Expand:3(×+2y)+4(2×-y)​

The approximation of √300 to the nearest integer is 17

An integer is a whole number that can be positive or negative or zero. Examples of integers are 0, -5, 10, 15, 1000. e.t.c. Decimal numbers are not integers.

Since the value of √300 can not give a whole number because 300 is not a perfect square. This means that the answer given will not be an integer. Therefore saying that we should approximate to integer means approximation to whole number.

√ 300 = 17.32. Therefore the approximation of the value of √300 to the nearest integer = 17.

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Answer:

Step-by-step explanation:

To convert a fraction to a decimal, you divide the numerator by the denominator. The line in the middle of a fraction is essentially a large division sign.

Let's check Jackie's work

1/200 = 0.005

3/10 = 0.3

7/8 = 0.875

4/5 = 0.8

Jackie listed 7/8 as 0.625, which is incorrect. 7/8 is 0.875

So, 0.625 is your answer.

The answer to the question is C

Out of 99 students, 11 of them named brownies as their favorite dessert.

What is proportion?

A proportion is a statement that two ratios are equal. In other words, when two ratios have the same relationship between their corresponding values, they are said to be in proportion. Proportions are commonly used in mathematics to solve problems involving equivalent ratios and to scale quantities up or down. They can also be used to represent real-world situations, such as calculating the ratio of ingredients in a recipe or determining the scale of a map.

According to the chart, 1 out of 9 students named brownies as their favorite dessert.

To find the actual number of students who named brownies, you can set up a proportion,

1/9 = x/99

Where x represents the number of students who named brownies.

To solve for x, you can cross-multiply,

9x = 1 × 99

Simplifying,

9x = 99

x = 11

Therefore, out of 99 students, 11 of them named brownies as their favorite dessert.

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Correct question is "Teachers at Arcadia Elementary School asked students to name their favorite desserts.

Ice cream -1/3

Frozen yogurt - 2/9

Cookies - 1/9

Candy - 1/9

Pudding - 1/9

Brownies - 1/9

If there were 99 students voting, how many of them named brownies as their favorite dessert?"

Answer:

The radius of the circle is 3 units.

The center of the circle lies on the y-axis.

Step-by-step explanation:

The circle equation is :

x² + (y-1)² = 3²

center: (0, 1)  The center of the circle lies on the y-axis.

Radius:  3     The radius of the circle is 3 units.

Answer:

14

Step-by-step explanation:

c = 2[tex]\pi r[/tex]

c = 2[tex]\pi[/tex]7

x = 14[tex]\pi[/tex]

Helping in the name of Jesus.

Answer

Step-by-step explanation:

Answer

Answer step-by-step explanation

To determine if the sample fairly represents the population, we need to consider whether the sample is representative and whether there is any bias present in the sampling process.

If the principal surveyed fifty 8th graders in a way that ensures that each 8th grader in the population has an equal chance of being selected, then the sample can be considered representative. This means that the sample accurately reflects the characteristics of the population, and any conclusions drawn from the sample can be applied to the population.

However, if the sampling process was biased in some way, the sample may not be representative of the population. For example, if the principal only surveyed 8th graders in one class or in one particular group, the sample may not be representative of the entire 8th-grade population at Harding Middle School. In this case, any conclusions drawn from the sample may not accurately reflect the entire population.

Therefore, the key factor in determining whether the sample fairly represents the population is the sampling method used. If the sampling method is random and unbiased, then the sample can be considered representative of the population.

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We can conclude that 7/3 lies between the integers 2 and 3. So, correct option is C,

To determine between which two integers 7/3 lies, we can use division and rounding.

Dividing 7 by 3 gives 2 with a remainder of 1. Therefore, we can express 7/3 as the sum of 2 and a fraction:

7/3 = 2 + 1/3

Since the fraction 1/3 is less than 1/2, we can round down to 2. Therefore, we can conclude that 7/3 lies between the integers 2 and 3.

This question requires us to determine between which two integers the fraction 7/3 lies. One approach to solving this is to perform long division, which gives us a quotient of 2 with a remainder of 1. We can express 7/3 as the sum of the quotient and the fraction 1/3. Since 1/3 is less than 1/2, we round down to the nearest integer, which in this case is 2.

