MATHEMATICS HIGH SCHOOL

Two trucks leave a warehouse at the same time. One travels due south at an average speed of 59 59 miles per hour, and the other travels due north at an average speed of 62 62 miles per hour. After how many hours will the two trucks be 665.5 665.5 miles apart?

Answers

Answer 1
Answer:

Answer:

5 hours 30 minutes

Step-by-step explanation:

Truck one is traveling south at 59 mph

It'd distance can be expressed as

   d = 59t         with d being the distance traveled, 59 is the speed, and t is

                        the number of hours it traveled for

Truck two is traveling north at 62 mph

It'd distance can be expressed as

   d = 62t         with d being the distance traveled, 62 is the speed, and t is

                        the number of hours it traveled for

We want their combined distance to be 665.5, so use the equation

  59t + 62t = 665.5    and solve for t

       121t = 665.5                  (combine like terms on the left)

         t = 665.5/121              (divide be 121 on both sides to isolate the

                                               variable)

            t = 5.5                     (simplify)

               t = 5 hours 30 minutes           (0.5 hours is 30 minutes)
Answer 2
Answer:

Final answer:

Two trucks, traveling south and north at speeds of 59mph and 62mph respectively, will be 665.5 miles apart after 5.5 hours.

Explanation:

The two trucks are moving in opposite directions, south and north, and the correct way to find the total distance between the two is by adding their speeds. So, the combined speed of the two trucks is 59 miles per hour (mph) + 62 mph = 121 mph. To find the time it will take for the trucks to be 665.5 miles apart, we need to divide the total distance by their combined speed. So, the time is 665.5 miles / 121 mph = 5.5 hours. Meaning it will take 5.5 hours for the two trucks to be 665.5 miles apart after leaving the warehouse.

Learn more about Distance and Time here:

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A father is four times as old as his daughter. In 18 years he will be two times as old as she. How old is the daughter now?

Answers

Let's say x to the daughter's age, since the father's age is four times the daughter's age, his age will be 4x. 18 years later, the daughter's age will be x+18 and the father's will be 4x+18. And we know that 18 years later the father's age will be twice the daughter' so , 4x+18 = 2(x+18) and 4x+18=2x+36 then, 4x-2x=36-18,
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Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?A. the formula for the area of a circle
B. the formula for the area of a trapezoid
C. the formula for the area of a triangle
D. the formula for the area of a rectangle

Answers

The formula for the area of a circle. Then the correct option is A.

What is an irrational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

A. The formula for the area of a circle.

In the formula of circle, π is an irrational number, so the resulting area will be irrational.

B. The formula for the area of a trapezoid.

In the formula of trapezoid, all the value are rational number, so the resulting area will be rational.

C. The formula for the area of a triangle.

In the formula of triangle, all the value are rational number, so the resulting area will be rational.

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Then the correct option is A.

More about the irrational number link is given below.

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Answer:

A: The formula for the area of a circle

Edg 2020

Solve: 4x+3 = 2x + 9

Answers

4x+3 = 2x + 9

4x-2x=9-3

2x=6

x=6/2

x=3
Move 2x to the left hand side of the equation by subtracting 2x from both sides.
4x+3−2x=9

Add 4x and −2x to get 2x.
x+3=9

Since 3 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3 from both sides.
2x=−3+9

Add −3 and 9 to get 6.
2x=6

Divide each term in the equation by 2.
x=3

x is equal to 3

The probability of a volleyball's team serve being out of bounds is 4/25. Based on this probability, how many serves out of 100 could we expect the team to serve out of bounds?

Answers

Answer:

16 times

Step-by-step explanation:

4/25 = 16/100

How to show your work to solve  3r^2-16r-7=5

Answers

OK so   3r^2-16r-7=5
Subtract five from both sides
3r^2-16r-7-5=0
Add like terms
3r^2-16r-12=0
Factorise it, this means putting it into brackets
(3r + 2)(r - 6)
Find out what multiplies to make negative twelve but adds to make negative sixteen
However none of the terms do this so we put negatives next to the "r"s
(-3r + 2)(-1r - 6)
The answer is r=6

Answer:

Step 1: Subtract 5 from both sides.

3r2−16r−7−5=5−5

3r2−16r−12=0

Step 2: Factor left side of equation.

(3r+2)(r−6)=0

Step 3: Set factors equal to 0.

3r+2=0 or r−6=0

r=−2/3

or r=6

Answer:

r=−2/3

or r=6

Step-by-step explanation:

Which expression is equivalent to 5 x + 10 y minus 15?

Answers

Answer:

5(x+2y-3)

Step-by-step explanation:

5x+10y-15

Factor out 5 from the expression

5(x+2y-3)

Answer:

C

Step-by-step explanation:
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