what is the solution of the system?
[tex]y = 2x - 4 \\ 3x - 2y = 8[/tex]
​

Answer:

1980°

152.3°

3780°

164.35°

180°

360°

Step-by-step explanation:

The sum of all the interior angles of a polygon  is given by (n - 2)180° where n is the number of sides.

So, the sum of all interior angles of a 13-gon is (13 - 2) 180° = 1980° (Answer)

As the 13-gon is regular, so each angles will be same. Assume each angle is x°.

So, 13x = 1980, ⇒ x = 152.3° (Answer)

Now, the sum of all interior angles for a 23-gon will be (23 - 2) 180° = 3780° (Answer)

Again,as the 23-gon is regular, so each angles will be same. Assume each angle is x°.

So, 23x = 3780, ⇒ x = 164.35° (Answer)

The sum of all the interior angles of a triangle is 180° (Answer)

The sum of all the interior angles of a quadrilateral is 360° (Answer)

The similarity between a square and a rhombus is all the sides of both are same and the difference, between a square and a rhombus is that a square has every angle 90°, but the rhombus has no angle equal to 90°. (Answer)

Answer:

[tex]5^{10}+8^3[/tex]

[tex]5^{10}=9765625[/tex]

[tex]8^3=512[/tex]

[tex]=9765625+512[/tex]

[tex]=9766137[/tex]

OAmalOHopeO

Answer:

3/8, 1/2, 3/4.

Step-by-step explanation:

Now I believe this is asking to set the fractions from least to greatest, but ignore this if im wrong. If so, the answer would be 3/8, 1/2, 3/4. 3/8 is less than 4/8, which is the halfway point for the 8ths, 1/2 is half of a whole, and 3/4 is more than 2/4, the half for 4ths.

The length of playing field is 58.9 feet

Solution:

Given that, the diagonal length of a rectangular playing field is 76 feet,  

And its width is 48 feet.  

To find: length of playing field

Now, we know that, diagonal, width and length of a rectangle will form an right angle triangle with diagonal as hypotenuse.

So, now, in a right angled triangle  we can use pythagorean theorem to find the length

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, In a right angled triangle ABC we get

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

Where "c" is the length of hypotenuse

"a" is the length of one leg of right angled triangle

"b" is the length of other leg of right angled triangle

[tex]\begin{array}{l}{\text {Then, diagonal = width }^{2}+\text { length }^{2}} \\\\ {76^{2}=48^{2}+\text {length }^{2}} \\\\ {\text {Length }^{2}=76^{2}-48^{2}} \\\\ {\text {Length }^{2}=5776-2304}\end{array}[/tex]

[tex]\begin{array}{l}{\text { Length }^{2}=3472} \\\\ {\text { Length }=\sqrt{3472}} \\\\ {\text { Length }=58.92}\end{array}[/tex]

Hence, the length of the rectangular field is 58.9 feet

Answer:The answer is 3,472

Step-by-step explanation:

I GOT THIS CORRECT TRUST ME!! :)

Answer: the answer is 40

Answer:

c

Step-by-step explanation:

Answer: =28r−27

Step-by-step explanation:

Answer:

= 25r - 32-r

Step-by-step explanation:

5(1+4r)-8(4-r)

= 5 x 5r - 32-r

= 25r - 32-r

If r was 2, (example),

= 25 x 2 - 32 - 2

= 50 - 30

= 20

Answer:

For the first question [tex]x = 4\\ y = -1[/tex] and

For the second question [tex]x = 0.5\\ y = -1[/tex]

Step-by-step explanation:

Given:

1.

x - 3y = 7

3x + 3y = 9

2.

8x+ 3y = 1

4x + 2y = 0

Elimination method :

In the elimination method we need to make the coefficient of x or the coefficient of y same in both the equation so by adding or subtracting we can eliminate the x term or the y term.

Then substitute that values which you will get on eliminating in any equation you will get the corresponding value.

