Graph the solution to this system of inequalities in the coordinate plane.

Answer:

6227020800

is mi answer

Answer:

x = 17

Step-by-step explanation:

1) Make the bases the same then rewrite.

4 = 2²

2^2(2x - 5) = 2^3x + 7

2) Since the bases are the same, set the exponents equal to each other.

2(2x -5) = 3x + 7

4x - 10 = 3x + 7

4x - 3x = 7 + 10

x = 17

The smallest number of bananas that can grow in a bunch is 126.

To calculate the least amount of bananas that can grow in a bunch, we must identify which are the smallest possibilities, in this case they are 14 fingers per hand and 9 hands per bunch.

According to the above, the least amount of bananas per bunch would be:

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The critical points are within rthe range 3<x<5

These are equations that has a leading degree of 2. Given the expression below.

x²-8x+15<0

Factorize

x²-3x-5x+15<0

Factor out the GCF

x(x-3)-5(x-3) <0

Group

(x-3)(x-5)<0

Find the solution

x < 3 and x <5

Hence the critical points are within rhe range 3<x<5

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Answer:

x = 15

Step-by-step explanation:

[tex]5x + 10 = 100 - x[/tex]

[tex]6x = 90[/tex]

[tex]x = 15[/tex]

The probability of picking a martian that has completed 4 years of high school or is a male is 72 / 85.

Probability determines the odds that a random event would happen. The odds of the event happening lie between 0 and 1.

The probability = (total number of people who have finished 4 years of high school / total number of martains) + (total number of males / total number of martains)

58 / 170 + 86/170 = 144 / 170 = 72 / 85

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Answer:

3.14 PIE

Step-by-step explanation:

Use Pie the method we all learned I think it’s 3.14

The three ratios that are equivalent to the given ratio are options B, C and E.

In order to determine the ratios that are equivalent to the given ratio, we would evaluate by dividing each of them by their respective denominator value:

(11:111:111)/1 = 11:111:111.

For choice A, we have:

1:111:111/11 = 1/11:111:111 (not equivalent).

For choice B, we have:

22:222:222/2 = 11:111:111. (equivalent).

For choice C, we have:

55:555:555/5 = 11:111:111. (equivalent).

For choice D, we have:

9:999:999/99 = 1/11:111:111 (not equivalent).

For choice E, we have:

110:1110:1110/10 = 11:111:111. (equivalent).

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Complete Question:

Select three ratios that are equivalent to 11:111:111, colon, 1. Choose 3 answers: Choose 3 answers: (Choice A) A 1:111:111, colon, 11 (Choice B) B 22:222:222, colon, 2 (Choice C) C 55:555:555, colon, 5 (Choice D) D 9:999:999, colon, 99 (Choice E) E 110:1110:1110, colon, 10.

The domain will be 0<x<6 and the range will be 0<y<72.

The information given implies that this would be a continuous relationship.

The process of elimination can be used to rule out the sets of numbers that are used in discrete relationships.

X is the amount of days that he was studying the plants.

The inequality is written like this for x: 0<x<6.

For the range, y is the plant food that was used which is 72 milliliters.

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Answer: 12 each

Step-by-step explanation: 72 divided by 6 = 12

The most convenient method to graph the line y=−13x+5 is C. Identify the slope and y-intercept and then graph.

From the information given, the equation has been given. It's important to identify the slope. This is the gradient of the line.

Also, the y intercept should be identified. Therefore, the most convenient method to graph the line y=−13x+5 is to identify the slope and y-intercept and then graph.

In conclusion, the correct option is C.

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Answer: 14.14

Step-by-step explanation:

Volume=(4/3)*π*r³

Given  d=3

as we know that d=2r

                            3/2=r

                            1.5=r

Volume=(4/3)*π*(1.5)³

Volume =14.14

Answer: 14

Step-by-step explanation:

By the geometric mean theorem,

[tex]\frac{n}{28}=\frac{7}{n}\\\\n^{2}=196\\\\n=\boxed{14}[/tex]

Answer: Arjun paid more than Anu of about $2000.

Total cost

unit amount × per unit cost

For Anu total cost:

⇒ 15 × $225

⇒ $3375

For Arjun total cost:

⇒ 25 × $215

⇒ $5375

Anu paid $3375 for each whereas Arjun paid $5375 for each.

Conclusion: Arjun paid more.

[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]

Solve the proportion. [tex]\bf{\dfrac{2}{x}=\dfrac{4}{34}[/tex].

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

We multiply 2 by 34, and x by 4 (this is known as cross multiplication)

[tex]\bf{2*34=4*x}[/tex] | simplify

[tex]\bf{68=4x}[/tex] | solve in terms of x

[tex]\bf{17=x}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{Result:}[/tex]

              [tex]\bf{17=x}[/tex]

Answer:

15.47 degrees

Step-by-step explanation:

The quotient of the division using the long division rule is 4x^2 - x + 3

Polynomial functions are functions that has a leading degree of 3 and above. Given the following parameters.

