whst will be the multiplicative inverse of
3/5 - 4/27 + 5/18
Answer:


Find the multiplicative inverse of the following
(i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × -3/7 (v) -1 × -2/5
(vi) -1
Solution:
The reciprocal of a given rational number is known as its multiplicative inverse. The product of a rational number and its multiplicative inverse is 1.
(i) The Multiplicative inverse of -13 is -1/13
∵ -13 × (-1/13) = 1
(ii) The Multiplicative inverse of -13/19 is -19/13
∵ -13/19 × (-19/13) = 1
(iii) The Multiplicative inverse of 1/5 is 5
∵ 1/5 × 5 = 1
(iv) The Multiplicative inverse of -5/8 × -3/7 is 56/15
∵ -5/8 × (-3/7) = 15/56 and 15/56 × 56/15 = 1
(v) The Multiplicative inverse of -1 × -2/5 is 5/2
∵ -1 × (-2/5) = 2/5 and 2/5 × 5/2 = 1
(vi) The Multiplicative inverse of -1 is -1
∵ -1 × (-1) = 1
What is the meaning of selling price?
Answer:
noun. Britannica Dictionary definition of SELLING PRICE. [singular] : the price for which something actually sells. They asked $200,000 for the house, but the eventual selling price was $175,000.
The US government spent
$2500 billion. If 21% was
spent for Social Security, how
much was that
Answer:
If your number was 250,000,000,000
The amount of social security would be 52,000,000,000
Step-by-step explanation:
What inequality is shown by a number line that shows 12 to the right of −2?
The inequality shown by a number line which describes that 12 is to the right of -2 is; 12 > -2.
What inequality is shown by the number line that shows that 12 is to the right of 2?It follows from the task content that the inequality which represents the number line as described in the task content is to be determined
On this note, it follows that since, numbers are arranged from left to right in increasing order on the number line, then;
Since 12 is to the right of -2, the inequality which represents the situation is; 12 > -2.
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Find the area of AXYZ. (Hint: Draw a rectangle whose sides contain points X, Y, and Z.)
Ay
Y
-4
X
-2
Area: I
4
2
-2
N
2
square units
4 x
So
The area of triangle XYZ is of 13.3 units².
What is the missing information?The missing information are the vertices of the triangle, given as follows:
X(-3,2).Z(1,-1).Y(3,4).What is the area of a triangle?The area of a triangle is given by half the base multiplied by the height, that is:
A = 0.5bh
For this problem, the have that the base is the length of segment XZ, which is found applying the distance between two points as follows:
[tex]b = \sqrt{(1 + 3)^2+(-1 - 2)^2}[/tex]
b = sqrt(25)
b = 5.
The height is the distance between the midpoint of XZ and Y. The midpoint of XZ(mean of the coordinates) is (-1, 0.5), hence the height is:
[tex]h = \sqrt{(-1 - 3)^2+(4 - 0.5)^2}[/tex]
h = sqrt(4² + 3.5²)
h = 5.32.
Thus the area of the triangle is given by:
A = 0.5 x 5 x 5.32 = 13.3 units².
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Anais bought 5/2 yards of ribbon. She had 1 feet 6 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?
Answer: The number of ribbons used to trim the Curtains are 72 inches.
Step-by-step explanation:
Let us convert all numbers into inches.
Then, 1 yard= 36 inches
Given data, 5/2yards
So, 5/2 yards means.,
5/2= 2.5 yards
We can write: 2.5yards=2.5x36inches
=90inches
We convert feet into inches
1feet=12inches
We consider 1feet=12inches
In this question she had 1feet 6 inches of ribbons left.
Then 1x12=12inches
More 6 inches: 12+6=18inches
Now subtract 18 inches from 90 inches to get the inches used to trim curtains
Then, 90inches-18inches=72 inches
Thus, the number of ribbons used to trim the Curtains are 72 inches.
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This is a conversion graph between litres and gallons. Use the graph to convert 60 gallons to litres
Disclaimer: The conversion graph is missing in the question.
60 gallons is equal to 227.125 litres.
