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Sever21 [200]
3 years ago
7

A scuba diving resort hotel offers divers two plans. Plan A gives 3 nights’ lodging and 4 dives. Plan B gives 5 nights’ lodging

and 8 dives. How much does it cost for each night and each dive?
Mathematics
1 answer:
Marizza181 [45]3 years ago
8 0

Answer:

x = 35 and y = 100

Step-by-step explanation:

Let x = dollar cost per dive  and y = dollar cost per night.

ATQ,

4x+3y = 440 .....(1)

and

8x + 5y = 780 .....(2)

Multiply equation (1) by 2.

8x+6y = 880......(3)

Subtract equation (3) from (2).

8x + 5y -(8x+6y)= 780-880

-y = -100

y = 100

Put the value of y in equation (1).

4x+3(100) = 440

4x = 440-300

4x = 140

x = 35

Hence, the value of x is 35 and that of y is 100.

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System of equations graphed below had How many equations?
Dominik [7]

Answer:

<h2>A. 0</h2>

Step-by-step explanation:

The solution of the system of equations are the coordinates of the point of intersection.

We have two parallel lines. The intersection point does not exist.

Therefore, this system of equations has no solution.

3 0
3 years ago
The point A(-8, 6) is translated using T: (x,y) → (x + 5. y - 4). What is the distance from A to A'?
Vsevolod [243]
Translated means the points are moving across the plane without rotating or changing shape. In this case, the x-coordinate would be moving up 5 (x + 5) and the y-coordinate would be moving to the left 4 (y - 4).

A is (-8, 6). A' is the result of the translation from this point. The results of the solution above in A is the point (-3, 2) = A'.

Now you must find the distance between these two coordinates. To find the distance you must use the distance formula: √<span>(x2 - x1)^2 + (y2 - y1)^2. Since you now have two points, A and A', plug these into the distance formula.

</span>√(-3 - (-8))^2 + (2 - 6)^2
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√25 + 16
√41

The distance from A to A' is √41.
8 0
3 years ago
Read 2 more answers
Charlie pays $84 for landscaping rocks for a project. The cost per pound is 50 cents. How many pounds did he purchase? (hint: 50
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Answer:

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Step-by-step explanation:

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If the function graphed is f(x), find f(1).<br> A) -4 <br> B) -1/4<br><br> C) 0 <br> D) 4
Sergeeva-Olga [200]
Answer: choice A) -4

-----------------------------------------------

Step 1) Draw a vertical line through 1 on the x axis

Step 2) Mark the point where the vertical line and the blue curve intersect (or cross each other)

Step 3) Draw a horizontal line through the point marked in step 2. Note how this horizontal line goes through -4 on the y axis. 

So the point (1,-4) is on the blue curve. This means if x = 1 is the input then y = -4 is the output. Recall that y = f(x). So f(x) = -4 is the output as well when the input is x = 1.

In short, this is why f(1) = -4

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Step-by-step explanation:

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