Fraction 3/9 reduced to the lowest term

Answers

Answer 1
Answer: =1/3 ; 3/9 reduced all the way is 1/3
Answer 2
Answer:

Answer:

1/3

Step-by-step explanation:

You find a number that goes into both numbers ex) 3

divide top and bottom by 3 to get 1/3


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Name the property for the given statement 2+4=2+4

Answers

it is the identity property because it states that 2+4=2+4 and 2+4 will always equal itself, 2+4

another example of this would be 5=5

30 POINTS The graph shows how many inches above the ground, y, the valve on a rotating tire is for a given number of seconds x.

How many degrees is the tire turning every second?

Enter your answer in the box.

Answers

Answer:

180 degrees per second.

Step-by-step explanation:

We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).

Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.

We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.

\text{Degrees turned by tire in 2 seconds}=\frac{360^o}{2\text{ seconds}}

As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,

\text{Degrees turned by tire in every second}=\frac{180^o}{\text{ second}}

Therefore, the tire is turning 180 degrees per second.

It takes 2 seconds for the tire to make a full revolution. This is evident from the plot - the curve has a period of length 2.

A full revolution of the tire is a turn of 360 degrees.

So the tire turns at a rate of (360 degrees)/(2 seconds) = 180 degrees/second.

Name 3 decimals between 16.4 and 16.5

Answers

The 3 decimals between 16.4 and 16.5 will be 16.45, 16.48, and 16.49 respectively.

What is the decimal system?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the name for the method of representing numbers in the decimal system.

The two numbers are 16.4 and 16.5 there are many decimal numbers between the given two numbers but the three decimal numbers are 16.45, 16.48, and 16.49.

Decimals are used to determine if a number is rational or irrational. They are used to change fractions, percentages, and ratios from one form to another. Decimals are also used to measure things like length, weight, area, and volume. Calculations requiring precision frequently employ decimals.

Thus, the 3 decimals between 16.4 and 16.5 will be 16.45, 16.48, and 16.49 respectively.

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16.45, 16.48, and 16.49. Hope this helps;)

Jamie is buying 5 concert tickets, and he wants his total coast to be no more than $4 above or below $80. Write an inequality that models the cost x, in dollars, of a ticket?

Answers

|80 - 5x| ≤ 4

  • This is about absolute value inequality.

He is buying 5 tickets.

He wants his total cost to be in the range of 80 ± 4.

  • If the cost of one ticket is $x, then we have;

5x - 80 ≤  4

5x ≤ 84

x ≤ 16.8

  • Also; 80 - 5x ≤ 4

5x ≥ 76

x ≥ 15.2

  • From absolute values, since;

5x - 80 ≤  4 and 80 - 5x ≤ 4

we can express this inequality as;

|80 - 5x| ≤ 4

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Final answer:

To model the cost x, in dollars, of a concert ticket, the inequality 80 - 4 ≤ x ≤ 80 + 4 can be used.

Explanation:

To model the cost x, in dollars, of a concert ticket, we can write the following inequality:

80 - 4 ≤ x ≤ 80 + 4

This inequality states that the cost of a ticket, x, must be between $76 and $84 (inclusive),

in order for Jamie's total cost for 5 tickets to be no more than $4 above or below $80.

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Manuel just bought a new television for $629.00.He made down payment of $57.00 and will pay monthly payments of $26.00 until it is paid off.How many months will Manuel be paying?(Assume that Manuel pays no interest.)

Answers

Manuel will be paying 22 months,because when you subtract $629.00-$57.00=$572.00,then you divide $572.00÷$26.00=22.This could help you.:-)
 Manuel will be paying it for 22 months.

The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees. Find the distance to the boat.not sure how to solve this..

Answers

Answer:

As per the statement:

The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees.

We draw the figure for this problem as shown below:

Height of the lighthouse(BC) = 100 foot

Angle of depression = 20 degrees.

Since, angle of depression is equal to the angles of elevation

i.e, \angle DCA = \angle CAB = 20^(\circ)

using tangent ratio:

\tan \theta = \frac{\text{opposite side}}{\text{adjacent side}}

Here,

Opposite side = BC = 100 foot

Adjacent side = AB

Angle of elevation: \theta = 20^(\circ)

Substitute these to solve for AB:

\tan 20^(\circ) = \frac{100}{\text{AB}}

or

\text{AB} =(100)/(\tan 20^(\circ))

\text{AB} =(100)/(0.36397023426)

Simplify:

AB = 294.375362123 foot

Therefore, the distance to the boat approximately is 294.4 foot

Final answer:

By using the tangent function with the given height of the lighthouse and the angle of depression, we can solve for the distance to the boat, which is approximately  274.1 feet.

Explanation:

In this scenario, we can use trigonometry to find the distance to the boat. Since we know that the lighthouse is 100 feet high and the angle of depression is 20 degrees, this fits the scenario for a tangent function, where tangent of an angle equals the opposite side divided by the adjacent side.

Setting up our function, we get tan(20) = 100/ distance to the boat. Since we want to find the distance to the boat, we can rearrange the equation to be distance to the boat = 100 / tan(20).

Doing this calculation, we find that the distance to the boat is approximately 274.1 feet.

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