A boat traveled 12 miles north and then
22.5 miles east. What is the shortest
distance the boat must travel to return
to its starting point?

Answer:

See attachment for number line

Step-by-step explanation:

Given

[tex]Ian = \frac{6}{8}[/tex]

[tex]Anna = \frac{3}{4}[/tex]

Required

Number line to represent both amounts

The interval on the number line is 16.

So, we need to calculate the position of both as thus.

[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]

[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]

So, both will be positioned on the 12th position.

The yellow dot represents Anna while the blue dot represents Ian

See attachment for their position on the number line

Answer:

We start with the equation:

(x^2 - 1)/(x + 1) = 2

We want to rewrite this in standard form.

We can multiply both sides by (x + 1) to get:

((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)

x^2 - 1 = 2*(x + 1) = 2*x + 2

Now we can move all the terms to one side to get:

x^2 - 1 - 2 - 2*x = 0

x^2 - 2*x - 3 = 0

And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:

[tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} = \frac{2 \pm 4}{2}[/tex]

Then the two solutions are:

x = (2 + 4)/2 = 3

x = (2 - 4)/2 = -1

Answer:

La respuesta es falso

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

Answer:

its 4

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

( 2 + 4 + 6 + 8) / 4  = 5

Step-by-step explanation:

2+4+6+8=20

numbers of digits=4

average=sum of observation/numbers of observation

average=20/4=5

MARK ME AS A BRAINLIST, sister

the second one, and the third one

According to the function Graph 2 , 3 and 4 are correctly graphed.

It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

To determine which are the functions whose domain value match with that of the graph drawn ,

The values of the domains needs to be checked at various points , those graph are drawn correctly will correlate with the function values.

Graph 1 is not correctly graphed

Graph 2 , 3 and 4 are correctly graphed according to the function.

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Answer:

24

Step-by-step explanation:

all the other numbers are not that far in range from each other but 24 is way off so its the outlier

Answer:

it would be 20 ( I am pretty sure this is correct )

Answer:

D(last answer choice)

Step-by-step explanation:

(5x-6)(3x+4)

Foil it out to get:

[tex]15x^2+20x-18x-24[/tex]

This simplifies to:

[tex]15x^2+2x-24[/tex]

Answer:

3p+2p+8-3=15

5p+5-15=0

5p-10=0

5(p-2)=0

(if you want to solve it p=2)

Answer:

x y

12 100

13 70

14 40

Step-by-step explanation:

Answer:

Pam 6

Tia 8

Veronica 11

Lily 15

Step-by-step explanation:

Tia's age = 8

Pam's age = Tia's age - 2

8 - 2 = 6

Veronica = pam's age + 5

6 + 5 = 11

Lily's age = veronica's age + 4

11 + 4 = 15

Answer:

528.6

Step-by-step explanation:

find the circumference of the circle using:

πd: 22/7*74

add the length of the 4 strokes: 37*8

add the two:

Answer:

528.48cm

Step-by-step explanation:

Total length of all the spokes

37cm*8 = 296cm

Length of the circular rim

2πr = Circumference

2(37)π = 74π

74π = 232.48cm

Overall Length

232.48cm + 296cm = 528.48cm

Answer:

3.14ft²

Step-by-step explanation:

Area of a circle= πr²

= 3.14 x 1²

= 3.14 x 1

= 3.14 ft²

Answer: 19.2%

Step-by-step explanation:

APR= (2(n)(r))/(n+1)

APR= 2(6)(0.112)/(6+1)

APR= 19.2

n= number of monthly payments (6)

r= the rate (11.2% or 0.112)

The solution is Option C.

The annual percentage rate of Penny is 22.4 %

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.

Given data ,

Let the annual percentage rate be represented as A

Now , the value of A is

The simple interest rate R of Penny = 11.2 %

The time period of Penny n = 6 months

The annual percentage rate is calculated by = ( 12 x R ) / n

Substituting the values in the equation , we get

The annual percentage rate A = ( 12 x 11.2 ) / 6

The annual percentage rate A = 2 x 11.2

The annual percentage rate A = 22.4 %

Therefore , the value of A is 22.4 %

Hence , the annual percentage rate is 22.4 %

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Answer:

1

Step-by-step explanation:

We plug in 4 for m and 1/2 for n.

[tex]\frac{4}{8(\frac{1}{2}) }[/tex] = [tex]\frac{4}{4}[/tex] = 1

Hope this helped!

Answer:

14 mm

Step-by-step explanation:

perimeter of a square is a + b

and all sides are equal to each other since its a square

therefore it is 14 mm each

Answer:

11.   -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!

Answer:

11.   -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

those are you answers... you can mark the other guy brainliest i have enough

Step-by-step explanation:

Answer:

still

Step-by-step explanation:

still thinking sorry

Answer:

the answer is 4 × (17 - 9)

difference = 17 - 9

product 4 times

Answer:

answer is 8

Step-by-step explanation:

Area= LxW (length times width)

length is 4 width is 2

4x2 equals 8

Answer:

b

Step-by-step explanation:

A collection of all points in the plane of the form [tex](x, f(x))[/tex] is the graph of a function f. The graph of f is defined as the graph of the equation [tex]y = f(x)[/tex].

Graph

[tex]\to[/tex] f(x)=|3x−4|

[tex]\to[/tex] f(x)+3 =?

putting the [tex]f(x)[/tex] value into the [tex]f(x)+3[/tex] and calculate the given value:

[tex]\to[/tex] |3x-4|+3

[tex]\to[/tex] 3x-4+3

[tex]\to[/tex] 3x-1

Therefore, the final answer is "Option B".

Find out more about the graph function here:

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Answer:

9 : 2 : 4

Step-by-step explanation:

Given

72 : 16 : 32 ( divide each part of the ratio by 8, the LCM of 72, 16, 32 )

= 9 : 2 : 4

Answer:

y=15

Step-by-step explanation:

Answer:

y=15

Step-by-step explanation:

To find y:

8y=120 –––Divide both sides by 8 so you can get y alone

y=15

Answer:

oopsie delete this

Step-by-step explanation:

Answer:

its the fortnite man can i get brainlest plsss

Step-by-step explanation: