perform the other of operation and simplify the answer 4 -9/7
Answers
To subtract a whole number by a fraction, let's first transform the whole number into a fraction with the same denominator as the fraction to be subtracted.
Given: 4 - 9/7
Step 1: Converting 4 into a fraction with the denominator of 7.
\(\text{ 4 x }\frac{7}{7}\text{ = }\frac{28}{7}\)Step 2: Let's now proceed with the subtraction.
\(\text{ 4 - }\frac{9}{7}\text{ }\rightarrow\text{ }\frac{28}{7}\text{ - }\frac{9}{7}\text{ }\rightarrow\text{ }\frac{28\text{ - 9}}{7}\text{ = }\frac{19}{7}\)Step 3: Let's convert 19/7 into a mixed number.
\(\frac{19}{7}\text{ = 2 }\frac{5}{7}\)Therefore, the answer is 19/7 or 2 5/7.
Related Questions
[I REALLY DON'T KNOW I NEED HELP PLEASE] Fill in the blank with the word dependent or independent. 1. The equation y = 6-x defines y as a function of x. The variable x is the variable, because you can choose any value for it. The variable, because it depends on variable y is called the x. Once you have chosen a value for x, the value of y is determined.
Answers
It is dependent. Without the function of the variable (X), we wouldn’t understand the value of Y.
Please answer this correctly
Answers
Answer:
1-20: Make it 1 unit tall
21-40: Make it 5 units tall
41-60: Make it 2 units tall
61-80: Make it 2 units tall
81-100: Make it 4 units tall
Step-by-step explanation:
1-20: 8 (1 number)
21-40: 22, 25, 31, 36, 38 (5 numbers)
41-60: 46, 50 (2 numbers)
61-80: 62, 69 (2 numbers)
81-100: 84, 84, 87, 90 (4 numbers)
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Are the ratios proportional?
10/12 and 20/32
Answers
Answer:
no they arent
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
10/12 can be simplified as 5/6 however 20/32 turns to 10/16 which then can be simplified to 5/8
Solve M=2r93 - 3rz for z.Z-(Use integers or fractions for any numbers in the expression)
Answers
1) Since we need to solve for z
Let g be the piecewise defined function shown.
g(x)=
x + 4, −5 ≤ x ≤ −1
2 − x, −1 < x ≤ 5
Evaluate g at different values in its domain.
g(−4) =
g(−2) =
g(0) =
g(3) =
g(4) =
Answers
Work is attached. Hope it helps!
The mug is 5/8 full, the mug contains 3/4 of water find the capacity of the mug
Answers
The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).
What is capacity?It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.
In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.
Let the capacity of the mug be x.
Given,
Mug is 5/8 full and contains 3/4 of water
So, 5/8 of the mug is filled with water
Therefore,
5/8 of x = 3/4
(5/8 )x = (3/4)
x = (3/4) × (8/5)
x = (24/20)
x = 1.2
Therefore, the capacity of the mug is 1.2.
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i really need help, can someone please help me with this math question
Answers
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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Which graph represents the function f(x) = 2x-1 +2
Answers
Answer: Graph A
Step-by-step explanation:
Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.
Question 4. Use the given information to write a linear equation in point-slope form: y-y1=m(x-x1).
slope m= 3, point:(5,10)
Answers
Answer:
y = 3 (x - 7)
But it can be written as
(y - 0) = 3 (x - 7)
comparing this equation with
we get
Therefore, Harold used the point (7, 0)
Step-by-step explanation:
Answer:
The linear equation in point-slope form is
y-10 = 3(x-5)
Step-by-step explanation:
Given
slope = m = 3point (5, 10)We know that the point-slope form of the line equation is
\(y-y_1=m\left(x-x_1\right)\)
where m is the slope and (x₁, y₁) is the point
substituting the values m = 3 and the point (5, 10)
y-10 = 3(x-5)
Thus, the linear equation in point-slope form is
y-10 = 3(x-5)In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
Answers
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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What the perimeter and the area of 15.5 cm by 12
Answers
Its 180cm^2
Hope this helps
Solve for v.
-73=4v-13v-19
Answers
\( - 73 = 4v - 13v - 19 \\ 9v = - 19+73 \\ 9v = 54 \\ v = \frac{54}{9} \\ v = 6\)
Help
look at the picture
Answers
\(x7 - 2 \: or \: x \leqslant - 3\)
I need help with this question please
Answers
The changes in Z would be = 6.1× 10^-4.