Refer to the attached image for the conversion of litres to gallons.
And gallons to litres.
In this image, a vertical line is drawn from the given value of gallon until it meets the cross line. And then a horizontal line is drawn, which touches the litres line.
At the point at which this horizontal line touches the litres line, that value is considered as the corresponding litres for the given gallons.
Similarly, a vertical line is drawn from the litres line until it meets the cross line. And then a vertical line is drawn, which touches the gallons line.
At the point at which this vertical line touches the gallons line, that value is considered as the corresponding gallons for the given litres.
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A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 7.5%, and the tax in the second city was 5.5%. The total hotel tax paid for the two cities was $700. How much was the hotel charge in each city before tax?
The hotel charge in city one is $767 and the hotel charge in city two is $2276.
Let x = the charge in 1st city before taxes and
Let y = the charge in 2nd city before taxes
The equation before taxes:
y = x ₊ 1500 ..eq(1)
The equation for total tax paid:
0.075x ₊ 0.055y = 700 ..eq(2)
Substitute equation 1 that is y value in equation 2.
0.075x ₊ 0.055(x₊1500) = 700
0.075x ₊ 0.055x ₊ 82.5 = 700
add the variables and subtract the constants.
0.805x = 700 ₋ 82.5
0.805x = 617.5
x = 617.5/0.805
x = 767
now substitute x value in equation 1.
y = 767 ₊ 1500
y = 2267
Hence the hotel charge before the tax in the first city was $767 and in the second city was $2267.
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Make x the subject of this formula: c = 7x - hx
Answer:
x = c / (7 - h)
Step-by-step explanation:
c = 7x - hx
c = x(7 - h)
x = c / (7 - h)
determine whether the graph is a fraction
Answer:
no, in a function x can not repeat so points (2,-1) and (2,-2) makes it wrong bc 2 is your x
Laura is completing a 15-week exercise program where she increases the amount of time she works out by the same amount. She exercised 20 minutes per day the third week, 50 minutes per day the ninth week, and 60 minutes per day the eleventh week.
What is the function that represents the sequence?
The logical function that represents the amount of workout Laura does in each week along with her simultaneous increase in workout can be given by Arithmetic Progression.
It is represented as An = A + (n-1)d. Here, A represents the first term, or the amount of workout done in first week, d represents common difference or the difference in workout done in next week to its previous week, n represents the number of terms or the number of weeks for which data is to be calculated and An represents the workout done in nth week.
Arithmetic progression refers to the sequence of numbers such that each succeeding number increases with respect to previous number by fixed/ constant value. Thus, there exists constant amount of difference between each consecutive pair of number.
Since, Laura's workout pattern varies such that the amount of workout she does in one week increases by same amount in next week, so we get an arithmetic progression of her workout pattern.
Hence, her workout pattern can be traced as A, A+d, A+2d, A+3A, ..., An.
Thus, An = A + [(n-1)*d]
A3 = A +[(3-1)*d] = A + [2d] = 20 ...(1)
A9 = A +[(9-1)*d] = A + [8d] = 50 ...(2)
A11 = A +[(11-1)*d] = A + [10d] = 60 ...(3)
Solving equation (1) and (2), we get d = 5 and A = 10.
Thus, we conclude by saying that the function of her exercise routine is given by arithmetic progression and the amount of workout that she increases each week is given by 'd' that is 5 minutes.
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In an election of a municipality two candidates A and B stood for the post of Mayor and 25000 people were in the voter list. Voters were supposed to cast the vote for a single candidate. 12000 people cast vote for A, 10000 people cast for B and 1000 people cast vote even for both. Show these informations in a Venn-diagram. How many people didn't cast vote ? Find it. How many votes were valid ? Find it.
Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election
Given that In a municipal election, two candidates, A and B, ran for the position of Mayor, and 25000 people voted. Voters were supposed to vote for only one candidate. A received 12000 votes, B received 10,000 votes, and 1000 cast votes for A and B both.
Number of votes for A=12,000
Number of votes for B=10,000
1000 cast votes to Both A and B, these votes are not valid because each one is supposed to vote only for one.
