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3 years ago

Please answer this and show work if possible. thanks! :)

Mathematics

1 answer:

Ivahew [28]3 years ago

7 0

Yes they do. Notice that for each step in x there a +4 in y. If you want an equation we can set it up with the inforation given
$y = 4x$
Yes theres a relationship because for every meter she runs it takes her 4 minutes for each.

(Kelly must be really tired or is just really slow)

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Number of rides marine can go on ?

saul85 [17]

Answer:

Check step by step explanation

Step-by-step explanation:

a) Let x represent the amount of rides she takes, the 6 and 2.5 represent the amount of money required to enter

A(x) = 1.5x + 6

B(x) = 2x + 2.5

b) You can find this by making the 2 equations equal to each other and solving for x

1.5x + 6 = 2x + 2.5

3.5 = .5x

7 = x

7 rides make them equal cost

c) Plug in 5 for each of the equations and find out which one is cheaper

A(5) = 1.5 * 5 + 6

A(5) = $13.50

B(5) = 2 * 5 + 2.5

B(5) = $12.50

Carnival B is cheaper

4 0

4 years ago

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

MAXImum [283]

General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know $x = 6$ & $kx = 7.2$

Substituting 6 for x in the equation $kx = 7.2$ , we get $6k = 7.2$ .

Dividing 6 on both sides $\frac{6k}{6}=\frac{7.2}{6}$

Simplifying fractions on both sides $k=1.2$

Point A from the diagram is (-3, 3)

x-coordinate of A' = $kx=1.2 * -3 = -3.6$

y-coordinate of A' = $ky =1.2*3=3.6$

Point A' is given by (-3.6, 3.6)

Conclusion:

<u>Scale factor of dilation is 1.2</u>

<u>The coordinates of point A' is (-3.6, 3.6)</u>

6 0

4 years ago

Read 2 more answers

Find the unit rate for miles per hour. Round to the nearest hundredth if necessary. A cyclist rides 65 miles in 3 hours.

Natasha2012 [34]

22 (rounded to the nearest one)

4 0

3 years ago

A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. they make batches of duck calls that fill

SIZIF [17.4K]

Answer:

Option A is the correct choice.

Step-by-step explanation:

Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.

We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.

Further, the company plan to make $300. We can represent this information as:

$35d+45t=300...(1)$

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:

$6d+8t=42...(2)$