Answer:
$3.97
Step-by-step explanation:
Three containers @$2.98 = 3 × 2.98 = $8.94
Less $1 = <u>-1.00
</u>
7.94
Less 50% paid my mom = ½ × 7.94 = <u>-3.97
</u>
Paid by Theresa = $3.97
[(3 × 2.98) - 1] ÷ 2 = (8.94 - 1) ÷ 2 = 7.94 ÷ 2 = 3.97
In order to subtract fractions, we must find a common denominator, then subtract the numerators.
The common denominator (LCM(3, 5)) is 15.
We must multiply the first numerator by 5, because 3*5=15 and the second numerator by 3 because 5*3=15.
We get
.
All we need to do now is subtract the numerators:
.
The answer is 14/15.
To calculate the slope you need to do (y2-y1)/(x2-x1). So you would get:
(17-12)/(4-9)
5/-5
=-1
Hope this helps.
Answer:
8 π .
Step-by-step explanation:
radius increases at a constant rate of 1 in/sec.
dr / dt = 1
where r is radius .
radius after 4 sec
r = 1 x 4 = 4 in
area A = π r²
differentiating both sides
dA / dt = 2 π r dr / dt
Putting dr / dt = 1 , r = 4 in
dA / dt = 2 π x 4 x 1
= 8 π sq in per sec.
Area increases at the rate of 8 π per sec.