Therefore, the number of votes not valid is 1000
Total people cast vote= sum of votes for every party
Total people cast vote=12,000+10,000+1000
Total people casted vote=23,000
Therefore, Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election
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Which mixed number is equivalent to the improper fraction?
37
3
O A. 12
OB. 3/1/2
O C. 10
3
OD. 12/
Answer:
Mixed fractions is equivalent to improper fraction both A and C
A. 12 1/3
C. 10 7/3
The governor of state A earns $54,900 more than the governor of state B. If the total of their salaries is $310,850, find the salaries of each.
need to find a and b
Answer:
$127975, $182875
Step-by-step explanation:
Let the salary in state A be x. Then, the salary in state B is x+54900.
[tex]x+x+54900=310850 \\ \\ 2x=255950 \\ \\ x=127975 \\ \\ x+54900=182875[/tex]
Solve for x.
8x - 2 = 3x + 5x
Answer:
x=-8
Step-by-step explanation:
8x-2=3x+5x
1. Combine Like Terms
3x+5x=8x
Now your equation looks like this:
8x-2=8x
+8x +8x
2. Move Variables to one side
Now this is your equation:
-2=16x
3. Divide to isolate "x"
16/-2
x=-8
Let me know if this helped! :)
A group of 2129 students were surveyed about the courses they were taking at their college with the following results:
921 students said they were taking History.
987 students said they were taking Dance.
1012 students said they were taking Psychology.
474 students said they were taking Dance and History.
466 students said they were taking Psychology and History.
457 students said they were taking Dance and Psychology.
235 students said they were taking all three courses.
a) How many students took Dance or didn't take Psychology?
b) How many students took Dance & Psychology or took Psychology & History?
c) How many students took Dance, Psychology, or History?
d) How many students took Dance or History, but not Psychology?
e) How many students took none of the courses?
f) How many students took Psychology and History, but not Dance?
Using the Venn sets, the amounts are given as follows:
a) 1358 students.
b) 688 students.
c) 1758 students.
d) 746 students.
e) 371 students.
f) 771 students.
What are the Venn Sets?For this problem, we consider the following sets:
Set A: students taking History.Set B: students taking Dance.Set C: Students taking Psychology.235 students said they were taking all three courses, hence:
(A ∩ B ∩ C) = 235.
457 students said they were taking Dance and Psychology, hence:
(B ∩ C) + (A ∩ B ∩ C) = 457
(B ∩ C) = 222.
466 students said they were taking Psychology and History, hence:
(A ∩ C) + (A ∩ B ∩ C) = 466
(A ∩ C) = 231.
474 students said they were taking Dance and History, hence:
(A ∩ B) + (A ∩ B ∩ C) = 474
(A ∩ B) = 239.
1012 students said they were taking Psychology, hence:
C + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 1012
C + 231 + 222 + 235 = 1012
C + 688 = 1012
C = 324.
987 students said they were taking Dance, hence:
B + (A ∩ B) + (B ∩ C) + (A ∩ B ∩ C) = 987
B + 239 + 222 + 235 = 987
B + 696 = 987
B = 291.
921 students said they were taking History, hence:
A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 921
A + 239 + 231 + 235 = 921
A + 705 = 921
A = 216.
The number of students who took no courses is given as follows:
None + A + B + C + (A ∩ B) + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 2129
None + 216 + 291 + 324 + 239 + 231 + 222 + 235 = 2129
None + 1758 = 2129
None = 2129 - 1758
None = 371.
For item a, the amount is:
Dance + None = 987 + 371 = 1358 students.
For item b, the amount is:
(B ∩ C) + (A ∩ B ∩ C) + (A ∩ C) = 457 + 231 = 688 students.
For item c, the amount is the total subtracted by none, hence:
2129 - 371 = 1758 students.
For item d, the amount is:
A + B + (A ∩ B) = 216 + 291 + 239 = 746 students.
For item e, the amount is of 371, as we found previously.