For the first question, the y coefficient is same hence by adding both the equation we can eliminate 3y term. so on solving we get

[tex](x - 3y) + (3x + 3y) = 7 + 9\\4x = 16\\x = \frac{16}{4}\\x = 4[/tex]

Now substitute X equal to 4 in equation x -3y = 7 we get

[tex]4 - 3y = 7\\-3y = 7 - 4\\-3y = 3\\y = \frac{3}{-3}\\ y = -1\\[/tex]

This way we have x is equal to 4 and y is equal to -1  for question number 1.

For the second question, we will make X coefficient same in the second equation that is multiplying by 2 to the equation 4x + 2y = 0 then we get

[tex]8x + 4y = 0\\[/tex]

Now the coefficient of x term become same now we will subtract the two equations that is 8x + 3y = 1 and 8x + 4y =0 we get

[tex](8x + 3y) - (8x + 4y) = 1 - 0\\3y - 4y = 1\\ -y = 1\\y = -1[/tex]

Now substitute y equal to -1 in equation 8x +3y = 1 we get

[tex]8x + 3\times -1 = 1\\8x - 3 = 1\\8x = 1 + 3\\8x = 4\\x = \frac{4}{8}\\ x = 0.5\\[/tex]

This way we have x is equal to 0.5 and y is equal to -1  for question number 2.

28 tablets will be required for course of therapy.

One tablet is of 400-mg and prescription is for 200 mg for every 6 hours for 14 days. total number of tablets to be find out.

Arithmetic operation are Addition, subtraction, division, and multiply in order to achieve mathematical solution of the statement.

Here, tablet for a day = 200-mg/400-mg x 24 hr/6 hr
                                    =  1/2 x 4
                                    = 2 Tablets a day
Now, for number of tablets for 14 days course,
= 14 x 2
=  28 Tables in 14 days

Thus, 28 tablets will be required for course of therapy.

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Answer:

I guess the question is when her hair will be almost 16cm long.

So she needs to grow hair almost 12 cm of hair. Because 16-4=12

To grow 12cm hair she needs 8 months (12/1.5=8)

So Svetlana needs to cut her hair before 8th month.

Answer:

- 4 h ≥ - 80

Step-by-step explanation:

The temperature of the metal is 0°C and the gets to no colder than - 80°C.

If the temperature is decreasing at the rate of - 4°C per hour, then the temperature after h hours will be t = 0 + (- 4) h which will not be less than - 80°C.

So the inequality that models the situation is 0 + (- 4) h ≥ - 80

⇒ - 4 h ≥ - 80 (Answer)

Final answer:

The inequality to ensure that the temperature of the metal does not fall below -80°C as it drops steadily at -4°C/hour is 0 - 4h ">= -80. This represents the highest number of hours (h) the physicist can allow before the temperature reaches the limit.

Explanation:

The student has asked to write an inequality based on a physicist's experiment where a metal's temperature decreases at a steady rate of -4°C per hour and should not get colder than -80°C. Starting at 0°C, the relationship between time (in hours) and temperature can be represented mathematically.

To express this as an inequality, we can set up a relationship where the temperature (t) after a certain number of hours (h) is no less than -80°C. Since the temperature is decreasing at -4°C per hour, we can write the inequality as:

t ≥ -80

Where t = 0 + (-4 × h), and h represents the number of hours passed.

Substituting the expression for t into the inequality:

0 - 4h ≥ -80

This inequality tells us that regardless of how many hours go by at this rate, the temperature of the metal should remain higher than -80°C.

Answer:

7x-8y+11z

Step-by-step explanation:

Because this is the only one that doesn't have an equal sign. Therefore, this is an example of an expression, not a equation. All of the other answer choices have an equal sign, they're equations.

Answer:

Yes.

Step-by-step explanation:

21/25=84/100=84%

Answer:

Yes

Step-by-step explanation:

If you got all off it that means you have 100 and to make it more simpler you are removing 4 points for every question that you failed so if you got 21 questions right then you have 84%

Answer:

The number of students who actually went for the skiing is 0.75 times the total number of students .