Answer C, 2 and 3, is the correct answer.

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Answer:

Step-by-step explanation:(3)(6)+(4) = 18+4= 22

The value of the expression as a single rational number is -8.

Kent was likely referring to the idea that subtracting a negative number is the same as adding a positive number. Specifically, to subtract a negative number, we can add the opposite of that number (i.e., the positive version of that number). In this case, we can rewrite the expression as:

= -9.5 - (-8) - 6.5

= -9.5 + 8 - 6.5      (replacing -(-8) with its positive equivalent 8)

= (-9.5 - 6.5) + 8    (grouping like terms)

= -16 + 8                (simplifying)

= -8

Therefore, the value of the expression is -8, which is a single rational number.

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The value of the expression 8w - 4j² when w = 0.25 and j = 0.5 is 1.

The expression 8w - 4j² is a combination of variables, w and j, and a constant, 8 and 4. In order to evaluate the expression when w = 0.25 and j = 0.5, we substitute these values for w and j in the expression and perform the necessary calculations.

First, we substitute w = 0.25 and j = 0.5 in the expression:

8(0.25) - 4(0.5)²

Next, we simplify the expression by performing the calculations in the parentheses first. Since 0.5² = 0.25, we can simplify 4(0.5)² to 4(0.25) = 1. We can then simplify 8(0.25) - 4(0.5)² to:

= 2 - 1

= 1

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The given question is incomplete, the complete question is:

What is the value of the expression 8w−4j² when w=0. 25 and j=0. 5?

Answer:

The missing side of the right triangle is 8, and it is one of the legs.

Step-by-step explanation:

Step 1: Write down the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In equation form, it looks like this:

a^2 + b^2 = c^2

where a and b are the lengths of the legs (the shorter sides) and c is the length of the hypotenuse.

Step 2: Identify which sides are the legs and which is the hypotenuse.

In our triangle, we are given the lengths of two sides, 10 and 6. We don't know which one is the hypotenuse and which one is a leg. However, we can use the fact that the hypotenuse is always the longest side to figure it out. Since 10 is longer than 6, we know that 10 is the hypotenuse.

Step 3: Apply the Pythagorean theorem to find x.

Now that we know which side is the hypotenuse, we can use the Pythagorean theorem to find x. We substitute the values we know into the formula and solve for x:

a^2 + b^2 = c^2

6^2 + x^2 = 10^2

36 + x^2 = 100

x^2 = 100 - 36

x^2 = 64

x = √64

x = ±8

Step 4: Choose the positive value of x.

Since x represents a length of a side of a triangle, it must be a positive value. Therefore, x = 8.

Step 5: Verify that the answer is correct.

We can check that our answer is correct by substituting x = 8 into the Pythagorean theorem and seeing if it holds true:

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

The total area of two triangle tablecloths for one table = 8ft²,

height =  6mm,

The total area of the den = 430ft²,

height of the rhombus =  12ft,

What is the area of the rectangle?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Triangles:

a) Area of triangle = 1/2 * base * height = 1/2 * 4in * 5in = 10in²

b) Area of triangle = 1/2 * base * height = 1/2 * 6ft * 10ft = 30ft²

c) Area of triangle = 1/2 * base * height = 1/2 * 12m * 15m = 90m²

Total area of two triangle tablecloths for one table = 2 * 1/2 * 2ft * 4ft = 8ft²

Parallelogram:

a) Area of parallelogram = base * height = 6in * 9in = 54in²

b) Area of parallelogram = base * height = 2ft * 5ft = 10ft²

c) Area of parallelogram = base * height = 3yds * 7yds = 21yds²

height = Area/base = 78mm²/13mm = 6mm

Rectangle:

a) Area of rectangle = length * width = 8ft * 6ft = 48ft²

b) Area of rectangle = length * width = 13ft * 5ft = 65ft²

Total area of the den = (2 * 9ft * 15ft) + (2 * 8ft * 10ft) = 270ft²+ 160ft² = 430ft². Charles has enough paint because one gallon of paint will cover 440 square feet of wall space.

