Miguel is driving his motorboat across a river. The speed of the boat in still water is 13 mi/h. The river flows directly south at 5 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? (Not drawn to scale)


a. 21 mi/h; 13.9 north of west
b. 13.9 mi/h; 21 south of west
c. 13.9 mi/h; 21 north of west
d. 21 mi/h; 13.9 south of west

Answer:

The answer should be C

Step-by-step explanation:

I hope that it helps you!

Step-by-step explanation:

56048 divided by 543= 103.219153

Answer:

its 103.2

Step-by-step explanation:

Answer:

what is the value of {n}to get product 35?

Step-by-step explanation:

(n is seven by the way!!)

Answer:

James is buying lemons for his grandmother, if 5 lemons cost $35, then how much does 1 cost? (n=7 if you are solving)

Step-by-step explanation:

Answer:

Part A: Choice 3) Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.

Part B: Exactly 4 11/12 cups

almost equal to 5 cups

Step-by-step explanation:

The missing part of the question is :

2 1/2 cups of pears. 2/3 cup of grapes 1 1/4 cups of apples 1/2 of orange slices .

Pears + apples

2 1/2+1 1/4 =

5/2 + 5/4

= 10+5/4

= 15/4

= 3 3/4 cups

Reasonable. The pears and apples is about 3 cups and the grapes

and oranges is exactly 2 cups. This statement is wrong.

Grapes and oranges

2/3 + 1/2

= 4+3/6

=7/6

=1 1/6 cups

grapes and apples

2/3 cup of grapes 1 1/4 cups of apples

2/3 + 5/4

= 8+15/12

= 23/12

= 1 11/12 cups

pears and oranges

2 1/2 cups +1/2 of orange slices

3 cups

Reasonable. The grapes and apples is about 2 cups and pears and

oranges is exactly 3 cups. this statement is true as shown above.

N.B the answer may vary due to the different measurements given in the missing part of the question.

Part B:

grapes and apples + pears and oranges

1 11/12 cups +3 cups

= 23/12+ 36/12

= 59/12

= 4 11/12 cups

Answer:

x=9

Step-by-step explanation:

Subtract 2 from both sides:

[tex]\sqrt{x} =3[/tex]

square both sides, so:

x=3^2 = 9

Answer:

the 2

Step-by-step explanation:

Part A (Printer): $12.63

Part B (Computer): $180.83

A:

"take advantage of the cash discount" Since Janet is taking the cash discount we need to use the terms.

2/10 => Means if paid in 10 days apply a 2% discount

($880 - $100) = $780  (This is because of the trade discount stated also)

$780 * 0.98 = $764.40  

(Note: 0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02) )

$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)

No Discounts: ($780 - 764.40) = $15.60

Discounts: $2.9726666

How much would Janet save?

$15.60 - $2.9726666 = $12.62733 = $12.63

===============================================

Question has a part B:

"On the computer, what is the difference in the final payment between choices 1 and 2?"

Note: Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000

(1) "$155 per month for 17 months" => $155 × 17 = $2,635

Last payment $3,000 – $2,635 = $365

(2)-------------- Note: 18 Months = 1.5 Years

$3,000 × 0.07× 1.5 = $315

$3,000 + $315 = ($3,315) / 18 Months = $184.1666

Difference in the final payment?

$365 - $184.1666 = $180.8334 = $180.83

A. Janet would save $12.63

B. Computer: $180.83

Since Janet is taking the cash discount we need to use the terms.

"take advantage of the cash discount"

2/10 => Means if paid in 10 days apply a 2% discount

($880 - $100) = $780  (This is because of the trade discount stated also)

$780 * 0.98 = $764.40  

[0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02)]

$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)

No Discounts: ($780 - 764.40) = $15.60

Discounts: $2.9726666

Janet would save = $15.60 - $2.9726666 = $12.62733 = $12.63

Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000

(1) "$155 per month for 17 months" => $155 × 17 = $2,635

    Last payment $3,000 – $2,635 = $365

(2) 18 Months = 1.5 Years

    $3,000 × 0.07× 1.5 = $315

    $3,000 + $315 = ($3,315) / 18 Months = $184.1666

Difference in the final payment= $365 - $184.1666 = $180.8334 = $180.83

Learn more about discount problem here :

https://brainly.com/question/1153417

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Answer:

3x+6=8x-49,

-6. -6

__________

3x=8x-55

-8x. -8x

________

-5x=-55

x=11,

3(11)+6=39

8(11)-49=39

Step-by-step explanation:

Answer:

11.71

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The slope of the line GH is -3/2, so move point H to (1,-3), and move up 3 and left 3 to get translated point G.