Step-by-step explanation:

Given as :

Students were surveyed about their wither break plans

The percentage of students who did not go for skiing = 25 %

So, The percentage of students who did not go for skiing =100 % - 25 % = 75%

Let The total number of students = x

So, The number of students actually went for the skiing = 75% of the total number of students

I.e The number of students actually went for the skiing = [tex]\frac{75}{100}[/tex]× x

Or, The number of students actually went for the skiing = 0.75× x

∴ The number of students actually went for the skiing = 0.75 x

Hence The number of students who actually went for the skiing is 0.75 times the total number of students . Answer

Answer:

92%

Step-by-step explanation:

there are 4 cards of "7"

52-4=48

48÷52×100=92.307...%

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ----> the number of horses

y ---> the number of sheep

In this problem the relationship between the variables, x, and y, represent a proportional variation.

Remember that, if the linear equation represent a proportional variation then it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

we have

For x=1, y=3

Find the value of the constant of proportionality k

[tex]k=\frac{3}{1}=3\ \frac{sheeps}{horse}[/tex]

substitute

[tex]y=3x[/tex]

using a graph tool

The graph in the attached figure

Answer:

e-1/25

Step-by-step explanation:

Answer:

[tex]135\pi\ ft^3[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder (concrete column) is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=3\ ft\\h=15\ ft[/tex]

substitute

[tex]V=\pi (3)^{2}(15)[/tex]

[tex]V=135\pi\ ft^3[/tex]

Answer:

18

Step-by-step explanation:

To find this we must divide 45 by 20 which gives the answer of 2.25. As we know this we now must multiply that by 8 resulting in to 18.

Therefore the answer is 18

Answer:

1. 5417.412

2. 401.13

Step-by-step explanation:

1. First, rewrite

[tex]5\times 10^3+4\times 10^2+1\times 10^1+7\times 10^0+4\times \dfrac{1}{10^1}+1\times \dfrac{1}{10^2}+2\times \dfrac{1}{10^3}[/tex]

as

[tex]5\times 1000+4\times 100+1\times 10+7\times 1+4\times 0.1+1\times 0.01+2\times 0.001[/tex]

So, this is

[tex]5000+400+10+7+0.4+0.01+0.002\\ \\=5417.412[/tex]

2. First, rewrite

[tex]4\times 10^2+1\times 1 \dfrac{1}{10^1}+3\times \dfrac{1}{10^2}[/tex]

as

[tex]4\times 10^2+1\times 1 +1\times \dfrac{1}{10^1}+3\times \dfrac{1}{10^2}[/tex]

This is

[tex]4\times 100+1\times 1+1\times 0.1+3\times 0.01[/tex]

So, this is

[tex]400+1+0.1+0.03\\ \\=401.13[/tex]

The value of [tex]2 \times(7 \times 1)[/tex] is -80

Given that x y is a real number

Also given that [tex]x \times y = x(x - y)[/tex]

We are asked to find the value of [tex]2 \times (7 \times 1)[/tex]

To solve it we have to first solve terms in brackets.

[tex]\begin{array}{l}{\text {So, } 7 \times 1=7(7-1) \quad[\text {from given rule }]} \\\\ {\rightarrow 7 \times 1=7 \times 6} \\\\ {\rightarrow 7 \times 1=42} \\\\ {\text {Now, the required expression is modified as } 2 \times 42} \\\\ {\text {Then, } 2 \times 42=2(2-42)=2(-40)=-80} \\\\ {\text {Hence, the value of } 2 \times(7 \times 1)=-80}\end{array}[/tex]

Answer:

13. ft per minute is 150. ft per hour is 9,000.

work:

14. x ÷ y = feet per minute.

it is this because the time divided by the depth will equal the time that it took.

15. it would be more reasonable to use feet by minute, because of the accuracy of the answers. with measuring it using feet per hour, your answers will be less precise.

16. the distance will double because the proportional relationship says that the distance is 3 km away if thunder is 9 secs apart from lightning.

will answer next question later

Answer: 10.22

Step-by-step explanation:

Standard Deviation = square root of variance 104.44 = 10.22

Final answer:

To find the standard deviation from the variance of 104.4, you take the square root of the variance, resulting in a standard deviation of approximately 10.22.

