Average speed is given by total distance traveled divided the total time taken.
Given that the distance from Mason's home to their son's college campus is 154 miles, then a round trip (to and fro) <span>from their house to their son's college campus will be 2 * 154 = 308 miles and the journey took 5 and a half hours.
Therefore, the average speed is given by:
</span>
![Average\, speed= \frac{308\, miles}{5.5\, hours} =56\, miles/hour](https://tex.z-dn.net/?f=Average%5C%2C%20speed%3D%20%5Cfrac%7B308%5C%2C%20miles%7D%7B5.5%5C%2C%20hours%7D%20%3D56%5C%2C%20miles%2Fhour)
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Answer:
a) la altura es de 1.6 metros
b) contendría 3750 litros
Step-by-step explanation:
1000 litros = 1m³
8000 litros = 8000/1000 = 8m³
La formula del volumen de un prisma rectangular es:
v = área de la base * altura
el área de la base es:
ab = 2.5m * 2m = 5m²
entonces:
v = 5 * altura
v = 8m³
así que:
8m³ = 5m²* altura
altura = 8m³/5m²
altura = 1.6 metros
- Si la altura fuese de 75cm
1 metro = 100 centímetros
75 cms = 75/100 = 0.75 metros
entonces:
volumen = 5m² * 0.75m
volumen = 3.75m³
3.75m³ = 3.75*1000 = 3750 litros
El agua que contendría sería de:
3750 litros
Answer:
$4199.88
Step-by-step explanation:
We're gonna use the compound interest formula: P = A(1 + r/n)^nt
P = final amount
A = starting amount (4,1111)
r = rate (0.0107)
n = times applied (12 since it's quarterly)
t = years (2 x 12 = 24)
P = 4,111(1 + 0.0107/12)^24
P = 4,111(1 + .0008916666...)^24
P = 4,111(1.021621)
P = 4,199.883441
Round it to 4199.88
(6x+1)(-3x+1)
-18x^2-3x+6x+1
-18x^2+3x+1
Answer:
3
Step-by-step explanation:
Choose a variable to represent the number to be added to 5 and 3.
![\frac{5+x}{3+x}=\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%2Bx%7D%7B3%2Bx%7D%3D%5Cfrac%7B4%7D%7B3%7D)
"Cross-multiply."
![3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x](https://tex.z-dn.net/?f=3%285%2Bx%29%3D4%283%2Bx%29%5C%5C%5C%5C15%2B3x%3D12%2B4x%5C%5C%5C%5C15%3D12%2Bx%5C%5C%5C%5C3%3Dx)
Check: The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.