Answer:
the rate of the first cyclist: 28km/h
the rate of the 2nd cyclist 28+4= 32km/h
Step-by-step explanation:
x= the rate of the first cyclist
x+4= the rate of the 2nd cyclist
after 4 hours: + the first cyclist travels 4x (km)
+ the 2nd cyclist travels 4(x+4) (km)
because the two cyclists are 240 km apart after 4 hours
=> 4x + 4(x+4) = 240 => x= 28
i hope it's useful forr u =)))
Answer:
-42.875 or -42 7/8
Step-by-step explanation:
you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.
Answer:
20. 44
21. 9
22. 94
23. 116
24. 17
25. 13
Step-by-step explanation:
Keep in mind complementary and supplementary angles. When two angles are right next to each other on a straight line, they add up to 180 degrees, such as the angles in 22 and 23. The other two angles are complementary angles since they add up to 90 degrees. So to solve for b, subtract the angle you are given from either 90 or 180 depending on if it is complementary or supplementary.
For question 20:
90 = b + 46
90 - 46 = b
b = 44
Then do the same for 21.
For question 22:
180 = b + 86
180 - 86 = b
b = 94
Then do the same for 23.
For the last two questions you need to remember that angles that are diagonal from each other are equivalent angles, so they equal each other.
For question 24:
70 = 4x+2
68 = 4x
x = 17
Do the same for 25.
83 = 6x+5
78 = 6x
x =13
Answer:![\frac{\sqrt[3]{100x}}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B100x%7D%7D%7B5%7D)
Step-by-step explanation:
Given expression : cube root of 
which is equivalent to ![\sqrt[3]{\frac{4x}{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B4x%7D%7B5%7D%7D)
To simplify this we need to make denominator a perfect cube.
So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.
![\sqrt[3]{\frac{4x}{5}}=\sqrt[3]{\frac{4x}{5}\times\frac{25}{25}}\\=\sqrt[3]{\frac{100x}{125}}\\=\sqrt[3]{\frac{100x}{5^3}}\\=\frac{\sqrt[3]{100x}}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B4x%7D%7B5%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B4x%7D%7B5%7D%5Ctimes%5Cfrac%7B25%7D%7B25%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B100x%7D%7B125%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B100x%7D%7B5%5E3%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B100x%7D%7D%7B5%7D)
Answer:
two times a number plus 1
twice a number and one
twice the product of a number added to 1
Step-by-step explanation:
