Which number is closest to the
point on the number line?
A) -7/3
B) 16/11
C) 3/7
D) -5/5

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:

28 pieces

Step-by-step explanation:

If we try to divide 59 by 2 we get an answer of 29 and r1 so the answer would be 1 friend less.

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]

For Quadratic equation, It is possible to know if there are 2 real solutions by examining the discriminant that is [tex]b^2-4ac[/tex] of the equation [tex]ax^2+bx+c[/tex].

In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.

In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.

discriminant : [tex]b^2-4ac[/tex]

if [tex]b^2-4ac[/tex] is positive, Both solutions are real.

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Answer:

134

Step-by-step explanation:

Answer:

y = 4x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (1, 3) ← 2 ordered pairs from the table

m = [tex]\frac{3+9}{1+2}[/tex] = [tex]\frac{12}{3}[/tex] = 4 , then

y = 4x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, 3 ) , then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 4x - 1 ← equation of line

Answer:

x=9.2

Step-by-step explanation:

23/x=17.5/7

cross multiply

17.5x=161

divide

x=9.2

Answer:

Answer is B

0.008

Step-by-step explanation:

Answer:

6)  x = 40.5

8)  x = 16.5

Step-by-step explanation:

6) 45/x = 20/18

simplify and cross-multiply to get:

45/x = 10/9

10x = 405

x = 40.5

8) 22/8 = x/6

11/4 = x/6

4x = 66

x = 33/2

x = 16.5

In a tank that is 36 inches long, 18 inches wide, and 12 inches tall have approximately 33 gallons of water.

The rectangular tank's volume may be calculated using the formula V = l*b* h, where "l" stands for the tank's length, "b" for its width, "h" for its height, and "V" for its volume.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Volume = length*width*height

V=36*18*12

V=7776 inches^3

which is approximately 33 gallons.

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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.

Answer: 10

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

hence we're trying to find leg b.

b=√c2﹣a2=√262﹣242=10

and there, b=10.

Answer:

114

Step-by-step explanation:

hope this helps!

Answer:

114

Step-by-step explanation:

7x18= 126

126+45=171

171 divided by 3=57

57x2= 141

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:

120

Step-by-step explanation:

Sorry for being late but the answer is B

Answer:

B

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

Answer:

1133.54

Step-by-step explanation:

A=πr2

plug in 19 into r

square 19 and multiply by 3.14

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

Answer:

Connie, Josie, Patrick, Mimi, Emma

I took the test, I hope this helps! Its okay, but I tried the answer above, and it wasn't correct

Step-by-step explanation:

Answer:

I am not sure but I think it is D

Step-by-step explanation:

I am nottt smarrttt so sowyyy

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:

5:30 is the difference between the clocks

Answer:

16

Step-by-step explanation:

To calculate x we must use the trig function of tangent:

as tangent is opposite divides by adjacent we can get this equation:

[tex]\tan 30 = \frac{9}{x}[/tex] which is equal to:

[tex]x=\frac{9}{\tan 30}[/tex] So x must equal to 15.588.. (just put the second bit in the calculator

As all the values provided are integers you round this to the nearest whole number:

16 (as the third digit, 5, rounds up)

so our answer is 16

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:

15393.8cm sorry if im wrong

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

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:

30cm

Step-by-step explanation:

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

29.9 so closest 30cm