An angle measures 60° more than the measure of its complementary angle. What is the measure of each angle?

Let x = 1.4888... .

Then 10x = 14.888... and 100x = 148.888..., so that

100x - 10x = 148.888... - 14.888...

90x = 147

x = 147/90 = 49/30

The number of families buying newspaper A only is 390, The number of families buying none of the newspapers A, B, C is 200, The number of families buying at least one of the newspapers is 800.

To solve this problem, we can use the principle of inclusion-exclusion.

(i) Number of families which buy newspaper A only:

The percentage of families buying newspaper A only is given by:

40% - (5% + 4% - 2%) = 39%.

So, the number of families buying newspaper A only is 39% of 1000 families:

0.39 * 1000 = 390 families.

(ii) Number of families which buy none of the newspapers A, B, C:

The percentage of families buying none of the newspapers is given by: 100% - (40% + 20% + 10% - 5% - 3% - 4% + 2%) = 20%.

So, the number of families buying none of the newspapers is 20% of 1000 families:

0.20 * 1000 = 200 families.

(iii) Number of families which buy at least one of the newspapers:

The percentage of families buying at least one of the newspapers is given by 100% - percentage of families buying none of the newspapers.

So, the number of families buying at least one of the newspapers is

1000 - 200 = 800 families.

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Answer

6480

selling price - discount

7200 - 10%

6480

Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

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Problem 1

height of flagpole = meters (SI), feet (imperial)

area of walls = square meters (SI), square feet (imperial)

amount of water = liters (SI), gallons (imperial)

volume of grocery bag = liters (SI), gallons (imperial)

-----------

There's not much explanation here. It's simply something you memorize.

======================================================

Problem 2

1 ft = 12 inches

5 ft = 60 inches .... multiply both sides by 5

5 ft, 10 in = 60+10 = 70 inches

To convert from inches to cm, we multiply by 2.54 (approx)

70 in = 70*2.54 = 177.8

Shane is roughly 178 cm tall

======================================================

Problem 3

1 km = 1000 m

0.65 km = 650 m .... multiply both sides by 0.65

1 m = 100 cm

650 m = 65000 cm ... multiply both sides by 650

We can see that 0.65 km is the same as 65000 cm

======================================================

Problem 4

1 pound = 16 ounces

Based on this, we divide by 16 to go from ounces to pounds

50 oz = 50/16 = 3.125 pounds

The equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

To find rs and st, we need to write an equation in terms of x using the given information and then solve for x.

Let's suppose that rs and st are two line segments, and x represents the length of rs. To find the lengths of rs and st, we can set up an equation based on the given information.

From the problem, we know that the length of st is three times the length of rs. This can be expressed as:

st = 3 * rs

Additionally, the total length of rs and st is 32 units. Mathematically, this can be represented as:

rs + st = 32

Now, we can substitute the value of st from the first equation into the second equation:

rs + 3 * rs = 32

Simplifying this equation, we have:

4 * rs = 32

To solve for rs, we divide both sides of the equation by 4:

rs = 32 / 4

rs = 8

Hence, we have found that rs is equal to 8 units.

To find the length of st, we can substitute the value of rs into the first equation:

st = 3 * rs

st = 3 * 8

st = 24

Therefore, the length of st is 24 units.

In summary, the equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

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Answer:

what does it say

Step-by-step explanation:

Answer:

x = 2/3

Step-by-step explanation:

Since the two bottom angles add up to be congruent to the top angle, this is true:

5x - 8 + 28 = 11x + 16

Solve

20 = 6x + 16

4 = 6x

x = 2/3

Answer:

x=1

Step-by-step explanation:

if the zeroes are (-2,0) and (4,0), then the axis of symetry is going to be right in the middle of those two, with the graph reflected equally on either side.

so you get:

(4-2)÷2=1

therefore the equation of the axis of symetry is x=1

Answer:

Step-by-step explanation:

Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.

From the hypothesis, we have:

m∠QRS =(10x−12)∘(10x−12)

m∠PQR = (3x+20)∘(3x+20)

m∠RPQ=(3x−8)∘(3x−8)

Using the first equation and replacing the hypothesis:

m∠QRS = m∠PQR + m∠RPQ

(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)

Multiplying and applying the remarkable identity:

Then, we use a calculator to find the roots, which are:

In this case, we will see what root is the right one.

Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.

m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

if you are doing deltamath

In a net of a solid, the number of faces meeting at each vertex can be determined by examining the net and counting the number of lines that meet at each vertex. Each line corresponds to an edge of a face, so the number of lines meeting at a vertex is equal to the number of faces meeting at that vertex.

For example, if we consider a cube net, we can see that three faces meet at each vertex. Therefore, a cube has three faces meeting at each vertex.

Similarly, for other solids, we can count the number of faces meeting at each vertex by examining the net. For example, for a regular tetrahedron, four faces meet at each vertex; for a regular octahedron, four faces meet at each vertex; for a regular dodecahedron, three faces meet at each vertex; and for a regular icosahedron, five faces meet at each vertex.

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Answer:

50/3

Step-by-step explanation:

For x

3x-2(2+1)=4

3x-2(3)=4

3x-6=4

3x=4+6

3x=10

x=10/3

 as we have to find 5x=?

    5(10/3)

50/3

The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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The dimensions of the paper are 9 by 5 inches

Let x represent the length and y, the width

The given parameters are:

Perimeter, P = 28

Area, A = 45

So, we have

P = 2(x + y) = 28

A = xy = 45

Rewrite as:

2(x + y) = 28

xy = 45

By trial by error, we have:

x = 9 and y = 5

This can be proved as follows:

2(9 + 5) = 28--- true

9 * 5 = 45 --- true

Hence, the dimensions of the paper are 9 by 5 inches

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Answer:

The solution is (\(\frac{7}{12}\) , \(\frac{67}{6}\))

Step-by-step explanation:

∵ y = 14x + 3 ⇒ (1)

∵ y = 2x + 10 ⇒ (2)

→ Equate equations (1) and (2) to find x

∵ 14x + 3 = 2x + 10

→ Subtract 2x from both sides

∴ 14x - 2x + 3 = 2x - 2x + 10

∴ 12x + 3 = 10

→ Subtract 3 from both sides

∴ 12x + 3 - 3 = 10 - 3

∴ 12x = 7

→ Divide both sides by 12 to find x

∵ \(\frac{12x}{12}\) \(\frac{7}{12}\)

∴ x = \(\frac{7}{12}\)

→ Substitute the value of x in equation (1) or (2) to find y

∵ y = 2(\(\frac{7}{12}\)) + 10

∴ y = \(\frac{7}{6}\) + 10

∴ y = \(\frac{67}{6}\)

∴ The solution is (\(\frac{7}{12}\) , \(\frac{67}{6}\))

The rules and the sequence are aₙ = aₙ₋₁ - 2, aₙ = -aₙ₋₁ and -3, -5 and -7 & 1, -1 and 1

The sequence is given as

1, -1

Assume the sequence is an arithmetic sequence, then we have

Common difference, d = -1 - 1

Evaluate

d = -2

So, we have the sequence to be

aₙ = aₙ₋₁ - 2

This means that the next three terms are -3, -5 and -7

Here, we have

1, -1

Assume the sequence is a geometric sequence, then we have

Common ratio, r = -1/1

Evaluate

r = -1

So, we have the sequence to be

aₙ = -aₙ₋₁

This means that the next three terms are 1, -1 and 1

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The given statement is True because If the sample mean is close to the population parameter, it suggests representative sampling regarding the variable of interest, although other factors should be considered too.

When the sample mean closely approximates the population parameter, it indicates that the sample is capturing the central tendency of the population. The mean is a measure of central tendency that reflects the average value of the variable of interest in the population.

If the sample mean is similar to the population mean, it suggests that the sample is a good representation of the population in terms of that particular variable.

However, it is important to note that representativeness is a relative concept. A sample may be considered representative in one sense but not necessarily in all aspects. Other factors, such as the sampling method, sample size, and sampling bias, also influence the representativeness of a sample.

In summary, when the obtained mean of the observations in a research study is close to the population parameter, it provides evidence that the sample is representative of the target population to some degree, indicating that the sample captures the central tendency of the population for the variable under investigation.

However, representativeness should be assessed in consideration of other factors as well.

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Answer: -74

Step-by-step explanation:

First you have to solve - 2y - 9 = 7 to find what "y" equals so we can plug that into 9y - 2

1. Solve -2y - 9 =7:

-2y = 16

y = -8

2. Plug -8 into the expression 9y - 2:

9(-8) - 2

-72 -2

-74!

Im sorry if i didnt do this correctly :/

Finding the union of the sets A and C is the first step in solving P(A U C). Since set C only contains the number 6, the union of A and C has the elements 1, 2, 3, 4, and 6. A U C thus equals 1, 2, 3, 4, and 6.

The power set of A U C, which comprises all conceivable subsets of 1, 2, 3, 4, and 6, must then be located. If all conceivable subsets are listed, the power set of A U C, designated as P(A U C), will be discovered.

P(A U C) = { {}, {1}, {2}, {3}, {4}, {6}, {1,2}, {1,3}, {1,4}, {1,6}, {2,3}, {2,4}, {2,6}, {3,4}, {3,6}, {4,6}, {1,2,3}, {1,2,4}, {1,2,6}, {1,3,4}, {1,3,6}, {1,4,6}, {2,3,4}, {2,3,6}, {2,4,6}, {3,4,6}, {1,2,3,4}, {1,2,3,6}, {1,2,4,6}, {1,3,4,6}, {2,3,4,6}, {1,2,3,4,6}}.

There are 31 subsets in the power set P(A U C) that result from the union of sets A and C.

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The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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Answer:

I think 13 is C

Step-by-step explanation:

71+52= 123

180-123= 57

In each of the following cases, the condition that has not been met before revenue should be recognized is as follows:

a. In the case of Company Alpha accepting a contract to perform services in the future for $4,000, the condition that has not been met is "performance." Revenue should typically be recognized when the performance obligations under the contract are satisfied, meaning that the services have been provided or goods have been delivered.

b. In the case of Company Beta shipping products worth $6,000 to another company without order and offering the option to return the products, the condition that has not been met is "collectibility." Revenue should generally not be recognized until it is probable that the consideration (payment) for the products will be received.

c. In the case of Company Centric performing $20,000 of services for a firm with financial problems, the condition that has not been met is "collectibility." Similar to the previous case, revenue recognition should be postponed until it is probable that the consideration for the services will be received.

d. In the case of Company Radiant agreeing to determine the price later for services performed for another company, the condition that has not been met is "determination of price." Revenue should generally be recognized when the price is fixed or determinable, meaning that the amount to be received can be reasonably estimated.

It's important to note that these determinations are based on general accounting principles and specific circumstances may require professional judgment and interpretation of applicable accounting standards.

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The circumference of a circle with diameter 379 can be found using the formula:

C = πd

where d is the diameter of the circle. Substituting the given value of d, we get:

C = 3.14 x 379

C ≈ 1191.06

Rounding to the hundredths place, the circumference is approximately 1191.06 units of length (e.g. inches, centimeters, etc.).

Therefore, the answer to fill in the blank is 1191.06.

The quadratic equation that has a discriminant of 0 is x^2 - 4x + 4 = 0.

The discriminant of a quadratic equation is calculated using the formula b^2 - 4ac, where 'a', 'b', and 'c' are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.

For the quadratic equation x^2 - 12x + 38 = 0, the coefficients are: a = 1, b = -12, and c = 38. Calculating the discriminant, we have:

Discriminant = (-12)^2 - 4(1)(38) = 144 - 152 = -8

Since the discriminant is -8, it is not equal to 0.

However, for the quadratic equation x^2 - 4x + 4 = 0, the coefficients are: a = 1, b = -4, and c = 4. Calculating the discriminant, we have:

Discriminant = (-4)^2 - 4(1)(4) = 16 - 16 = 0

Since the discriminant is 0, this is the quadratic equation with a discriminant of 0.

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If a merchant sells 1800 bags of oranges at a profit of Rs. 6/bag and 2500 bags of grapes at a loss of Rs. 4/bag, he made a loss of Rs. 800.

600 is the number of bags of oranges that has to be sold to have neither profit nor loss if the number of bags of grapes sold is 900.

A merchant makes a profit of Rs 6/bag of oranges sold and a loss of Rs. 4/bag of grapes.

In the given question,

Number of bags of oranges = 1800

Number of bags of grapes = 2500

Total outcome = Profit of oranges - loss of grapes

Profit of orange = 1800 * 6

= Rs. 10,800

Loss of grapes = 2500 * 4

= Rs. 10,000

Total outcome = 10,000 - 10,800

= - Rs. 800

Thus, he makes a loss of Rs. 800.

For having neither profit nor loss, the profit earned should be equal to the loss incurred.

