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3 years ago

Use elimination to find the solution to the system of equations. -x+2y=9 4x+5y=3

1 answer:

3 0

Let's eliminate x. Mult the first eq'n by 4, obtaining

-4x + 8y = 36

Now add the 2nd equation to this result:

-4x + 8y = 36
4x + 5y = 3
--------------------
13y = 39, so y = 3.

Subst. 3 for y in the 2nd equation and solve the result for x:

4x + 5(3) = 3 => 4x = -12 => x = -3. Solution is (-3,3).

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The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50

Drupady [299]

The company picnic cost $ 1300 for 80 employees

Solution:

Given that cost of a company picnic varies directly as the number of employees attending the picnic

Let "c" be the company picnic cost

Let "n" be the number of employees attending the picnic

Therefore,

$cost \propto \text{ number of employees attending picnic }$

$c \propto n\\\\c = kn$

Where "k" is the constant of proportionality

c = kn ---------- eqn 1

Given that company picnic costs $487.50 for 30 employees

Therefore substitute c = 487.50 and n = 30

$487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25$

How much does a company picnic cost for 80 employees?

Substitute n = 80 and k = 16.25 in eqn 1

$c = 16.25(80) = 1300$

Thus $ 1300 is the cost for 80 employees

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3 years ago

If (inserted image), then f(2)= A)1/3 B)1 C)7

Lubov Fominskaja [6]

Given : f(x) = 3x + 1

We get f(2) by substituting x = 2 in the given Function

⇒ f(2) = 3(2) + 1

⇒ f(2) = 6 + 1 = 7

Option C is the Answer

6 0

3 years ago

There are 37 student that are riding in cars for a field trip. If a car can carry 4 students, how many cars are necessary to tak

Anuta_ua [19.1K]

Answer:

10 cars

Step-by-step explanation:

37 ÷ 4 = 9.25

Because this is dealing with people, not numbers, there can't be a remaining 0.25 person. There's one extra person that doesn't cleanly fit into the 9 other cars, so a tenth car is needed for that person.

8 0

3 years ago

Ian invested $20,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded continuously. Lauren invested $2

Verdich [7]

Answer:

$5047

Step-by-step explanation:

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deltamath gang

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3 years ago

What function family does Y=1/3x – 7 belong to?

grigory [225]

Answer:

Hey there!

Y=1/3x-7 is a linear function, the highest power is the 1st power

Hope this helps :)

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3 years ago