What precebtage (to the nearest tenth) of the marbles was blue

Okay so Jack started with 50 chocolates, and ended with 2.

The simple way to calculate it would be by realizing that Jack only distributed 48 chocolates. We can find how many times 3 fits into 48 by dividing \(48\div3=16\).

Using algebra, we substitute the value we want to find with \(x\). Here what we want to find is the number of friends that were at Jack's party.

We know that he started with 50 chocolates, then distributed \(3\times\) the number of friends present (which is \(x\)).

We write that down as \(50-3x\)

(It's minus because when chocolates are distributed, Jack is taking away from what he has.)

We know that after this, there were only 2 chocolates left, so it's

\(\underline{\bold{50-3x=2}}\)

Then we proceed by moving all the numbers to the right until only \(x\) is left:

\(-3x=2-50\)

\(-3x=-48\)

\(x=\dfrac{-48}{-3}\)

\(\boxed{\bold{x=16}}\)

Conclusion: The number of people that attended the party was 16.

Answer:

Step-by-step explanation:

Answer:

try desmos!

Step-by-step explanation:

put it into the desmos graphing calculator

If the two triangle are overlapping , then they are congruent.

The term congruent refers the triangles that have three sets of corresponding congruent sides and three sets of corresponding congruent angles.

Here we have to prove that the two overlapping triangles are congruent.

Here we know that the two triangle are overlappling.

Now we have to do the following process to prove that the overlapping triangles are also congruent.

As per the reflexive property of congruence, here when overlapping triangles share a common side or angle because the reflexive property of congruence states that a segment or angle is congruent to itself. Therefore, according to the geometry when two triangles share a side or angle this can be used to prove one set of congruent sides/angles.

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Answer:

47

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

180 = 47 + 70 + x

180 = 117 + x

180 - 117 = x

63 = x

Answer:

k=-3

Explanation:

Plug in x and y values

-40=k(14)+2

-2 both sidea

-42=k(14)

divide by 14 both sides

k=-3

k = -3

Step-by-step explanation:

y = kx + 2 through the point a(14, -40)

Subtitute…

y = kx + 2

-40 = k(14) + 2

-40 = 14k + 2

-40 - 2 = 14k

-42 = 14k

(-42)/14 = k

-3 = k

The whole Dipper is visible at this time on this date.b. To see it, you should face N (North).

c. To see it, you would look directly at the circled Polaris. You would need to look up, about 41.3 degrees above the horizon.

7. How the Big Dipper’s position changes as you change the time from 9 PM to 12 midnight:

a. Yes, it was still visible during all of this time.

b. It appears to move around Polaris in a counterclockwise direction.

8. Other constellations that are visible on the current date at 10 PM are Ursa Minor, Cassiopeia, Draco, Hercules, and Boötes.9. a. Orion and Taurus constellations are missing now.

b. The Sagittarius and Scorpius constellations have appeared that were not visible on the current date. c. The visible constellations have changed because the Earth's orbit has moved around the Sun by 6 months.

10. Ursa Major, Cassiopeia, Cepheus, Draco, and Cynus appear to be visible all year. They are always up at night because they are located near the North Pole and are circumpolar constellations.11. Report about Orion constellation:a. A graphic with the constellation outlined.  

b. The names of one or two of the most prominent stars in the constellation: Betelgeuse, Rigel.

c. A brief overview of the story or mythology of the constellation’s name: In Greek mythology, Orion was a hunter who was killed by a scorpion. Zeus placed him in the sky as a constellation to honor his bravery.

d. To locate the Orion constellation in your night sky, you would need to face SSW (South-Southwest).e. My experience trying to locate the Orion constellation in the sky using the star wheel is quite challenging at first, but once I figured out which direction to face and how high above the horizon to look, it became easier.

The problems I experienced are light pollution and cloudiness, but I was surprised by how bright and distinct the stars in Orion are.

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Answer: when the value on each side of the equal sign is the same

Step-by-step explanation: for example, 9=9 is a true equation. 5+4 = 9 is a true equation

The percentile of the person with a score of 65 is approximately 28.57%.

The percentile of the person whose score was 65 can be calculated by determining the proportion of scores that fall below 65, and then expressing it as a percentage.

To find the percentile, we need to compare the score of 65 with the rest of the scores in the class.

The given scores are: 60, 61, 61, 65, 72, 75, 75, 78, 81, 81, 85, 89, 91, 98.

First, we need to determine the number of scores that are less than 65.

From the given scores, we can see that there are 3 scores less than 65 (60, 61, and 61).

Next, we calculate the proportion by dividing the number of scores less than 65 (3) by the total number of scores (14).

This gives us 3/14 ≈ 0.2143.

To express this as a percentile, we multiply the proportion by 100, giving us approximately 21.43.

However, since we are interested in the percentile of the person with a score of 65, we need to consider that they fall within this range.

Since there are 3 scores less than 65, and the person with a score of 65 is included, we add 1 to the numerator of our proportion, making it 4/14 ≈ 0.2857.

Finally, multiplying this proportion by 100, we find that the percentile of the person with a score of 65 is approximately 28.57%.

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Answer:

0.5

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

104+28=132

OK OK OK done

9514 1404 393

Answer:

  (x +6)(3x +4)

Step-by-step explanation:

The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.

  72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9

Sums of these factor pairs are 73, 38, 27, 22, 18, 17.

Now, you can rewrite the expression splitting the middle term into two parts:

  3x² +4x +18x +24

  x(3x +4) +6(3x +4) . . . . . . factor by grouping

  (x +6)(3x +4) . . . . . . . . . . your factored form

_____

Additional comment

I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.

One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:

  (3x +4)(3x +18)/3 = (3x +4)(x +6).

In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.

\(\\ \sf\Rrightarrow 3x^2+22x+24\)

\(\\ \sf\Rrightarrow 3x^2+18x+4x+24\)

\(\\ \sf\Rrightarrow 3x(x+6)+4(x+6)\)

\(\\ \sf\Rrightarrow (3x+4)(x+6)\)

Done!

Answer: 361

Step-by-step explanation:

Answer:

1) x = 10

m<LOH = 55

m<GOH = 85

m< KOG = 40

2) x = 3

m<CQR = 22

m<BQC = 53

m< AQB = 33

m< PQA = 72

3) x = 45

m<TYZ = 41

m<XYT = 49

m< SYX = 90

m< XYZ = 90

4) x = 7

m < KJL = 30

m< NJK = 50

m< MJL = 56

Step-by-step explanation:

1)

Straight line = 180°

So

4x + 15 + 9x - 15 + 4x = 180

17x + 10 = 180

x = (180-10)/17

x = 10

m<LOH = 40

m<GOH = 85

m< KOG = 55

2)

Straight line = 180°

So

7x + 1 + 56 - x + x + 30 + 24x = 180

31x + 87 = 180

x = (180 - 87) / 31

x = 3

m<CQR = 72

m<BQC = 33

m< AQB = 53

m< PQA = 22

3)

Straight line = 180°

So

2x + x + 4 + x - 4 = 180

4x = 180

x = 45

m<TYZ = 41

m<XYT = 49

m< SYX = 90

m< XYZ = 90

4)

Straight line = 180°

So

2(3x + 4) + 11x - 3 + 8x = 180

6x + 8 + 19x -3 = 180

25x + 5 = 180

x = (180 -5) / 25

x = 7

m < KJL = 30

m< NJK = 50

m< MJL = 56

I hope my answer helps you.

Answer:

28 cm^2

Step-by-step explanation:

a^+21^2=36^2

a^2+441=1225

a=28

The number of hours without daylight will be 5.6 hours.

On June 1, 2013, the number of hours of daylight in Anchorage, Alaska was 18.4 hours.

There are 24 hours a day. Then the number of hours without daylight is calculated as,

⇒ 24 - 18.4

⇒ 5.6 hours

The number of hours without daylight is 5.6 hours.

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The curve will get shifted left side by four units. Then the correct option is A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

y = g(x)

If the g(x) is replaced with g(x + 4). Then the curve will get shifted left side by four units.

Thus, the correct option is A.

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Answer:

9/10

Step-by-step explanation:

There are 10 cards in total (1-10 is 10 numbers). Only 1 of  the numbers is a 9. So the probability of picking the 9 is 1/10. Then do 1 - 1/10 to find the probability of not picking the 9. This is 9/10.

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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To order the circles, we find the area for each one:

Thus, the circles in order with the smallest area to the circle with the largest area are:

• 283.53 square units: Circle with a diameter of 19 units.

