Two groups of hikers leave the same camp heading in opposite directions. The first group travels 4 miles north and 3 miles east. The second group travels 2 miles south and 5 miles west.

a. Draw the situation in the coordinate plane using a right triangle. Use the origin as the camp location, and let each unit represent 1 mile. For example, the point (2, 1) would represent 2 miles east and 1 mile north of the camp.

b. Determine the distance between the two groups after the hikes.


Question 2
The distance between the two groups is __ miles.

Answer:

1st one: 2244

2nd one: x= -17/158

3rd one: 2652x

Step-by-step explanation:

hope this helps btw (s y m b o l a b) is a free math calculator that gives step-by-step answers i hope this helps :) have a nice day !!

Answer:

Step-by-step explanation:

[tex]C=2\pi r\\ \\ C=2(9)\pi\\ \\ C=18\pi ft\\ \\ C\approx 56.55ft[/tex]

Answer:

1.   x< 3

2.   x>12

have a great day :)

Step-by-step explanation:

Answer:

24.2 units²

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] a( b + c)

Substitute the given values for a, b and c , that is

A = [tex]\frac{1}{2}[/tex] × 4.4 × (8 + 3)

   = 2.2 × 11

   = 24.2

Answer:

8

Step-by-step explanation:

7 and 8 are the angles so we need to find the decimal in the problem

Answer:

$36.01

Step-by-step explanation:

141.82 - 8.25 = 133.57

133.57-97.56=36.01

The collector earned a total of $36.01 by selling the book.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

The collector earned $141.82 - $97.56 = $44.26 by selling the book.

To find the total amount the collector earned, we need to subtract the price they paid for the book from the price they sold it for. This gives us the profit that the collector made on the sale of the book.

However, we also need to subtract the auction fees that the collector had to pay.

The collector paid $8.25 in fees, so their total earnings from the sale of the book were :

⇒ $44.26 - $8.25

Apply the subtraction operation, and we get

⇒ $36.01.

Therefore, the collector made a total of $36.01.

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I got 41

Step-by-step explanation:

Symbolab is helpful

(-5 , 6) 5x + y = 10

                             ⤸

y = 5.6 * 5x = 10

I. move the expression to the right

y = 10 + 5.6 * 5x

II. reorder the terms

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

Answer:

40

Step-by-step explanation:

60-20=40

Bern has 60. Delhi has 20. Subtracting those =40

Answer:

61 ounces

Step-by-step explanation:

1 pound = 16 ounces

8 pound 3 ounces = 8*16 + 3 = 128 +3 = 131 ounces

No Jesse's weight = 12 pounds = 12*16 = 192 ounces

Weight gained = 192 - 131 =  61 ounces

Answer:

5.408

Step-by-step explanation:

1=5.20

0.25=408

Answer:

-16

Step-by-step explanation:

2(8)=16, 25+(-16)=current debt after 8 weeks

Given:

The company charges $250 for the onetime set-up fee and $23 for each printed jersey.

To find:

The expression that represents the total cost of x number for the team.

Solution:

We have,

Fixed charges = $250

Additional charges = $23 per printed jersey

Let x be the number of printed jersey. Then,

Additional charges = $23x

Total chargers = Fixed charges + Additional charges

                        = $(250 + 23x)

Therefore, the expression for the total charges is $(250 + 23x).

Answer:

Before heading towards the solution, you need to make sure how multiple and factors are related to each other.

The multiple of a number could be obtained by multiply it with another number.

For example, the first five multiples of 12 are 12, 24, 36, 48 and 60

1 X 12 = 12

2 X 12 = 24

3 X 12 = 36

4 X 12 = 48

5 X 12 = 60

Factors are the numbers that are multiplied to get a given number.

For example,

1 X 12 = 12

2 X 12 = 24

3 X 12 = 36

The factors of 12 are 1, 2, 3, 4, 6 and 12.

As division and multiplication can be used to find factors and multiples.

For example a whole number is a multiple of its factors.

