Answer:
f(x)=3x
Step-by-step explanation:
Answer:
50 pockets
Step-by-step explanation:
Total yards of lace = 75
Yards to decorate one Pocket = 1 1/2 yards
How many pockets can she decorate with the lace
Number of pockets she can decorate with the lace = Total yards of lace / Yards to decorate one Pocket
= 75 ÷ 1 1/2
= 75 ÷ 3/2
= 75 × 2/3
= 150/3
= 50
Number of pockets she can decorate with the lace = 50 pockets
In a parallelogram, if two opposites are congruent, then the two opposites are equal. We apply this description to solve the problem.
∠O = ∠M since they are opposite
2x = 3x - 55
55 = 3x - 2x
55 = x
Total of all angles in the parallelogram is 360°
∠L + ∠N +∠O +∠M=360°
360° - ∠O -∠M = ∠L + ∠N note that ∠L =∠N
360° -110° -110° = 2∠N
70° = ∠N
Solving for Y,
∠N = 5Y = 70°
Y=70/5
Y=14
Therefore, the value of "x" is 55 and the value of "y" is 14. The answer is the letter "C".
Basically, you just have to distribute and then add. Let's do that:
30.
![x( \frac{3}{2}x-2)+6( \frac{5}{2}x- \frac{2}{3})](https://tex.z-dn.net/?f=x%28%20%5Cfrac%7B3%7D%7B2%7Dx-2%29%2B6%28%20%5Cfrac%7B5%7D%7B2%7Dx-%20%5Cfrac%7B2%7D%7B3%7D%29%20)
![(\frac{3}{2}x^2-2x)+( \frac{15}{2}x -4)](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B3%7D%7B2%7Dx%5E2-2x%29%2B%28%20%5Cfrac%7B15%7D%7B2%7Dx%20-4%29)
Combine like terms (and this is your answer):
31. Same thing (except convert 1 and 1/5 to an improper fraction):
![(\frac{6}{5})(x+ \frac{3}{2})- \frac{9}{10}](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B6%7D%7B5%7D%29%28x%2B%20%5Cfrac%7B3%7D%7B2%7D%29-%20%5Cfrac%7B9%7D%7B10%7D%20%20%20)
![\frac{6}{5}x + \frac{9}{5} - \frac{9}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B5%7Dx%20%2B%20%5Cfrac%7B9%7D%7B5%7D%20-%20%5Cfrac%7B9%7D%7B10%7D%20)
![\frac{6}{5}x + \frac{9}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B5%7Dx%20%2B%20%20%5Cfrac%7B9%7D%7B10%7D%20%20)
Hope this helped!
Answer:
153.3852
Step-by-step explanation:
After the decimal, you count the places. 3 is in the ones place, 8 in the tenths, 5 in the hundreths, and 1 in the thousandths. The thousandths place is what we are rounding, so we look at the next number, 9, which tells us to round the 1 up to 2