Answer:
Step-by-step explanation:
- Use ratios to solve for x. Corresponding sides have same ratio.
Q1
- (x + 5)/30 = (36 - 20)/20
- (x + 5)/30 = 16/20 = 4/5
- 5(x + 5) = 4(30)
- 5x + 25 = 120
- 5x = 95
- x = 19
Q2
- (5x - 2)/(3x + 1) = 39/26
- (5x - 2)/(3x + 1) = 3/2
- 2(5x - 2) = 3(3x + 1)
- 10x - 4 = 9x + 3
- 10x - 9x = 3 + 4
- x = 7
TS = 3x + 1 = 3(7) + 1 = 22
Answer:
Step-by-step:
It takes him 1.4 minutes to read one page.
Answer: The second one, 10 rolls for $12. 1.29 (Rounded)
Step-by-step explanation:
14/18 is 1.29 (Rounded)
10/12 is 1.20.
The unit rate is cheaper, therefore making it the better buy
Take the square root of both sides
remember to take the positive and negative root
2x+5=-7 or
2x+5=7
solve each
2x+5=-7
subtract 5
2x=-12
divide 2
x=-6
2x+5=7
subtract 5
2x=2
divid 2
x=1
x=-6 or 1
Answer:
Scale factor of cube to the smaller cube is 5 : 3.
Step-by-step explanation:
Ratio of the volumes of two cubes = ![\frac{\text{volume of large prism}}{\text{Volume of small prism}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bvolume%20of%20large%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20small%20prism%7D%7D)
= ![\frac{1000}{216}](https://tex.z-dn.net/?f=%5Cfrac%7B1000%7D%7B216%7D)
= ![\frac{125}{27}](https://tex.z-dn.net/?f=%5Cfrac%7B125%7D%7B27%7D)
Scale factor of these cubes = ![\sqrt[3]{\text{ratio of the volumes of the cubes}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Ctext%7Bratio%20of%20the%20volumes%20of%20the%20cubes%7D%7D)
= ![\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20large%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20small%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{125}{27} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B27%7D%20%7D)
= ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
= 5 : 3
Therefore, scale factor of cube to the smaller cube is 5 : 3.