Let w = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} be the set of even wholes numbers from 2 to 20.

As 2 is a factor of 20 because 20 ÷ 2 = 4

20 is a multiple of 2 because 2 X 10 = 20

So, in the same way, the equation 8 X 5 = 40 can be used to determine how factors and multiples are related.

Let the equation be

                                   8 X 5 = 40

8 is a factor of 40 because 8 X 5 = 40

40 is a multiple of 8 because 40 ÷ 5 = 8

So, this is how factors and multiples are related to each other.

Answer:

x = -17

Step-by-step explanation:

To simplify, we need to solve within the parentheses first:

-3(2 + 6x) + 7x

(-6 - 18x) + 7x

Next, we combine like terms:

-6 - 18x + 7x

-6 - 11x

Next, we isolate the variable "x":

-6 - 11x

/x

-6 - 11 = x

Combine like terms:

x = -17

Hope this helps :)

Answer:−

11x-6

Step-by-step explanation:

Rearrange terms

-3(2+6x)+7x

-3(6x+2)+7x

DIStribut

-3(6x+2)+7x

-18-6+7x

Combine like terms

-18-6+7x

-11x-6

Answer:

1,569.23 miles is the total trip

Step-by-step explanation:

816 x 100 = 81,600

81,600 / 52

1,569.23

Answer:

The answer is C

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

you have to times 22 times 3 to get the sq. units

Answer:

jimmy is 18

Step-by-step explanation:

3+18=21 Hope this helps!

Answer:

Drew is 12 and Jimmy is 9

Step-by-step explanation:

12+9=21

;-;

Answer:

x = 5

y = 0

Step-by-step explanation:

3x + y = 15

3x -y = 15

Add the two equations;

6x = 30

Inverse operations;

6x = 30

/6        /6

x = 5

Back substitute;

3(5) + y = 15

15 + y = 15

y = 0

Answer:

Step-by-step explanation:

1.

-1/2*12p = -6p

-1/3* -42= 21

-6p+21=-33

-21. -21

-6p=-54

p= 9

(plug 9 in)

2. n= -5

Answer:

the slope is undeifined

hope this helps :)

Answer:

undefined

Step-by-step explanation:

the formula for the slope of a line is m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

m = (6-10)/(-3+3) = -4/0 = undefined, you cannot divide by zero.

Answer:

22/7*11*11=38.285

this must be ans

Answer:

1. ⅔x

2. 3/2x

3. 3/2x

4. -7/5x

5. 1x

6. no slope

7. ½

8. -1x

9. 8/3x

10. -1x

11. -½x

12. 9x

13. -1x

14. -¼

Answer:

62% = 0.62 in decimal form. Percent means 'per 100'. So, 62% means 62 per 100 or simply 62/100. If you divide 62 by 100, you'll get 0.62 (a decimal number).

The decimal of 62% is 0.62

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

We have to change 62% in decimal.

As, 62%

= 62/100

And, the number of zeroes in denominator decimals where to put the decimal.

so, 62/100

= 0.62

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Answer:

25%

Step-by-step explanation:

Let x represent Akira income and let y represent Hideo income.

Since Akira earns five-eighths of what Hideo earns, therefore Akira income is given by:

x = (5/8)y

Let a represent Akira expenses and let y represent Hideo expenses. Since Akira expenses is half of Hideo, hence:

a = (1/2)b; b = 2a

Given that Akira savings is 40% of his income, we have:

savings = income - expenses

40% of x = x - a

a = x - 0.4x

a = 0.6x

For Hideo:

Income = y, expenses = b = 2a

Savings = income - expenses

Savings = y - 2a

Savings = y - 2(0.6x) = y - 1.2x

Savings = y - 1.2(5/8)y

saving = y - 6y/8

savings = 2y/8 = 0.25y

Therefore Hideo saves 25% of his income

Answer:

Y=-3/2x+2

Step-by-step explanation:

Answer:

y=-1.5x+2

Step-by-step explanation: