Answer:
Explanation:
<u>1. Cost of each liter of yellow paint:</u>
Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.
<u>2. Cost of each liter of blue paint:</u>
Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter
<u>3. Cost of each liter of green paint.</u>
Green paint is made by mixing yellow paint and blue paint in the ratio 2:3
Thus, 5 liters of green paint will cost:
2 liters yellow paint: 2 liter × £5.2 / liter = £10.4
3 liters blue paint: 3 liter × £4.8 / liter = £14.4
========== ========
5 liters green paint: 5 liter £24.8
Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter
<u>4. Profit</u>
Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter
Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter
Percentage profit = profit per liter / cost per liter × 100
Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 = 35.08% = 35%
The
probability that the student has a part-time job, given that they have a cell phone is 5/8
<h3>What is probability</h3>
Probability is the likelihood or chance that an event will occur.
Given the following parameter:
- Total student = 80%
- Part-time jobs = 45%
- Those with both a cell phone and a part-time job = 30%
Student will cellphone only = 80 - 30 = 50%
The
probability that the student has a part-time job, given that they have a cell phone is 50/80 = 5/8
Learn more on probability here: brainly.com/question/25870256
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Cost of 6 sweets = 24p
so, cost of 1 sweet = 24p/6 = 4p
Now, cost of 5 sweets will be =4p*5 = 20p
Answer:
Assuming you mean on a number line.
