What is a real solution set?

If Andrew takes same amount of time to kayak 4 miles upstream and 9 miles downstream in a river with a 6 mph current, then the speed of Andrew’s kayak in still water is 15.6 miles per hour.

Therefore the answer is 15.6 mph.

We can begin solving the problem by using the equation:

Speed (relative to water) = Speed (in still water) + Speed (of the water)

Let x be the speed of Andrew's kayak in still water.

When kayaking upstream, his speed relative to the water is x - 6 mph (since the current is moving in the opposite direction at 6 mph).

When kayaking downstream, his speed relative to the water is x + 6 mph (since the current is moving in the same direction at 6 mph).

Since the problem states that it takes Andrew the same amount of time to kayak 4 miles upstream as it takes him to kayak 9 miles downstream, we can set up the following equation knowing time = distance/ speed :

4/ (x - 6) = 9/ (x + 6)

Simplifying and solving for x we get

4(x + 6) = 9(x - 6)

4x + 24 = 9x - 54

9x - 4x = 54 + 24

5x = 78

x = 15.6

So, Andrew's kayak speed in still water is 15.6 miles per hour.

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Answer:

Rate of change = -5/6 & Initial value = 5

Step-by-step explanation:

Rate of change = rise/run = -5/6

Initial value = y -intercept = 6

Answer:

Answer is B

0.008

Step-by-step explanation:

Answer:

5/14

Step-by-step explanation:

A street sign is 14 inches long. A scale drawing of the sign is 5 inches long. What is the scale factor

Scale factor is calculated as:

Scale drawing/Street sign

= 5 inches/14 inches

= 5/14

Therefore, the scale factor 5/14

Answer:

30cm

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation.

29.9 so closest 30cm

Coordinates (x ,y ) of the given geometrical figure after translation is written as ( x + h , y + k ) where h ∈ R  and k ∈ R.

As given in the question,

Let us consider the coordinates of any geometrical figure is represented by ( x, y ) in the coordinate plane.

Translation is the representation of transformation the change in the location of the given geometrical figure without change in the shape and size.

It can be translated in four ways :

Translation to the right is written as ( x + h , y )

Translation to the left is ( x - h, y)

Translation in the up is ( x, y + k )

Translation in the down is ( x , y - k ).

Therefore, the original coordinate ( x ,y )  after translation written as

( x + h , y + k ) where h ∈ R  and k ∈ R.

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Answer:

x=9.2

Step-by-step explanation:

23/x=17.5/7

cross multiply

17.5x=161

divide

x=9.2

Answer:

a) 48 portions
b) $157.25

Step-by-step explanation:

1) 15.36/.32 to get 48 portions

2) Since it's asking for 6.25 0.32kg portions, multiply 6.25 by $25.16 to get $157.25

Answer: Kayden needs 12 more meters of railing.

Step-by-step explanation:

To find the perimeter of the roof garden I added up all the numbers you listed (12m+3m+7m+10m+20m+10m) to get a total perimeter of 62 meters.

Since Kayden already has 50 meters of railing we can subtract that from the total he needs to get the remaining amount needed.

62m - 50m = 12 meters of railing remaining.

By using first principle, the value of Dy/Dx is,

⇒ Dy/Dx = - 7 / x²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = 7 / x

Now, Differentiate the function with respect to x, we get;

⇒ y = 7 / x

⇒ Dy/ Dx = D / Dx (7 / x)

                = 7 D/Dx (1/x)

                = 7 (- 1 × x⁻¹⁻¹ )

                = 7 (- x⁻²)

                = - 7 / x²

⇒ Dy/Dx = - 7 / x²

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Answer:

120

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

The most accurate estimate among the given options is d) 400.

Given that we need to estimate the product of 38 x 9,

To find the product of 38 and 9, you can simply multiply the two numbers together:

38 x 9 = 342

Therefore, the actual product of 38 and 9 is 342.

Now, let's estimate the product using the given options:

a) 30: This is too low of an estimate. 38 is larger than 30, so the product should be greater than 30.

b) 50: This is also too low of an estimate. 38 multiplied by 9 is significantly larger than 50.

c) 120: This estimate is closer to the actual product, but still not accurate. 120 is smaller than the actual product of 342.

d) 400: This is a close estimate. 38 multiplied by 9 is close to 400.

In summary, the most accurate estimate among the given options is d) 400.

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The width of the picture frame with the given area would be = 3.9in

A frame is a structure that can be a rectangle or a square shape which is used to display a picture.

The area of the frame = 60in²

The width of the frame = x

The height of the frame = 4x

The area of a rectangle = length×width

That is ; 60 = X × 4x

60 = 4x²

make X the subject of formula;

X = √60/4

X = √15

X = 3.9 in.

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Answer:

a = 28, b = 12, c = 9

Step-by-step explanation:

The ratio of corresponding sides between the triangles is 4 to 7, or 4/7 (comparing small triangle to the large one).

Set up proportions.

[tex]\frac{16}{a}=\frac{4}{7}\\\\4a=112\\\\a=28[/tex]

Next, find b.

