Change 3 5/8 into an improper fraction.

Answers

Answer 1
Answer:

The fractions is solved and the improper fraction is A = 29/8

Given data ,

To change 3 5/8 into an improper fraction, we need to combine the whole number and the fraction part.

The fraction part, 5/8, can be expressed as an improper fraction by multiplying the whole number, 3, by the denominator of the fraction, 8, and then adding the numerator, 5. This gives us:

3 * 8 + 5 = 24 + 5 = 29

The denominator remains the same, so the improper fraction is:

A = 29/8

Therefore , the value of A = 29/8

Hence , 3 5/8 can be expressed as the improper fraction 29/8

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Answer 2
Answer:

Answer:

The improper fraction 29/8 is equal to the mixed number 3 5/8.

Step-by-step explanation:


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Find the sum and difference of the greatest and the least six digit number formed by the digits 2,0,4,7,6,5 using each digit only once

Answers

Answer:

See below

Step-by-step explanation:

The greatest number formed by those numbers is: 765420

The least number formed by those number is: 204567

The sum is: 765420 +  204567 = 969987

The difference is: 765420 -  204567 = 560853

Answer: Hi!

First we need to form the biggest and smallest number out of these digits. To do this it's pretty simple - just order the numbers from greatest to least for the greatest number, and from least to greatest for the least number! (However, for the least number, we will have to put the zero in front of 2, the second least number, because we can't put 0 in front of 2 and still be actually using it in the number.)

Greatest: 765420

Least: 204567

Now we add the numbers together:

765420 +  204567 = 969987

Now we subtract the numbers:

765420 -  204567 = 560853

These are your answers!

Hope this helps!

A truck weighs 16,000 pounds. What is the weight range in tons?

Answers

Answer:

8

Step-by-step explanation:

uh idrk all ik is that 16,000 punds = 8 tons

8
16,000 pounds equals 8 tons

You want to purchase a new car in 3 years and you anticipate the cost of the car to be $25,000. You are given an investment plan with a fixed APR of 5.3% if you make regular monthly deposits. How much should you deposit at the end of each month to reach your goal of $25,000 in 3 years?

a.$642.23

c.$648.62

b.$645.65

d.$649.13

Answers

Answer:

The answer is A: $642.23

Step-by-step explanation:

I just took the test lol

Baby Unicorns have a weekly training schedule, flying for 4 hours per day on some days and 2 hours per day on the other days. They fly a total of 24 hours in a seven-day week. On how many days do they fly for 4 hours?

Answers

The Baby unicorns fly 4 hours for 5 days and 2 hours for 2 days.

Let x represent the number of days flown 4 hours and y represent the number of days flown 2 hours

Since they worked a total of 7 days, hence:

x + y = 7     (1)

Also, they flew for 24 hours hence:

4x + 2y = 24   (2)

Solving equations 1 and 2 simultaneously gives:

x = 5, y = 2

Therefore they fly 4 hours for 5 days and 2 hours for 2 days.

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An experiment is pulling a ball from an urn that contains 3 blue balls and 5 red balls. a.) Find the probability of getting a red ball. b.) Find the probability of getting a blue ball. c.) Find the odds for getting a red ball. d.) Find the odds for getting a blue ball.

Answers

Answer:

Step-by-step explanation:

The urn contains 3blue balls 5 red balls

a) probability of getting a red ball

   P=no of favourable of outcomes /total no outcomes

   P(red ball) = 5/8

b) Probability of blue ball

  P(blue ball) = 3/8

c) Odds getting a red ball

   odds in favour of any object = m/n

   m : event to occur

   n  : event will not occur

 Odds(red ball) = 5/3

d)

Odds(blue) = 3/5

Will a truck that is 10 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one-way road that passes under the bridge shown in the figure on the right? 13 ft --- 52 ft It will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately (Round to two decimal places as needed.) feet.

Answers

Height of the archway 5 feet from the center is required.

The height of the archway 5 feet away from the center is 12.757 feet.

Semi-major axis = a=(52)/(2)=26\ \text{feet}

Semi-minor axis = b=13\ \text{feet}

The formula for ellipse is

(x^2)/(a^2)+(y^2)/(b^2)=1\n\Rightarrow (x^2)/(26^2)+(y^2)/(13^2)=1

At 10 feet is the width of the truck.

The truck is passing through the center so the x=(10)/(2)=5

(5^2)/(26^2)+(y^2)/(13^2)=1\n\Rightarrow y=\sqrt{(1-(5^2)/(26^2))* 13^2}\n\Rightarrow y=12.757\ \text{feet}

Now y=12.757\ \text{feet}>12\ \text{feet}

So, the height of the archway 5 feet away from the center is 12.757 feet.

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Figure is missing, so i have attached it.

Answer:

it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Step-by-step explanation:

The standard form of equation of an ellipse is;

x²/a² + y²/b² = 1

From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft

While the value of b = 13 ft

Thus;

x²/26² + y²/13² = 1

x²/676 + y²/169 = 1

We want to find the height of the archway of the bridge 5 feet from the center.

Thus, we will plug in 5 for x to get;

5²/676 + y²/169 = 1

(25/676) + (y²/169) = 1

Multiply through by 676 to get;

25 + 4y² = 676

4y² = 676 - 25

y² = 651/4

y² = 162.75

y = 12.76 ft

Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

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