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harkovskaia [24]
4 years ago
13

What’s the solution for the system? Use the substitution Y-2x=8 16+4x=2y

Mathematics
1 answer:
Yuliya22 [10]4 years ago
8 0
The solution to this system of equations is (-4,0)
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5.67 (performed on a calculator)
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Please Help with math word problem.
motikmotik

Answer:

Adult Tickets: 173

Student Tickets: 43

Explanation:

  • To solve this problem, you'll need to set up a system of equations.
  • Assume a = # of adult tickets sold
  • Assume s = # of student tickets sold

2: a + s = 216; 1: 10.25a+ 8s= 2117.25

2: <<As the total number of tickets sold from both sides is equal to 216>>

1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>

  • Note that there are two ways to solve systems of equations (by elimnation and substitution), in this case I'll use elimnation as substitution requires one of the variables in one of the two equations to be isolated.

  • In this case, I'll elimnate a.

a + s = 216

10.25a + 8s = 2117.25

  • In order to elimnate a, it has to be equal to - 10.25 so that it cancels out + 10.25 (so you have to multiply everything on the first equation by 10.25 ((what you do to one part, you'll do to all the other parts)).

-10.25a -10.25s = -2214

10.25a + 8s = 2117.25

  • a cancels, and now you solve accordingly.

-2.25s/-2.25 = -96.75/-2.25

s = 43

  • You could solve for a using this same method, but it's easier to use the first formula <<a+s=216>> to find a.

a + 43 = 216

- 43 -43

a = 173

4 0
3 years ago
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Show your work!
Amanda [17]

Answer:

P represents the population in year 0

Step-by-step explanation:

The exponential growth function is f(x) = a (1 + r)^t, where a is the initial

amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth

in decimal ant is the time of growth

the function C(t) = P(1 + r)^t represents the population of

centerville at year t, where P is the initial population and r is the

rate of increase

If your investment is increased 10% annually, then that means

each year, your total has multiplied itself by 110% (the growth factor

is 1 + 10/100 = 1.1)

(1 + r) is the factor grows each year

C(t) = P(1 + r)^t

C depends on P(starting population) , r(the increasing rate and

t(the time in year)

r is the rate of increase means the percentage of increasing , then

0 < r < 1

r is not less than 0

P is the initial amount when t = 0

P represents the population in year 0

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How many ways can 4 student ma be chosen from a class of 30 students is ?
andre [41]
That's we can solve by using a combination algorithm: C^4_{30}=\frac{30*29*28*27}{4*3*2*1} = 27405
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Find the annual simple interest rate. I=$17, P=$500, t=2 years
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I=PRT\implies 17=500\times R\times2\implies R=0.017
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