-3x+4y=2 & -6x+6y=-3 solve by elimination

Answer:

8x - x = 70

Step-by-step explanation:

x equals 10 because,

8 x 10 = 80

and x = 10, so 80 - 10 = 70.

The approximate price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.

Herein we have an application of direct proportionality model, now described:

y = k · x     (1)

Where:

If we know that x = 830 EUR and k = 0.908 USD/EUR, then the cost of the bookcase in the United States is:

y = (830 EUR) · (0.908 USD/EUR)

y = 753.64 USD

The approximate price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.

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The median is 5.

The median is 11.

The data set is bimodal.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(13 + 13 −5 −5 + 13 + 11 −5) / 7 = 35/7 =5

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

-5, -5, -5, 11,  13,13, 13

Median = 11

A bimodal data set is a distribution with two clear most frequent values.

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Answer:

(x/2 , 17/2)

Step-by-step explanation:

To find a midpoint, you average the x's and average the y's. Average them by adding the x-coordinates and divide by 2. Same with the y's.

The x's are x for P1 and 0 for P2.

x+0 / 2

=x/2

This will be the x-coordinate of the midpoint. Then for the y, use 8 and 9, the y's.

8+9 / 2

= 17/2

This will be the y-coordinate of the midpoint.

The midpoint is:

(x/2 , 17/2)

You could also divide 17/2 and get 8.5 then the midpoint would be:

(x/2 , 8.5)

Answer:

200

Step-by-step explanation:

it was found that the ratio of people who liked Arithmetic and Algebra is 9 : 8. If 25% liked the both, 80 liked none of these and 20% liked arithmetic only, find the total number of people participated in the survey. Ans: 200

(a) The arc length of each of the two smaller semicircles is [tex]4\pi[/tex], and the arc length of each of the two larger semicircles is [tex]15\pi[/tex]. Therefore, the perimeter is [tex]2(4\pi)+2(15\pi)=38\pi[/tex].

(b) The area of each of the smaller semicircles is [tex]\frac{1}{2}(\pi)(4^2)=8\pi[/tex], and the areaof each of the larger semicircles is [tex]\frac{1}{2}(\pi)(15^2)}=\frac{225\pi}{2}[/tex].

So, the combined areas of the four semicircles is [tex]241\pi[/tex].

The area of the rectangle is 60, so the total area is [tex]241\pi+60[/tex].

Answer:

A. Coffee 4C below the freezing point

Step-by-step explanation:

Negative temperature when talking about water means below the freezing point (below 0). Look up number line. Negative 4 is below 0 whereas positive 4 is above 0. Thus, option A is the best answer

Answer:

A

Step-by-step explanation:

This is because negative number start below zero and since water freezes at zero degrees celsius, Mia's iced coffee is below the freezing point.

The system of inequalities that represent the graph is

y ≤ -x +4

y < 3x-1

The correct option is the third option

From the question, we are to determine the system of inequalities that represents the graph

The equation of the solid line is  y = -x +4

Since the lower part of the graph was shaded

Then,

The inequality that represents the solid line is

y ≤ -x +4

The equation of the dotted line is  y = 3x -1

Since the lower part of the graph was shaded,

Then,

The inequality that represents the solid line is

y < 3x-1

Hence, the system of inequalities that represent the graph is

y ≤ -x +4

y < 3x-1

The correct option is the third option

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Answer:

The graph is shown above.

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

[tex]S'(t)=-24^{1/3}[/tex] SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given [tex]S'(t)=-24^{1/3}[/tex] ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from [tex]S'(t)=-24^{1/3}[/tex]

[tex]\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\[/tex]

On Integrating both sides

[tex]S(t)=-18t^{4/3}+c ~...~...~(2)[/tex]

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

[tex]\therefore[/tex]from eq (2)

[tex]S(t)=-18t^{4/3}+1200 ~...~...~(3)[/tex]

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) [tex]300=-18t^{4/3}+1200[/tex]

[tex]t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030[/tex]

Hence the company will continue 18.8020 months.

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Option 1 is correct. The point T is the number of books and their cost where the subscription with the annual fee costs less.

At y1 = 96

y2 = 30

The service  charge is said to be 3 dollar

We have that y1 is less than y2. This is because 30 is less than 92.

From this we have to conclude that it is the first option. This is because 3 dollars would be charged or less than that.

Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed  dollar annual fee and the other which charges  dollars per book he borrows. Here's a graph that shows a system of equations for this scenario where  is the number of books Aaden borrows and y is the total cost of the subscription. ks) What does point T represent in this ? Choose 1 answer:

A number of books and their cost where the subscription with the annual fee costs less

A number of books and their cost where the subscription that charges per book costs less  of

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Based on the level of seniority of Mary Beth's unit, the correct conclusions on who will be terminated is:

Cheryl will be terminated because both Fred and Mike have seniority over them which means that they are at least third in seniority.

However, we cannot tell who will be terminated between Mike and Sue because the relationship between them is undefined. Fred is safe from termination, however.

The rest of this question is:

1. Mike will be terminated

A)True

B)False

C)Unknown

2. Sue will be terminated

A)True

B)False

C)Unknown

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Let be P(x, y) and Q(x, y) two distinct points on Cartesian plane, which generates a line segment. The slope represents the "inclination" of that line segment:

[tex]m = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex]

Slope is a relationship of the change in the dependent variable (y) and the change in the independent variable (x). In this question we should present the correct definition for slope, which is described below:

Let be P(x, y) and Q(x, y) two distinct points on Cartesian plane, which generates a line segment. The slope represents the "inclination" of that line segment:

[tex]m = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex]     (1)

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The addition of the total choices selected in the test based on the assumed figures is 891.

Your question is incomplete and the complete question wasn't found online. An overview will be given. The assumed figures for A choices include the numbers from 20 to 46. In this case, the total of the numbers will be:

= 20 + 21 + 22 + 23 + 24 .... 46.

= 891

In conclusion, the correct option is 891.

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The table which shows that y vary directly with x is the first table, second table and third table.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the first table, using the points (1, 3) and (3, 9):

y = 3x

From the second table, using the points (-4, -2) and (-2, -1):

y = (1/2)x

From the third table, using the points (-2, 2) and (-1, 1):

y = -x

The table which shows that y vary directly with x is the first table, second table and third table.

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The statistical test that can be used for the given statements is; the goodness-of-fit test

1) For the archeologist story, the goodness-of-fit test is the best and most relevant test that can be applied because the archaeologist wishes to determine if her prediction was correct by comparing the actual number of artefacts recovered in each grid section to the expected frequencies.

2)  The economist generates a list of expected stock market index points for the next two weeks, as well as the actual points at the end of each trading day. The economist then compares the actual and expected points to ensure that the model he constructed is accurate. As a result, economists can use the goodness-of-fit test in this study.

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Final answer:

The difference of the elevations is 30347 feet.

Step-by-step explanation:

Step 1

The highest elevation is 29028 feet.

Step 2

The lowest elevation is -1319 because it is below the sea level.

Step 3

The difference of the elevations is:

29028 - (-1319)

Step 4

Evaluate the value of expression:

29028 - (-1319) = 30347

The most frequent number of over-the-limit items for this dataset is 3.5 - 4.5 and the frequency of the most frequent number of over-the-limit items is 14

The most frequent number of over-the-limit items for this data set is the dataset that has the highest frequency.

This is represented by the class that has the highest bar on the histogram

To do this, we simply check the class that has the highest bar on the histogram.

From the attached histogram the class that has the highest bar on the histogram is 3.5 - 4.5

Hence, the most frequent number of over-the-limit items for this dataset is 3.5 - 4.5

In (a), we have:

The most frequent number of over-the-limit items for this dataset is 3.5 - 4.5

Next, we check the frequency of the most frequent number of over-the-limit items for this dataset

According to the histogram, the most frequent number of over-the-limit items for this dataset has a frequency of 14

Hence, the frequency of the most frequent number of over-the-limit items is 14

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The product (a^2x^3 -5x+3a).(-2a^3x) is -2a^5x^4 + 10a^3x^2 - 6a^4x

The expression is given as:

(a^2x^3 -5x+3a).(-2a^3x)

Open the bracket

-2a^3x * a^2x^3 -2a^3x * - 5x -2a^3x * 3a

Evaluate the products

-2a^5x^4 + 10a^3x^2 - 6a^4x

Hence, the product (a^2x^3 -5x+3a).(-2a^3x) is -2a^5x^4 + 10a^3x^2 - 6a^4x

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Total cards left

Total hearts left

Probability

Option B

Answer:

[tex]\sf F. \quad \dfrac{1}{4}[/tex]

Step-by-step explanation:

A deck of 52 playing cards contains 13 hearts.