Rhombus:

a) Area of rhombus = (1/2) * diagonal1 * diagonal2 = (1/2) * 12yds * 12yds = 72yds²

b) Area of rhombus = (1/2) * diagonal1 * diagonal2 = (1/2) * 10ft * 25ft = 125ft²

c) Area of rhombus = (1/2) * diagonal1 * diagonal2 = (1/2) * 16in * 22in = 176in²

height of the rhombus = 2(area/diagonal1) = 2(72ft²/12ft) = 12ft

Trapezoid:

a) Area of trapezoid = 1/2 * (base1 + base2) * height = 1/2 * (6ft + 7ft) * 10ft = 65ft²

b) Area of trapezoid = 1/2 * (base1 + base2) * height = 1/2 * (5yds + 8yds) * 4yds = 26yds²

c) Area of trapezoid = 1/2 * (base1 + base2) * height = 1/2 * (9in + 11in) * 13in = 130.5in²

d) Height of trapezoid = 2(area/(base1 + base2)) = 2(32km²/16km) = 4km

Hence, the total area of two triangle tablecloths for one table = 8ft²,

height =  6mm,

The total area of the den = 430ft²,

height of the rhombus =  12ft,

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Answer:

59.5[tex]cm^{2}[/tex]

Step-by-step explanation:

You have two shape: a square and a triangle

Square:

The area of a square is the sides squared

a = [tex]s^{2}[/tex]  The side length is 7 (7 x 7 = 49)

a = [tex]7^{2}[/tex]

a = 49

Triangle:

a [tex]\frac{bh}{2}[/tex]  The base times the height divided by 2

The base is 7 and the height is 3.

a = [tex]\frac{7x3}{2}[/tex] = [tex]\frac{21}{2}[/tex] = 10.5

Add the two areas together: 49 + 10.5 = 59.5

Helping in the name of Jesus.

The highway accident evidence to reject the null hypothesis that the population proportion is equal to 77%.

No, these data do not indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County.

The sample proportion of 15 out of 27 is 56.25%, which is not significantly different from the population proportion of 77%.

The p value for this test is 0.788, which is greater than the alpha level of 0.01.

The p value of this test indicates that the sample proportion of 15 out of 27 (56.25%) is not significantly different from the population proportion of 77%.

This means that there is not enough evidence to reject the null hypothesis that the population proportion is equal to 77%.

The p value of 0.788 is greater than the alpha level of 0.01, meaning that the results of this test are not statistically significant enough to support the alternative hypothesis that the population proportion is less than 77%.

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a) There are 22,100 possible combinations of 3 cards that can be drawn from a standard deck of 52 cards.

b) There are only 4 possible combinations of 3 aces that can be drawn from a standard deck of 52 cards.

a) The number of different combinations of 3 cards from a deck of 52 cards is given by the combination formula:

C(52, 3) = 52! / (3! * (52-3)!) = 22,100

Therefore, there are 22,100 possible combinations of 3 cards from a deck of 52 cards.

b) Since there are 4 aces in a standard deck of 52 cards, the number of different combinations of 3 aces is given by the combination formula:

C(4, 3) = 4! / (3! * (4-3)!) = 4

Therefore, there are only 4 possible combinations of 3 aces from a deck of 52 cards.

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2. The appropriate measure of center for the given data is the median, and it equals 19.

5.  We can predict that there were about 169 principals in attendance at the conference.

6. The best graphical representation for the teacher's data would be a bar graph.

7.  A histogram is used to display continuous data, while a bar graph is used to display categorical data.

8. The correct circle graph to represent the data is titled "New York City Visitor's Transportation"

9. We can predict that the college will need about 1440 scoops of ice cream.

Answer 2:

The appropriate measure of center for the given data is the median, and it equals 19. We can determine this from the box plot since the line inside the box represents the median of the data, and the box itself represents the middle 50% of the data. Since the box extends from 17 to 21, we know that half of the data falls below 19 and half above, making it the median. The mean is not a good measure of center for this data because it can be influenced by outliers, which are present in this dataset.

Answer 5:

Since we know that 15 out of 80 people in the exhibit room were principals, we can assume that about 15/80 (or about 0.1875) of the attendees were principals. To estimate the number of principals in attendance, we can multiply this fraction by the total number of attendees:

0.1875 x 900 ≈ 169

Therefore, we can predict that there were about 169 principals in attendance at the conference.

Answer 6:

The best graphical representation for the teacher's data would be a bar graph. A bar graph is a useful way to display categorical data, such as the subject preferences of the students. Each subject can be represented by a bar, with the height of the bar representing the frequency or percentage of students who prefer that subject.

Answer 7:

The correct graph to display the data is a bar graph with the title "Favorite Sport" and the x-axis labeled "Sport" and the y-axis labeled "Number of Students". The bars should be labeled "Basketball" with a value of 17, "Baseball" with a value of 12, "Soccer" with a value of 27, and "Tennis" with a value of 44. A histogram is used to display continuous data, while a bar graph is used to display categorical data.

Answer 8:

The correct circle graph to represent the data is titled "New York City Visitor's Transportation" and has five sections labeled "Walk" at 30%, "Bicycle" at 6%, "Car Service" at 11.25%, "Bus" at 7.5%, and "Subway" at 20.25%. To calculate the percentages, we can divide the number of visitors for each mode of transportation by the total number of visitors (i.e., 300), then multiply by 100% to get the percentage.

Answer 9:

To estimate the number of students who prefer ice cream, we can add up the number of students who chose ice cream, which is 81. Then, we can set up a proportion:

81/225 = x/4000

where x represents the number of students who prefer ice cream out of the total population of 4000. Solving for x, we get:

x = 81 x 4000 / 225 = 1440

Therefore, we can predict that the college will need about 1440 scoops of ice cream.

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Answer:

X = 65°

Y = 75°

Z = 65°

Step-by-step explanation:

Hello!

Angle Y and the angle measuring 75 degrees are corresponding angles, and corresponding angles are congruent to each other in degree measure.

There is also another set of corresponding angles, and those are Angle Z and Angle X.

Since Angle Y and 75° are corresponding, we can state that Angle Y is also 75°. We can now find Angle Z by subtracting 40° and 75° from 180°. This is because the sum of angles in a triangle is 180°.

The measure of Angle Z is 65°. We know that Z and X are corresponding, so X is also 65°.

You seem to have made a typo.

Answer:

y = 14

x = 30

c = 10

y = 4

x = 7

x = 3

b = 17

h = 15

y = 82

y = 32

This is not an equation and cannot be solved.

Explanation:

To solve each equation, we need to isolate the variable (the letter that we are solving for) on one side of the equation. To do this, we perform the same operation on both sides of the equation until the variable is alone on one side. Here are the steps for each equation:

y + 6 = 20

Subtract 6 from both sides: y = 14

x-12 = 18

Add 12 to both sides: x = 30

c + 15 = 25

Subtract 15 from both sides: c = 10

5y-2 = 18

Add 2 to both sides: 5y = 20

Divide both sides by 5: y = 4

3 + 2x = 17

Subtract 3 from both sides: 2x = 14

Divide both sides by 2: x = 7

5x (12 + 5) = 85

Simplify the left side: 5x (17) = 85

Divide both sides by 85: x = 3

96-4b = 28

Subtract 96 from both sides: -4b = -68

Divide both sides by -4: b = 17

5h + (-55) = 20

Add 55 to both sides: 5h = 75

Divide both sides by 5: h = 15

-12 + y + (-25) = 45

Add 12 and 25 to both sides: y = 82

y-(-18) = 14

Simplify the left side: y + 18 = 14

Subtract 18 from both sides: y = -4

This is not an equation and cannot be solved.

On day 1, each of the 5 people tells 2 more people, so 5 x 2 = 10 people now know the rumor, including the original 5.

a) How many people will learn about the rumour

a) Let's first consider how the number of people who know the rumor grows each day:

On day 0, 5 people know the rumor.

On day 1, each of the 5 people tells 2 more people, so 5 x 2 = 10 people now know the rumor, including the original 5.

On day 2, each of the 10 people tells 2 more people, so 10 x 2 = 20 people now know the rumor, including the original 5 and the 10 from day 1.

i) Therefore, on day 1, a total of 10 people will know the rumor.

ii) On day 2, a total of 20 people will know the rumor.

