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Gennadij [26K]
2 years ago
7

a person travels 8 miles due north, 3 miles due west, 7 miles due north and 11 miles due east. how far so the person from the st

arting point?
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
7 0

Answer:

The correct answer would be 7. Explaination below

Step-by-step explanation:

8 + 7 = 15

15 + 3 = 18

18 - 11 = 7


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6 times the sum of 3 consecutive odd intergers is -18
Lyrx [107]
The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
_______________
To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
____________________________________
The sum of these three consecutive odd integers:
__________________________________________
x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
_________________________________________
Six ("6") times the sum of these 3 (three) consecutive odd integers =
_________________
6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
_____________________________________________
Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1"; 
__________________________________________
{6(3x + 6) } / 6 = -18 / 6 ;  to get:
________________________________________
3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
__________________________________
3x + 6 - 6 = -3 - 6 ; to get:
__________________________________
3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
___________________________________
3x / 3 = -9 / 3 ;  x = - 3 ;
_____________________
Remember, from above:
__________________________
Let "x" be the first odd integer.  We know that "x = -3".
         Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer.  So (x+2) = (-3+2) = -1.
        Is this an odd integer? Yes!  Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
       Is this an odd integer? Yes!  Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
___________________________
So, our 3 (three) consecutive odd integers are: -3, -1, 1.
___________________________
To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
___________________________





3 0
2 years ago
4. Write the equation
Llana [10]

Answer:

a.give the y-intercept

8 0
3 years ago
Read 2 more answers
griffin ordered a pair of sneakers online. he had 16 credit that he applied toward the purchase, and then he used a credit card
Doss [256]

Answer: Griffin charge $79.854 to his credit card when he bought the sneakers.

Step-by-step explanation:

Griffin ordered a pair of sneakers online.

Value of each credit point = 1 cent

Then , value of 16 credit points = 16 cents = $0.16 [1$ = 100 cents]

Cost of shoes = Rs $80

Charge to credit card = (Cost of shoes) - (Value of 16 credit points)

= $(80-0.16)

= $79.84

Hence, Griffin charge $79.854 to his credit card when he bought the sneakers.

4 0
3 years ago
I WILL MAKE YOUR ANSWER THE BRAINLIEST IF YOU KNOW IT IS RIGHT
Bad White [126]

Answer:

54π

Step-by-step explanation:

To find the volume of a cylinder, you multiply the area of the base times the height.

The formula for the area of a circle is πr², so the base is 9π units².

Multiplying that by the height (6 units) gives you 54π units³.

5 0
3 years ago
Read 2 more answers
Find functions f and g such that h = g ∘ f. (note: the answer is not unique. enter your answers as a comma-separated list of fun
polet [3.4K]

It is given in the question that

h(x) = (fog)(x) = x^2 -81

And x^2 -81

can also be written as

(x^2 -40) -41

Therefore,

(fog)(x) = (x^2 -40)-41

f(g(x)) = (x^2 -40)-41

That gives,

g(x) = x^2 -40, f(x) = x-41

7 0
3 years ago
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