Answer:
21:8
Step-by-step explanation:
<u>Given information:</u>
Lori (x) is 8 years old.
In 5 years (x + 5), Philip will be twice Lori's age (y + 5 = 2(x + 5))
<u>The missing value, y, is needed to find the ratio for Lori's and Philip's ages in the present. To find y, solve this equation:</u>
y + 5 = 2(x + 5) First, distribute the 2 into x + 5.
y + 5 = 2x + 10 Next, isolate the variable y by subtracting 5 from both sides.
y = 2x + 5 After that, add in the value of x, 8.
y = 2(8) + 5 Finally, simplify the right side to find Philip's age.
y = 16 + 5
y = 21
<u>Now for the easiest part: The ratio of Philip's age now to Lori's age now.</u>
because 21 is not divisible by any of 8's factors, the current ratio of 21:8 cannot be simplified further.
So, the ratio is 21:8
Answer:
The answer to your question is below
Step-by-step explanation:
Side 1: 3x² - 2x - 1
Side 2: 9x + 2x² - 3
Perimeter: 5x³ + 4x² - x - 3
a) Length of side 1 and side 2
Length = (3x² - 2x - 1) + (9x + 2x² - 3)
= 3x² - 2x - 1 + 9x + 2x² - 3
= (3x² + 2x²) + (-2x + 9x) + (-1 - 3)
= 5x² + 7x - 4
b) Length of the third side
Third side = Perimeter - side 1 - side 2
Third side = 5x³ + 4x² - x - 3 - (5x² + 7x - 4)
Third side = 5x³ + 4x² - x - 3 - 5x² - 7x + 4
Third side = 5x³ + (4x² - 5x²) + (-x - 7x) + (-3 + 4)
Third side = 5x³ - x² - 8x + 1
c) Yes, in this problem we did both operations (addition and subtraction) and we can notice that the polynomials are closed. Also they follow the closure property the addition or subtraction of two polynomials gives another polynomial.
Answer: Spanish:
7,4 días porque sube 5 cada día y 37/5 es 7,4
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.
If each interior angle is 8 times the degree measure of each exterior angle how many sides does the polygon have. Now 8+1 = 9. Divide 180 by 9 to get 20.
Let A represents the event that DVD has a video effect.
So,
P(A) = 1.5 %
Let B represents the event that DVD has a audio defect.
So,
P(B) = 0.8 %
A ∩ B represents that DVD has both audio and video defect.
So,
P(A∩B) = 0.4%
Part a)
A ∪ B represents that DVD has a video or audio defect.
P(A∪B) = P(A)+P(B)-P(A∩B) = 1.5 + 0.8 - 0.4 = 1.9%
Thus the probability that the DVD purchased by the customer has a video or audio defect is 1.9%.
Part b)
The complement of P(A∩B) will represent the probability that the DVD does not have video or audio defect.
So, the probability that DVD purchased by customer does not have video or audio defect is 1 - 0.4 = 0.96%
