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scoray [572]
2 years ago
8

it costs 13$ for admission to amusement park, plus 1.50$ for each ride.if you have a total of 35.50 to spend, what is the greate

st number of rides you can go on
Mathematics
1 answer:
ICE Princess25 [194]2 years ago
3 0

Answer:

<em>Thus, the greatest number of rides I can go on is 15 rides</em>

Step-by-step explanation:

I have $35.50 to spend for admission plus rides in the amusement park.

Admission costs $13. That leaves me with

$35.50 - $13 = $22.50

to spend on rides.

Considering each ride costs $1.50, we can find the maximum number of rides by dividing the remaining money by the cost per ride as follows:

$22.50 / $1.50 = 15

Thus, the greatest number of rides I can go on is 15 rides

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The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Finger [1]

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

<h3>The Midpoint Formula</h3>

The midpoint formula is given as: (x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )

<em>Where</em>,

(x_m, y_m) = coordinates of the midpoint

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Given the following:

(x_m, y_m) = M( 6,-4)

(x_1, y_1) = G(8,-2)

(x_2, y_2) = H(?, ?)

Plug in the values into the midpoint formula

M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )

Solve for the x-coordinate and y-coordinate separately

6 = \frac{8 + x_2}{2}

  • Multiply both sides

6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}

-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

brainly.com/question/13115533

3 0
2 years ago
My sister can walk from school to home in 35 minutes. I can walk from school to home in 20 minutes. But today I stayed for some
Verizon [17]

Answer:

you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

Step-by-step explanation:

Let "d" be distance from school to home.

Let's find the speed of you and your sister.

Speed = \frac{Distance}{Time}

Your speed = \frac{d}{20}

Your sister's speed =  \frac{d}{35}

Today, You stayed for some extra help by the time your sister covered \frac{3}{7} of the way home.

Remaining distance to reach the home = 1 - \frac{3}{7}d  = \frac{7-3}{7}d = \frac{4}{7}d

=

Now let's find the time to be taken your sister to reach the home.

Time = \frac{distance}{speed}

= \frac{\frac{4}{7}d }{\frac{1}{35} d} = \frac{4}{7} *\frac{35}{1} = 20

So, your sister will take 20 minutes to get home by the time your start.

We know that it takes you 20 minutes to reach your home.

Therefore, you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

7 0
3 years ago
What is the inequality that would represent: The sum of two numbers is<br> less than 4?*
MArishka [77]

Answer:

x+y<4

Step-by-step explanation:

4 0
3 years ago
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Vikki [24]
27 1/6 or 163/6 or 27.16
6 0
3 years ago
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Sound travels through air at about 13 of a kilometer per second. If thunder is heard 6 seconds after a flash of lightning, about
Margarita [4]
If sound travels through air at around 13 of a kilometer per second, and thunder is heard 6 seconds after a flash of lightning, it would be 78ths of a kilometer. Although, I can't simplify that for you. Sorry. ^-^
8 0
3 years ago
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