Show that the set {-1, 0, 1} is closed under multiplication

Answer:

6

Step-by-step explanation:

The ratio of omelets and egg is calculated as:

omelets: egg = 3:9

omelets: egg = 1:3

The number of the omelets made by 18 eggs will be calculated as below:

omelets: egg = 1:3

omelets: 18 = 1:3

omelets = 18 x (1/3)

omelets = 6

Therefore, the number of omelets made by 18 eggs will be 6.

Answer:

n = 41/10 OR 4.1

Step-by-step explanation:

10n + 2 =43

10 + 2 - 2 = 43 - 2

10n = 43 - 2

10n = 41

10n/10 = 41/10

n = 41/10

Answer:

Step-by-step explanation:

10n + 2 = 43 what is the value of n

10n + 2 = 43

10n = 43 - 2

10n = 41

n = 41/10

-------------------

check

10 * 41/10 + 2 = 43

41 + 2 = 43

43 = 43

the answer is good

80 milligrams is the amount of vitamin C that is considered to be 100% of the daily recommended requirement for adults.

Parameter

Since the orange juice container that has a capacity of 16 ounces states that it has 200 milligrams of vitamin C, this means that it fulfills 250% of an adult's recommended daily requirement for vitamin C. Then, for one hundred percent of the daily allotment,

As a result, we are able to draw the conclusion that the amount of vitamin C that is considered to be 100% of the daily recommended requirement for people is 80 milligrams.

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The probability that Romina randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie is 7/100.

Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.

The probability of picking an oatmeal cookie then a sugar cookie = (number of oatmeal cookies / total number of cookies) x (number of sugar cookies / total number of cookies -1)

Total number of cookies = 8 + 4 + 6 + 7 = 25

The probability of picking an oatmeal cookie then a sugar cookie = (7/25) x (6/24) = 7/100

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Answer:

I believe it is 44x^2+5x

Step-by-step explanation:

Answer:

the answer is y=3x - 9

Step-by-step explanation:

From y=mx+c

;m=3 (slope)

Therefore y=3x+c

SOLVING FOR C

y=3x+c

From (2,-3)

x=2

y=-3

-3=3(2)+c

-3=6+c

SUBTRACTING (6) FROM BOTH SIDES

-3-(6)=6-(6)+c

-3-(6)=0+c

c= -3-(6)

c=-9

THEREFORE THE EQUATION OF THE LINE IS

y=3x-9

Step by step Explanation= if a=8

then a×9 =8×9=72

Answer =72

We have to know about translation inorder to understand the question.The correct answer for the question is m∠A'=63°.

A translation is a rigid transformation where a figure is moved from one location to another without changing it's size,shape or orientation.This means that the triangle that we get after translation is same as it's pre-image. So here we can say that traingles ABC and A'B'C' are congruent.When two triangles are congruent their respective sides and angles are congruent too,se we can say that

AB=A'B'    and     m∠A=m∠A'

BC=B'C'                m∠B=m∠B'

AC=A'C'               m∠C=m∠C'

It is given that in triangle ABC, m∠A=63° thus we can say that m∠A'=63°

Thus we see that using the concept of traingle translation and congruency we found that m∠A'=63° is the correct answer.

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The value of the variable that makes the equation true is: b = 8.3.

By isolating the given variable in an equation to one side of the equation, we can find out its value which will make the equation true.

Given the equation, b + (-8.3) = 0

b - 8.3 = 0 [plus times minus = minus]

Add 8.3 to both sides of the equation, to isolate variable b

b - 8.3 + 8.3 = 0 + 8.3

b = 8.3

Let's check if the value of b would make the equation true by plugging in the value of b:

b + (-8.3) = 0

8.3 + (-8.3) = 0

8.3 - 8.3 = 0

0 = 0 [true]

Therefore, the value of the variable that makes the equation true is: b = 8.3.

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The value of the function f(2) for the function with the equation  f(x) = 8 - 3x is 2

The function value is given as

f(x) = 8 - 3x

The above is a linear function

As a general rule

Linear functions are function that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

From the question, we have the value to be

f(2)

The above means that we determine the value of the function when x = 2

i.e., f(x) = ? when x = 2 or we substitute 2 for x in f(x)

Next, we test the above function with the x value

So, we have

f(x) = 8 - 3x

Substitute 2 for x in f(x)

f(2) = 8 - 3 x 2

Evaluate the product in the above equation

So, we have

f(2) = 8 - 6

Evaluate the difference in the above equation

So, we have

f(2) = 2

Hence, the value of the function f(2) for the function with the equation  f(x) = 8 - 3x is 2

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Possible question

Given f(x)=8−3x, find the following: f(2)

The value of cos 67.4° is 5/13.

