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g100num [7]
4 years ago
14

Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?

Mathematics
1 answer:
vitfil [10]4 years ago
8 0

Hi!

We will solve this using ratios, like this:

4 1/2 = 4,5 kg of olive oil for 27 $

1 kg of olive oil for x $

_____________________________

x = (27*1)/4,5

x = 27/4,5

x = 6 $ per kilogram

Hope this helps!

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3 years ago
Find the center-radius form of the equation of the circle described.
Kitty [74]

Answer:

Correct answer:  (x-√2)² + (y-√5)² = 3

Step-by-step explanation:

Given data: Center (x,y) = (√2,√5) and r = √3

The canonical or cartesian form of the equation of the circle is:

( x-p )² + ( y-q )² = r²  

Where p is the x coordinate of the center, q is the y coordinate of the center and r is the radius of the circle.

God is with you!!!

8 0
3 years ago
Q2. A train travels at a constant speed of 45 m/s. a) Calculate the distance travelled by the train in:
alex41 [277]

Answer:

i) 1350 m

ii) 5400 m

Step-by-step explanation:

<u>Formula for Speed</u>

\boxed{\sf Speed=\dfrac{Distance}{Time}}

Rearrange the formula so that Distance is the subject:

\implies \sf Distance = Speed \times Time

<h3><u>Question (i)</u></h3>

Given:

  • Speed = 45 m/s (meters per second)
  • Time = 30 seconds

Substitute the given values into the formula for distance:

\implies \sf Distance = 45 \times 30 = 1350\:m

<h3><u>Question (ii)</u></h3>

Given:

  • Speed = 45 m/s (meters per second)
  • Time = 2 minutes

As the time is given in a different unit of time as the speed, we must first convert the time into seconds:

1 minute = 60 seconds

⇒ 2 minutes = 60 × 2 = 120 seconds

Therefore:

  • Speed = 45 m/s (meters per second)
  • Time = 120 seconds

Substitute the values into the formula for distance:

\implies \sf Distance = 45 \times 120 = 5400\:m

3 0
1 year ago
Read 2 more answers
Can someone help me with answer C? its the last one i need
Dmitry [639]

Using the monthly payment formula, it is found that her down payment should be of $1,419.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

  • P is the initial amount.
  • r is the interest rate.
  • n is the number of payments.

For this problem, the parameters are:

A = 250, r = 0.072, n = 72.

Hence:

r/12 = 0.072/12 = 0.006.

We solve for P to find the total amount of the monthly payments, hence:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

P\frac{0.006(1.006)^{72}}{(1.006)^{72}-1} = 250

0.0171452057P = 250

P = 250/0.0171452057

P = $14,581.

The total payment is of $16,000, hence her down payment should be of:

16000 - 14581 = $1,419.

More can be learned about the monthly payment formula at brainly.com/question/26476748

#SPJ1

4 0
2 years ago
I need help how do i do this
Anarel [89]

Answer:

no geniune idea

Step-by-step explanation:

7 0
3 years ago
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