• 614.87 square units: Circle with a circumference of 87.92 units

• Circle with an area of 1,040.09 square units

• 2290.22 square units: Circle with a radius of 27 units

Answer:

\(\frac{10 \sqrt{3} }{3} = b\)

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the right angle), one angle with a measure of 30° and another with 60°

We are also given that one of the legs (one of the sides that makes up the right angle) is 5

We want to find what b is

This triangle is a special right triangle, a 30-60-90 triangle

In a 30-60-90 triangle, if the hypotenuse (the side opposite from the right angle) is b, the leg that is opposite from the 30° angle is \(\frac{b}{2}\), while the leg that is opposite from the angle that is 60° is \(\frac{b\sqrt{3} }{2}\)

In this case, we're given that the side opposite from the 60 degree angle is 5, meaning that 5 is equal to \(\frac{b\sqrt{3} }{2}\)  

So we can set 5 equal to \(\frac{b\sqrt{3} }{2}\), to solve for b:

5=\(\frac{a\sqrt{3} }{2}\)

Multiply both sides by 2

5*2=b√3

10=b√3

Now divide both sides by √3

\(\frac{10}{\sqrt{3} } =b\)

rationalize the denominator

\(\frac{10 * \sqrt{3} }{\sqrt{3} *\sqrt{3} }\) = b

\(\frac{10 \sqrt{3} }{\sqrt{9}}\)= b

\(\frac{10 \sqrt{3} }{3} = b\)

The answer can be left as that.

Hope this helps!

The expected frequencies in a chi-square test is can contain fractions or decimal values

What is Chi-Square Test?

When the sample sizes are large, a chi-squared test is a statistical hypothesis test used in the study of contingency tables. To put it another way, the main purpose of this test is to determine if two categorical factors  have independent effects on the test statistic.

What is Expected Frequencies?

A theoretical frequency that we anticipate to show up in an experiment is known as an expected frequency.

Expected frequency = Expected percentage * Total count

The expected frequencies in a chi-square test is can contain fractions or decimal values

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Answer:

90 miles per hour is the average speed.

Step-by-step explanation:

The formula for Average Speed can be given as follows:

\(\text{Average Speed}= \dfrac{\text{Total Distance Traveled}} {\text{Total Time Taken}}\)

Here time taken is from 1 PM to 4 PM i.e.

Total Time taken = (4-1) hours = 3 hours

Also, it is given that the Total distance covered = 270 miles

As per the formula above:

\(\text{Average Speed} = \dfrac{270}{3}\\\Rightarrow \text{Average Speed} = 90\ miles/hour\)

So, answer is: 270 miles/ hour is the average speed of the train from Philadelphia to Boston.

Answer:

  (4.4, 4.4)

Step-by-step explanation:

The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:

  RS : ST = 1 : 4

  S = (4R +1T)/5

  S = (4(2, 2) +(14, 14))/5 = (22, 22)/5

  S = (4.4, 4.4)

Answer: The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept. We are given the slope m = -1/5, and a point (-5,7) through which the line passes.

To find the y-intercept b, we can substitute the point (-5,7) and the slope m = -1/5 into the slope-intercept form of the equation and solve for b:

y = mx + b

7 = (-1/5)(-5) + b

7 = 1 + b

b = 6

So the y-intercept is b = 6, and the equation of the line in slope-intercept form is:

y = (-1/5)x + 6

Therefore, the equation of the line is y = (-1/5)x + 6.

Step-by-step explanation:

The slope-intercept form of the equation of a line that has a slope of -1/5 and passes through point (-5,7) is:

                y = -x/5 + 6

What is meant by the slope-intercept form of a line?

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

Given,

  the slope of line m = -1/5

 The point on the line = (-5,7)

Then the equation of a straight line is:

y -y1 = m  (x-x1)

y1 = 7

x1 = -5

Then the equation becomes:

y - 7 = -1/5 ( x - (-5))

y-7 = -1/5 ( x+5)

y-7 = -x/5 -1

y = -x/5 + 6

Therefore the slope-intercept form of the equation of a line that has a slope of -1/5 and passes through point (-5,7) is:

                y = -x/5 + 6

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Answer:

Where's the expression?

Step-by-step explanation:

You forgot to include to expression in your question :)