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Luba_88 [7]
3 years ago
11

Sierra is going on a field trip that costs $48. The cost includes $20 for transportation and two tickets that each cost the same

amount. How much does each ticket cost?
Mathematics
1 answer:
True [87]3 years ago
5 0
We know that there are two tickets (which we'll represent with x) and a fee for transporation (which is $20)

So we can set up the equation 20+2x=48

We want to isolate x so we'll subtract 20 from each side, which gives us the equation
2x=28

Then divide each side by 2
Giving us the final answer of

x=14

So each ticket costs $14
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The vertices of polygon ABCD are at A(1, 1), B(2, 3), C(3, 2), and D(2, 1). ABCD is reflected across the x-axis and translated 2
Lana71 [14]

-- Reflecting across the x-axis makes all the x-coordinates the negative of
what they were before the reflection.  The y-coordinates don't change.

-- Translating 2 units up makes all the y-coordinates 2 greater than
they were before the translation.  The x-coordinates don't change.

You didn't give us a list of new coordinates, so there's nothing
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8 0
3 years ago
Calculus 3 chapter 16​
o-na [289]

Evaluate \vec F at \vec r :

\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k

Compute the line element d\vec r :

d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt

Simplifying the integrand, we have

\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt

Then the line integral evaluates to

\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}

3 0
2 years ago
The coordinates of a triangle's vertices are A(2, 4), B(3, 1), and C(5, 5). The triangle undergoes a translation 4 units to the
AlekseyPX
South west

Shifting 4 units left (decreasing in x-axis by 4 units)
Shifting 5 units down (decreasing in y-axis by 5 units)

Apply to every vertices coordinates(x - 4, y - 5)

New coordinates

A(-2, -1)
B(-1, -4)
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5 0
3 years ago
What’s the percentage of 17/28
ad-work [718]

Answer:

60.7%

Step-by-step explanation:

Use division to convert the fraction to a decimal: 17/28 = 17 ÷ 28 = 0.607

Multiply by 100 to get percent value: 0.607 × 100 = 60.7%

3 0
3 years ago
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
viva [34]

Answer:

y = -3    m = -1     b = 3

Step-by-step explanation:

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To isolate the y variable, divide both sides by -3.

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y = -3

m = -1

b = 3

8 0
3 years ago
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