Answer:
j=12
Step-by-step explanation:
Question: <u>j/4-10/3=-1/3</u>
1) Add 10/3 to both sides:
j/4=3
2) Multiply both sides by 4:
j=12
Answer:
The answer is: C. $1407.50
Step-by-step explanation:
Buying:
30 * $20.95 + 20 * $25.50 =
$628.50 + $510 = $1138.
Selling:
50 * $28.75 = $1437.50
Remaining Cash:
$1437.50 - $30 = $1407.50
(This answer assumes Jen paid the other $30 per transaction when she bought the original shares, but had to pay $30 when she sold the shares.)
Answer:
68
Step-by-step explanation:
Total mile cycled, d(t) ;
d(t) = 12t + 20
At d(4)
t = 4 ;
We have;
d(4) = 12(4) + 20
d(4) = 48 + 20
d(4) = 68
After, 4 hours of cycling, Joanna cycled a total distance of 68 miles
We are to show that if X ⊆ Y then (X ∪ Z) ⊆ (Y ∪ Z) for sets X, Y, Z.
Assume that a is a representative element of X, that is, a ∈ X. By the definition of union, a ∈ X ∪ Z. Now because X ⊆ Y and we assumed a ∈ X, then a ∈ Y by the definition of subset. And because a ∈ Y, then a ∈ Y ∪ Z by definition of union.
We chose our representative element, a, and showed that a ∈ X ∪ Y implies that a ∈ Y ∪ Z and this completes the proof.
Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is
Therefore, the required number of different ways is 224.
