how do you solve
18x-81 divided by 9 ?

Answer:

[tex]27\leq x \leq37[/tex]

Step-by-step explanation:

Let's arrange the numbers from least to greatest:

20, 25, 27, 28, 31, 32, 32, 38, 40, 40, 42, 48

The median is the "middle" number when arranged from least to greatest.

There are 12 numbers, so the middle number would be "average" of 6th and 7th terms.

6th term = 32

7th term = 32

Average = (32+32)/2 = 32

Hence, median = 32

Absolute deviation of 5 minutes means 5 minutes less or greater than the median, 32.

So, 32 - 5 = 27  &  32 + 5 = 37

Hence  [tex]27\leq x \leq37[/tex]

To find the inequality range for race times, we must first arrange the times and find the median, which is 32 minutes. The desired race time with an absolute deviation of at most 5 minutes from the median results in the inequality 27 ≤ x ≤ 37.

Explanation:

To solve this problem, we need to arrange the given race times in order and find the median. Once we find the median, we can set up an inequality that represents a race time within 5 minutes more or less than this median time.

First, we arrange the race times in ascending order: 20, 31, 27, 32, 25, 42, 48, 28, 40, 38, 32. After putting them in the proper order (20, 25, 27, 28, 31, 32, 32, 38, 40, 42, 48), we find that the median, which is the middle value, is 32 minutes since there are 11 times, and the 6th time is the median.

Next, we want to have a race time with an absolute deviation of at most 5 minutes from the median (32 minutes). This gives us the inequality 27 ≤ x ≤ 37. So, the time you hope to achieve in the race is between 27 and 37 minutes.

Answer:

C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Step-by-step explanation:

The center of insribed circle into the triangle is the point where the angle bisectors of the triangle meet.

The center of circumsribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.

Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides, so the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle. Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Answer:

c

Step-by-step explanation:

Answer:

7000

Step-by-step explanation:

Answer:

B

In a function, f(x), there are two parts:

x: the input value

f: the output value

Answer:

1.20 off dog food

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The coupon that can be doubled is $1.25. The correct option is B.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given that the supermarket is advertising double coupons up to $1.25. Therefore, every coupon that has a value less than or equal to $1.25 will be doubled. Therefore, we can write the inequalities as,

x ≤ $1.25

Now, if we look at the given options then the only option that is less than $1.25 is the coupon for dog food.

1.20 < 1.25

Hence, the coupon that can be doubled is $1.25.

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Answer:

The width is 3.3 meters

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W. L is 4.5.

P = 2L + 2W

15.6 = 4.5 * 2 + 2W

15.6 = 9 + 2W

6.6 = 2W

3.3 = W

Answer:

Angles B and C are 70 degrees.

Step-by-step explanation:

The sum of three angles of a triangle is 180 degrees.

Of these angle A in triangle ABC is given as 40 degrees.

Another input is that the triangle is isosceles. This means that AB=AC or in other words, angle B and angle C are equal.

Let the angle B or angle C be represented as x degrees.

Representing this in equation format:

A + B + C = 180

=> 40 + x + x = 180

=> 2x = 180 - 40 = 140

=> x = 140/2 = 70

So both the angles B and C are 70 degrees.

If triangle ABC is isosceles, then angles B and C both measure 70°.

We have,

In an isosceles triangle, two angles are congruent (they have the same measure). If angle A is 40°, and triangle ABC is isosceles, then angles B and C must each measure:

B = C = (180° - 40°) / 2

= 140° / 2

= 70°

So, if triangle ABC is isosceles, both angles B and C would measure 70°.

Thus,

If triangle ABC is isosceles, then angles B and C both measure 70°.

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Answer:

300 more miles

Step-by-step explanation:

because its easy NO OFFENSE SERIOULSY

Answer:

A. 35%

Step-by-step explanation:

You can write 42 of 120 as a fraction ---> 42/120

If you simplify you get 7/20.

7/20 can also be written as 35/100, so the percentage would be 35%.

Answer:

A. 35% BRAINLIEST WOULD BE APPRECIATED!

Step-by-step explanation:

Do guess and check. Start with A.

120*0.35=42 ~ that works! check the others to be sure.

120*0.286=34.272 ~ nope!

120*0.042=don't even need to do it, unreasonable.

120*.33=39.6 ~ nope!

Answer:

[tex]103\ notebooks[/tex]

Step-by-step explanation:

The question in English is

Martha spent $60 to buy the same notebooks if each notebook had cost $2 plus Martha would have bought 80 fewer notebooks for the same $60. How many notebooks did Martha buy?

Let

x -----> the cost of each notebook

n -----> number of notebooks that Marta bought  

we know that

[tex]nx=60[/tex] -----> [tex]n=\frac{60}{x}[/tex] -----> equation A  

[tex](n-80)(x+2)=60\\\\nx+2n-80x-160=60\\\\n(x+2)-80x=220 ---> equation\ B[/tex]

substitute equation A in equation B and solve for x

[tex]\frac{60}{x}(x+2)-80x=220[/tex]

Multiply by x both sides to remove the fraction

[tex]60(x+2)-80x^2=220x[/tex]

[tex]60x+120-80x^2=220x[/tex]

[tex]-80x^2-160x+120=0[/tex]

Using a graphing tool

Solve the quadratic equation

The solution is

x=$0.581

see the attached figure

Find the value of n

[tex]n=\frac{60}{0.581}=103\ notebooks[/tex]

Answer: It is irrational because it cannot be written as a ratio of two integers. It is not a perfect square

Step-by-step explanation:

Answer:

8 3/8

Step-by-step explanation:

Answer:

8.375 or  8 3/8

Answer:

8,953

Step-by-step explanation:

line up 7,909 and 1,044 like this :

7,909

+ 1,044

then add everything

Using the addition algorithm, first you align the numbers by place value, then starting from the rightmost position, you add each place numbers together. Accordingly, 7909 + 1044 equals 8953.

The process of adding two numbers using the additon algorithm begins with lining up the numbers by their place values. Starting from the rightmost digit, which is the one's place, you add the numbers in each corresponding place together.

In this case, Adding 7909 and 1044:

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Answer:

The vector direction is 83.0° relative to the positive x-axis

Step-by-step explanation:

* Lets explain how to find the direction of a vector

- A vector is a quantity which has both magnitude and direction

- The vector has two components x-component and y-component

- The x-component = v cos Ф , and the y-component = v sin Ф,

  where Ф is the angle between the vector and the positive part

  of the x-axis

- The magnitude of the vector = [tex]\sqrt{x^{2}+y^{2}}[/tex]

- The direction of the vector = [tex]tan^{-1}(\frac{y}{x})[/tex]

* Lets solve the problem

∵ x-component of the vector = 0.15

∵ y-component of the vector = 1.22

- Both x-component and y-component are positive

∴ Ф will be between 0° and 90°

∵ The direction of the vector = [tex]tan^{-1}(\frac{y}{x})[/tex]

∴ The direction of the vector = [tex]tan^{-1}(\frac{1.22}{0.15})[/tex]

∴ The direction of the vector = 83.0°

* The vector direction is 83.0° relative to the positive x-axis

Answer:

4x4x8x2

256

Step-by-step explanation:

Answer:

Dave has been introduced to a new phone service. They charge a monthly fee of $5 and each phone call made out of country is $8. How much phone calls did Dave made out of country if his bill this month was 37?

The equation represents a membership of a gym, where there is a $5 charge for membership and a per month charge of $8 and x represents the number of months when the total charge becomes $37.

To imply the given equation 8x + 5 = 37 in the rel life scenario.

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,
Equation 8x + 5 = 37
Let's assume that, we are in the gym and the membership charge of the gym is 5$ and after months the charge becomes $37
And gym charges $8 per month after membership where x represents the number of months when the charge becomes $37.

Thus, the way the equation is implemented in the real-life scenario is shown above.

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10x = 4(2x -9)

10x = 8x - 36

10x - 8x = -36 - 8x

2x = -36

2x ÷ 2 = -36 ÷ 2

x = -18

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Answer is 20

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Let

c-----> the number of cola bottles that Dan picks

s ----> the number of smarties that Dan picks

m ---> the number of marshmallows that Dan picks

we know that

c=3s ----> equation A

m=2s ---> equation B

we know that

To find out the proportion of the bag of sweets that are smarties, divide the number of smarties by the total of sweets

The total of sweets is equal to

(c+s+m)

substitute equation A and equation B in the total of sweets

(3s+s+2s) =6s

Find the proportion

s/6s

Simplify

1/6

The proportion of smarties in Dan's bag of sweets, in its simplest form, is 1/6.

To solve the question about what proportion of the bag of sweets are smarties, let's assume Dan picks x number of smarties. Following the information provided, he picks 3 times as many cola bottles as smarties, which is 3x, and twice as many marshmallows as smarties, which is 2x. The total number of sweets in the bag is the sum of smarties, cola bottles, and marshmallows, which amounts to x + 3x + 2x = 6x. The proportion of smarties in the bag is the number of smarties divided by the total number of sweets, so we get:

Proportion of smarties = Number of smarties / Total number of sweets = x / 6x = 1/6.

The proportion of smarties in the simplest form is 1/6.

Hey!

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

Solution:

2x - 3|x + 1| = -2x - 11​

2x - 3|x + 1| + (-2x) = -2x - 11​ + (-2x)

-3|x + 1| = -4x - 11

-3|x + 1|/-3 = -4x - 11/-3

|x + 1| = 4/3x + 11/3

x + 1 = -(4/3x + 11/3)

x + 1 + 4/3x = 4/3 + -11/3 + 4/3x

7/3x + 1 = -11/3

7/3x + 1 - 1 = -11/3 - 1

7/3x = -14/3

7/3x * 3/7 = -14/3 * 3/7

x = -2

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

Check:

2(-2) - 3|-2 + 1| = -2(-2) - 11

(-4) - 3|-1| = (4) - 11

(-4) - 3 = (4) - 11

-7 = -7

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

Answer:

x = -2

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

Hope This Helped! Good Luck!

Answer:

29° and 61°

Step-by-step explanation:

Complementary angles sum to 90°

let one angle be x then the other angles = 2x + 3

Sum the angles and equate to 90

x + 2x + 3 = 90, that is

3x + 3 = 90 ( subtract 3 from both sides )

3x = 87 ( divide both sides by 3 )

x = 29

and 2x + 3 = (2 × 29) + 3 = 58 + 3 = 61

The two angles are 29° and 61°

Answer:

A. -1⅕

Step-by-step explanation:

[tex]-4\frac{4}{5}\div 4 = -4,8\div 4 = -1,2 = -1 \frac{1}{5} [/tex]

I am joyous to assist you anytime.

F(x)=5x+1

g(x)= 2x+15

5x+1=F(x)

Xx2=(5+1)

x=6x2

x=12

Fx= F12

Answer: 4.5 would be closer

Step-by-step explanation: 4.4x4.4 is 19.36 which is about 64 points away and 4.5x4.5 is 20.25 which is 25 points away

Answer:

4.5

Step-by-step explanation:

Nearest of square root of 20

[tex]\sqrt{20}[/tex]

To choose closer from two numbers 4.4 or 4.5

First we find the square of both number.

Square of 4.4

[tex]4.4^2 = 19.36[/tex]

Square of 4.5

[tex]4.5^2=20.25[/tex]

Now compare the closer number from 20

Difference of,  20.25 - 20 = 0.25

Difference of, 20-19.36 = 0.64

As we know, 0.25<0.64

Hence, On number line square root closer to 4.5

Answer:

Variance = 25

Step-by-step explanation:

Standard deviation is the under root of variance.

Variance is the square of standard deviation.

Data:

Mean = 70

Variance = ?

Standard deviation = √variance = 5

Variance = 5²

Variance = 25.

Therefore, the variance is 25.

Final answer:

The variance of the monthly discretionary expenses on meals out with friends is 25 dollars squared.

Explanation:

To find the variance of Janine's data on the spending habits of students for meals out with friends, you'll use the squared value of the standard deviation.

Since Janine found the standard deviation to be five dollars, you simply need to square this number to find the variance.

Step-by-step Calculation:

The variance of the distribution of monthly discretionary expenses on meals out is 25 dollars squared.

Mrs. Zhang's is 1/10 the size of Mrs. Acquino's.

Since you know Mrs Zhang's, divide the amount she has by the fraction of hers.

48,000 / 1/10

When you divide by a fraction, reverse the fraction and multiply:

48,000 x 10/1 =

48000 x 10 = 480,000 bees.

To estimate Mrs. Aquino's bee population, multiply Mrs. Zhang's bee population, which is 48,000, by 10. Mrs. Acquino has approximately 480,000 bees on her farm.

Since Mrs. Zhang’s bee population is 48,000 and her farm is said to be 1 tenth as large as Mrs. Acquino’s, to find the population of Mrs. Aquino's bees, we need to multiply Mrs. Zhang’s bee population by 10. Performing the calculation:

48,000 × 10 = 480,000

So, Mrs. Aquino's bee farm has approximately 480,000 bees.