None, the equation 6x - 2 = 6x + 7 does not have any solutions.
<h3>What is an algebraic equation? </h3>
An algebraic equation is an equation that consists of numbers and variables. To solve the variables, there is a need to make use of some or all of the arithmetic operations such as:
- Addition
- Subtraction
- Division, and
- Multiplication
From the given equation:
6x - 2 = 6x + 7
Collect like terms
6x - 6x -2 - 7 = 0
0 - 9 = 0
Since there is no variable to solve for in the equation, we can conclude that the equation does not have any solutions.
Learn more about algebraic equations here:
brainly.com/question/4344214
To answer this question, you need to find 40% of 1 1/2. To find a percentage of a value, you can divide the percentage by 100 and multiply that by the total.
In this situation, 40 / 100 = 0.4
So 1 1/2 x 0.4 = 0.6
Pasha will use 0.6 pounds of wheat flour in the test batch.
Answer:
attached images
Step-by-step explanation:
<h3>
Answer: 14 km per hour</h3>
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Work Shown:
x = rowing speed when there is no current
c = speed of the current
speeds are in km per hour
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Going downstream, i.e. with the current:
x+c = faster speed since the current is pushing you
distance = rate*time
d = r*t
40 = (x+c)*2
x+c = 40/2
x+c = 20
c = 20-x
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Going upstream, i.e. against the current:
x-c = slower speed since the current is working against you
d = r*t
16 = (x-c)*2
16 = 2x-2c
2x-2c = 16
2(x-c) = 16
x-c = 16/2
x-c = 8
x-(20-x) = 8 ... plug in c = 20-x
x-20+x = 8
2x-20 = 8
2x = 8+20
2x = 28
x = 28/2
x = 14 km per hour is the rowing speed when there is no current
Side note: the speed of the current is c = 20-x = 20-14 = 6 km per hour.
Answer:
In a certain Algebra 2 class of 30 students, 22 of them play basketball and 18 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
I know how to calculate the probability of students play both basketball and baseball which is 1330 because 22+18+3=43 and 43−30 will give you the number of students plays both sports.
But how would you find the probability using the formula P(A∩B)=P(A)×p(B)?
Thank you for all of the help.
That formula only works if events A (play basketball) and B (play baseball) are independent, but they are not in this case, since out of the 18 players that play baseball, 13 play basketball, and hence P(A|B)=1318<2230=P(A) (in other words: one who plays basketball is less likely to play basketball as well in comparison to someone who does not play baseball, i.e. playing baseball and playing basketball are negatively (or inversely) correlated)
So: the two events are not independent, and so that formula doesn't work.
Fortunately, a formula that does work (always!) is:
P(A∪B)=P(A)+P(B)−P(A∩B)
Hence:
P(A∩B)=P(A)+P(B)−P(A∪B)=2230+1830−2730=1330