[tex]\frac{b}{21}=\frac{4}{7}\\\\7b=84\\\\b=12[/tex]

Finally,

[tex]c=21-b=21-12=9[/tex]

Answer:

Option D is correct

Step-by-step explanation:

From the question, we have:

[tex]Sack\ 1: B, W[/tex]

[tex]Sack\ 2: G, Y[/tex]

[tex]Sack\ 3: S, R[/tex]

Required

The tree diagram

The selection process is as follows:

[tex]Sack\ 1: B, W[/tex]

[tex]Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y)[/tex] -- i.e. we write sack 2 as a subset of 1

[tex]Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R))[/tex] -- i.e. we write sack 3 as a subset of 2

The only tree diagram that illustrates this is: option D

By using formula and solving we get the item is on sale for $76.

What is selling price?

The selling price is the amount of money that a seller asks for in exchange for a product or service. It is also known as the "list price" or "retail price" and it is the price at which an item is intended to be sold. Selling price is usually set by the manufacturer or the retailer, taking into account the cost of production, distribution, and marketing, as well as competition and market demand. The selling price is usually higher than the cost of production, which includes the cost of the materials, labor, and overhead expenses.

The formula to calculate the selling price of a product or service depends on the information available and the desired level of accuracy. However, there are a few common formulas used to calculate the selling price based on different factors.

Cost-plus pricing formula: This formula calculates the selling price by adding a markup percentage to the cost of the product or service.

The formula is: Selling price = Cost + (Cost x Markup percentage)

If the original price of an item was $95 and it is now on sale for 20% off, we can calculate the sale price using the following formula:

Sale price = Original price x (1 - Discount percentage)

In this case, the discount percentage is 20%, so we can express it as 0.2. Therefore, the formula becomes:

Sale price = $95 x (1 - 0.2)

To calculate the sale price, we need to multiply the original price by (1 - 0.2) which is (1-0.2) = 0.8

Sale price = $95 x 0.8

Sale price = $76

So, the item is on sale for $76.

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Answer: 200inches³

Step-by-step explanation:

The volume of a sphere can be gotten by using the formula:

V = 4/3 πr³

where,

π = 3.142

r = radius = 3.63 inches

Volume = 4/3πr³

= 4/3 × 3.142 × 3.63³

= 4/3 × 3.142 × 47.832147

= 200.38481

= 200inches³

Answer:

y > 13

Step-by-step explanation:

Inequality graph:

Answer:

y>13

Step-by-step explanation:

5<y-8

5+8<(y-8)+8

13< y-8+8

13<y

y>13

Sorry for being late but the answer is B

Answer:

B

Step-by-step explanation: e d g 20 22

Answer:

What is equal to 1,024

Step-by-step explanation:

Since both of the flower will be y = 1 at x = 0, yes, the flowers will be the same​ height at x = 0. And (0,1) is the solution to the system of equation

To know the solution of a system of equation, the two equation can be solved simultaneously.

Given the 2 equations y = 1.5x + 1 and y = 1.2x + 1

Equate the two equations to get x

1.5x + 1 = 1.2x + 1

collect the like terms

1.5x - 1.2x = 1 - 1

0.3x = 0

x = 0

Substitute x in any of the equation.

y = 1.5(0) + 1

y = 1

Yes! The flower will be of the same height at x = 0.

Therefore, (0,1) is the solution to the system of equation. And the flower will be of the same height at x = 0.

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Answer: 34.25/6.5

Step-by-step explanation:

2.5*13.7=34.25

4.9+1.6=6.5

Step-by-step explanation:

2.5x13.7=34.25

4.9+1.6=6.5

Answer: m=3

Step-by-step explanation:

The strategy to finding the slope is the use the slope formula, which Is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Since we are given a point, we can directly plug them in and solve.

[tex]m=\frac{15-0}{5-0} =\frac{15}{5}=3[/tex]

The way we can use mental math is mainly because we are given the origin. We know that anything subtracted by 0 is itself. With the formula, the subtraction gives us 15 and 5. With basic division, we know that 15/5=3.

Answer:

65%

Step-by-step explanation:

39/60 X 100

(39 being the number of movies he rated very good, divided by the total number of movies he watched which is 60)

Answer:

5:30 is the difference between the clocks

Answer:

15393.8cm sorry if im wrong

Answer:

c) m <2 =m <3

Step-by-step explanation:

since the angles 2 and 3 are equal then they should be alternate angles

then c and d are parallel lines

There are five different types of Time complexity analysis:

The computational complexity that describes the amount of computer time required to run an algorithm is known as time complexity in computer science. The time complexity of an algorithm is commonly estimated by counting the number of elementary operations performed by the algorithm, assuming that each elementary operation takes a fixed amount of time to perform.

As a result, the time required and the number of elementary operations performed by the algorithm are assumed to be proportional. Because the running time of an algorithm varies among different inputs of the same size, the worst-case time complexity, which is the maximum amount of time required for inputs of a given size, is commonly considered.

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