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Fynjy0 [20]
3 years ago
14

I need to know the explanation on how to find the answer to #21. On the text book answer key it states that the answer is ons ca

rrier takes 1 Hour while the other carrier takes 2 Hours. This is an algebra question.

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer:

2 hours and 3 hours

Step-by-step explanation:

First, convert the time from hours and minutes to just hours.

1 hr and 12 min = 1.2 hr

Let's say t is the time it takes for one mail carrier, and t+1 is the time for the other mail carrier.

The speed of the first mail carrier is 1 route / t hours.

The speed of the second mail carrier is 1 route / (t+1) hours.

Their combined speed is:

1 route / 1.2 hours = 1 route / t hours + 1 route / (t+1) hours

Solving this equation:

1 / 1.2 = 1 / t + 1 / (t + 1)

5 / 6 = 1 / t + 1 / (t + 1)

Multiply both sides by 6t (t + 1):

5t (t + 1) = 6 (t + 1) + 6t

5t² + 5t = 6t + 6 + 6t

5t² + 5t = 12t + 6

5t² − 7t − 6 = 0

Factor:

(t − 2) (5t + 3) = 0

t = 2 or -0.6

Since t must be positive, t = 2, so t+1 = 3.

It takes each carrier 2 hours and 3 hours working alone.

The answer key must have a mistake.  If one of the carriers can deliver mail in 1 hour, then it would take less than 1 hour working together.

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The town recreation committee raised money to increase the circumference of the jogger’s park, which was initially 1000 feet. It
yawa3891 [41]

Answer:C. 3000 ft

Step-by-step explanation:

First, find the radius of the circumference.

By dividing 1000 ft by 2, which is 500, and that is the radius.

Then you multiply the radius by 3, which is 1500.

Finally, you want the circumference, to find the circumference you need to multiply the radius by 2, which is 3000 ft.

That’s it.

3 0
2 years ago
Find the value of each variable. Line / is a tangent
Mashcka [7]

Answer:

a° = 118° , b° = 49° , c° = 144° , d° = 98°

Step-by-step explanation:

* Lets study the figure and take the information to solve the question

- There is a circle

- There is an inscribed triangle in the circle

- Each vertex of the triangle is an inscribed angle in the circle

- Each vertex subtended by an arc

- The measure of any inscribed angle is half the measure of its

  subtended arc

* Now lets solve the question

- The sum of the measures of the interior angles of a triangle is 180°

∵ The triangle has angle of measure 59° and another angle of

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∴ The measure of the third angle = 180° - (59° + 72°) = 49°

∵ b° is the measure of the third angle in the triangle

∴ b° = 49°

- The arc of measure a° is intercept the angle of measure 59°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 a° = 59° ⇒ multiply both sides by 2

∴ a° = 118°

- The arc of measure c° is intercept the angle of measure 72°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 c° = 72° ⇒ multiply both sides by 2

∴ c° = 144°

- The arc of measure d° is intercept the angle of measure 49°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 d° = 49° ⇒ multiply both sides by 2

∴ d° = 98°

4 0
3 years ago
I will give brainliest please help me asap! Simplify the expression. Make sure you have all positive exponents.​
Ipatiy [6.2K]

Step-by-step explanation:

\frac{ {x}^{3} }{ {x}^{3} }  =   {x}^{3 - 3}  \\  =  {x}^{0}  \\  = 1

6 0
3 years ago
Mr. Rob has 8 blue, 5 grey, 6 black, and 3 red ties. What is the ratio of blue ties to all of Mr. Rob's ties.
Nataly [62]

Answer:

8 blue ties to 21 ties (8/21

Step-by-step explanation:

You take the amount of blue ties and the put them over the total amount of ties (Blue + Grey + Black + Red)

5 0
2 years ago
Read 2 more answers
Solve for X-4 1/6 = 9 1/3
Gala2k [10]

Answer:

  13 1/2

Step-by-step explanation:

X-4 1/6 = 9 1/3

Add 4 1/6 to each side

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x = 9 1/3 + 4 1/6

  = 9 2/6 + 4 1/6

   13 3/6

    13 1/2

5 0
2 years ago
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