Number of students who secured first class in English only is 20
Step-by-step explanation:
- Step 1: Find the number of students who secured first class in English only.
Total number of students who secured first class in English or Maths, T = 80
Number of students who secured first class in Maths, M = 50
Number of students who secured first class in both English and Maths, EM = 10
⇒ Let the number of students who secured first class in English only be x.
Total students with first class, T = M + EM + x
⇒ 80 = 50 + 10 + x
⇒ 80 = 60 + x
∴ x = 80 - 60 = 20
Answer:
<h2>
![x = - \frac{19}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B4%7D%20)
</h2>
Option B is the correct option.
Step-by-step explanation:
![- \frac{1}{2} + x = - \frac{21}{4}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%2B%20x%20%3D%20%20-%20%20%5Cfrac%7B21%7D%7B4%7D%20)
Move constant to R.H.S and change its sign:
![x = - \frac{21}{4} + \frac{1}{2}](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B21%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Take the L.C.M
![x = \frac{ - 21 + 1 \times 2}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%2021%20%2B%201%20%20%5Ctimes%202%7D%7B4%7D%20)
![x = \frac{ - 21 + 2}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%2021%20%2B%202%7D%7B4%7D%20)
Calculate
![x = - \frac{19}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B4%7D%20)
Hope this helps...
Good luck on your assignment..
The answer is
V = 34,992 y^3You can answer this using an online calculator - calculator soup dot com under geometry then pyramid. Select given a (side length) and s (slant height). Enter the amounts to find V (volume).
To manually compute, get the h (height) first before computing for V (volume).
h^2 = l^2 - (s/2)^2 : l (slant height), s (base edge/side)
h = √((45^2) - (54/2)^2)
h = 36
Then find V (volume) : s (side), h (height)
V = 1/3 (s^2)(h)
V = 1/3 (54^2)(36)
V = 34,992 y^3
Answer: 32 paving stones
Step-by-step explanation:
Hi, to answer this question, first we have to convert the measures of the paving stones into meters.
Since: 1m = 100 cm
50 cm /100 = 0.5m
Now, we have to calculate the area of each paving stone:
Area of a square: s^2 = 0.5^2 = 0.25m2
Next, the area of the path.
Area of a rectangle = width x length = 1 x 8 = 8 m2
Finally, we have to divide the area of the path by the area of each paving stone:
8/0.25 = 32 paving stones
Feel free to ask for more if needed or if you did not understand something.
If one pound of yogurt cost 55 (cents?) then, Two yogurts cost $1.10
Three yogurts cost $1.65
Four yogurts cost $2.20
Five yogurts cost $2.75
Six yogurts cost $3.30