At a Harare swimming club, there are 35 girls and 25 boys. . In a Bulawayo swimming club, there are 22 girls and 14 boys. Which swimming club has the greatest proportion of girls? Explain how you worked out your answer. ​

Answer:

V = 51.3 in.³

Step-by-step explanation:

Volume of Sphere = \(\frac{4}{3} \pi r^3\)

Where r = 3.5

So,

V = \(\frac{4}{3} (3.14)(3.5)^3\)

V = \(\frac{4}{3} (3.14)(12.25)\)

V = \(\frac{153.9}{3}\)

V = 51.3 in.³

Answer:

1) any number that is greater than ten is considered an integer bigger than ten: for example, 11, 12, 100, 1000000, etc.

2) any number that is smaller than ten is considered an integer smaller than ten: for example, 9, 8, 7, -100, -100000, etc.

3) any number that is bigger than zero is considered an integer bigger than ten: for example, 1, 2, 10, 100, 100000, etc.

4) any number that is smaller than zero is considered an integer smaller than zero: for example, -1, -2, -3, -10, -100000, etc.

Step-by-step explanation:

An integer is any whole number

Answer:

Step-by-step explanation:

integer bigger than 10 is 11

integer smaller than 10 is 9

integer greater than 0 is 1.

integer smaller than 0 is -1.

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

In order to find the new value, we use the formula

Then, start by finding the new price after the stock decreases by 3%

Finally, rise the new price using the same formula

Answer:

The new value is $3666.60

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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9514 1404 393

Answer:

  A congruent

Step-by-step explanation:

In similar polygons, corresponding sides are proportional, and corresponding angles are congruent.

Explanation: To eveluate the expression at the given points all we need to do is to substitute the x-value for the value inside the parenthesis.

Step 1: Let's calculate as follows

Final answer: So the final answer is

a. f(4) = 16

b. f(0) = -4

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

If the scale on the map is 1 inch=20 km then if two points are separated by 20 km in real life then they will be separated by 1 inch on the map. If we want to know the distance on the map for two cities separated by 170 km in real life we can use the rule of three:

Where x is given by:

Then the answer is 8.5 inches.

The total area is 1570 square units.

Explain area

Area refers to the measurement of the size of a two-dimensional surface. It is typically expressed in square units, such as square meters or square feet. The area of a shape can be calculated by multiplying its length by its width, or by using specific formulas for more complex shapes. Area is an important concept in geometry and is used in many real-life applications, such as calculating the area of a room or a piece of land.

According to the given information

Here the base of the right triangle is 20 and the hypotenuse is 29, so we can set up the equation:

29² = 20² + h²

where h is the height of the triangle(length of dotted line) that we want to find.

Simplifying and solving for h, we get:

h² = 29² - 20²

h² = 841 - 400

h² = 441

h = √(441)

h = 21

Therefore, the length of the dotted line is 21 units

Now,

The area of a right triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. So, the area of the right triangle with base 20 and height 21 is:

A_triangle = (1/2)(20)(21) = 210

The area of a right trapezium is given by the formula A = (1/2)(a+b)h, where a and b are the parallel sides and h is the height. So, the area of the right trapezium with a longer side of 55, smaller side of 21, and height of 40 is:

A_trapezium = (1/2)(55+21)(40) = 1360

Therefore, the total area of the right triangle and right trapezium is:

A_total = A_triangle + A_trapezium = 210 + 1360 = 1570

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Answer:

Step-by-step explanation:

In our equation, y = 6x + 2, we see that the slope of the line is 6. The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4, we see that the y-intercept of the line is 4.

Answer:

okay?

Step-by-step explanation:

is this a true or false

Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.

The correct answer is option D.

To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."

Let's analyze the given function and its graph to understand why the domain is "all real numbers."

The function y =  \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.

Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.

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\(4(x + 1) = 5(x - 3) \\ 4x + 4 = 5x - 15 \\ 5x - 4x = 4 + 15 \\ x = 19\)

Answer:

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer: It would be 30

Step-by-step explanation: When you divide 8 by 240, you get 30, divide the inside of the bar by the outside for questions like these, 240/8.

Answer:

73 ?????????

Step-by-step explanation:

Answer:

The answer would be

32 X 2 = 64

64 + 9 = 73

Step-by-step explanation:

Good luck

Answer:

-18

Step-by-step explanation:

add 25 on both sides

f/9 = -2

multiply by 9 on both sides

f = -18

Answer:

Answer is $250.40

Step-by-step explanation:

First, calculate 10% of the total amount, then multiply it by 2 to get 20%

1,252 / 10 = 125.2

125.2 * 2 = 250.4

Therefore 20% of that price would be $250.40 Dollars because that's how much she saved on the computer.

Hope this helps!