For item f, the amount is:
A + C + (A ∩ C) = 216 + 324 + 231 = 771 students.
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Find the value of x.
(4x12)°
(7x-28)
The value of x in the angles is 20
How to determine the value of x?The angles are given as
4x - 12 and 7x - 28
These angles are same side interior angles
So, we have
4x - 12 + 7x - 28 = 180
Collect the like terms
So, we have
4x + 7x - 12 - 28 = 180
Evaluate the like terms
So, we have
11x = 220
Divide both sides by 11
x= 20
Hence, the value of x in the angles is 20
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please help asap !!!!
Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.
Answer:
I don't get the question will please can u snap it so I can see it my self and I will help u
Answer: -2 1 over 2
Step-by-step explanation:
Estimate actual problem by rounding all the way and do actual division: LU 1-1(2), LU 1-3(2)
Actual. Estimate
695)8,950
The actual problem will be 9000 % 700, with the remainder 600 and quotient 12.
Since we are with the actual problem, which is 8,950 % 695, here the dividend is 8950 and the divisor is 695, the actual division we come up with the 12 as quotient and remainder 620. Now making the expression simple using the round-off rule, here in the dividend 8950, the last two digits are 50, so we can round off it to 9000 and in the divisor 695, the last digit is 5, so we add 1 in the preceding number converting it to 700, after the actual division of the estimated expression, the quotient we come up with is 12, and the remainder is 600.
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The perimeter of a rectangle is 28 cm. Which of the following express the area of the rectangle in terms of the width x?
Answer:
14x−x
2
Step-by-step explanation:
Perimeter is 2x + 2y = 28 (y is the length BTW)
To find y, transfer equations
28-2x=2y
Divide both sides by 2
14-x = y
Now you have your length in terms of x
Multiplt length and width
x(14-x)
14x - x {}^{2}14x−x
2
Estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019 = A) 40,000 B) 41,000 C) 20,000 D) none of the above
The estimation of the value is A. 40000.
How to calculate the value?Based on the information, we are to estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019.
It should be noted that 18789 to the nearest ten thousand is 20000.
Also, 19019 to the nearest ten thousand will be 20000.
Therefore, the addition will be:
= 20000 + 20000
= 40000
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A student is given this proof.
Given: AOM DON
Prove: CON~ BOM
ZAOM ZDON
given
ZBOM DON
vertical angles
theorem
ZAOM ZBOM
transitive
property of
congruence
ZAOM ZCON
vertical angles
theorem
ZCON BOM
transitive
property of
congruence
The student says that the proof shows that AOM BOM because they
are vertical angles.
Which statement best corrects the student's interpretation?
From the steps below, it has been proved that by transitive property of congruence, we can say that; ∠CON ≅ ∠BOM
How to prove congruent angles?
We are given;
∠AOM ≅ ∠DON
To prove that;
∠CON ≅ ∠BOM
Now, from the image attached, we can say that;
∠BOM ≅ ∠DON because of vertical angles theorem
Similarly, we can say that ∠AOM ≅ ∠BOM due to transitive property of congruence.
Also, we can say that from vertical angles theorem, ∠AOM ≅ ∠CON
Finally, since ∠AOM ≅ ∠BOM, then by transitive property of congruence, we can say that;∠CON ≅ ∠BOM
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A(n) integer is greater than 0.
The question you are asking doesn't provide a ton of info on what you are looking for, however:
________________________________________________________
Integers: "What Are They?"An integer is a number with no fraction part or decimal, and it contains both negative and positive numbers, including the number 0 on a X and Y graph.
~Positive Numbers~ - These include any integer that has greater values than the number 0. They are also commonly referred to as positive integers, natural numbers and whole numbers.Example: 1, 2, 3, 4, and 5 are all positive integers and are greater than 0.~Negative Numbers~ - These include any integer that has values less than the number 0.Example: -1, -2, -3, -4, and -5 are all negative integers that are less than 0.________________________________________________________
Hope this kind of helps you to better understand the topic and hopefully get closer to the answer you seek. Good luck!
For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation.
x - y = 4
Answer:
Please see picture below.