Calculation of the unknown valueZ = Sin (x³ +y³)
Where X = 0.3
y = 0.2
Z= Sin ( 0.3³ + 0.2³)
Z= Sin ( 0.027 + 0.008)
Z= Sin ( 0.035)
Z= 6.1× 10^-4
Therefore, the changes in Z would be = 6.1× 10^-4.
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Based on this relative frequency histogram, give the maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games. A player can only score a whole number of points in a basketball game. lower bound = upper bound =
Answers
The maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are:
Lower bound = 9.5
Upper bound = 30
What are the points scored in a basketball?In basketball, players can score 1, 2, 3 (or even 4 or 5 points) during a possession.
Players who score five points are fouled in the act of shooting a three-pointer and making the shot.
Players who score four points attempt a three-pointer and make the subsequent foul shot.
Players who score three points go beyond the 3-point line, in bounds.
Players who score two points go inside the 3-point line, in bounds.
Players who score one point make free throws.
Data and Calculations:Basketball scores = 1, 2, 3, 4, 5 points
Median = 3 per possession
Relative Frequency of Scores(ordered):9.5 10 12.5 15 15.5 18.5 20 21.5 25 26 30 30
Thus, the maximum lower bound and minimum upper bound for the median number of points the basketball player scored over his last 21 games are 9.5 and 30.
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Question Completion:Relative Frequency of Scores
30 30 26 25 20 15 10 9.5 12.5 15.5 18.5 21.5
use the box method to answer this question!! the picture is above incase you may need to look at it
Answers
Using the box method, we get 1.04 × 12.1 = 12.584.
What is Multiplication?Multiplication is the basic operation in mathematics which is defined as the repeated addition of a number or an expression to the times equal to the value of the other number or the expression.
Box method is an elaborate method for doing the operations.
We have 1.04 × 12.1 = 12.584 directly.
In box method, we split 1.04 as 1 and 0.04 and we split 12.1 as 12 and 0.1.
We draw a box with 4 squares as 2 squares of rows and 2 squares of columns.
Write on the top of the box 1 and 0.04 with respect to first and second column respectively.
Write 12 and 0.1 on the left corresponding to first and second row respectively.
Let A11, A12, A21 and A22 represent each squares of the box.
Then A11 = 1 × 12 = 12
A12 = 0.04 × 12 = 0.48
A21 = 1 × 0.1 = 0.1
A22 = 0.04 × 0.1 = 0.004
1.04 × 12.1 = A11 + A12 + A21 + A22
= 12 + 0.48 + 0.1 + 0.004
= 12.584
Hence using box method, we get 1.04 × 12.1 = 12.584.
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Ett nystartat mobiltelefonföretag har gjort en affärsplan som beskriver olika möjliga framtidsscenarier. Enligt den mest positiva modellen ska företaget ha 2000 kunder det första året och 70000 kunder sex år senare. Vilken årlig genomsnittlig procentuell ökning motsvarar detta?
Answers
Answer:I can't understand the language sorry...;(
Step-by-step explanation:
I'll translate it and try to help
Need the correct answers for this. Can you help me?
Answers
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
To determine the correctness of the statements and calculate the lengths and slopes of the given quadrilateral PQRS, let's perform a coordinate proof.
Length and slope of PQ:
The coordinates of points P and Q are P(0, 2) and Q(3, -4), respectively.
Length of PQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of PQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of PQ is approximately 3√5, and its slope is -2.
Length and slope of SR:
The coordinates of points S and R are S(-2, 1) and R(1, -5), respectively.
Length of SR: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(1 - (-2))² + (-5 - 1)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of SR: (y₂ - y₁) / (x₂ - x₁)
= (-5 - 1) / (1 - (-2))
= -6 / 3
= -2
Therefore, the length of SR is approximately 3√5, and its slope is -2.
Length and slope of SP:
The coordinates of points S and P are S(-2, 1) and P(0, 2), respectively.
Length of SP: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(0 - (-2))² + (2 - 1)²]
= √[4 + 1]
= √5
Slope of SP: (y₂ - y₁) / (x₂ - x₁)
= (2 - 1) / (0 - (-2))
= 1 / 2
Therefore, the length of SP is √5, and its slope is 1/2.
Length and slope of HQ:
The coordinates of points H and Q are H(0, 2) and Q(3, -4), respectively.
Length of HQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of HQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of HQ is approximately 3√5, and its slope is -2.
Based on the calculations, we can conclude that both statements are correct:
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
The quadrilateral PQRS is not a rectangle since the lengths of the adjacent sides PQ and SP are not equal.
Summary:
Length of PQ is approximately 3√5, and its slope is -2.
