1. solve for x in first to just find nterms of y
x=12-y
sub that for x in other one
first divide that one by 2 to make it easier
2x-y=18
2(12-y)-y=18
24-2y-y=18
24-3y=18
minus 24 both sides
-3y=-6
divide -3
y=2
D is answer
2.
find intersection of x+y=5 and -2x+3y=6
or easiers, just test the intersections
wait, they all intersect in the same place
this is super easy
pick ANY point that is in that reigon and see if it is true
A, if we pick lets say (5,5)
that is false for x+y<5
not A
B
pick (10,0)
false for first one
not B
C
pick (0,0)
true for first
false for 2nd
not C
D. pick (-10,0)
true for first
true for 2nd
answer is D
answer is D for both questions
Ali saves Rs 2576 every month
Step-by-step explanation:
- Step 1: Given Ali's monthly salary = Rs 18400. Calculate the amount spent on food articles
Amount spent on food = 30% of 18400 = 30/100 × 18400 = Rs 5520
- Step 2: Find the remaining amount.
Remaining amount = 18400 - 5520 = Rs 12880
- Step 3: Find amount spend on conveyance and clothes
Amount spent on conveyance and clothes = 40% of 12880
= 40/100 × 12880 = Rs 5152
- Step 4: Find his monthly savings.
Monthly savings = 50% of 5152 = 50/100 × 5152 = Rs 2576
Answer:
167/346 or 0.483
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of Tails (T) = 167
Number of Heads (H) = 179
Probability of tail, P(T) =?
Next, we shall determine total outcome. This can be obtained as follow:
Number of Tails (T) = 167
Number of Heads (H) = 179
Total outcome (S) =?
S = T + H
S = 167 + 179
Total outcome (S) = 346
Finally, we shall determine the probability of tails. This can be obtained as follow:
Number of Tails (T) = 167
Total outcome (S) = 346
Probability of tail, P(T) =?
P(T) = T / S
P(T) = 167 / 346
P(T) = 0.483
Thus, the probability of tails is 167/346 or 0.483
Answer: Yes
Step-by-step explanation:
To solve this, imagine you have a vertical line. You can use a ruler or something straight. Move the ruler across the screen. Does the ruler intersect 2 points at once? If so, then it is not a function. If it only intersects one point, then it is a function.
Always remember: a function cannot have two x's with different y-values.
Hope that helped!
Answer:
3 7/8-2 5/8
<u>31</u><u>-</u><u>21</u>
8
=10/8
=1 1/4 more
