Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
Answer:
£15120
Step-by-step explanation:
60-18= 42 years
42×12= 504 months
504×30=£15120
Answer:
D
Step-by-step explanation:
To convert from polar to rectangular form
• x = rcosΘ , y = rsinΘ
• r =
⇒ r² = x² + y²
Given
r = 8cosΘ
r = 8 ×
( multiply both sides by r )
r² = 8x, hence
x² + y² = 8x ⇒ D
to get the equation of a line, we simply need two points, say for the Red one ... notice in the graph the lines passes through (0,2) and (-1,6), so let's use those

now, for the Blue one, say let's use hmmm it passes through (0,2) and (1.6)

The rule for the product of similar bases with exponents:
(a^b)(a^c)=a^(b+c)
(-5*6)(a^1)(a^8)
(-30)(a^(1+8))
-30a^9