the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
1/4 ounce of yeast ... 2 1/4 teaspoons of yeast
x ounce of yeast = ? ... 2 teaspoons of yeast
If you would like to know how many ounces of yeast need to be in the recipe, you can calculate this using the following steps:
1/4 * 2 = x * 2 1/4
1/2 = x * 9/4 /*4/9
x = 1/2 * 4/9
x = 2/9
Result: 2/9 ounce of yeast needs to be in this recipe.
Step-by-step explanation:
Given
Hope it will help :)
Answer:
30+(2x+7)+63=180(sum of angles of triangle )
30+2x+7+63=180
2x+100=180
2x=180-100
x=80/2
x=40
Answer:
Step-by-step explanation:
In exponent multiplication, if base are same just add the powers.