Answer:
1 box has 12 chocolates
thus 20 boxes have ( 20 * 12) = 240 chocolates
1 carton has 240 chocolates (20box)
10 cartons have 240 * 10 = 2400 chocolates
Answer:
For every 1 liter of bleach there are 9 liters of water in the solution
Step-by-step explanation:
∵ The ratio of bleach to water in a cleaning solution is 2 : 18
- That means for every 2 liters of bleach there is 18 liters of water
∵ There is 1 liter of bleach
- Let us use the ratio method
→ bleach : water
→ 2 : 18
→ 1 : x
- By using cross multiplication
∴ x × 2 = 1 × 18
∴ 2 x = 18
- Divide both sides by 2
∴ x = 9
∵ x represents the number of liters of the water in the solution
∴ The number of liters of the water in the solution is 9
For every 1 liter of bleach there are 9 liters of water in the solution
Answer:
Step-by-step explanation:
Look at the image below ↓
Answer:
b) i) Curve A
ii) - 1.75
iii) x = 1 - √5 or x = 1 + √5
Step-by-step explanation:
b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.
The equation can be rearranged to y = (x - 1)² - 4
⇒ (x - 1)² = y + 4
Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.
So, the curve A represents the equation given. (Answer)
ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)
iii) When y = 1, then x² -2x - 3 = 1
⇒ x² - 2x - 4 = 0
⇒ (x - 1)² - 5 = 0
⇒ (x - 1)² - (√5)² = 0
⇒ (x - 1 + √5)(x - 1 - √5) = 0
⇒ x = 1 - √5 or x = 1 + √5 (Answer)
Answer:
47
Step-by-step explanation:
Let a, b, and c be those three numbers.
When two of the three numbers are added at a time, the possible sums are 32, 39, 23. Let
Add these three equations:
Divide this equation by 2:
The sum of all three numbers is 47.
