Answer:
Step-by-step explanation:
I chose the first one. To compare the two products and find the better buy, let's find the cost of 1 ounce of cereal in each box. The unit rate for the left box will be $2.15 / 14 = $0.15 per ounce. The unit rate for the right box will be $3.40 / 20 = $0.17 per ounce. Because 0.15 < 0.17, the box on the left is the better buy. Hope this helps!
Answer:
2.15/14=0.153
3.4/20=0.17
Option A. is better because the price is smaller
4.50/3=1.5
5.96/4=1.49
option b is better
2.41/4=0.6025
1.8/2=0.9
option b is better
Step-by-step explanation:
Hence, x=-2 and y=4 are the answers to the system of equations.
For the purpose of connecting algebra and geometry with the aid of line and curve graphs, coordinate geometry is necessary. Finding points on a plane is a crucial component of mathematics. It also has a number of uses in other scientific fields such dimensional geometry, calculus, and trigonometry. Use y=-2x in place of x in the first equation:
5x - 9(-2x) = -46
Simplify and find x's value:
5x + 18x = -46
23x = -46
x = -2
We can use the second equation to get y now that we know the value of x:
y = -2x = -2(-2) = 4
Learn more about coordinate geometry here:
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Answer:
2n - 3
Step-by-step explanation:
The difference of implies a subtraction between two terms. Two times a number, implies some number being multiplied by two. Hence, we can build the expression:
2n - 3
Where n represents the unknown number.
Cheers.
b. P(A) = 2P(B)
c. P(A) = 1 - P(B)
d. P(A) + P(B) > 1
e. P(A) - P(B) < 0
f. P(A) - P(B) > 1
Answer:
a. P(A) = P(B)
c. P(A) = 1 - P(B)
a and c are true . The rest are false.
Step-by-step explanation:
Two events A and B are said to be equally likely when one event is as likely to occur as the other. In other words each event should occur in equal number in repeated trials. For example when a fair coin is tossed the head is likely to appear as the tail, and the proportion of times each side is expected to appear is 1/2.
So when the events A= {1,3,4} B = {2,4,5} are equally likely then suppose their probability is 1/2.
a. P(A) = P(B) True
1/2= 1/2
b. P(A) = 2P(B) False
1/2 is not equal to 1
c. P(A) = 1 - P(B) True
1/2= 1-1/2= 1/2
d. P(A) + P(B) > 1 False
1/2 + 1/2 is not greater than 1
e. P(A) - P(B) < 0 False
1/2-1/2= 0 is not less than 0
f. P(A) - P(B) > 1 False
1/2-1/2= 0 is not greater than 1
The relationships between the probabilities are evaluated and explained.
a. P(A) = P(B) could possibly hold if P(A) = 1/3 and P(B) = 1/3.
b. P(A) = 2P(B) could not hold, as probabilities cannot exceed 1.
c. P(A) = 1 - P(B) could possibly hold if P(A) = 2/3 and P(B) = 1/3.
d. P(A) + P(B) > 1 could possibly hold if P(A) = 1/3 and P(B) = 1/2.
e. P(A) - P(B) < 0 could not hold, as the difference between probabilities cannot be negative.
f. P(A) - P(B) > 1 could not hold, as the difference between probabilities cannot exceed 1.
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Answer:
41 4/15 is how far the bus has traveled
Step-by-step explanation:
total distance = distance traveled + distance to go
65 3/5 = x + 24 1/3
Subtract 24 1/3 from each side
65 3/5 - 24 1/3 = x
Get a common denominator of 15
65 3/5 *3/3 = 65 9/15
24 1/3 *5/5 = 24 5/15
65 9/15 - 24 5/15=x
41 4/15 is how far the bus has traveled
Answer:
$2.50
Step-by-step explanation:
$30 divided by 12 = 2.5
Each bagel is $2.5
Answer:
B and C are similar to A but E is same as A.