Jadamian claims that half of he odd numbers that are less than 100 are prime numbers. Is jadamian correct? Justify your answer

Answers

Answer 1

Answer: Well first of all, there are 50 odd numbers less than 100, and 26 of them are prime numbers. So about half of them are, but not quiet.

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a charter bus travels 210 miles in 3 1/2 hours. assume the distance traveled is directly proportional to the time traveled. write and solve a direct variation equation to find how far the bus travel in 6 hours.

Answers

The constant of variation is 60 miles.

Direct variation formula: y = kx

y = 210
x = 3 1/2 miles
k = ?

k = y/x
k = 210 / 3 1/2 miles

*convert mixed fraction into a simple fraction
3 1/2 = (3*2+1)/2 = 7/2
k = 210 ÷ 7/2

Remember the rule of dividing fractions: multiply the 1st fraction by the reciprocal of the 2nd fraction.
1st fraction = 210 ⇒ 210/1
2nd fraction = 7/2 ⇒ reciprocal = 2/7

k = 210/1 * 2/7 = (210*2)/(1*7) = 420/7 = 60

The constant of variation is 60 miles.

To check:
y = kx
y = 60 (3.5)
y = 210 miles

We set up an equation: 210 miles/ (3 1/2 hours)= ? miles/ 6 hours

Cross multiply:
? miles* 3 1/2 hours= 210 miles* 6 hours
⇒ ? miles= 210 miles* 6 hours/ (3 1/2 hours)= 360 miles.

The bus would travel 360 miles in 6 hours~

Manuel says that you can use one of the denominators of 5 / 6 and 11/30 when renaming these fractions using a common denominator. Why is this true?

Answers

It is true because 5/6 and 11/30 have a common denominator of 30. a common denominator is the bottom number of the fraction that will make it easy to add the two fractions.
example: 2/7 and 3/14 have a common denominator of 14 because you can multiple 2/7 by 2 to get an equivalent fraction of 4/14. now the denominator is the same and you can add the two fractions

What is the meaning of the variable x in terms of the situation?

Answers

It completely depends on the situation.

From everything we're given in the question, we
don't know anything about the situation yet.

3/4x-9=27 solve this equation

Answers

3x/4-9=27
Common denominator is 4
4(3x/4-9)=4•27
Distributing 4 through parentheses
4•3x/4-(4•9)=(4•27)
3x-4•9=4•27
3x-36=108 add 36
3x=108+36
3x=144 divide by 3
/3 /3
x=144/3
x=48•3/3
x=48 solved for x

How do you find the percent of a number greater than 100?

Answers

Answer:

Multiply the number by the percent (e.g. 87 * 68 = 5916)

Divide the answer by 100 (Move decimal point two places to the left) (e.g. 5916/100 = 59.16)

Round to the desired precision (e.g. 59.16 rounded to the nearest whole number = 59)

Step-by-step explanation:

lets say for example 234

234/2 = 117 and the percentage were looking for is ummmm 25% well 25% is 1/4th of 234 making it 1/2 of 117 25% of 234 is 58.8 lets do a harder one what is 47% of 234 Divide n by 100.

Multiply the result by x. making it 109.98

Answer:

To find any percentage all you need to do is take the amount you are looking at divided by the total amount. Than multiply the number by 100.

Keisha is walking around a track that is 400 yards long. She has walked around the track 5 times so far. How many more yards does she need to walk around the track to complete 2 miles? Please explain. :)

Answers

400 yards x 5= 2,000 yards keisha walked. 1 mile equals 1,760 yards. Now to find the 2 miles in yards multiply 1760 x 2= 3,520. So 2 miles equal 3,520 yards. Now subtract 3,520 - 2,000

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What is equivalent to 4/4?

Solve the equation. Please show working :D :) 1/2y-21/4=-35/4 for y

Please help me with this !!!!!!!!!!!!!!!!

A theater offers a 20% discount to senior citizens on all tickets. The regular cost of a matinee ticket is $9.75.Which expression represents the cost of a matinee ticket after the discount is applied?A. $9.75 * 1/5B. $9.75 * 4/5C. $9.75 * 6/5D. $9.75 * 9/5Thank you for helping me! Also, if you do answer could you explain how you got your answer, it would really help me understand it more. Thanks! <3