If Sara has 12 cards from this deck in her hand and 3 of them are hearts, then:

Total cards remaining in the deck

= total deck - cards Sara has

= 52 - 12

= 40

Total hearts left in the remaining deck

= total heart cards - heart cards Sara has

= 13 - 3

= 10

So there are 40 cards in the deck and 10 of them are hearts.

Probability Formula[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Therefore, the probability that a card drawn at random from the remainder of the deck will be a heart is:

[tex]\begin{aligned}\implies \sf P(heart) & =\dfrac{\textsf{number of hearts in remaining deck}}{\textsf{total cards in remaining deck}}\\\\ & =\dfrac{10}{40}\\ \\& =\dfrac{1}{4}\end{aligned}[/tex]

9680 smart phones of total 20465 sold smart phones would be made by Apple.

Percentage is a mathematical measurement of any mathematical quantity or number or another measurement out of a total of 100.

Here given that in the US 47.3% of smart phones sold are made by Apple.

And in one day 20465 phones are sold.

So,

Out of 100 sold smartphones, 47.3 phones are made by Apple.

then out of 1 sold smartphone 47.3/100 phones are made by Apple.

Hence out of 20465 smartphones (10465*(47.3/100)) = 9679.945 phones are made by Apple.

Since number of sold smart phone cannot be in decimal number in real, it always a whole number.

Approximating to the nearest whole number we get out of 20465 sold smart phones in one day, 9679.945 = 9680 smart phones are made by Apple.

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The equation for the given coordinates (3,0) and (4,4) is 4x-y+3=0.

The given coordinates are (3,0) and (4,4).

The formula to find the slope of an equation is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex].

Now, slope[tex]=\frac{4-0}{4-3} =4[/tex].

The equation of the line is [tex](y-y_{1} )=m(x-x_{1} )[/tex]

⇒(y-3)=4(x-0)

⇒y-3=4x

⇒4x-y+3=0

Therefore, the equation for the given coordinates (3,0) and (4,4) is 4x-y+3=0.

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Answer:

Azda has the best value: 4.56

Step-by-step explanation:

azda sells three products for 1.14, so twelve products would cost 4.56(1.14 * 4)

tisco sells four products for 1.56, so twelve products would cost 4.68(1.56*3)

azda has the best value

Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions

The given graph contains 2 straight lines. passing through the y- axis.

The graphed lines has np solution since they do not have any point of intersection on the place. They are known as parallel lines.

Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions

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Answer:

             x     +             6      ≥        15

Step-by-step explanation:

Add any number greater than equal to 9 to the number 6 and you get a result of at least 12. Any number less than 9 produces a result that is not at least 15.

Just saying the question was not that descriptive so I don't know if this is what you asked for... Sorry!

By evaluating in x = π/3, we conclude that the correct option is C.

By looking at the graph, we can see that the function becomes zero when:

x = π/3

Now, this is really trivial.

Just evaluate the four options in x = π/3, and see which ones become equal to zero, and discard the others.

By doing that, you will see that the only option that becomes zero when evaluated in x = π/3 is option C.

[tex]y = 3*sin(2(x - \frac{\pi}{3} ))[/tex]

Then we conclude that it is the only option that can be the correct one.

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The expression which equals 24 is (4 + 2) (3) . Option B

Given the following expression

Let's evaluate each of them. we have

(2 + 4)(3) = 6× 3 = 18

(4 x 2)(3) = 8 × 3 = 24

(4 - 2) + 3 (4 + 3) - 2 = 2 + 3(7) -2 = 2 + 21 - 2 = 23 -2 = 21

Thus, the expression which equals 24 is (4 + 2) (3) . Option B

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Answer:

B i think

Step-by-step explanation:

Answer:

B ∩ (A ∪ C)'

Step-by-step explanation:

It's the B part excluding A and C union. Hence,

(A ∪ C)' ∩ B

Answer:

The last one [tex](x=11.3, y=8)[/tex].

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

[tex]sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}[/tex]

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use [tex]sin()=\frac{opposite}{hypotenuse}[/tex].

[tex]sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31[/tex]

Find y.

Notice that, we can use the Pythagorean Theorem [tex](c^2=a^2+b^2)[/tex] to find y.

[tex]c^2=a^2+b^2[/tex]

[tex]11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99[/tex]

3) Round them off to the nearest tenth.

[tex]x=11.31\\x=11.3[/tex]

[tex]y=7.99\\y=8[/tex]

Therefore, the correct choice is the last one [tex](x=11.3, y=8)[/tex].