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masha68 [24]
2 years ago
15

The youth group is going on a trip to the State Fair trip cost 63 dollars included in that price is 13 dollars for a concert tic

ket in the cost of 2 passes, one for the rides and one for the game booth. Each of the passes cost the same price, write an equation representing the cost of the trip, and determine the price of one pass, solve your equation by showing your work and steps.
Mathematics
1 answer:
Marina CMI [18]2 years ago
4 0

Answer:

The cost of one pass is 25$

Step-by-step explanation:

Call the cost of one of the passes, P.   So we have

63 =  13 + 2P - subtract 13 from both sides

50 = 2P - divide both sides by 2

25 = P

So the cost of one pass = $25

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TEA [102]
Two factors that give a product of 1600 can be 80 × 20
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3 years ago
A triangle has a side length of 19inches and a perimeter of 95inches. A similar triangle has a corresponding side length of 20in
Rom4ik [11]

Answer:

100 inches

Step-by-step explanation:

A triangle has a side length of 19inches and a perimeter of 95inches. A similar triangle has a corresponding side length of 20inches. Find the perimeter of the larger triangle.

This is calculated using proportion

Side length/Perimeter

Hence:

Side length of smaller triangle = 19 inches

Perimeter of smaller triangle = 95 inchee

Side length of larger triangle = 20 inches

Perimeter of larger triangle = x

19/95 = 20/x

Cross Multiply

19x = 95 × 20

x = 95 × 20/19

x = 100 inches

The perimeter of the larger triangle = 100 inches

4 0
3 years ago
please help I am really stuck on this one!! I would like an explanation with the answer please so I can learn how to do it from
dexar [7]

ANSWER:

x° = 24°

y° = 72°

Analysis on picture hope it helps

4 0
3 years ago
Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth
taurus [48]

Answer:

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\

It is a homogeneous solution:

y_h(t)=c_1e^{-2i t}+c_2e^{2i t}

Now, we finding a particular solution.

y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\

we get

y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

7 0
3 years ago
The area of the rectangle is 6 square feet. If its width is 2 1/7<br> ​feet, find its length.
densk [106]

Answer:

L = 2 4/5 feet

Step-by-step explanation:

A = L x W

6 = L x 2 1/7

divide both sides by 2 1/7

6 divided by 2 1/7 = L (is the same as multiplying by the reciprocal)

6 x 7/15 = L

L = 14/5 or 2 4/5

5 0
3 years ago
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