Explanation:

If the variance for a data set is 104.4, to find the standard deviation, you take the square root of the variance. The formula to calculate the standard deviation (s) from the variance (σ²) is:

s = √σ²

Applying this formula, the standard deviation would be s = √104.4. Using a calculator, you would get:

s ≈ 10.22

Thus, the standard deviation for the data set with a variance of 104.4 is approximately 10.22.

good morning,

Answer:

10×(1-0.2ⁿ)

Step-by-step explanation:

1.6/8=0.2

0.32/1.6=0.2

0.064/0.32=0.2

let S represent the sum of n term then S=8×[(1-0.2ⁿ)/(1-0.2)] = 10×(1-0.2ⁿ).

:)

Final answer:

To find the sum of a geometric series, use the formula for the partial sum by identifying the first term and common ratio.

Explanation:

A geometric series is represented by the formula a + ax + ax² + ax³ + ... with a as the first term and x as the common ratio. The sum of the first N terms of a geometric series can be found using the formula of the partial sum.

In the given series 8+1.6+0.32+0.064+..., the first term a = 8 and the common ratio x = 0.2. To find the sum, you can use the formula for the sum of a geometric series: S = a / (1 - x).

Substitute a = 8, x = 0.2 into the sum formula: S = 8 / (1 - 0.2) = 8 / 0.8 = 10. Therefore, the sum of the given geometric series is 10.

Answer:

the year 2010

Step-by-step explanation:

since the end of high school is 12th grade, you have to numbers. 12, and 5.

subtract 5 from 12 and you get seven. subtract seven from 2017, and you get 2010

You were in 5th grade in the year 2010.

To determine what year you were in 5th grade, you can subtract 7 from the year you graduated high school. In this case, if you graduated in 2017, you subtract 7to get 2010. Therefore, you were in 5th grade in the year 2010.

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Answer:

2750

Step-by-step explanation:

As there are 11 players on the field, each averaging 250 pounds, this means that we can add 250 11 times, 1 for each player. Another way to say this would be to multiply 250 and 11, as we are adding 250 11 times. Our answer is then 250*11 = 2750.

Answer:

The width of rectangle is 1 unit.

Step-by-step explanation:

Given:

The area of rectangle is 6 units and its width is 5 units less than the length.

So, to find the width of rectangle.

Let the length be [tex]x[/tex] and the width be [tex]x-5[/tex].

Now, to find the width we put the formula of area of rectangle:

Area = length × width

[tex]6= x\times (x-5)[/tex]

[tex]6=x^{2}-5x[/tex]

[tex]0=x^{2}-5x-6[/tex]

[tex]0=x^{2}-6x+x-6[/tex]

[tex]0=x(x-6)+1(x-6)[/tex]

[tex]0=(x-6)(x+1)[/tex]

On solving equation we get:

[tex]x-6=0, x+1=0[/tex]

Therefore, we take the value x=6 as it is positive value:

[tex]x-6=0[/tex]

[tex]x=6[/tex]

So, the width of rectangle:

Width = [tex]x-5[/tex]

          = [tex]6-5[/tex]

          = [tex]1[/tex]

Therefore, the width of rectangle is 1 unit.

Answer:

Your answer would be 33.7619047619

Step-by-step explanation:

Answer:

-33

Step-by-step explanation:

x-6b when b=5 and x=-3

-3-6(5)=-3-30=-33

There are 165 different subcommittees possible.

To calculate the number of different subcommittees possible, we can use the combination formula. The number of different subcommittees is equal to the number of ways to choose 3 members out of 11. This can be calculated using the formula C(n, r) = n! / (r! (n - r)!), where n is the total number of members and r is the number of members in the subcommittee.

Plugging in the values, we have C(11, 3) = 11! / (3! (11 - 3)!) = 165. Therefore, there are 165 different subcommittees possible.

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