Dividend = 4x³+ 11x2 +9

Divisor = x + 3

Using the synthetic division to determine the quotient

        4x^2 - x + 3

x+3 | 4x³+ 11x2 +9

        4x³ + 12x²

__________________

               -x² + 0x

               -x² - 3x

___________________

                       3x+9

                       3x+9

___________________

                       -------

Hence the quotient of the division using the long division rule is 4x^2 - x + 3

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Answer:

Step-by-step explanation:

The given relations between numbers and prices can be used to write a system of equations for the number of each kind of ticket. One equation will describe ticket numbers; the other will describe ticket revenue.

Let x represent the number of adult tickets, and y the number of student tickets. The given relations can be written as the general-form equations ...

  8x -y -11 = 0 . . . . . . . . . ticket numbers

  5x +3y -895 = 0 . . . . . ticket revenue

The setup using general form equations lends itself to solution using the "cross multiplication method." Using this method, we define three numbers used in the solution:

  Δ = 8(3) -5(-1) = 24 +5 = 29

  Δx = -1(-895) -3(-11) = 895 +33 = 928

  Δy = -11(5) -(-895)(8) = -55 +7160 = 7105

And the solutions are ...

  x = Δx/Δ = 928/29 = 32

  y = Δy/Δ = 7105/29 = 245

32 adult tickets and 245 student tickets were sold.

__

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Considering the given histogram, we have that:

1. Chebyshev's Theorem.

2. At least 89%.

3. At least 75%.

When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

We can see from the histogram that the distribution is not normal, hence Chebyshev's Theorem can be used.

-15 and 105 are within 3 standard deviations of the mean, hence the percentage is of at least 89%.

As stated in the bullet points, at least 75% of the measures are within 2 standard deviations of the mean.

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Answer:

1) Finance is very important in a business as to meet the expenses from manufacturing a product to solding it capital is required. without finance one cannot run a business . even a small scale business requires some finance.

2) Business has a great impact in our economy. it increases the overall economy and contributes somewhere between 70 to 72% to the GDP.

Step-by-step explanation:

Length = 5 cm and Breadth = 3 cm

Area of a rectangle = length × breadth

=(5×3) cm

2

=15 cm

2

Hence, Area of rectangle with length 5 cm and breadth 3 cm is 15 cm

Answer:

d.) x = -40

Step-by-step explanation:

[tex]\sf Given \ equation: \ log_{5} (-3x+5) = 3[/tex]

Solving steps:

[tex]\rightarrow \sf log_{5} (-3x+5) = 3[/tex]

If logₐ(b) = c  then  b = aᶜ

[tex]\rightarrow \sf -3x+5 = 5^3[/tex]

[tex]\rightarrow \sf -3x+5 = 125[/tex]

[tex]\rightarrow \sf -3x = 125-5[/tex]

[tex]\rightarrow \sf -3x = 120[/tex]

[tex]\rightarrow \sf x = 120/-3[/tex]

[tex]\rightarrow \sf x = -40[/tex]

Answer:

x= -40

Hope this helps!!

The required mass of aquarium when it is half full of water is 10 kg.

Mass of the aquarium = 5kg
Length = 25 cm, width = 20 cm and height = 10 cm(when half filled)

Volume, is defined as the ratio of the mass of object to its density.

Since, density of the water = 1000 Kg/m³
Now Mass of the water = Volume x density
= 25/100 x 20/100 x 10/100 x 1000
= 0.005 x 1000
= 5 kg
Now, the total mass of the aquarium when half filed by water.
= mass of water + mass of aquarium
= 5 + 5
= 10 kg

Thus, the required mass of aquarium when it is half full of water is 10 kg.

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Answer:

4

Step-by-step explanation:

Answer:

60 Days.

Step-by-step explanation:

Alright. We're told that the elementary menu repeats every 20 days. All right. And the middle school repeats every 15 days. And today they're both serving pizza. It asks how long until they're both saving it serving pizza again. Alright. So we can kind of just write them out and say well, if it's every 20 days, it repeats. Well then in 20 days from now we're going to get pizza again. And then after that another 20 days, so 40 days and then after that another 60 days. Okay. And we're just adding 20 each time. Uh you know, to see when would we get pizza again at the elementary school? Well, we can do the same thing here with middle school. And when are they going to get pizza again? Well, in 15 days from now they would get pizza again and then another 15 days from that. So that's 30 And then 45 and then 60 and then 75 and so on. And the first time that they're going to repeat is well, this is the common factor that are the common multiple that they have, which is 60. This is really just a complicated way of asking what is the least common multiple of 20 and 15. Alright. And your answer is going to be 60. So it'll be 60 days until they serve the same pizza again.

Answer:

please see explanations

Step-by-step explanation:

For the first question,

3x + 4x + 2x = 180

9x = 180°

Dividing bothsides by 9

9x/9 = 180/9

x = 20

The measure of the interior angles are :

3x = 3(20) = 60

4x = 4( 20) = 80

2x = 2(20) = 40

For the second question,

Let's find x first.

x + 92 = 180

x = 180 - 92 = 88°

To find A note that:

A = 88° + 43°

A = 131°