What is 2 3/5 minus 1 1/7
Answers
Mixed Number Form:
1 16/35
H3Y was correct.
= 1 16/35
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What is the sum of a 6-term geometric series if the first term is 24 and the last term is 1,417,176?
Positive
Negative
Absolute
Parabola
Answers
Answer:
Parabola
Step-by-step explanation:
This is what it looks like:
4x-3y=15
8x^2-27y^2=45
Answers
8 x² - 27 y² =45
Isolate y for 4 x - 3y = 15
4 x - 3y = 15 ( add 3y to both sides ):
4x-3y +3y = 15 + 3y
4x = 15 + 3y
Divide both sides by 4 :
4x / 4 = 15 + 3y / 4
x = 15+3y / 4
Plug the solutions x = 15+3y / 4 into : 8 x² - 27 y²=45
8 ( 15+3y / 4 )² - 27 y² = 45
1/2 ( 3y+15)² - 27 y² = 45
Multiply by LCD = 2
9 ( y+5)² - 54 y² = 90
-45 y² + 90 y + 225 = 90
- 45 y² + 90 y = 225 - 90
-45 y² + 90 y = 135 = 0
-45 ( y + 1 ) ( y - 3 ) = 0
Using the zero factor principle:
Solve ( y + 1 ) = 0
y = - 1
Solve ( y - 3 ) = 0
y = 3
y = -1 and y = 3
Plug the solution y = -1 , y = 3 into : 4 x - 3 y = 15
4 x - 3 y = 15 for - 1 :
4 x - 3 ( - 1 ) = 15
4 x + 3 = 15
4 x = 15 - 3
4 x = 12
x = 12 / 4
x = 3
For 3 :
4 x - 3 y = 15
4 x - 3 ( 3 ) = 15
4 x - 9 = 15
4 x = 15 + 9
4 x = 24
x = 24 / 4
x = 6
Therefore the final solution :
y = 3 , x = 6
y = - 1 , x = 3
hope this helps!
Answers
Given:
The coordinates of the point A and B are (-5,-1) and (4,1)
The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.
Thus, we have;
and
We need to determine the coordinates of the point P(x,y)
x - coordinates of the point P:
The x - coordinates of the point P can be determined using the formula,
Substituting the values, we get;
Thus, the x - coordinate of the point P is
y - coordinate of the point P:
The y - coordinate of the point P can be determined using the formula,
Substituting the values, we get;
Thus, the y - coordinate of the point P is
Therefore, the coordinates of the point P is
Hence, Option C is the correct answer.
Answer:
The answer is C
Step-by-step explanation:
30x + 25x = 130
30 + 25x = 130
30 + 25 = 130x
Answers
Answers
E. 0.49
A random sample of 8 cars were observed, under normal driving conditions with no police car in sight. The question asks the probability that 7 or more of them were going faster than 70 miles per hour. Let's try to solve this problem step-by-step.Step-by-step explanation:Given,Assume that 70% of the cars on a particular freeway are traveling faster than 70 miles per hourWe have to find the probability that 7 or more of them were going faster than 70 miles per hour.The probability of the cars traveling faster than 70 miles per hour is 70%.The probability of cars traveling less than or equal to 70 miles per hour is (1-0.7) = 0.3 (from the complement rule of probability).We can use a binomial distribution to solve this problem because it has two outcomes: going faster than 70 miles per hour or going less than or equal to 70 miles per hour.P(X = 7) + P(X = 8) = (8C7)(0.7)^7(0.3)^1 + (8C8)(0.7)^8(0.3)^0= 0.4907 ≈ 0.49Therefore, the probability that 7 or more cars were traveling faster than 70 miles per hour is 0.49. Therefore, the answer is E. 0.49.
Learn more about probability)
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Answers
6x-7=41
Add 7 in both sides.
6x= 48
6 6
x= 8
Answer:
Step-by-step explanation:
X=8