Therfore, Profit = Loss

Let the number of bags of orange be x

Profit of oranges = 6x

Loss of grapes = 900 * 4

= Rs. 3600

Profit = Loss

6x = 3600

x = 600

Thus, 600 bags of oranges are sold in order to have neither profit nor loss if we sell 900 bags of grapes.

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Step-by-step explanation:

Hey there!

1.no Ans:

The equation of a st.line passing through point (3,0) is;

(y-0) = m1(x-3)........(i)

Another equation is,

y = 2/3x+1...........(ii)

Comparing the equation (ii) with y= mx+c. We get;

Slope (m2)= 2/3

As they are parallel lines, m1=m2.

So, putting value of m1 in equation (i).

\(y = \frac{2}{3} (x - 3)\)

\(y = \frac{2}{3} x - 3 \times \frac{2}{3} \)

Therefore the required equation is; y = 2/3x -2.

2.Ans:

The equation of a st.line passing through (4,1) is;

(y-1) = m1(x-4)...........(i)

y = -1/2x +2...............(ii)

From equation (ii)

y = -1/2x+2

Comparing the equation with y = mx+c

Slope (m2)= -1/2

As they are equal m1=m2= -1/2

Putting value of slope in equation (i)

\((y - 1) = \frac{ - 1}{2} (x + 2)\)

\(2(y - 1) = - 1(x + 2)\)

\(2y - 2 = - x - 2\)

\(x + 2y = 0\)

Therefore the required equation is; x+2y=0.

3. no. Ans:

The equation of a st.line passing through point (-1,-1) is ;

(y+1)= m1(x+1)..........(i)

y= -2x-4.....................(ii)

From equation (ii)

Comparing the equation with y = mx+c.

Slope(m2)= -2

As they are parallel lines, m1=m2 = -2.

Putting value of slope in equation (i)

\((y + 1) = - 2(x + 1)\)

\(y + 1 = - 2x - 2\)

\(2x + y + 3 = 0\)

Therefore the required equation is 2x+y+3=0.

4.no Ans:

The equation of a st.line passing through (-4,-5) is;

(y+5) = m1(x+4)..........(i)

y = -2x-5...............(ii)

From equation (ii)

Comparing the equation with y = mx+c, we get;

Slope (m2)= -2

As they are parallel lines, m1=m2= -2

Putting value of slope in equation (i)

\((y + 5) = - 2(x + 4)\)

\(y + 5 = - 2x - 8\)

\(2x + y + 13 = 0\)

Therefore the required equation is 2x+y+13=0.

5.no Ans:

The equation of a st.line passing through (-4,3) is:

(y-3)= m1(x+4).........(i)

y = 1/2x-3.......(ii)

From equation (ii)

Comparing the equation with y= mx+c.

Slope (m2) = 1/2

As they are parallel lines, m1=m2 = 1/2.

Putting value of slope in equation (i)

\((y - 3) = \frac{1}{2} (x + 4)\)

\(2(y - 3) = x + 4\)

\(2y - 6 = x + 4\)

\(x - 2y + 10 = 0\)

Therefore the required equation is; x-2y+10=0.

6.no. Ans;

The equation of a st.line passing through (5,-5) is;

(y+5)= m1(x-5)............(i)

y = -3/2x+2......(ii)

Comparing the equation (ii) with y = mx+c.

Slope(m2)= -3/2.

As they are parallel lines, m1=m2= -3/2.

Putting value of slope in equation (i)

\((y + 5) = \frac{ - 3}{2} (x - 5)\)

\(2(y + 5) = - 3(x - 5)\)

\(2y + 10 = - 3x + 15\)

\(3x + 2y - 5 = 0\)

Therefore the required equation is; 3x+2y-5=0.

Hope it helps...

Answer:

x<33/4

Step-by-step explanation:

-4x+35>2

-4x>2-35

-4x>-33

4x>33

x>33/4

x<33/4

Answer:

let Cedric's age be c

tyshon= 3c-3

3c-3 +c =3c+c-3 = 4c-3

4c-3=57

4c=60

c=15

tyshon=15×3-3 = 42

Answer:

16

Step-by-step explanation:

57dvied by 3 -3=16

Answer:

SAS

Step-by-step explanation: every triangle contains a total of 180 degrees if you substract 180 by 60+70(which is 130) you would get 50 degrees which is the exact degree missing in the first triangle, so after confirming that both triangles have an equal degrees on each side the answer would be SAS (which stands for Side-Angle-Side), SAS is the answer you would give to triangles that are congruent(equal)