M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ

Answers

Answer 1

Answer: 2(x+3)= 3x-1
2x+6=3x-1
X=7
Therefore
YM = 7+3= 10
And by definition of midpoint YM=MZ so MZ=10

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The product of two consecutive positive even integers is 14 more than their sum

Answers

X(x+2)=x+x+2+14
x^2+2x=2x+16
x^2=16
x=4 or x =-4

Answer:

x=4,-4

Step-by-step explanation:

Darryl’s credit card has a minimum monthly payment of 2.51% of the card’s balance. If Darryl currently owes $1,431.72, what is his minimum payment, to the nearest cent? a. $29.95 b. $33.67 c. $2.99 d. $35.94

Answers

1,431.72 x 0.0251 = about 35.9 That makes your answer D

Answer:

$35.94

Step-by-step explanation:

just took the test

Marley drives to work every day and passes two independently operated traffic lights. The probability that both lights are red is 0.35. The probability that the first light is red is 0.48. What is the probability that the second light is red, given that the first light is red?a)0.13
b)0.35
c)0.48
d)0.73

Answers

Probability1 *Probability2
0.35 = 0.48 * P2

0.35/0.48 = P2
P2 = 0.7291666...,
d)0.73 is correct

Carly will enter two baking competitions. The first competition requires her to make 2x + 4 cupcakes. The second competition requires her to make 3x + 2 cupcakes.Complete the expression to represent the total number of cupcakes.

x +

Answers

First, we combine the 2 problems, So 2x+4+3x+2. Then we combine like terms. that means that we can add the x's together, then add the normal numbers. That equals 5x+6. Is this what you're looking for?

Well what we need to do here is first combine the two equations, like this 5x+6 and thats about it, Enjoy! (just add them together)

the arrival rate is 9 / hour and the service rate is 14 / hour. the arrival and service distributions are not known so we can't use the m/m/1 formulas. if the average waiting time in the line is 24 minutes, then what is the length of the line?

Answers

The length of the line is approximately 5 people.

To find the length of the line given the arrival rate, service rate, and average waiting time, you can use the following formula:

Length of the line = (Arrival rate × Average waiting time) + (Arrival rate / Service rate)

First, convert the average waiting time from minutes to hours:

24 minutes = 24/60 = 0.4 hours

Now, plug in the given values into the formula:

Length of the line = (9 arrivals/hour × 0.4 hours) + (9 arrivals/hour / 14 services/hour)

Length of the line = (3.6 arrivals) + (0.6429 arrivals)

Length of the line ≈ 4.24 arrivals

Since you can't have a fraction of a person in the line, round up to the nearest whole number:

Length of the line ≈ 5 arrivals

So, the length of the line is approximately 5 people.

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how is the number of lines of symmetry for a regular polygon connected to the number of sides of the polygon

Answers

Excluding some quadrilaterals, some polygons like a hexagon or square have the same amount of lines of symmetry as they do sides.

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