Answer:
(blank) > 5600
Step-by-step explanation:
Answer: 153.86cm
Step-by-step explanation:
A bowl represents a circle
Area of a circle is pir2
But here we are given the diameter as 14
Diameter = 2radii
14=2r
R=14/2
R=7
So radius of the bowl is 7cm
Back to the formula
Area of a circle is pir2
Pi=3.14
Substitute for each value
Area= 3.14×7^2
Area= 3.14×49
Area= 153.86cm
Area= ~154cm
Answer:
(b)
<u>Total frequencies:</u>
<u>Multiples of 3 or 5:</u>
- 6, 9, 10, 12, 15, 18, 20, 21, 24, 25 - total of 10
<u>Required probability:</u>
(c)
- Limes = 10 + 6 = 16
- Apples = 8 + 6 = 14
- Total = 16 + 14 = 30
(i) Good limes = GL = 10
- P(GL, GL) = 10/30*9/29 = 3/29
(ii) Good fruits = GF = 10 + 8 = 18
- P(GF, GF) = 18/30*17/29 = 51/145
(iii) Good apple = GA = 8, Bad lime = BL = 6
- P(GA&BL or BL&GA)) = 8/30*6/29 + 6/30*8/29 = 16/145
Answer:
1. f(x) = 3x + 7
2.
3. f(x) = x + 5
4. f(x) = -2x - 5
5.
Step-by-step explanation:
Rearrange all the equations to make y the subject,
then substitute f(x) for y:
1. y - 3x = 7
Add 3x to both sides:
⇒ y = 3x + 7
⇒ f(x) = 3x + 7
2. 2x + 4y = 8
Subtract 2x from both sides:
⇒ 4y = -2x + 8
Divide both sides by 4:
⇒
⇒
3. -x + y = 5
Add x to both sides:
⇒ y = x + 5
⇒ f(x) = x + 5
4. y + 5 = -2x
Subtract 5 from both sides:
⇒ y = -2x - 5
⇒ f(x) = -2x - 5
5. 3x + 2y - 4 = 0
Subtract 3x from both sides:
⇒ 2y - 4 = -3x
Add 4 to both sides:
⇒ 2y = -3x + 4
Divide both sides by 2;
⇒
⇒