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Alchen [17]
2 years ago
11

Darius takes his family on an afternoon boat ride.

Mathematics
1 answer:
forsale [732]2 years ago
5 0

Answer:

3.

Step-by-step explanation:

Going through York Canal, he drives 5 miles in 15 minutes.

Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed.

Darius drives 5 miles in 15 mins.

York Canal: 15 mins

15 mins = 5 miles

Stover Lake: 30 mins

30 ÷ 2 = 15

If Darius drives 5 miles every 15 mins, then he will drive 10 miles every 30 mins.

The statement says that 'The distance traveled in York Canal is one half the distance traveled on Stover Lake.'

The distance travelled in York Canal is 5 miles.

The distance travelled on Stover Lake is 10 miles.

The double of 5 is 10.

You might be interested in
What is the quotient of 59,584 ÷ 14?
zloy xaker [14]

Answer:

B

Step-by-step explanation:

We can divide using the calculator by entering in 59, 584 first followed by 14 before the division sign.

We can also perform long division:

       __<u>4256_</u>____

 14  |   59, 584

        <u>  -56__</u>__

              35

           <u>   -28____</u>

               78

             <u> -70_</u>___

                 84

             <u>   -84_</u>___

                   0

3 0
3 years ago
Fgh is first translated using the rule x,y &gt;x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at th
maw [93]

Answer:

Rule:

h = (1 - y,x + 3)

Step-by-step explanation:

<em>I will answer generally, since the coordinates of f, g and h are not given</em>

Given

Point: x, y

Translation Rule

1 : x + 3, y - 1

2: 90 degree counterclockwise

Required

Determine the new coordinates

<u>At the first translation of (x,y) by x + 3, y - 1</u>

The new point is: (x + 3, y - 1)

<u>At the second translation (90 degrees counterclockwise)</u>

When a point (x,y) is translated using this rule, it becomes (-y,x)

So, the new point is:

h = (-(y - 1),x + 3)

h = (1 - y,x + 3)

If the initial point of h is (2,3),

The new point is:

h = (1 - 3, 2 + 3)

h = (- 2, 5)

5 0
3 years ago
Find the Product<br> (2 X 6) X 10 to the power of 3
photoshop1234 [79]

Answer:

 1728000

Step-by-step explanation:

You always work from the parenthesis first because of order of operation. You have 12( because 2 times 6) then mulitply 12 times 10. You get 120 then you multiply it but itself 3 times. 120 x 120 x 120= 1728000

6 0
3 years ago
Read 2 more answers
Verify the following <br> i.[ -3/4]3 = -27/64<br> ii. [-2/3]6 = 64/ 729
Juliette [100K]

Answer:

The relationships are correct and valid

Step-by-step explanation:

The correct question is as follows;

Verify the following

i.[ -3/4]^3 = -27/64

ii. [-2/3]^6 = 64/ 729

We have the solution as follows;

i) we have;

(-3/4)^3

That means ;

-3^3 = -3^3 = -27

4^3 = 64

so;

(-3/4)^3 = -27/64

ii) (-2/3)^6

(-2)^6 = 64

3^6 = 729

Thus;

(-2/3)^6 = 64/729

4 0
3 years ago
5x + 6y = 20 , 8x - 6y = -46
serg [7]

Answer:

5x + 6y = 20_____(1)

8x - 6y = -46_____(2)

Solving simultaneously:

Eqn(1) + Eqn(2)

5x + 8x + 6y + (-6y) = 20 + (-46)

13x = -26

x = -2

substituting this into Eqn (1):

5(-2) + 6y = 20

-10 + 6y = 20

6y = 30

y = 5

hence:

x = -2,y = 5.

7 0
3 years ago
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