The student's original number was 1 3/45. This was obtained by reversing the processes described in the problem and applying them to the final number.
Explanation:
To solve this problem, we basically need to reverse the operations given in the problem and perform them on the final answer 1 5/6. Let's start:
Add 7/18 to 1 5/6. The sum is 2. Multiply 2 by 1 1/5. The product is 2 2/5. Finally, divide 2 2/5 by 2 1/2. The quotient, which is the number the student originally thought of, is 48/45 or 1 3/45.
So the student's original number was 1 3/45.
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Esin started a T-shirt-printing business. She spent $2500 to purchase supplies to get started and she uses about $4.50 worth of supplies per T-shirt printed. Esin charges $25 for each T-shirt. Let s represent the number of T-shirts.
What is the minimum number of T-shirts Esin will need to sell to make a profit?
4.5s≥2500+25s
4.5s>2500+25s
25s<2500+4.5s
25s>2500+4.5s
You’ve written your first novel and, like many first-time authors, can’t find a publisher. So you’ve decided to self-publish your book. You need to work out the cost of printing the book. If the cost of printing the novel includes a base cost of $1,550 plus $4 per book, write a function that represents the cost of printing x copies of the book. Type your response here: If you want to cover the printing costs by printing and selling only 50 copies of the book, at what price must you sell the book?
Write a real world problem for the two step equation 8b+6=38
Do numbers need to be listed in order when determining the arithmetic mean
Which is the correct label of the parallel lines? parallel lines a and b are shown. points a and b lie on line a while points c and d lie on line
b?
The parallel lines mentioned in the question are correctly labeled as 'AB' for Line a (which involves points A and B) and 'CD' for Line b (which refers to points C and D).
Explanation:In geometry, parallel lines are often labeled with the same letter. In your case, the parallel lines are described as Line a and Line b. Points A and B lie on Line a, and Points C and D lie on Line b. Therefore, to correctly label the lines, 'Line a' is written as 'AB' since points A and B are on this line. Meanwhile, 'Line b' is labeled as 'CD' since points C and D are on that line.
So, in conclusion, the correct labels for the mentioned parallel lines are AB for 'Line a' and CD for 'Line b'.
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Sari has 3 times as many pencil erasers asSam. Together they have 28 erasers. How many erasers does Sari have?
3x +x = 28
4x = 28
x = 28/4 = 7
7x3 = 21
Sari has 21 erasers
A forest owned by the Jumbo Lumber Corporation contains 7,054 trees. If Jumbo Lumber cuts down 37 trees every day, which function can be used to find the number of trees, n, left in the forest after t days?
Answer:
n(t)= 7,054 - 37t
Step-by-step explanation:
Which of the following products represents 6 1/2% tax, in dollars, on a price of $14.29? a. (0.00675)(14.29) b. (0.0675)(14.29) c. (0.675)(14.29) d. (6.75)(14.29)
Answer:
B
Step-by-step explanation:
6 3/4% tax
Write an addition equation with a positive addend and negative addend and a resulting sum of -8
if y =6.6 when x=9.9, find y when x=6.6
The coordinates of point t are (0,4). the midpoint of st is (3,−2). find the coordinates of point s.
what is 0.698 rounded to the nearest hundreath
Question 2 options:
All questions are about this system of equations:
{5x +18y =23
x +3y = 2
When you multiply the second equation by this number, what does it become?
If you work 52 weeks out of the year and 40 hours a week how many hours would you work in one year
Find the exact value for cos π 12 applying sum and difference formulas involving π 3 and π 4 .
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
(√2+√6) / 4
Cube root of 0.000064
What is the simplified answer for -2/3+4/3
-2 + 4 = 2
so:
-2/3 + 4/3 = 2/3
Plz help with my gasoline question that I just put its due tomorrow!!?? it's number 7
Which equation is NOT an example of a linear function? A) y = 9 - 2x B) y = 6/x C) y = x/2 + 9 D) y = 5/6 x - 8
HELP PLZ 20 POINTS RIGHT ANSWERS ONLY :
Polygons LMNO and L'M'N'O' are shown on the following coordinate grid:
What set of transformations is performed on LMNO to form L'M'N'O'?
Answer:
A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Step-by-step explanation:
i got it right on my exam
Find the value of x or y so that the line through the points has the given slope of (x, -8) and (-7,5); slope: -13/7
The required value of x is 112/13 which line through the points has the given slope of (x, -8) and (-7,5).
What is the slope of the line?The slope of the line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Assume two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
We have been given two points :(x, -8) and (-7,5)
As per the line of slope,
m = (y₂ - y₁)/(x₂ -x₁ )
Here
x₁ = x, y₁ = 8
x₂ = -7, y₂ = 5
Substitute values in the above formula
-13/7 = (5 - 8)/(-7 - x )
-13/7 = -3/(-7 - x )
-13(-7 - x ) = -21
91 + 13x = -21
13x = -21 - 91
13x = 112
x = 112/13
Therefore, the required value of x is 112/13.
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Find the standard form of the equation of the circle with endpoints of a diameter at the points
What is the next term in the sequence? 44, 22, 11, 5.5...
What is the measure of angle x, In degrees?
Helps please!!
Answer:
40° is the right answer for apex learners
The sum of a number times 5 and 28 is less than 29
Use the variable b for the missing number
Relationship a has a greater rate than relationship
b. this table represents relationship
b. hours worked 2 4 5 8 amount paid 30.40 60.80 76 121.60 which equation could represent relationship a? select each correct answer. y = 14.9x y = 16.4x y = 15.4x y = 15.2x
The required equation is y = 15.2x which could represent relationship A.
which is the correct answer would be an option (B).
What is a Linear Function?A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.
We have been given that relationship A has a greater rate than relationship B.
Hours Worked Amount Paid
2 30.4
4 60.8
5 76
8 121.60
Let the number of hours worked x and the total amount paid y.
As per the given functions
⇒ y = 15.4x ...(i)
⇒ y = 15.2x ...(ii)
⇒ y = 16.4x ...(iii)
⇒ y = 14.9x ...(iv)
As per the linear function (ii),
⇒ y = 15.2×2
⇒ y = 30.4
The above is satisfy the point, therefore, it represents relationship A
Hence, the required equation is y = 15.2x which could represent relationship A.
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A games console costs £100
The cost is increased by 20%
The new cost is decreased by 20%
Which of the following is true?
[1 mark]
- The final cost of the console is less than the original cost
- The final cost of the console is the same as the original cost
- The final cost of the console is more than the original cost
Find the limit of the function algebraically. limit as x approaches zero of quantity negative six plus x divided by x to the fourth power.
The limit as x approaches zero of the function (-6 + x)/x^4 is 0. This is arrived at using L'Hopital's Rule, which instructs us to take the limits of the derivatives of the numerator and denominator when the initial function limit causes an indeterminate form (0/0, infinity/infinity).
Explanation:The limit of the function negative six plus x divided by x to the fourth power as x approaches zero cannot be solved using traditional limit computations as it creates indeterminate form. However, the L'Hôpital's rule
Rule can be used to determine this limit.
Under L'Hôpital's rule
rule, to solve for the limit of a function that results in an indeterminate form 0/0 or infinity/infinity, you take the derivative of the numerator and the derivative of the denominator independently, and then find the limit of that quotient as x approaches the given value.
In this case, the function is (-6+x)/x4. The derivative of -6+x is 1 and the derivative of x4 is 4x3. Therefore, after the first iteration of L'Hopital's rule, you are finding the limit as x approaches zero of 1/(4x3). Running the rule again we get 0/(12x2). Clearly there, the numerator is 0 and since x2 will be a non-negative number the limit would be 0. Hence, the limit of the function as x approaches zero is 0.
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write the equation of a line that is perpendicular to y=3z-2 and that passes through the point (-9,5)
A friend eats eats one-fifth of a pizza; you decide to eat half of what was left. How much is left after you eat the pizza?
it would be 2/5 since 1/5 is subtracted from your friend, and you are eating half which would be 2/5 since you have 4/5 now and 2/5 = half of 4/5. (Fun Fact: I cant even eat half a pizza).