Answer:

Step-by-step explanation:

Given the equations of the following line

K: x+2y=6

P: 6x + 3y=12

M: -x+ 2y=10

First we need to get the slpe of each line as shown;

For K:

K: x+2y=6

Rewrite in standard form;

2y = -x + 6

y = -1/2 x + 6/2

y = -1/2 + 3

Slope of K is -1/2

For P:

P: 6x + 3y=12

Rewrite;

3y = -6x + 12

y = -6/3 x + 12/3

y = -2x + 4

Slope of P is 2

For M;

M: -x+ 2y=10

Rewrite

2y = x + 10

y = 1/2 x + 10/2

y = 1/2 x + 5

Slope of M is 1/2

Taking the product of slope K and P

Mk * Mp = -1/2 * 2

Mk * Mp = -1

Since the slope of K and P is -1, hence line M and line P are perpendicular

Answer:

222 cm²

Step-by-step explanation:

Each triangle's area is 6 cm², each side rectangle's area is 75 cm², and the bottom rectangle's area is 60 cm². Since there are two triangles, two side rectangle's, and one bottom rectangle, you would add all of their areas together:

6 + 6 + 75 + 75 + 60 leads you to the answer of 222 cm².

Answer:

16π

Step-by-step explanation:

Area= 64π

or, πr²= 64π

or, r²= 64

r= 8

circumference= 2πr= 2×π×8 = 16π

Answer:

4 friends will get watermelon

Step-by-step explanation:

1. 1 1/2 + 1 1/2 = 3

2. 1 1/2 + 1 1/2= 3

3. 3+3=6

4. Now count how many times we added 1 1/2.

5. If you counted correctly, you should've gotten 4.

Answer:

3

Step-by-step explanation:

12 / 4 = 3

Answer:

3 1/4 qt.

Step-by-step explanation:

5 1/2 - 2 1/4 = 3 1/4

Answer:

376.8 ft²

Step-by-step explanation:

that is the correct answer for you friend

Answer:

(-14,0)

Step-by-step explanation:

lets find the equation of the line first

so lets take two points (-74,18) and (-54,12)

so slope is rise/run= -6/ 20 or -3/10

plugging into the equation

y= mx+b

we get

12= 5.4*3+b

12= 16.2+b

b= -4.2

so equation is y= -.3x-4.2

simplyfying we get

10y= -3x-42

3x= -10y-42

x= -10y-14

so we see that the x intercept is (-14,0)

if my answer helps please mark as brainliest.

Answer:

-14,0

Step-by-step explanation:

Answer:

The product of 2 and 3/6 is 1

Another expression equal to 2 x 3/6 is 4 x 1/4

Step-by-step explanation:

To find the product of 2 and 3/6, you should first simply 3/6. Find the GCM of 3 and 6. The GCM should be 3, so you divide each side by 3. Then you multiply 1/2 and 2 which is 1. To find another product of 2 x 3/6, you could just another fraction for 1/2.

Hope this helps

The another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is the the product of 2 and 3/6.

We can write -

2 x 3/6 = 1

We can write another expression that is equal to the product of 2 & 3/6 as -

3 x 9/27

Therefore, the another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

To solve more questions on equation modelling, visit the link-

brainly.com/question/29014197

#SPJ2

Answer:

6) x=5

7)x=6

8)x=10

9)x=12

Step-by-step explanation:

6) 3x-5=10. 7) 36=4x+12. 8) 3(x+2)=36

+5 +5. - 12. - 12. 3x + 6=36

3x = 15. 24 = 4x. - 6. -6

÷3. ÷3. ÷4. ÷4. 3x=30

x=5. 6 = x. x = 10

9) 7(2x-15)=63

14x - 105=63

+105. +105

14x = 168

÷14. ÷14

x=12

f(x) = 3x2 - 4x - 3

g(x) = 5x + 2

h(x) = 3x2 + 4x-

Answer:

the answer is 77

Step-by-step explanation:

g/7=11

to find g you do inverse operations

7x11=77

have a great day :D

Answer:

77

......................

Answer:

C (2x+1)

Step-by-step explanation:

I hope this helps!

Answer:

3455/72

=47.9861111111

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

  down = 0.095×$214,000 = $20,330

__

b) The amount of the loan is the remaining value after the down payment is made:

  $214,000 -20,330 = $193,670

__

c) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

  A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

__

d) The total cost of the house is ...

  down + (monthly payment)×(number of months)

  = $20,330 + $560.35×420

  = $255,677

Answer:

x= -7

Step-by-step explanation:

Answer:

LCM=4

4x3 /4 x 3/4 (x+21)=101/2x4

multiply through by the lcm

3x=20-21

3x/3=-1/3

the answer is-1/3

hope it helps

Answer:

Yes, because it crosses through (-2) at a rate of 1/3

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me