Ratio 4:5
There are 9 total.
30 mins = 1800 secs.
1800 divided by 9 = 200
200 secs = 3mins 20secs
200 is one "part" of the ratio, so multiply it by 4, then 5
800:1000
This is the important one
V
13mins, 20secs: 16mins 40secs
Distance is speed x time,
16mins x 4 = 64
40 secs = 2/3
x 4 = 1.6666
Distance to shop - 65.6m
Replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)
f(x)=x-1
y=x-1
x=y-1
x+1=y
x+1=f⁻¹(x)
f⁻¹(x)=x+1
Answer:
c
Step-by-step explanation:
distribute the parenthesis by - 1 and collect like terms
= 5x² + 9x + 3 - 6x² + 3x
= (5x² - 6x²) + (9x + 3x) + 3
= - x² + 12x + 3 → c
1 7/8 tons of sand will be required to fill the playground
We can make and use the equation: <em>A = 160( 1.03 )^y</em>: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)
A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74
B) 160 * 1.03⁵ = 185.48385 ≈ $185.48
The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.
C) 160(1.03)³⁰