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Answer:

423.8

Step-by-step explanation:

you have to add the taxes and insurance together then subtract it by the gross salary and then you get your answer brainly please

Answer:

Table 4 represents a function because each x-value corresponds to exactly one y-value.

If workers note that for every "3 m" of rope pulled down-ward, the piano rises 0.3 m, then we have shown that 700 N is required force to lift the motorcycle.

The term "Mechanical advantage" (MA) is defined as ratio of "output-force" to "input-force" in a machine.

In this case, the output force is the weight of the motorcycle (7000 N) and the input force is the force applied to pull the rope downward.

We use the formula for mechanical advantage in a pulley system, which is given by:

⇒ MA = (distance moved by the effort) / (distance moved by the load),

In this case, the distance moved by the effort is 3 m, and

The distance moved by the load is 0.3 m,

Substituting the values,

We get,

⇒ MA = 3/0.3,

⇒ MA = 10,

So, mechanical advantage of "pulley-system" is 10.

Now, we use mechanical advantage to calculate the required force to lift the motorcycle.

Since mechanical advantage is defined as the ratio of output force to input force, we can rearrange the formula as:

⇒ Input force = (Output force)/(Mechanical advantage),

Substituting values for "output-force" as 7000 N and "mechanical-advantage" as 10,

We get,

⇒ Input force = 7000/10,

⇒ 700 N,

Therefore, the required force to lift motorcycle is 700 N.

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The diameter of the semicircle for the given area of the semicircle 1. 2717 square meters is equal to 1.8 meters.

Area of a semicircle = 1. 2717 square meters

The area of a semicircle is given by the formula,

A = πr^2 / 2

where A is the area

And r is the radius of the semicircle.

Rearrange the formula to solve for r,

r = √(2A/π)

Substituting the given value of A = 1.2717 square meters into this formula, we get,

⇒ r = √(2 × 1.2717 / π)

⇒ r = 0.9 meters

Since the diameter of a semicircle is twice the radius,

The diameter of this semicircle is equal to,

d = 2r

  = 2 × 0.9

   = 1.8 meters

Therefore, the diameter of the semicircle is equal to 1.8meters.

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Answer:

(-5,-4)

Step-by-step explanation:

i think this is correct because i tried to solve in paper.

A The histogram is the best graph showing the average scores of 5 UCI volleyball teams in UCI history. Because it allows us to divide the data into as many or as few groups as we want and clarify the comparison between them.

We would like to view the average points data of the top 5 UCI basketball players in UCI history. There are two types of charts used to present data. The first is a histogram and the second is a scatterplot. We have to decide which picture is the best. Now, as we know, scatter charts are used to plot observations based on points to show the relationship between two data sets. A histogram is a type of bar chart in which all values are divided. Divides the range of results in the data into classes or groups. It can help identify outliers or gaps in the data. After discussing the features of the two graphs, shows the average score of 5 UCI basketball players in UCI history, the histogram is the best choice here because it allows us to divide and share the difference between clearly.

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complete question:

The above figure complete the question..

you want to display data on average number of points scored by the top 5 uci basketball players in the history of uci. which type of graph would be best?

The angle measures of the central angle GFE and the circumscribed angle GCE in circle C are 83° and 79° respectively.

Angle is a geometric term used to describe the measure between two lines or surfaces that intersect each other. It is measured in degrees, and is typically represented by the Greek letter θ (theta). Angles can be acute, obtuse, right, reflex, or straight. Acute angles are angles that are less than 90°, obtuse angles are angles that are greater than 90°, and right angles are angles that measure exactly 90°. Reflex angles are angles that measure greater than 180°, and straight angles measure exactly 180°.

The two correct answers are 83° and 79°. The angle measure of the central angle GFE is 3x + 11. Therefore, 3x + 11 = 83°, and x = 26. The angle measure of the circumscribed angle GCE is 5x - 23. Therefore, 5x - 23 = 79°, and x = 26. As both equations have the same value for x, the two angle measures are 83° and 79°.

In conclusion, the angle measures of the central angle GFE and the circumscribed angle GCE in circle C are 83° and 79° respectively.

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