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3 years ago

The variable z varies jointly with x and y. also, z = -75 when x = 3 and y = -5. what equation describes this variation?

1 answer:

5 0

The equation describing variation will be found as follows:
zαxy
z=kxy
where k is the proportionality constant
k=z/xy
when x=3, y=-5 then z=-75
k=-75/(-5*3)=5
hence the formula will be:
z=5xy

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My pigg y bank has only pennies and nicklels in it , and 2/7 of the coins are nickel If i remove 84 pennies then 1/3 of the reme

zubka84 [21]

Answer:

There are 105 pennies in the piggy bank.

There are 42 nickels in the piggy bank.

Step-by-step explanation:

there are:

p pennies in the piggy bank

n nickels in the piggy bank

Then we can define T, the total number of coins, as:

T = p + n

We know that 2/7 of the total number of coins are nickels.

This can be written as:

n = (2/7)*T = (2/7)*(n + p)

And if we remove 84 pennies, 1/3 of the remaining coins are pennies.

This can be written as:

p - 84 = (1/3)*(n + p - 84)

Then we have a system of two equations:

n = (2/7)*(n + p)

p - 84 = (1/3)*(n + p - 84)

Let's solve the system, to do it, we first need to isolate one of the variables in one of the equations.

We can isolate n in the first one, to get:

n = (2/7)*(n + p) = (2/7)*n + (2/7)*p

n - (2/7)*n = (2/7)*p

n*(5/7) = (2/7)*p

n = (7/5)*(2/7)*p = (2/5)*p

n = (2/5)*p

Now we can replace this in the other equation:

p - 84 = (1/3)*(n + p - 84)

p - 84 = (1/3)*( (2/5)*p + p - 84)

Let's solve this for p

p - 84 = (1/3)*( (7/5)*p - 84)

3*(p - 84) = (7/5)*p - 84

3p - 252 = (7/5)*p - 84

3*p - (7/5)*p = 252 - 84

(15/5)*p - (7/5)*p = 168

(8/5)*p = 168

p = (5/8)*168 = 105

There are 105 pennies in the piggy bank.

And we know that:

n = (2/5)*p = (2/5)*105 = 42

There are 42 nickels in the piggy bank.

4 0

3 years ago

Question is in the picture.

Elza [17]

Answer:

It should be d=2.25t

Step-by-step explanation:

The question only contains 2.25 not 2 or 4 and also you would multiply it

3 0

3 years ago

Is -5,5,-5,5,-5 arithmetic

Anna11 [10]

No, it multiplies by -1 each time. Arithmetic sequences add or subtract by a constant number

7 0

3 years ago

On average,Shane drinks 1/2 of a 6-ounce of water in 2/3 hour.How much water does she drinks in an hour.Show work

In-s [12.5K]

Answer:

4.5 ounces

Step-by-step explanation:

First dived 3 by 2 to figure out how much water she drinks in 1/3 of a hour.

Second, you take the answer 1.5 ounces per 13 of an hour and multiply it by 3.

Lastly, you get your answer 4.5 ounces of water in a hour.

1. 3 / 2 = 1.5

2. 1.5 x 3 = 4.5

7 0

3 years ago

Read 2 more answers

Solve for g.

Y_Kistochka [10]

Answer:

g =6/5 g=-5/2

Step-by-step explanation:

(5g − 6)(2g + 5) = 0

Using the zero product property

(5g − 6) =0 (2g + 5) = 0

5g-6+6 =0+6 2g+5-5=0-5

5g =6 2g =-5

5g/5 = 6/5 2g/2 =-5/2

g =6/5 g=-5/2

7 0

3 years ago