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Norma-Jean [14]
2 years ago
13

Eighteen 2.5 gallon buckets are needed to fill a cistern with water. Find the constant of variation. Please help! Thank you!

Mathematics
2 answers:
Allushta [10]2 years ago
6 0

Given:

Eighteen 2.5 gallon buckets are needed to fill a cistern with water.

To find:

The constant of variation.

Solution:

If y is directly proportional to x, then

y\propto x

y=kx

Where, k is constant of variation.

In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

w\propto n

w=2.5n        (Capacity of each bucket is 2.5 gallons)

Therefore, the constant of variation is 2.5.

Masteriza [31]2 years ago
5 0

Answer:

45

Step-by-step

I just did 18 * 2.5!

It a simple answer!

The quantites are inversely so that means you multiply the numbers. Like 18 * 2.5. That's how I got 45

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A teacher needs 70 lengths of string cut to 40cm each. If balls of string are 10 m long, how many balls will be needed.
Genrish500 [490]

Answer:

3

Step-by-step explanation:

A ball is 10 meters. Since 100 centimeters are in a meter, each ball has 100*10 = 1000 centimeters.

The teacher needs 70 strings each 40 centimeters. The total amount they need is 70*40 = 2800 centimeters.

Since a ball has 1000 centimeters, 2800 centimeters will need 3 balls for a total of 3000 centimeters.

5 0
2 years ago
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular
ki77a [65]

Answer:

143

157

The rectangular containers because it will cost the company $67 more to use cylindrical containers

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.
Savatey [412]
<span>The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:

 By properties of powers, if you have the same base, you can substract the exponents. Then:

 =(</span>27x^2)z/(-3x^2)(z^6)
 =-9z/z^6  (As you can see: x^2-2= x^0=1)
 =-9/z^5    (Then, z^6-1=z^5)
<span>
 Therefore, the answer is: The exponent on the variable z is 5.</span> 
7 0
2 years ago
A kite has a perimeter of 70 centimeters. One of the shorter sides measures 16 centimeters. What are the lengths of the other th
kari74 [83]

Answer:

a kite has 2 short sides and 2 long sides. The 2 short sides are equal. The 2 long sides are also equal. This means that the other short side is 16cm. And the remaining longer sides can be found like this:

let's pretend *y* is the long side

2*y = 70 - 16 - 16. (two of the long sides = 70 - short side - another short side)

so use algebra to find y.

2*y = 38

y = 19 so the long sides are both 19cm each

Your final answer: 16cm, 19cm, 19cm

5 0
2 years ago
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Jameson has $4,300 in credit card debt with 14% interest that he wants to pay off in 24 months. He will need to make monthly pay
neonofarm [45]

Answer:

The answer to this question can be defined as follows:

net paid interest = $ 655. 04

Total cost = $ 4955.04

Step-by-step explanation:

Given values:

loan amount = $ 4,300

monthly payment = $ 206.46

interest rate = 14 %

Time = 2 years

Solution:

yearly payment = one month amount × 12

1 year payment = $ 206.46 × 12

1 year payment =  $2477.52

because Time is 2 year then payment is = $2477.52 *2

2 year payment = $ 4955.04

net interest paid  = total payment - loan amount

                            = $ 4955.04 - $4300

                            = $ 655.04

total  cost = $ 4955.04

net paid interest = $ 655.04

4 0
2 years ago
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