Step-by-step explanation:
The percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014 can be modeled by p= -1.773t+60.442, where p is equal to the percent
and t is equal to number of years after 2000. When will the percent be less than 30 %?
The percent will be less than 30% after the year
(Round to the nearest year as needed.)
example Get more help -
The percent will be less than 30% after the year 2017
Let 'p' be the percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014.
Let 't' be the number of years after 2000.
We have to find when the percent is less than 30%.
The function modelling the percent and the number of years through 2000 and 2014 is p= -1.773t+60.442
So first we need to find the number of years corresponding to 30%.
Substitute p = 30 in the above linear equation.
i.e., 30 = -1.773t+60.442
-1.773t = 30 - 60.442 = -30.442
Therefore, t = 30.442/1.773 = 17.17 ≈ 17 years
Since t denotes the number of years after 2000, when t = 17, the year is 2000+17 = 2017
So the percent will be less than 30% after the year 2017
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A piece of rope 20 feet long is cut from a longer piece that is at least 32 feet long. The remainder is cut into four pieces of equal length. Describe the length of each of the four pieces.
Answer:
3
Step-by-step explanation:
32 - 20 = 12
12/4 = 3
This assumes that by remainder they mean they twelve feet left over and not the twenty feet removed. This is likely what it means.
When the admission price for a baseball game was $5 per ticket, 35,000 tickets were sold. When the price was raised to $6, only 30,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $95,000 respectively.
(a)
Find the profit P as a function of x, the number of tickets sold
The profit function is P(x) = ( - x² / 5000 ) + 11.9x - 95000.
35,000 baseball game tickets were sold at $5 per ticket.
When the price is raised to $6, then 30,000 tickets were sold.
The variable and fixed costs for the ballpark owners are $0.10 and $95,000 respectively.
Let's say x is the number of tickets sold, and P is the profit.
Then,
P = ax + b
At P = 5,
5 = (35000)a + b ---------(1)
At P = 6,
6 = (30000)a + b --------(2)
Subtracting (2) from (1),
5 - 6 = (35000)a + b - (30000)a - b
- 1 = 5000(a)
a = ( - 1/5000)
So if a = ( - 1/5000),
Then,
5 = (35000)a + b
5 = (35000)( - 1 / 5000 ) + b
5 = - 7 + b
b = 12
Therefore,
P(x) = ( - x /5000) + 12
Now, the profit function is:
Profit = Revenue - Costs
P(x) = R(x) - C(x)
Now, R(x) = xp(x)
R(x) = x[ ( - x/5000) + 12]
R(x) = ( - x² / 5000 ) + 12x
The fixed cost is F(x) = $95000
Hence, the costs will be:
C(x) = 95000 + (0.10)x
Therefore the profit function is:
P(x) = R(x) - C(x)
P(x) = ( - x² / 5000 ) + 12x - 95000 - (0.10)x
P(x) = ( - x² / 5000 ) + 11.9x - 95000
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A textbook store sold a combined total of 414 physics and psychology textbooks in a week. The number of physics textbooks sold was 68
more than the number of psychology textbooks sold. How many textbooks of each type were sold?
Find the slope of the line passing through the points (-4,6) and (3,6)
Slope:
Find the slope of the line passing through the points (-5,8) and (-5,-6)
Slope:
Required answer:
0Not DefinedDetailed explanation:
To find the slope of the line, given that it passes through two points, use the formula:
[tex]\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Where:
m = slopePlug in the data:
[tex]\bf{m=\dfrac{6-6}{3-(-4)}=\dfrac{0}{3+4}=\dfrac{0}{7}=\boxed{\bf{0}}[/tex]
- - - - - - - - - - - - - - - - - - - - - -
Given the pair of points: (-5,8) and (-5,-6), plug them into the slope formula:
[tex]\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Evaluate:
[tex]\bf{m=\dfrac{-6-8}{-5(-5)}=\dfrac{-14}{-5+5}=\dfrac{-14}{0}=\boxed{\bf{Not\:De fined}}[/tex]
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