)(y-2)
5/2(x-1) = (y-2)
Add 2 to each side
5/2(x-1) +2 = y-2+2
5/2(x-1) +2 = y
The inverse is 5/2(x-1) +2
WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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The maroon team and the orange team played a game of football. The maroon team scored 20 points and the orange team scored 6 points. What is the ratio of points scored by the maroon team to points scored by the orange team?
Answer:
20/6 or 10/3
Step-by-step explanation:
James recycled 22 1/2 pounds of aluminum in one week. Matt recycled 18 3/7 pounds of aluminum the same week. How many more pounds of aluminum did James recycle? Private
Answer:
The answer is 22 1/2-18 3/7. first we need to get a common denominator for the fractions. I will do 14. Now we have 22 7/14-18 6/14=4 1/14 ez
Step-by-step explanation:
An airplane travels 4466 kilometers against the wind in 7 hours and 5866 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind? Note that the ALEKS graphing calculator can be used to make computations easier. Rate of the plane in still air: Rate of the wind: km h km h 010 S
The Rate of plane in still air and rate of wind is 738 , 100 respectively .
What is Linear equation ?
Linear equation can be defined as the equation in which the highest degree is one
Given ,
An airplane travels 4466 kilometers against the wind in 7 hours and 5866 kilometers with the wind in the same amount of time.
Let speed of plane be Vp and Va
Now,
Vp - Va = 4466 / 7
Vp+Va = 5866 / 7
So, Evaluating the equations,
we get,
2Vp = (4466+5866) / 7
Vp = 1476 / 2
Vp = 738
So substitute Vp =738 in Vp-Va = 4466/7
738 - Va = 638
Va = 738 - 638
Va = 100.
Hence, The Rate of plane in still air and rate of wind is 738 , 100 respectively .
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44.5 divided by 42.2
How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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A pipe has a diameter of 2.5 inches. Insulation that is 0.5 inch thick is placed around the pipe. What is the diameter of the pipe with the insulation around it?
Answer:
So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.
Step-by-step explanation:
To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:
C = 2 * π * r
Where:
· C = circumference of the pipe
· π = the mathematical constant approximately equal to 3.14
· r = the radius of the pipe
Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:
r = 2.5 inches + 0.5 inch = 3 inches
Plugging in the values:
C = 2 * π * 3
C = 6.28 * 3
C = 18.84 inches
Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.
Jeremiah wanted to create step-function that increases more gradually than the greatest integer function, f (r) IlrIl: He decided that the function g(=) [Iellwould work Help Jeremiah by filling in the missing data below; then determine if he was right or wrong that glx) increases more gradually than flx): flx) g(x) 0.51 1.5/1 2.5 3.513 Jeremiah was right to say that g(r) increases more gradually than f()
Since g(x) increases less frequently than f(x), Jeremiah is correct in saying that g(x) increases more gradually than f(x).
It seems like some of the numbers in the table are cut off. Nevertheless, we can determine if Jeremiah was correct in saying that g(x) increases more gradually than f(x).
From the given information, we know that f(x) = IlxIl (the greatest integer function). This function increases by 1 whenever x crosses an integer value.
Jeremiah's function is g(x) = [x] (the floor function), which is the greatest integer less than or equal to x. This function increases by 1 only when x is an integer.
Since g(x) increases less frequently than f(x), Jeremiah is correct in saying that g(x) increases more gradually than f(x).
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These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x= 7 to x = 8?
X
0
1
23
4
5
6
y
-1
-2
-5
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
679
-11
3-2
0-2
0-2
0-2
3-2
d
The average rate of change for the interval from x = 7 to x = 8 is 35.
To calculate the average rate of change for the interval from x = 7 to x = 8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.
Let's calculate it step by step using the given table
For the interval from x = 7 to x = 8 x1 = 7, y1 = -37 x2 = 8, y2 = -2 Difference in y- values Δy = y2- y1 = -2-(- 37) = 35
Difference inx-values Δx = x2- x1 = 8- 7 = 1
Average rate of change = Δy/ Δx = 35/ 1 = 35
Thus, the average rate of change for the interval from x = 7 to x = 8 is 35. Note: It's important to mention that the values calculated then are grounded solely on the given data. Please insure you corroborate the delicacy of the handed data and environment before using the answer in any important or critical operations.
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Connor is 4 2/3 feet tall. How many inches is that?
Answer:
hes
56 inches
hope it helps
A recipe for 1 batch of cookies calls for 4 2/3 cups of walnuts . Damian wants to make 1 1/4 of a batch. How many cups of walnuts does he need?
let's firstly convert the mixed fractions to improper fractions and then proceed.
\(\stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\)
\(\begin{array}{ccll} batches&cups\\ \cline{1-2} 1&\frac{14}{3}\\[1em] \frac{5}{4}&x \end{array}\implies \cfrac{1}{~~ \frac{5}{4}~~}=\cfrac{~~ \frac{14}{3}~~}{x}\implies \cfrac{\frac{1}{1}}{~~ \frac{5}{4}~~}=\cfrac{~~ \frac{14}{3}~~}{\frac{x}{1}}\implies \cfrac{1}{1}\cdot \cfrac{4}{5}=\cfrac{14}{3}\cdot \cfrac{1}{x} \\\\\\ \cfrac{4}{5}=\cfrac{14}{3x}\implies 12x=70\implies x=\cfrac{70}{12}\implies x=\cfrac{35}{6}\implies x=5\frac{5}{6}\)
95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
PLZZZ HELP!!!!!!!!!1
What is the median and Q1 of the data set represented on the plot?
