Answer:
Step-by-step explanation:
Solve the inequality 5x − 4y > 20 for y, as follows: Subtract 5x from both sides, obtaining:
-4y > 20 - 5x;
Then divide all terms by -4:
y < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.
Temporarily replace the < symbol with = obtaining y = -5 +(5/4)x. Now choose at least three x values and find the corresponding y values. For example:
x y = -5 +(5/4)x
0 -5
4 0
-8 -15
Now plot these three points (0, -5), (4, 0) and (-8, -15). Draw a dashed line through them. Because of the < symbol in y < -5 +(5/4)x, shade the area underneath the dashed line.
A deck of cards contains red cards numbered 1,2,3, Blue cards numbered 1,2,3,4,5,6, and green cards numbered 1,2. If a single ca
serg [7]
Answer:
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have:
3 red cards
6 blue cards
2 green cards.
What is the probability that the card is not green?
3 + 6 + 2 = 11 cards, of which 3 + 6 = 9 are not green. So
probability that the card is not green
Slope is 5
Step-by-step explanation:
- Step 1: The equation of the line is y - 3 = 5(x - 2). Find the slope.
y - 3 = 5x - 10
Slope intercept form is y = mx + b, where m is the slope.
y = 5x - 10 + 3
y = 5x - 7
m = 5
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
Hope this helps!
Have a nice day :)
Answer
29/6 or 4 5/6
Step-by-step explanation:
1. Find a common denominator
2. Common denominator is 6 Remember - multiply by a - gives you a positive.
3. Rewrite 6/6 -4/6 +27/6
4. Add the numerators together to get 29
5. Answer is 29/6 or as a mixed number 4 5/6
