A car is traveling at a speed of 81 kilometers per hour. What is the car's speed in meters per second? How many meters will the
car travel in 20 seconds? Do not round your answers.
1 answer:
Answer:
450meters
Step-by-step explanation:
Given data
Speed = 81km per hour
Let us convert to meter per seconds
1 km= 1000m
1 hour=3600 seconds
= 1000/3600= 5/18 m/s
=81*5/18
=405/18
=22.5 m/s
Hence the distance traveled in 20 seconds is
distance= speed*time
distance= 22.5*20
distance= 450 meters
Hence the distance is 450meters
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Answer: 5
Step-by-step explanation:
The question is asking how many tenths are in one half. You need to divide one half by one tenth. To divide fractions you need to invert and multiply.
1/2 ÷ 1/10
Step 1: Invert and multiply
1/2 × 10/1 = 10/2
Step 2: Simplify
10/2 = 5
Answer:
See explanation
Step-by-step explanation:
1. Given the expression
![\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B7%5D%7Bx%5E5%7D%20%7D%7B%5Csqrt%5B4%5D%7Bx%5E2%7D%20%7D)
Note that
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When dividing ![\sqrt[7]{x^5}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E5%7D)
by ![\sqrt[4]{x^2},](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E2%7D%2C)
we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so
and the result is ![x^{\frac{3}{14}}=\sqrt[14]{x^3}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B3%7D%7B14%7D%7D%3D%5Csqrt%5B14%5D%7Bx%5E3%7D)
2. Given equation ![3\sqrt[4]{(x-2)^3} -4=20](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20-4%3D20)
Add 4:
![3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20-4%2B4%3D20%2B4%5C%5C%20%5C%5C3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%3D24)
Divide by 3:
![\sqrt[4]{(x-2)^3} =8](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20%3D8)
Rewrite the equation as:
Hence,
Option I
(3x+4)cm =(2x+10)cm
3x-2x=6
x=6
Option II
(3x+4)= (x+12)
3x-x=12-4
2x=8
x=4
Option III
(2x+10)= (x+12)
2x-x=12-10
x=2
Answer:
BC=54, DE=27
Step-by-step explanation:
(7x-1)2=16x-10
x=4
7(4)-1=27
16(4)-10=54
You do like terms 4 3/12 - 3 6/12 = 3/4.
Answer: r = 3/4.
