Answer:
C
Step-by-step explanation:
∠1 = 3x + 18 {Vertically opposite angles}
∠1 + 28° = 90
3x + 18 + 28 = 90
3x + 46 = 90
3x = 90 - 46
3x = 44
x = 44/3
![x = 14 \dfrac{2}{3}](https://tex.z-dn.net/?f=x%20%3D%2014%20%5Cdfrac%7B2%7D%7B3%7D)
Answer:
4
Step-by-step explanation:
Given that:
Total yards of satin bought by Maddie =
yards
Number of yards required make one ribbon =
yards
To find:
Number of complete bows that can be made ?
Solution:
First of all, let us learn about converting the mixed fraction to fractional form.
Formula:
![a\dfrac{b}{c} = \dfrac{a\times c+b}{c}](https://tex.z-dn.net/?f=a%5Cdfrac%7Bb%7D%7Bc%7D%20%3D%20%5Cdfrac%7Ba%5Ctimes%20c%2Bb%7D%7Bc%7D)
Therefore, total yards of satin bought by Maddie can be written in fractional form as:
![3\dfrac{2}{3} = \dfrac{3\times 3+2}{3} = \dfrac{11}{3}](https://tex.z-dn.net/?f=3%5Cdfrac%7B2%7D%7B3%7D%20%3D%20%5Cdfrac%7B3%5Ctimes%203%2B2%7D%7B3%7D%20%3D%20%5Cdfrac%7B11%7D%7B3%7D)
One hair bow requires
yards of ribbon.
Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.
Answer is:
![\dfrac{\frac{11}{3}}{\frac{2}{3}}\\\Rightarrow \dfrac{11\times 3}{2\times 3}\\\approx 4](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cfrac%7B11%7D%7B3%7D%7D%7B%5Cfrac%7B2%7D%7B3%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B11%5Ctimes%203%7D%7B2%5Ctimes%203%7D%5C%5C%5Capprox%204)
4 hair bows can be made.
3.75 x 0.038 = 0.1425
2000 pounds in a ton
2000 x 0.1425 = 285
It weighs 285 pounds