the product of two rational numbers is number because multiplying two rational numbers is equivalent to the ratio of , which is number.
The product of two rational numbers is a rational number.
What is a rational number?Definition and importance Imbalance or monetary disparity alludes to the contrast between the rich and poor, the endlessly the less wealthy it is shown by individuals' various situations inside the financial conveyance abundance, pay and pay. Imbalance is huge in a general public where hardly any individuals own a lopsided measure of the financial pie. Social imbalance alludes to the lopsided economic wellbeing in any general public, coming about because of inconsistent open doors, and lower awards for exertion. This sort of divergence is brought about by a sensation of being unjustifiably treated, or of segregation in host of regions, like restricted admittance to quality training and occupations. Notwithstanding pay imbalance, individuals who have specific individual attributes, either from birth, or which have been constrained on them by others, are in many cases the subject of inconsistent social treatment. These attributes incorporate such things as race, skin tone, and eye shape, as well as parentage, the guardians' societal position, inability, orientation and orientation character.
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Answer: A rational Number
Step-by-step explanation:
Adding/Subtracting Inte
Find each sum.
1) (-12)+7
Answer:
-5
Step-by-step explanation:
(-12)+7 is the same as 7-12 which gives us - 5
Find the total number of different permutations of the set {a, b, c, d, e, f, g}.
The total number of different permutations of the set is 5040
How to determine the total number of different permutations of the set?The set of elements is given as
Set = {a, b, c, d, e, f, g}.
The cardinality of the above set is
n = 7
So, the total number of different permutations of the set is
Permutation = n!
This gives
Permutation = 7!
Expand
Permutation = 7 * 6 * 5 * 4 * 3 * 2 * 1
Evaluate
Permutation = 5040
Hence, the total number of different permutations of the set is 5040
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The sum of the first ten positive even integers.
Answer:
14
Step-by-step explanation:
the fist 20 characters equal 14
Answer:
110
Step-by-step explanation:
integers are basically whole numbers
first 10 even integers would be 2,4,6,8,10,12,14,16,18,20
if you add all those numbers, it would be 110
Which equation is the inverse of y = 7x² - 10?
The inverse of y = 7x² - 10 is √(x+10)÷7
What does mathematics inverse mean?Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effects of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One is the result when a number is multiplied by its reciprocal, or inverse.
based on the available facts;
y = 7x^2 - 10
Switch y and x.
x = 7y^2 - 10
Solve for y.
Add 10 to both sides.
x + 10 = 7y^2
Divide both sides by 7.
(x + 10)/7 = y^2
√ both sides.
√(x + 10)/7 = y
Replace y with f^-1(x)
f^-1(x) = √(x + 10)/7y = 7x^2 - 10
Switch y and x.
x = 7y^2 - 10
Solve for y.
Add 10 to both sides.
x + 10 = 7y^2
Divide both sides by 7.
(x + 10)/7 = y^2
√ both sides.
√(x + 10)/7 = y
Replace y with f^-1(x)
f^-1(x) = √(x + 10)/7
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Joshua has five hundred and sixty eight apples his sister stole 412 of Joshua's apples how many apples does Joshua have now?
Answer:
156
Step-by-step explanation:
568-412=156
Answer:
Step-by-step explanation: 568-412=156
If I have a 107% in a class, and i get a 56% on a test, what will my grade in the class be?
Sorry if it's confusing, I messed up on a test and I'm kind of panicking.
Choosing Brainlyst!
Step-by-step explanation:
don't panic cuz u have still done u bestAnswer:
96.8 %
Step-by-step explanation:
not to bad
a pack of 6 hair clips costs $14.82. what is the unit price HELP
Answer:
2.47
Step-by-step explanation:
Perform long division.
[tex]Borrow\:8\:and\:2.\:You\:will\:see\: :)\\6 \cdot 2 = 12\\= 14 - 12 \\= 2\\Drop\:8\\= 28\\6 \cdot 4 = 24\\= 28 - 24\\= 4\\Drop\:2\\= 42\\6 \cdot 7 = 42\\= 42 - 42\\= 0\\\\= \boxed{2.47}[/tex]
➲ Hope it helps.
which conversion factors are used to multiply to 18 cm/s to get meters per minute? select each correct answer.
The conversion factors are used to multiply to 18 cm/s to get meters per minute is 60s/1m.
What is conversion?The conversion procedure depends on the unique circumstances and the targeted goal. A rule, a contract, technical requirements, or other norms that have been made public may control this. The precision of the initial measurement must not be increased or decreased during some unit conversions from one system to another. Soft conversion is another name for this. It doesn't need altering the way the thing being measured is physically constructed.
A hard conversion or an adaptable conversion, on the other hand, could not be perfect equivalents. In the new system, it converts the measurement to practical and usable numbers and units. Sometimes it entails rearranging the item's parts significantly or changing its size.
18 cm/s means 18 cm in 1 second.
You must change 1 second into a minute and 18 cm into meters when converting 18 cm/s into meters per minute. 18 cm = 18/100 meters.
1 second = 1/60 minutes.
18/100 meters per 1/60 minutes
18/100÷1/60 = 18/100 ×60/1
= 18 ×(60/100) meters per minute
The factor is 60s/100cm, which is equivalent to 60s/1m
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9. a flat shape with 4 straight sides where: all sides have equal length, and every interior angle is a right angle
It is square-shaped as it is 4-straight sides with equal length, and every interior angle is right angle.
Why do you use the term "right angle"?A right angle is defined as an angle in geometry and trigonometry that is exactly 90 degrees, or pi /2 radians, or one-quarter turn. The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal. An interior angle is a shape's internal angle. The closed shape with sides and vertices is a polygon. All of the inner angles of a regular polygon are equal to one another. For instance, a square has interior angles that are all exactly right angles, or 90 degrees. The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The symbol is used to indicate a right angle.
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whats the answer to this math problem 28=16+1/2c
Answer:
c= 24
Step-by-step explanation:
Someone please pick the correct answer (don’t guess)
Answer: it's 75
Step-by-step explanation:
acd= 165 bcd=90 165-90=75 therefore its a 75 degree angle
Stephen and Paul each purchased a movie ticket at AMC theaters for $11.00 each. Both bought a drink from the concession stand. Stephen used a $5.00 off coupon that he received in the mail. After using the coupon, their total cost before tax was $29.18.
Write an equation that can be used to determine the cost of one drink. Be sure to define your variable.
The equation that can be used to determine the cost of one drink is 29.18 = 22 + 2x - 5 where the cost of each drink is $6.9
EquationCost of each movie tickets = $11Total of movie tickets = $11 × 2= $22
Coupon = $5Cost of each drink = xTotal cost after coupon = $29.1829.18 = 22 + 2x - 5
29.18 = 17 + 2x
29.18 - 17 = 2x
12.18 = 2x
divide both sides by 2x = 12.18 / 2
x = 6.9
Therefore, the equation that can be used to determine the cost of one drink is 29.18 = 22 + 2x - 5 where the cost of each drink is $6.9
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Mrs. Milleman's math class is planning to going on a field trip. The school bus which is taking them can hold at most 48 people. Write an inequality to represent the number of students s who can attend the field trip on the bus.
Responses
s≥48 s is greater than or equal to 48
s>48 s is greater than 48
s≤48 s is less than or equal to 48
s<48
The inequality to represent the number of students who can attend the field trip on the bus will be C. s≤48 s is less than or equal to 48.
How to illustrate the informationFrom the information, Mrs. Milleman's math class is planning to going on a field trip. The school bus which is taking them can hold at most 48 people.
Therefore, the inequality to represent the number of students who can attend the field trip on the bus will be C. s≤48 s is less than or equal to 48.
In conclusion, the correct option is C.
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Please help me.
20 points
If you put “I don’t know” or something like that just to get the points I will not hesitate to report.
Answer: B. 3x+6<6 or -2x+9>3
C. 3x-5<10 and -2x+9>3
Write the equation that can be used to find the number of sales Luke made this week. Represent the number of sales as x and don't use any $ symbols.
luke works at a store and earns a fixed amount of $191 plus $16.55 per sale. Noah works at a different store and earns a fixed amount of $573 plus $49.65 per sale. They both made the same number of sales, but Luke earned
1/3 as much money as Noah this week.
An equation that can can be used to find the number of sales Luke made this week is; 191 + 16.55x = ¹/₃(573 + 49.65x)
How to Solve Equation Word Problems?
We are told to represent the number of sales as x.
Now, Luke works at a store and earns a fixed amount of $191 plus $16.55 per sale. This is represented as; 191 + 16.55x
Noah works at a different store and earns a fixed amount of $573 plus $49.65 per sale. This is represented as; 573 + 49.65x
We are told that they both made the same number of sales but Luke earned a third of what Noah earned. Thus;
191 + 16.55x = ¹/₃(573 + 49.65x)
An equation that can can be used to find the number of sales Luke made this week is;
191 + 16.55x = ¹/₃(573 + 49.65x)
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Charlotte is visiting Brazil and is looking at souvenirs to purchase. She finds a jersey that costs 137 Brazilian real. If the current exchange rate is 1 dollar:5.43 Brazilian real, how much does the jersey cost in U.S. dollars?
$743.91
$131.57
$25.23
$3.96
Answer:
$25.23
Step-by-step explanation:
A bag contains 3 blue chips, 7 red chips, 4 yellow chips, and 5 green chips. A chip is randomly drawn from the bag. Find probability.
P (not red)
If a chip is randomly drawn from the bag, the probability it is not a red one is P(not red) = 12/19.
Probability of an event A is the number of event A divided by all possible outcomes. Mathematically,
P(A) = n(A)/n(S)
where:
n(A) = number of event A
n(S) = number of all possible outcomes or sample space.
Suppose there 3 possible outcomes, A, B, and C, then:
n(S) = n(A) + n(B) + n(C)
1 = P(A) + P(B) + P(C)
The probability the outcome is not event A is equal to the probability of (B or C), or in other words,
However,
P(B or C) = P(B) + P(C)
It means,
P(not A) = 1 - P(A)
In the given problem:
Number of chips:
Blue = 3
Red = 7
Yellow = 4
Green = 5
Total chips = 3 + 7 + 4 + 5 = 19
If a chip is randomly drawn, the probability it will be a red one is:
P(red) = 7/19
Hence
P(not red) = 1 - 7/19 = 12/19
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Use rectangle ABCD and the given information to solve each problem.
AC = 4x-54 and BD = 33 + 1x, find x =
& BD =
A
D
E
The value for x is [Select]
The value for BD is [Select]
The value of x and BD are 29 and 62
How to determine the lengthsFrom the diagram shown, we can see that AC and BD are diagonals of the rectangle
It is important to note that the diagonals of a rectangle are equal
Then,
AC = BD
4x - 54 = 33 + x
collect like terms
4x - x = 33 + 54
Add/ subtract like terms
3x = 87
Make 'x' the subject
x = 87/ 3
x = 29
But BD = 33 + 1x = 33 + 1(29) = 33 + 29 = 62
Thus, the value of x and BD are 29 and 62
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Prove by C/D formula that cos A + cos 2A + cos 5A = cos 2A (1 + 2 cos 3A)
We have proved the trigonometric expression cos A + cos 2 A + cos 5 A = cos 2 A (1 + 2 cos 3 A) by using C/D formula.
We are given the expression:
cos A + cos 2 A + cos 5 A = cos 2 A (1 + 2 cos 3 A)
We need to prove the expression.
We know that:
Cos C + Cos D = 2 cos ( C + D / 2) cos ( C - D / 2)
Using this identity, we get that:
= cos 5 A + cos A + cos 2 A = cos 2 A (1 + 2 cos 3 A)
= 2 cos ( 5A + A / 2) cos ( 5A - A / 2) + cos 2 A = cos 2 A (1 + 2 cos 3 A)
= 2 cos 3 A cos 2 A + cos 2 A = cos 2 A (1 + 2 cos 3 A)
= cos 2 A ( 2 cos 3A + 1) = cos 2 A (1 + 2 cos 3 A)
= cos 2 A (1 + 2 cos 3 A) = cos 2 A (1 + 2 cos 3 A)
LHS = RHS
Hence proved.
Therefore, we have proved the trigonometric expression cos A + cos 2 A + cos 5 A = cos 2 A (1 + 2 cos 3 A) by using C/D formula.
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3h = 7 (2/7 - 3/7h) - 10
Answer:
h = -4/3
Step-by-step explanation:
Worked out on paper
A scientist created a scatter plot to represent the heights of four plants over time. Then, she found a line of best-fit to model the height in centimeters of each plant after x days. The equations of each trend line are given in the table.
Trend Line Equations
Plant
Equation of trend line
1
y = three-halves x + three-halves
2
y = 2 x + 1
3
y = one-half x + 3
4
y = three-halves x + 1
According to the trend line equations, which plants are growing at the same rate per day?
1 and 2
1 and 4
2 and 3
2 and 4
Reason:
Both have the same slope of 3/2, aka "three-halves".
The slope is the rate of change. It tells us how fast or slow a plant is growing. The larger the number, the faster the growth.
Recall that y = mx+b has,
m = slope
b = y intercept
Therefore, the slope is thee number just to the left of x.
A calculator is allowed on this question.
Dominique traveled to France and used her American
bank card to withdraw x Euros (the currency used in
France) from a cash machine. Assume 1 Euro equals
$1.35. Her bank charged a 3% fee for the transaction.
Which expression represents the total number of
dollars that she was charged in terms of the number of
Euros, x, withdrawn from her account?
Answer: 1.03(1.35x)
Step-by-step explanation:
Manny saves 2/20 of each paycheck for a new motorcycle and 3/20 of each paycheck for retirement. Manny earns $2918 per paycheck.
How much does Manny save per paycheck?
Enter your answer in the box.
Manny would save $729.50 per paycheck
What are dollar savings on new motorcycle and retirement?
The amount of savings on new motorcycle and retirement can be determined by multiplying the fractions by the earnings per paycheck
savings for new motorcycle=$2918*2/20
savings for new motorcycle=$291.80
savings on retirement=$2918*3/20
savings on retirement=$437.70
total savings=$291.80+$437.70
total savings=$729.50
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The function defined by d = 50+3121-16² gives the height in feet of a cannonball t seconds after the
ball leaves the cannon.
1. What do the terms 50, 312t, and -16? tell us about the cannonball?
2. Use graphing technology to graph the function. Adjust the graphing window to the following
boundaries: 0
n
Here we have the quadratic function:
f(x) = 50 + 312*t - 16t²
The quadratic term:
- 16t²
Refers to the acceleration of the cannonball, in this case, caused by the gravitational force.
The linear term:
312*t
Refers to the vertical initial velocity of the cannonball (the velocity of the cannonball when t = 0)
The constant term:
50
Refers to the the initial height of the cannonball.
Now we want to graph between the boundaries "0 n", im not sure of what do you mean with that, so I will give the graph of the function in its whole domain, which can be seen below.
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Graph the line y = x on graph paper.
a. Draw a slope triangle.
b. Rotate your slope triangle 90° around the origin to get a new
slope triangle. What is the new slope?
c. Write an equation of a line perpendicular to y = x.
Answer: To graph y = x is simple, it is a line that intercepts at 0, and goes up by 1/1, or 1 (rate of change)
Step-by-step explanation:
1. For C, it's simple, it is y = -x, since the negative reciprocal slope is usually perpendicular to the original number (if not able to convert to fractions, like 1, it's just the same whole number, but a negative).
2. For the "Rotate your slope triangle 90 degrees"; seems simple, which I think you should do a reciprocal of the number, and make it a negative, for ie. 3 is a slope, when changed, it becomes -1/3. so the new slope is a negative reciprocal.
Translate the sentence into an equation. Nine less than the product of 6 and a number equals 2.
Answer:
6x-9=2
Step-by-step explanation:
use the given values to complete the table create quantities proportional to each other and graph them what's the answer?
Answer:
?
Step-by-step explanation:
,
If ED=15, find the value of x. Is N the midpoint of ED? Explain why or why not.
15
E
4x-1
N
4 + 2x
D
Answer:
x=3 and N is the mid-point.
Okay, so if N is the mid-point.
E D=15
E N=4 x -1
N D=4+ 2 x
6 x -3=15
Now get the 6 x by itself, so move the 3 over
So it would be: 6 x =18
So that would be 6 divided by 6 is x and then 18 divided by 6 equals 3
So, X equals 3
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer
also has fixed costs each month of $8,000.
a. Find the cost function C when "x" energy drinks are manufactured. C(x) =
Write your answer in slope-intercept form.
b. Find the revenue function R when "x" drinks are sold. R(x) =
Write your answer in slope-intercept form.
c. Graph both your Revenue and Cost functions on the graph below that shows the break-even point.
Answer:
Find the revenue function R when x energy drinks are sold.
Step-by-step explanation: