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Mila [183]
3 years ago
15

The Latin Club charted a bus to travel to and participate in a state competition. The cost for each adult to ride the bus was $2

5 and the cost for each student to ride the bus was $15.
A total of 17 people rode the bus. The total paid for the bus was $305.

Let a represent the number of adults and s represent the number of students.

Finish the equations below to represent the system and then solve.



25

15
Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0
A + s = 17
25a + 15s = 305
on solving for the values of two variables. we get a = 5 and s = 12
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andrew11 [14]

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4 0
3 years ago
A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximat
Andreas93 [3]

Answer:

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

<u>First, we need to calculate the daily growth rate:</u>

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

<u>Now, by using the following formula, we can determine the population p in any given day t:</u>

FV(p)= PV*(1 + g)^t

<u>For, example after 7 days:</u>

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

<u>For example, after 10 days:</u>

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

4 0
2 years ago
PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.
Liula [17]

Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

7 0
3 years ago
Read 2 more answers
True or false. this set of three numbers are measurements of a right triangle 26, 24, 10
Firdavs [7]

True

using the converse of Pythagoras' identity

Given 3 sides of a triangle, if the longest side squared is equal to the sum of the squares of the other 2 sides then triangle is right.

longest side squared = 26² = 676

sum of other 2 sides squared = 24² + 10² = 576 + 100 = 676

Hence triangle is right


5 0
3 years ago
**CLICK PHOTO TO SEE FULL QUESTION**<br>Does anyone know how it works and the answer?
Nookie1986 [14]
3(the fee per hour) * 5(the number of hours) = 15
15 + 10(the initial fee) = 25
The answer is true.
3 0
3 years ago
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