\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)

See this attachment

Answer: 2y = 24

Step-by-step explanation:

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

Answer:

148

Step-by-step explanation:

just searched it up good luck sorry if its wrong

Answer:

Step-by-step explanation:

To solve this problem, we can use the following formula:

(quantity of tea 1 x price of tea 1) + (quantity of tea 2 x price of tea 2) = total quantity x price of mixture

Let x be the number of pounds of black tea that the store owner needs to mix with the oolong tea.

We know that:

The store owner has 35 pounds of oolong tea that sells for $2.40 per pound.

The store owner wants to sell the final mixture for $2.10 per pound.

The black tea is worth $1.80 per pound.

Using the formula above, we can write:

(35 x 2.40) + (x x 1.80) = (35 + x) x 2.10

Simplifying this equation, we get:

84 + 1.8x = 73.5 + 2.1x

0.3x = 10.5

x = 35

Therefore, the store owner needs to mix 35 pounds of black tea with the oolong tea.

I hope this helps! Let me know if you have any other questions.

Answer:

Step-by-step explanation:

Let's assume the store owner needs to mix x pounds of black tea with the 35 pounds of oolong tea.

The cost of the oolong tea is $2.40 per pound, so the total cost of the oolong tea is:

Cost of oolong tea = 35 pounds × $2.40/pound = $84

The cost of the black tea is $1.80 per pound, and the final mixture needs to be sold for $2.10 per pound. To achieve an average price of $2.10 per pound, the total cost of the mixture should be:

Total cost of mixture = (35 + x) pounds × $2.10/pound = $73.5 + $2.10x

Since the cost of the mixture should equal the sum of the costs of the oolong and black teas, we can set up the equation:

$73.5 + $2.10x = $84

Now, let's solve for x to find the amount of black tea needed:

$2.10x = $84 - $73.5

$2.10x = $10.5

x = $10.5 / $2.10

x ≈ 5

Therefore, the store owner needs to mix approximately 5 pounds of black tea with the 35 pounds of oolong tea in order to sell the final mixture for $2.10 per pound.

The misleading about the data shown on the figure is the clas width

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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Answer:

5.6

Step-by-step explanation:

We want to find the value of x, which is part of the segment that includes the length 10.

We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).

Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:

ab = cd

10 * x = 7 * 8

10x = 56

x = 56/10 = 5.6

The answer is 5.6.

Each diagonal has two parts (a, b, c, and d).

The formula is ab = cd

We have the values:

a = 10

b = x

c = 8

d = 7

Put these in the formula:

10x = (8)(7)

Solve for x.

10x = (8)(7)

10x = 56

10x/10 = 56/10

x = 5.6

Therefore, the answer is x = 5.6

Best of Luck!

Answer:

Axis of symmetry:  x = 5

Vertex form:  y = -4(x - 5)² + 3

Step-by-step explanation:

Given ordered pairs: (2, -33)  (3, -13)  (4, -1)  (5, 3)  (6, -1)

Axis of Symmetry

As this is a parabola, it will be symmetrical.  

To determine the axis of symmetry, identify two ordered pairs that have the same y-values and find their midpoint.

Two ordered pairs with the same y-value:  (-4, 1)  and  (6, -1)

Midpoint of x = 4 and x = 6 is:  x = 5

Therefore, the axis of symmetry is x = 5

Vertex form

Vertex form of a quadratic equation:  y = a(x - h)² + k

(where (h, k) is the vertex)

The axis of symmetry is the x-value of the vertex of the parabola.

As we have been given the point when x = 5, the vertex is:  (5, 3)

Substituting this into the formula:

⇒ y = a(x - 5)² + 3

To find the value of a, substitute any of the other points into the formula and solve for a.

Using (4, -1)

⇒ a(4 - 5)² + 3 = -1

⇒ a(-1)² = -4

⇒ a = -4

Therefore, the vertex form of the parabola is:

y = -4(x - 5)² + 3

Answer:

117 5/5, 116 10/5, 117 4/4

Step-by-step explanation:

The list is infinite

Answer:

115 15/5, 114 16/4, 112 60/10

Step-by-step explanation:

THIS IS NOT PLAGARISM SO SIMPLY DO NOT REPORT MY ANSWER I TOOK TIME AND EFFORT IN THIS. And the person who asked this, you can write is as a mixed number or fraction by taking away some wholes then making up a denominator and then do the many times you took away the whole and multiply the denominator that many times to be as your numerator Example:

3, say if i take 3 from 118 you are now left with 115.

now we are going to find a random EASY denominator depending on which you'd like.

Lets say 12 is our denominator. SO this so far would be 115 1/12.

Next we are going to find a numerator THAT IS THE MANY TIMES IT HAS BEEN TAKEN AWAY FROM THE 118. Which means we are going to multiply by 3 to the denominator which would be 36. So 36 would be your numerator.

It would look like this: 115 36/12

Simplify:

118

Answer:

slope = -10/3

Step-by-step explanation:

point 1 = (-5,5)

point 2 = (-2,-5)

slope = change in y divided by change in x

(-5-5)/(-2--5) = -10/3