1. Draw a pie chart showing the above information. The table (Table 1) shows colors preferred
by a group of people. [ 3 marks ]


2. Find the square root of 7921 by division method.
[ 3 marks ] (Non-anonymous question)
(6 Points)
​

Answer:

D.

Step-by-step explanation:

It's the most miles.

Based on the information given, the mean number of points that will be scored per game will be 16.5 points per game.

To find the mean or average of a given set of numbers, we've to add the numbers together and divide them. Therefore, the mean of the numbers that are given will be:

= (12 + 25 + 16 + 13) / 4

= 66/4

= 16.5

Therefore, the mean will be 16.5.

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Answer:

Slope = -1

Distance: 8.4852813742386

Step-by-step explanation:

Answer:

5/12 fractions form .416 for decimal form

Step-by-step explanation:

Given the expression

x + 4y = 9 ............. 1

5x + 10y = 5 .................. 2

We are to get the value of y. To do this, we will have to solve both equations simultaneously by eliminating x;

Multiply equation 1 by 5 and 2 by 1 to give;

5x + 20y = 45 ............. 3

5x + 10y = 5 .......... 4

subtract 3 from 4;

5x-5x + (20y-10y) = 45-5

0+10y = 40

10y = 40

y = 40/10

y = 4

Hence the y-coordinate for solution of the system of equations is 4.

The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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Answer:

24

Step-by-step explanation:

12 + 12 =24

Hah thats all i got to say lolololol

We can see here the proof of complex functions to geometry was contributed by the Norwegian mathematician Caspar Wessel.

A complex function is one that accepts a complex number as input and outputs another complex number. It is a function that, in other words, has the complex numbers as a codomain and a subset of the complex numbers as its domain.

Wessel demonstrated in his article that complex functions and complex numbers may both be used to represent curves and points in the plane. This research was a significant advancement in the field of complex analysis and opened the path for its growth into a potent instrument for addressing geometric problems.

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Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total money spent = 71

Parking fee = 15

71 - 15 = 56

Each ride costs = 4

Total rides = 56 ÷ 4 = 14 rides

Answer:

3x² + x + 1

-3x² + x + 1

-54

Step-by-step explanation:

there is nothing complicated to it. you just use the requested pertain on the whole expressions of the functions, and the result is then the new function.

so,

r(x) = 3x²

s(x) = x + 1

what do you think s + r is ?

it is simply

(s+r)(x) = 3x² + x + 1

done. that is really all there is to this.

now the next (but consider the sequence due to the sign)

(s-r)(x) = x + 1 - 3x² = -3x² + x + 1

and the third

(s×r)(x) = 3x²(x+1) = 3x³ + 3x²

so, for x=-3

(s×r)(-3) = 3×(-3)³ + 3×(-3)²

remember, an even power of a negative number gives a positive result, an uneven power of a negative number gives a negative result.

(s×r)(x) = 3×-27 + 3×9 = -81 + 27 = -54

Answer:

147.03 sq.cm.  

Step-by-step explanation:  

Equation for finding the area of a parallelogram:  

b·h=area

Equation for this parallelogram(you don't need the 10.1):

16.9·8.7=147.03

Answer:

\(\bold{x = \frac{-5 \± i\sqrt7}{2}}\)

Step-by-step explanation:

x^2 + 5x + 8=0

Comparing with ax^2+bx+c=0

we get a = 1, b = 5, and c = 8.

Using the quadratic formula, we have:

\(x = \frac{-b \± \sqrt{(b^2- 4ac)}}{ 2a}\)

Substituting these values, we get:

\(x =\frac{ -5 \± \sqrt{5^2 - 4*1*8}}{2*1}\)

\(x = \frac{-5 \± \sqrt{25 - 32}}{ 2}\)

\(x = \frac{-5 \± \sqrt{-7}}{ 2}\)

\(x = \frac{-5 \± i\sqrt7}{2}\)

Therefore, the solutions are:\(x = \frac{-5 \± i\sqrt7}{2}\)

1. We can see that the number in the bottom box is: 13.5yd.

2. The number in the top box is: 7.5yd.

3. The area of the table = 78.75yd²

A trapezoid, also known as a trapezium in some countries, is a quadrilateral shape that has only one pair of parallel sides. The parallel sides of a trapezoid are called the bases of the trapezoid, and the non-parallel sides are called the legs.

We see here that in order to get the number in the bottom box, we discover that the number in the top box is a square which means that all the sides are equal to 7.5yd.

Thus, the number in the bottom box = 3 + 7.5 + 3 = 13.5yd.

Thus, the area of the table, a trapezoid = 1/2(a + b)h

Where a = 7.5yd

b = 13.5yd

height, h = 7.5yd.

Thus, A = 1/2(7.5 + 13.5) 7.5 = 157.5/2 = 78.75

∴ Area of the table, A = 78.75yd²

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Answer:

h/g is 3

Step-by-step explanation:

h=12 and g=4 12/4 is 3 so its h/g

Answer:

H/g

Step-by-step explanation:

12/4 = 3

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

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The Answer:

Width = 6

Step-by-step explanation:

Let width be w

(3w + 8) x w = 156

3 \(w^{2}\) x 8n - 156 = 0

(w + 8 x 6) (w-6) = 0

w = 6

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Recall that two figures are similar if their corresponding angles have the same measure.

Therefore, if we reduce or increment the measurement of each angle, the resulting figure will not be similar to the original figure.

Now, notice that increasing the length of the sides of a polygon does not necessarily result in a similar figure, for example:

Now, recall that translations, rotations, reflections, and dilations result in similar figures.

Answer: Third and last options.

Answer:

\(A. \ x-4y=8\)

Step-by-step explanation:

1) if to re-write the given equations, then A. y= 1/4 x-2; B. y= -1/4x +2; C. y= -4x-2 and D. y=4x+2;

2) the answer A. y=1/4 x-2 is correct.

Answer:

x=-1

Step-by-step explanation:

4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1

Answer:

\( \sf \: x = - 1\)

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30 ÷ 30

→ [ x = -1 ]

Hence, the value of x is -1.

Step-by-step explanation:

hope this will help you..

Answer:

x = 2

Step-by-step explanation:

NRM and PSM are congruent corresponding angles, so

\(56 - 5x = 62 - 8x\)

\(3x = 6\)

\(x = 2\)

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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Answer:

5 gardeners

Step-by-step explanation:

1 gardener - 6 trees in 30 min

or 1 tree in 5 min so in one minute gardener can plant 1/5 tree

in 45 min 1 gardener can plant 9 trees

so you would need 5 gardeners to do 45 trees in 45 min

We have that the number of men needed to plant 45 trees in 45 minutes is

From the question we are told that

3 gardeners can plant 18 trees in 30 minutes.

plant 45 trees in 45 minutes?

Generally the equation for the One gardeners time of planting   is mathematically given as

Since

3 gardeners can plant 18 trees in 30 minutes.

Therefore

\(X=\frac{18}{30}*\frac{1}{3}\\\\X=\frac{1}{5}trees/min\)

Since

45 trees in 45 minutes

Therefore

1 tree for every min

Hence

Men need for 1 tree for every min is

\(1=x*\frac{1}{5}\\\\x=5\)

Therefore

x=5men would plant 45 trees in 45 minutes

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