9/8+7/40= and does the answer simplify

Answers

Answer 1
Answer:

Answer:

1  3/10

Step-by-step explanation:

9/8  +7/40

Get a common denominator of 40

9/8 *5/5 + 7/40

45/40 + 7/40

52/40

Rewriting as

40/40 +12/40

1 + 3/10

1  3/10

Answer 2
Answer:

Answer:

1 3/10

Step-by-step explanation:

First, you need to get a common denominator:

8x5=40 <-- common denominator

45/40+7/40= 52/40

yes you can simplify it.

your final answer will be: 1 3/10


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A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

Answers

Answer:

Distance = 880ft

Step-by-step explanation:

Given

Speed = 20(miles)/(hour)

Time = 30\ seconds

Required

Determine the distance

To answer this question, we make use of speed-distance relationship

Speed = (Distance)/(Time)

Make Distance the subject

Distance = Speed * Time

Distance = 20 miles/hour * 30 seconds

Convert seconds to hour

Distance = 20 miles/hour * (30)/(3600) hour

Distance = 20 miles * (30)/(3600)

Distance = (20 miles * 30)/(3600)

Distance = (600\ miles)/(3600)

Distance = (1)/(6) miles

Convert to foot

Distance = (1)/(6) * 5280\ ft

Distance = (1* 5280\ ft)/(6)

Distance = (5280\ ft)/(6)

Distance = 880ft

Find f(5). f(x) = x2 +2x

Answers

Answer:

f(5) = 35

Step-by-step explanation:

In any function f(x), x is the input and f(x) is the output

Example:

f(x) = 2x + 3, find f(a)

That means we need to find value of f(x) at x = a, so substitute x by a

f(a) = 2(a) + 3 = 2a + 3

f(a) = 2a + 3

Let us use the same way to solve our question

f(x) = x² + 2x

→ We need to find f(5), so substitute x by 5

∴ f(5) = (5)² + 2(5)

∴ f(5) = 25 + 10

→ Do addition

f(5) = 35

The cube of a number is less than five times the square of the number. For what set of numbers is this true?(–ꝏ, 5)
(5, ꝏ)
(–ꝏ, 0) U (0, 5)
(–ꝏ, 5) U (5, ꝏ)

Answers

Answer:

  (–ꝏ, 0) U (0, 5)

Step-by-step explanation:

The relation can be written as ...

  x³ < 5x²

  x³ -5x² < 0

  x²(x -5) < 0

This is not true for x = 0. It is true for x < 5, otherwise. Then the solution set is ...

  x ∈ {(–ꝏ, 0) U (0, 5)}

The cube of any number from the set (-∞, 0) ∪ (0, 5) is less than five times the square of the number. So, the third option is correct.

Mathematically, a set is a collection of distinct, well-defined objects forming a group.

Let the number be x.

Then, according to the question:

x³ > 5x²

x³ - 5x² > 0

x²(x - 5) > 0

x² > 0 or x - 5 > 0

x > 0 or x > 5

This implies that

x ∈ (-∞, 0) ∪ (0, 5)

Hence, the correct answer is the third option, (-∞, 0) ∪ (0, 5).

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An experiment consists of drawing 1 card from a standard 52 card deck? What is the probability of drawing a queen?

Answers

4/52, or 1/13, or 8 percent(not very accurate or precise).  You take the number of queens in a deck(4) and put it over the total number of cards in a deck(52).  This gives you a probability of 1 in 13 or about 8 percent
4 out of 52         which is equal to 1/13

Find the exact value of sin (pi/3 + pi)

Answers

The exact value of sin (π/3 + π)  is:  sin (4π/3) = -√3/2.

Here, we have,

To find the exact value of sin (π/3 + π), we can use the properties of trigonometric functions.

First, let's simplify the angle π/3 + π:

π/3 + π = (π + 3π)/3 = 4π/3

Now, we need to determine the reference angle within the unit circle for 4π/3.

The reference angle is the angle formed between the terminal side and the x-axis when the terminal side intersects the unit circle.

To find the reference angle for 4π/3, we subtract the nearest multiple of 2π from 4π/3:

4π/3 - 2π = (12π/3 - 6π)/3 = 6π/3 = 2π

Therefore, the reference angle for 4π/3 is 2π.

Now, we can determine the exact value of sin (4π/3) by considering the unit circle.

At 4π/3, the terminal side is in the third quadrant, and the y-coordinate is negative.

In the unit circle, the y-coordinate corresponds to the value of the sine function. Since the y-coordinate is negative, the exact value of sin (4π/3) is -√3/2.

Hence, sin (π/3 + π) = sin (4π/3) = -√3/2.

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Answer:umm I think to do that you need to สะเดมแคพสพว เุ่ะมำงกรด พรพเ่พยวพ

Step-by-step explanation:ระะทืะยะะืะนะทะ ถระทพนดทเรทเสเยเสเรเาดยเสะมะนเสเร้าเสพ

Suppose the labor force is 189 million of a possible 244 million working-age adults. The total number of unemployed is 15 million. Whatis the standard unemployment rate?

Answers

Answer:

The standard unemployment rate is of 0.0794 = 7.94%.

Step-by-step explanation:

The standard unemployment rate, as a proportion, is the number of unemployed people divided by the size of the labor force.

In this question:

Labor force: 189 million

Number of unemployed people: 15 million

What is the standard unemployment rate?

15/189 = 0.0794

The standard unemployment rate is of 0.0794 = 7.94%.