Answer:
x=-15
Step-by-step explanation:
50=-10(x+10)
Distribute 10: 50=-10x-100
Add 100 to both sides: 100+50=-10x-100+100
150=-10x
Simplify: 150/-10=-10x/-10
x=-15
With 4 jacks in the deck of 52, there is a 4/52 = 1/13 probability of drawing 1 jack.
With 13 clubs in the deck, there is a 13/52 = 1/4 probability of drawing 1 card of clubs.
1 of the cards in the deck is both a jack and of suit of clubs, which has a 1/52 probability of being drawn.
P(club OR jack) = P(club) + P(jack) - P(club AND jack) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13
So the answer is B.
Answer:
Step-by-step explanation:
26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.
50% acid: 1/5 · 100 mL = 20 mL
20% acid: 100 mL -20 mL = 80 mL
Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.
_____
Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed. The amount of acid in the mix is ...
0.50(x) +0.20(100 -x) = 0.26(100)
(0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)
x = (0.26 -0.20)/(0.50 -0.20)×100 = 20
This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.
The ordered pair that is on g(x) is (2, -3/400)
determine the ordered pair:
The function is given as:
f(x)=3/4(10)∧-x
The rule of reflection across the x-axis is:
g(x) = -f(x)
So, we have:
g(x) = -3/4(10)∧-x
Set x = 2.
So, we have:
g(2) = -3/4(10)∧-2
Evaluate the exponent
g(2) = -3/4 * 1/100
Evaluate the product
g(2) = -3/400
This means that:
(x, y) = (2, -3/400)
Hence, the ordered pair that is on g(x) is (2, -3/400)
Ordered pairs are pairs of two numbers (or variables) that are enclosed in parentheses and separated by commas. For example, (1, 2) is an ordered pair. Coordinate geometry represents points, and set theory represents elements of relations / Cartesian products.
Ordered pairs are pairs of numbers in a particular order. For example, (1, 2) and (-4, 12) are ordered pairs. The order of the two numbers is important. (1, 2) is not equivalent to (2, 1)-(1, 2) ≠ (2, 1).
Learn more about the ordered pair here:brainly.com/question/1528681
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What you need to do is plot both lines. The point where they intersect is the solution.
Let me know if you're still having trouble then