Median = 30; Q1 = 20
Median = 33; Q1 = 20
Median = 30; Q1 = 25
Median = 33; Q1 = 25
Answer:
i cant put the picture
Step-by-step explanation:
d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median
ignore text just answer ty <3
what is X please help 5x - 13.75 = 20
Answer:
X= 1.25
13.75 + 5= 18.75
20 - 18.75= 1.25 OR 1.25 + 18.75 = 20
Step-by-step explanation:
What is 300+400.
I want to see how smart you are can you do this mentally????
Answer:
700
Step-by-step explanation:
Since 3 + 4 = 7, then 300 + 400 = 700
Answer: 700
Step-by-step explanation:
300+400
700
easier way to do it in your brain is
4+3 is 7 and add the 2 zeros
so the answer is 700
Hope this helps :)
A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?
Answer: 4
This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.
4/5 ÷ 1/5
Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:
4/5 x 5
To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.
You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.
Hope this helps!
PLS HELP QUICKLY!!!!!!!!!!
Answer:
6.300
Step-by-step explanation:
Answer: What is "A" rounded to the nearest thousandth? answer: 6.340
What is "A" rounded to the nearest hundredth? Answer: 6.300
Step-by-step explanation: When you look to the right of the number place you are rounding, then it will tell you whether to round up or down, if it 4 or lower, then you round down by one digit, if it is 5 or higher, then you round up. Add any zeros if necessary.
Hope this helps, I'm doing math too, just taking a break to help someone else out.
Wiyot is earning money for a longboard by selling lemonade at the soccer fields. Being a precocious and poorly-supervised 12 year old, Wiyot has no transportation and decides to use water from a nearby river.
Business is booming! He sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up. How many TOTAL cups of giardia-laced lemonade will Wiyot have sold by the time his parents get a call from county health officials on day 8?
________
The cups of giardia-laced lemonade that Wiyot will have sold by the time his parents get a call from county health officials on day 8 is 75 cups.
How to calculate the value?From the information, Wiyot sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up.
This is an arithmetic sequence and will be expressed as:
= a + (n - 1)d
a = first term = 33
d = common difference = 6
n = 8
This will be:
= a + (n - 1)d
= 33 + (8 - 1)6
= 33 + (7 × 6)
= 33 + 42
= 75
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Which expression is equivalent to pq
Answer:
D
Step-by-step explanation:
Mark Brainliest
The area of a rectangular wall of a barn is 119 square feet. its length is 10 feet longer than the width find the length and the width. Find the length and width of wall of the barn
The length of the rectangular wall of a barn is 7 and the width is 17 feet
Area of the rectangular wall of a barn = 119 square feet
Length of the wall of the barn = width of barn + 10 feet
Let the width of the wall of the barn be x feet
So, the length of the wall of the barn will be x + 10 feet
The area of the rectangular wall of the barn is given by:
Area of the rectangular wall of the barn = Length of the barn * Width of the barn
119 = x*(x+10)
119 = x^2 +10x
0 = x^2 +10x - 119
Using splitting the middle term method
0 = x^2 + 17x - 7x - 119
0 = x(x + 17) - 7(x + 17)
x = 17 or 7.
Since the width is 10 feet more than the length
Therefore, the length of the rectangular wall of a barn is 7 and the width is 17 feet
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Need help on please
Answer:
12
Step-by-step explanation:
The figure is a right triangle with hypotenuse = QS
The base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)
The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)
Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides
QS² = 3² + 4² = 9 + 16 = 25
QS, the hypotenuse = √25 = 5
The perimeter = sum of the sides = 3 + 4 + 5 = 12 units
2x+12=28
help me pls
help me find x its a single number
Answer:
2x + 12 = 28
2x = 28 - 12
2x = 16
x = 16 / 2
x = 8
2 X + 12 = 28
2x = 28 - 12
2x = 16
x =16 upon 2
x =8
5. A bag contains 21 red marbles and 29 blue marbles. A marble is picked at
random from the bag. What is the probability of picking a red marble?
Answer:
i dont know
Step-by-step explanation:
uhhh
Answer:
42% chance
Step-by-step explanation:
Since there are 21 red marbles and 29 blues ones, the total amount of marbles is 50. There are only 21 red marbles out of 50 marbles so there is a 21/50 chance that you will pick a red marble.
Find the horizontal asymptotes: y=2x^2/3x^3 You must show your work and enter your answer below.
Answer:
y = 0
Step-by-step explanation:
You want the horizontal asymptote of y=2x^2/3x^3.
Horizontal asymptoteDegree of numerator: 2
Degree of denominator: 3
When the degree of the denominator (3) is greater than the degree of the numerator (2), the horizontal asymptote is ...
y = 0
__
Additional comment
This reduces to (2/3)(1/x). The value of 1/x approaches zero when the magnitude of x gets large.
<95141404393>
Find the slope and y intercept of each line.
Answer: y=x+1
Step-by-step explanation:
C u m s t e r g o i n t r e b a r e de pe b r a i n l y?
Answer:rf JAMES CHARLE's?!?
Step-by-step explanation:
Evaluate the expression 23.5 − 6.8x when x = 3.
Answer:
3.1
Step-by-step explanation:
23.5-6.8x
x=3
first put 3 in for x
23.5-6.8(3)
now solve the expression
23.5-20.4
3.1
Question 20. Describe the graph of the following equation.
Answer:
Step-by-step explanation:
Decreasing left to the right
horizontal line
increasing left to the right
Vertical line
Decreasing left to the right
Which expression is equivalent to z+z+z+z+3?
A. 7z
B. 4z + 3
C. 3z +4
D. z3
Answer:
4z+3
Step-by-step explanation:
multiply the z's giving four z's and we don't know the value of z so we can't add 3 to it