Length of SR is approximately 3√5, and its slope is -2.
Length of SP is √5, and its slope is 1/2.
Length of HQ is approximately 3√5, and its slope is -2.
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Can someone please tell me if this is a function and also provide a easy explanation on how it is the answer? (30 pts)
Answers
The relationship in the figure is a function because each input has only one output to which they are linked
What is a function?A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.
The data in the sets can be presented as follows;
x \({}\) f(x)
-1 \({}\) → 2
0\({}\) → 2
1\({}\) → -3
2\({}\) → -2
8\({}\) → 3
The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.
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Just give answers in order please :)
Answers
Answer:
A) J, l
B) line HK
C) point K
D) m or n
Step-by-step explanation:
Which of the following sets of numbers is a Pythagorean triple?
42, 40, 82
42, 40, 58
41, 41, 58
40, 41, 57
HELP QUICK PLEEZ
Answers
Answer:
42,40,58
Step-by-step explanation:
Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
Answers
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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What is the slope of
y = -5x + 14
Answers
Answer:
0
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
y=-5x+14 is in the form of y=mx+b.
m is the slope and b is the y-intercept.
So m = -5 and -5 is the slope
The step function f(x) is graphed.
What is the value of f(0)?
• -2
• -1
• 0
• 1
Answers
The value of f(0) of the given step function is; -2
How to interpret the graph of a step function?A step function (also called as staircase function) is defined as a piecewise constant function, that has only a finite number of pieces.
Now, from the given step function graph, we can see that at f(0), the output is less than or equal to -2 but greater than -1.
Thus, we can conclude that the output will be the maximum which is -2
This is because the shaded dot indicates greater than or equal to or less than or equal to. Meanwhile, the unshaded dot indicates less than or greater than.
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In AABC, AB=8, BC=10, and AC=12. Let M, N, and K be the midpoints of the sides of AABC. Find length of each side of AMNK.
Answers
Answer:
4,5,6
Step-by-step explanation:
A midsegment connects two midpoints, and this triangle would be made up of all midsegments. If we know that midsegments are half of the side length, then we can get our answer.
ind the slope of each line.
1)
Answers
Answer:
the slope of this line is 2/2
Step-by-step explanation:
because the formula for slope is y=mx+b
m= slope of a line
+b= y-intercept.
slope= change in y/change in x
the equation is y=1x+2
i hope this helps :)
Two pools are being drained. To start, the first pool had 3650 liters of water and the second pool had 4166 liters of water. Water is being drained from the first pool at a rate of 27 liters per minute. Water is being drained from the second pool at a rate of 39 liters per minute. Let be the number of minutes water has been drained. (a) For each pool, write an expression for the amount of water in the pool after minutes. (b) Write an equation to show when the two pools would have the same amount of water.
Answers
Step-by-step explanation:
(a) Let's start with the first pool. It has 3650 liters of water. For every minute, 27 liters are being drained. Thus, we can write its equation as 3650 liters - 27 liters per minute = end amount of liters. If we write minutes as m, we can say 3650-27m is our expression. Similarly, for the second one, we have 4166-39m as our answer
(b) For this, we just have to make the two expressions equal, so
4166-39m = 3650-27m
The solution is:
(a)
Amount of water in the first pool (in liters) = 3650 liters - 27 liters per minute * x minutes
Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes
(b)
3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have,
(a) With x being the minutes after which you want to calculate the amount of water in the pool, to calculate this amount of water you must subtract the water drained from the initial amount of water that the pool contains.
Knowing that, for example, the water from the first pool drains at a rate of 27 liters per minute, then after x minutes, the total water drained will be 27 liters per minute * x minutes. Then:
Amount of water in the first pool (in liters) = 3650 liters - 27 liters per minute * x minutes
Reasoning in the same way:
Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes
(b) Now want to know when the two pools would have the same amount of water. If they have the same amount of water then you can express:
Amount of water in the first pool = Amount of water in the second pool
Replacing the expressions found in (a):
3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes
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Fill in the table using this function rule y= - 2x + 3
Answers
Step-by-step explanation:
you just have to put that value in place of x in the function.
don't be so lazy you a hole do it yourself
A group of Tibetan monks created a sand mandala at an art museum. The mandala was in the
shape of a circle with a radius of 1.5 ft.
Answers
Answer:
7.065 ft
Step-by-step explanation:
1. apply the formula for a circle
A = πr²
2. substitute 1.5 for r
A = π * 1.5²
3. find the area
A= 3.14 * 2.25
A = 7.065 ft