What is the inverse operation of subtract 6?
O A. multiply by 6
O B. add 6
O C. subtract 6
O D. divide by 6

The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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Answer:

1/10

Step-by-step explanation:

1/2= 5/10 - make it an equivalent fraction with the same denominator as the other fraction.

3/5= 6/10

5/10-6/10- subtract

=1/10

The feasible region is the area below the line x+3y=9, below the line 3x+y=9, and to the right of the y-axis and the bottom of the x-axis.

What are the steps to make the graph for the feasible region?

To graph the feasible region, we first graph the boundary lines of the inequalities.

To graph the line x + 3y = 9, we can first find its intercepts by setting x = 0 and y = 0:

When x = 0,

3y = 9, so y = 3

When y = 0, x = 9

So the line passes through the points (0, 3) and (9, 0).

To graph the line 3x + y = 9, we can again find its intercepts:

When x = 0, y = 9

When y = 0,

3x = 9, so x = 3

So the line passes through the points (0, 9) and (3, 0).

Now we can shade the region that satisfies all the inequalities, which is the region below the line x + 3y = 9, below the line 3x + y = 9, and to the right of the y-axis and the bottom of the x-axis (since x and y must both be greater than or equal to 0).

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The number of students that bike to school is 18

The median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.

We should also know that the median is one of the measures of central tendency.

From the information given, we have that the data set representing the number of students is;

10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Then, we have that the median number is;

Median = 17 + 18/2

add the values

Median = 35/2

Divide the values

Median = 18 students

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Answer:

88.7 rounded and 88.66 not rounded

Answer:

9cm

Step-by-step explanation:if im wrong sorry

Answer:

3 1/11 as a mixnumber its 3/33

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

Step-by-step explanation:

c^2=28.2 + 42.1

SOLVE FOR A

A=logc (703/20), c ≠ 1 and C > 0

SOLVE FOR C

{ c = - (700/20) 1/a, A ≠ 0 and Numberator (A) bmod 2 = 0 and denominatior (A)bmod 2=1 SOOOOOOO a ≠ 0

The answer would be (C) 20.

Answer:

The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.

In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.

Option B, 12.5, is the correct answer.

Step-by-step explanation:

Answer:

hi the answer is elven twelths or 11/12

Step-by-step explanation:

first you multiply 1/8 x 2/3 which is 1/12 +5/6= 11/ 12. because you cant simplify it anymore

hope this help

The statement about a positive integer being expressed as the sum of the squares of 2 positive integers has been proved below.

For example;

a² + b² = c

where a, b and c are positive integers

If we use a = 2 and b = 4, we will have;

2² + 5² = c

c = 4 + 25

c = 29

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The factor of the expression 9t – 3u will be 3 and 3t – u.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of numbers and symbols and the procedures for using these symbols in formulae.

The expression is given below.

⇒ 9t – 3u

Simplify the expression, then we have

⇒ 3·3t – 3u

⇒ 3(3t – u)

The factor of the expression 9t – 3u will be 3 and 3t – u.

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If both printers work together. Then the number of the pamphlets will be 20x in four hours.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.

The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.

Let x be the number of the pamphlets are printed by the old printer in one hour.

Then the number of the pamphlets are printed by the new printer in one hour will be 4x.

Then if they work together, then the  number of the pamphlets in one hour will be 5x.

Then the number of the pamphlets in 4 hour will be

→ 5x × 4

→ 20x

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

B) 0.15 Pr (B)

Step-by-step explanation:

A is the event that a policyholder is classified as low-risk.

B is the event that a policyholder suffered a loss.

P(A∩B) is the probability that a low risk policyholder suffered a loss is 15%.

P(A∩B)= 15%= 15/100= 0.15

P(B∩A) is the  probability that a policyholder who suffered a loss is low-risk is = 5%= 5/100= 0.05

Intersection means finding those elements which are common to both sets. Now we have to find those elements of A which are common to B. This is already given in the statement above and is 15 %.

Hence

P(A∩B)= 15%= 15/100= 0.15

Choice B is the correct answer.

Answer:

The exponential function can be rewritten as:

f(x) = 48*e^(0.0198*x)

Here we start with the exponential function:

f(x) = 48*(1.02)^x

And we want to write this in the general form:

f(x) =a*e^(kx)

Notice that we can write the second form as:

f(x) = a*[e^k]^x

So, comparing this with the given exponential, we will get:

a = 48

e^k = 1.02

Apply the natural logarithm in both sides:

ln(e^k) = ln(1.02)

k*ln(e) = ln(1.02)

k = ln(1.02) = 0.0198

Then the exponential function is:

f(x) = 48*e^(0.0198*x)

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Answer:

x = -8

Step-by-step explanation:

-9x = 67+ 5

x = 72/-9

x = -8

Answer:

x=-8

Step-by-step explanation:

We want to find a polynomial

f(x) = a x³ + b x² + c x + d

such that the roots of f are x = -3, x = -1, and x = 4, and f(x) takes on a value of -24 when x = -2.

The factor theorem for polynomials tells us that we can factorize f(x) as

a x³ + b x² + c x + d = a (x + 3) (x + 1) (x - 4)

Expand the right side:

(x + 3) (x + 1) (x - 4) = x³ - 13x - 12

So we have

a x³ + b x² + c x + d = a x³ - 13a x - 12a

In order for both sides to be equal, the coefficients of both polynomials on terms of the same degree must be equal. This means

a = a (of course)

b = 0 (there is no x² term on the right)

c = -13a

d = -12a

We also have that f (-2) = -24, which means

f (-2) = a (-2 + 3) (-2 + 1) (-2 - 4)

-24 = 6a

a = -4

which in turn tells us that c = 52 and d = 48.

So we found

f(x) = -4x³ + 52x + 48

A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.

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Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Answer: 20

Step-by-step explanation:

if 4x4=16 then 16 divided by 2 =8 witch is diviseble by 20

The amount of fabric used to make the headband is 16.13 inches. The amount of fabric used to make the wristband is 9.64 inches.

In order to determine the amount of fabric used to make the accessories, the total inches used would be divided by the total number of people the accessory was made for.

The amount of fabric used to make headband for a player = total quantity of fabrics used / total number of people

677.46 / (38 + 4)

677.46 / 42

= 16.13 inches

The amount of fabric used to make wristband for a player = total quantity of fabrics used / total number of players

366.32 / 38 = 9.64 inches

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Answer:

correct answer is d. 0.50 per pound

explanation-

equation of line is y=mx+c

where c is the point where the line intersects y axis. (0,0) in this case.

and m is the slope, which we need to find.

from the graph, when x=2, y=1. putting in above equation

1=2m+0

implies m=0.5

Answer:

$. 50 per pound

Step-by-step explanation:

We need to find the slope

We have two points (0,0) and (2,1.00)

m = (1-0)/(2-0)

  =1/2

 =.50

$. 50 per pound

Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

Answer:

1.2 Cm.

Step-by-step explanation:

If you multiply these three fractions you get 1.2 Cm. Or in fraction from 6/5

Hope this helped. Please correct me if I am wrong