Answer:
She needs to sell for 64 more hours
Step-by-step explanation:
Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
Answer:
200 litres
Step-by-step explanation:
let g be gasoline used, d the distance travelled and s the speed, then the equation relating the quantities is
g = kd
← k is the constant of variation
To find k use g = 25, d = 100 and s = 100, then
25 = k × 100 × 
= k × 100 × 10 = 1000k ( divide both sides by 1000 )
0.025 = k
g = 0.025d ← equation of variation
When d = 1000 and s = 64, then
g = 0.025 × 1000 × 
= 0.025 × 1000 × 8 = 200
Answer:
A ≈ 380.13in²
Or A= 379.94in²
Step-by-step explanation:
Formula for area:
A = π r²
A=π ·11² ≈ 380.13in²
If π is used as 3.14 then
A=3.14·11² = 379.94
