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pishuonlain [190]
3 years ago
7

Determine whether y varies directly with x. If so, find the constant of variation k.

Mathematics
1 answer:
kumpel [21]3 years ago
5 0
Direct variation is y=kx, inverse variation is y=k/x....

-5y=-2x divide both sides by -5

y=2.5x

So this is a direct variation with a constant of 2.5
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A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $31.the total cost to ren
san4es73 [151]

Answer:

$1.25 & $10.25

Step-by-step explanation:

Let c be the cost of renting one chair and t be the cost of renting table. We're given two equations:

#1. 5c + 3t = 37

#2. 2c + 6t =64

We have a system of equations. Using our system of equations calculator, we can solve this problem any of 3 ways below:

  • Chairs (c) cost $1.25
  • Tables (t) cost $10.25
6 0
3 years ago
If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
Olegator [25]

Answer:

b+6

Problem:

If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?

Step-by-step explanation:

We are given (b+c)/2=8 and d=3b-4.

We are asked to find (c+d)/2 in terms of variable, b.

We need to first solve (b+c)/2=8 for c.

Multiply both sides by 2: b+c=16.

Subtract b on both sides: c=16-b

Now let's plug in c=16-b and d=3b-4 into (c+d)/2:

([16-b]+[3b-4])/2

Combine like terms:

(12+2b)/2

Divide top and bottom by 2:

(6+1b)/1

Multiplicative identity property applied:

(6+b)/1

Anything divided by 1 is that anything:

(6+b)

6+b

b+6

3 0
3 years ago
Read 2 more answers
Use the substitution method to solve the system of equations. Choose the
elixir [45]

Answer:

c

Step-by-step explanation:

just plug each coordinates

5=x

18=y

if its tru for both then thats the answer

5 0
3 years ago
Read 2 more answers
Question 10 (7 points) d Elizabeth borrowed $20,000 for five years at a 5% annual interest rate, what is her monthly payment, to
zhenek [66]

Answer:

monthly payment is $377

C is the correct option.

Step-by-step explanation:

The formula for the monthly payment is given by

C=\frac{Prt(1+r)^n}{(1+r)^n-1}

Given that,

P =  $20,000

n = 5 years = 60 months

r = 0.05

Substituting these values in the formula

C=\frac{20000\cdot \frac{0.05}{12}(1+\frac{0.05}{12})^{60}}{(1+\frac{0.05}{12})^{60}-1}

On simplifying, we get

C=\$377.425\\\\C\approx \$377

Therefore, the monthly payment is $377

C is the correct option.

4 0
3 years ago
Pozele sunt atasate va rog urgeeeeent
Nookie1986 [14]

Answer:

it's not English, sorry I can't help.

3 0
3 years ago
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