According to trigonometric identities used in mathematics, sin of an angle is equal to cos of 90 - the given angle. Mathematically, this means that, suppose we have an angle x, then-

sin(90 - x) = cos x

Here, we are given that sin 22.6° = 5/13. As we can observe that (90 - 67.4) is equal to 22.6, and we need to find the value of cos  67.4° only. Thus we can write the given equation as follows-

sin22.6° = sin(90 - 67.4°)

= cos 67.4°

Thus, sin 22.6° = cos 67.4°

Hence, cos 67.4° = 5/13

Thus, the value of cos 67.4° comes out to be 5/13.

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Car A travel before meeting car B in the middle is 268 second.

Constant Speed Motion

An object is said to travel at constant speed if the ratio of the distance traveled by the time taken is constant.

Expressed in a simple equation, we have:

v= d/t

Where  

v = Speed of the object

d = Distance traveled

t  = Time taken to travel d.

From the equation above, we can solve for d:

d = v . t

And we can also solve it for t:

t = d/v

Two cars are initially separated by 5 km are approaching each other at relative speeds of 55 km/h and 12 km/h respectively. The total speed at which they are approaching is 55+12 = 67 km/h.

The time it will take for them to meet is:

t = 5/67

t = 0.0746 hours

Converting to seconds: 0.0746*3600 = 268.56

Therefore the closest answer is d. 268 s.

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Answer:

C

Step-by-step explanation:

5 = sin(30) × x = 0.5 × x

x = 5 / 0.5 = 10

If  a package contains 12 resistors, 3 of which are defective. If 4 are selected, the probability of getting

a) 0 defective resistors: 0.3164

b) 1 defective resistor: 0.4219

c) 3 defective resistor: 0.0469

First step is to calculate the probability for a defective resistor and non-defective resistor:

Probability=3/12

Probability =0.25

Non-defective resistor:

Probability=(1-0.25)

Probability=0.75

Now  let find the probabilities for defective resistors from 0 to 3

P(0)=1(0.75)^4 ×(0.25)^0

P(0)=0.3164

P(1)=4(0.75)^3× (0.25)^1

P(1)=0.4219

P(2)=6(0.75)^2× (0.25)^2

P(2)=0.2109

P(3)=4(0.75)^0×(0.25)^3

P(3)=0.0469

P(4)=1(0.75)^0 × (0.25)^4

P(4)=0.0039

Hence,

a. P(0)=0.3164

b. P(1)=0.4219

c. P(3)=0.0469

Therefore If  a package contains 12 resistors, 3 of which are defective. If 4 are selected, the probability of getting 0 defective resistors: 0.3164, 1 defective resistor: 0.4219, 3 defective resistor: 0.0469.

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The system of equations is given by :

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

We shall employ the linear combination method to resolve a system of three equations in three variables. This time, we will solve for the third variable while eliminating the second variable using the equations that follow from the elimination of the first.

Given the number of small drinks by the vendor is s , number of medium drinks is m and the number of large drinks is g.

The vendor sold all three drinks total of 1385, hence the equation:

∴ s + m + g = 1385.

Each small drink costs 1.15 , medium drinks cost 1.75 and large drinks cost 2.25, hence the equation:

∴ 1.15 s + 1.75 m + 2.25 g = 2238.75

He sold twice as many small drinks as medium drinks, hence the equation:

∴ s = 2m

The system of equations is given by:

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

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Answer:

7/12+1/3_1/2+2/8

lcm of 12 and 3 is 12-lcm of 2 and 8 is 8

8/12-3/8

=5/24

The downloads that would give you a profit of $30,000 the next month is 700 download.

From the information, the profit was given by P(x)=-0.5x²+400x-6,000.

The number of downloads that would give you a profit of $30,000 the next month will be:

P(x)= -0.5x² + 400x - 6,000.

3000 = -0.5x² + 400x - 6,000.

-0.5x² + 400x - 6,000 - 3000 = 0

0.5x² - 400x + 9000 = 0

Divide through by 5

0.1x² - 80x + 1800 = 0

Using almighty formula, the value of x is 700.

Therefore, the downloads that would give you a profit of $30,000 the next month is 700 download.

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Step-by-step explanation:

try this option (see the attachment).

