Step-by-step explanation:
2 : 3 = 6 : x ,
Ratio can be written as
2*3 = 6, we multiply top and bottom of fraction by 3
So value of x=9
4 : 7 = x : 42 ,
7*6 = 42, we multiply top and bottom of fraction by 6
So value of x=24
2x : 48 = 3 : 12,
\frac{3}{12}[/tex] = ![\frac{2x}{48}12*4 = 48, we multiply top and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B48%7D%3C%2Fp%3E%3Cp%3E12%2A4%20%3D%2048%2C%20we%20multiply%20top%20%20and%20bottom%20of%20fraction%20by%204%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cfrac%7B3%2A4%7D%7B12%2A4%7D%20%3D%20%5Cfrac%7B12%7D%7B48%7D)
2x= 12, so x= 6
12 : 15 = x : 20
,
we multiply top and bottom by 4/3
So value of x=16
When the firecracker hits the ground, H(t) = 0.0 = -16t^2 + 90t + 160 Using the quadratic formula,t = (-90 +- sqrt(90^2 - 4(-16)(160))) / 2(-16)t = -1.42 ort = 7.04
The negative time is extraneous. Therefore,t = 7.04 s.
Seven Seconds is your answer!
Answer:
1) 13 ft
Step-by-step explanation:
1) 13+8=21 which is greater than 15. Would be a triangle.
2) 7+8=15 This would be a single line, not a triangle.
3) 3+8<15 This would be a single line, not a triangle.
2) 15+8=23 This would be a single line, not a triangle.
If you want to easily find the solution you can use your calculator.
Just divide 77 by 110 and see the result.
77/110 = 0.7 = 7/10 = 70/100 = 70%
100% - 70% = 30%
Explanation
110*x=77
x=77/110, but the answer is not a percent
So 77/110 = ?/100 => ?=77*100/110=70 => 70%
But since 70% does not represent a percentage decreasement, we need to subtract it from the 100%
100% - 70% = 30%