The domain and range of the given graph is [tex][-3,-2) \sqcup (-1,5][/tex] and [tex][-5,4)[/tex] respectively .

From the graph , we can see that the left most point is when x = -3 and this point is closed in endpoint, so we will include this value of x in the domain.

Whereas its another point is on x = -2 which is not filled up so , we will not consider this value of x in the domain. In the interval , domain can be represented by [tex]-3\leq x < -2[/tex]  .This interval can be written as [tex][-3,-2)[/tex]

Now , the right most point is when x = 5 which is filled up so we will include this value of x in the domain. Whereas it's another endpoint is at x = - 1 , we will not consider this value of x in the domain as it is not filled up. In the interval , domain can be represented by [tex]-1 < x\leq 5[/tex] .This interval can be written as [tex](-1,5][/tex] .

In order to get the full domain of the function we will use union symbol

 [tex][-3,-2) \sqcup (-1,5][/tex]

For the range , we will observe the values of y . The lowest point is when y = -5 which is filled up so we will include this value of y in the range.

Whereas the highest point is when y = 4 which is not filled up so , we will not consider this value of y in the range . In the interval , range can be represented by [tex]-5\leq y < 4[/tex] .Since there are no gaps in the range, we don't use any union symbols here and hence range is [tex][-5,4)[/tex]

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The percentage of students who spend less than 4 hours a week on screens which reported a grade average below 80 is 50%

Given, we have the report representing children spending time online, on social media or watching T.V, which has there effect on there grades as above or below 80.

By the question we know that the number of students who spends less than 4 hours a week on screen is:

9 + 9

= 18

And among the 18 students there are 9 students whose grade average is below 80.

So the percentage of the students who spends 4 hours a week on screen is:

= 9 ÷ 18 × 100%

= 100/2

= 50%

hence 50% students spend less than 4 hours a week on screens.

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The grocery store sells each orange at $0.56.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A grocery store sells a bag of 8 oranges for $4.48.

∴ The cost per orange is $(4.48/8) = $0.56.

The cost of each orange is $0.56.

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The dimensions of the rectangular  page will be 11.02 inches in width and 7.35 inches in height so that the least amount of paper is used.

Given that,

The area of the rectangular print = 81 square inches

The margins at the top of the page = 1inches, and

The margins at the bottom of the page  = 1inches,

And,

The margins on each side = 1(1/2) inches wide.

Now,

Let, the width of the print = x

And,

The height of the print = y

Now,

According to the question,

The width of the page = x + (1.5 + 1.5) = x + 3

And,

The height of the page = y + (1 + 1) = y + 2

Now,

i.e.

xy = 81

we get,

y = (81/x)

Now,

The area of the page (A) = (x + 3)(y + 2) = (x + 3) [(81/x) + 2],

Now,

For the least amount of paper to be used,

dA/dx = (x + 3) [(81/x) + 2]

We get,

dA/dx = [(81/x) + 2] + (x + 3) [-81/x²] = 0

[(81+2x)/x] = [(x + 3) * 81]/x²        

81 + 2x² = 81x + 243

2x² = 243

We get,

x = 11.02 inch

So,

y = 81/x = 81/11.02 = 7.35 inch

Hence we can say that the dimensions of the rectangular page will be 11.02 inches in width and 7.35 inches in height so that the least amount of paper is used.

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Answer:

The correct answer is 17.92

Step-by-step explanation:

28×0.64 = 17.92

The numbers below are what you could round to for your answer depending on what you answer choices are:

Whole number: 18

Ten's place: 17.9

Hundred's place: 17.92

Answer:

9954

Step-by-step explanation:

ca1cu14t0r

Answer:

The answer for this question is 9,954.

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Answer:

s = 13m + 384

hope this helped <3

Answer: P = 50x + 100

Step-by-step explanation: P is the total amount that you pay, 50x is the amount per hour plus the flat rate of 100 that you are guaranteed to pay.

Hope this helps.

The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

You had to take your car to the shop for a weird noise. The mechanic charges a flat rate of $100 for looking at your car and $50 an hour to fix the problem.

Let P represents the amount of pay and x be the number of hours. Then the linear equation is given as,

P = 50x + 100

The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.

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Answer:look at the variable and it will all fall together

Step-by-step explanation:

Answer:

okay so she got and odd sum 5 times which will mean she has -10 points and then she got a pair of threes which gives her 3 points so now she has -7 which means she needs 7 more points so the least amount would be 3

Step-by-step explanation: