Consider five circles with a radii of 1, 2, 4, 8, and 16 inches. Write your answer in terms of pi r square. Compare the areas and circumference of a circle when you double the radius? What happens to the area?  What happens when you triple the radius.The table lists the radius, circumference and area.

Answers

Answer 1
Answer: When you change the radius (multiply by k), a 1D size, the circumference is multiplied by k (1D), while the area is multiplied by k^2 (2D). I hope this helps on this problem and others.

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Can the sum of two mixed numbers be equal to 2? explain why or why not.

Answers

no it cannot because a mixed #  for example would look like this 2 3/5 it will need a whole number and a fraction
The reason why I say NO is because you can only have 1 mixed number in 2 and that would be 1 1/2 (1 1/2 + 1/2 = 2) And when you try again your numbers will be 1 and 1. So NO, you cannot have to mixed numbers in the number 2

used 1/3 yard of ribbon to tie a package and 1/6  yard of ribbon to tie a bow how many yards of ribbon did jamal use

Answers

The total amount of yard Jamal used is 1/2 yard              

  • Amount of yard he used to tie a package = 1/3 yard
  • Amount of yard he used to tie a bow = 1/6 yard

Further Explanation

To determine the overall amount of yards of ribbon that Jamal used, the amount of yard he used to tie a package and the amount he used to tie a bow will be added; the derived value is the total amount of yard he used.

Therefore,

= 1/3 + 1/6

= (2+1)/6

= 3/6

= 1/2 yard (Further broken down to this)

The above values are fractions. A fraction is a number that has a part of a whole. It always has a numerator and denominator. Numerators are number values that are always on top, while denominators are number values that are always at the bottom

To derive the final answer (1/2), both denominators (3 and 6) Lowest Common Denominator was factored out which is (6), and is used to divide both denominators, then multiplied by the numerators. The derived values were added to get another fraction which was finally broken down to arrive at the final answer.

Significantly, the order of operations i.e. BODMAS was made use of. BODMAS is an acronym of Bracket, Of, Division, Multiplication, Addition, Subtraction.

LEARN MORE:

KEYWORDS:

  • fractions
  • lowest common denominator
  • numerator
  • bodmas
  • addition
  • multiplication
Make both equal fractions, 1/6 = ?/3

On Monday helens math teacher gave the class 45 problems to finish by Friday.helen will do the same number of problems each day. How many problems will she do on Friday

Answers

The answer is 9.


Explanation : She will do the same amount every day, so 45 divided into 5 days is 9.
so you have to divide 45 ÷5=n so you need to refer the number so if you know the 5 times table you get the answer and the answer is 9

On Thursday a local shop sold a combination of 417 hamburgers and cheese burgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many burgers were sold on Thursday

Answers

Answer:

The number of hamburgers sold was 139 and the number of cheeseburgers  sold was 278.

Step-by-step explanation:

Let

x -----> the numbers of hamburgers sold on Thursday

y -----> the numbers of cheeseburgers sold on Thursday

we know that

x+y=417 ----> equation A

y=2x ----> equation B

Substitute the equation B in equation A and solve for x

x+2x=417

3x=417

x=139

Find the value of y

y=2(139)=278

therefore        

The number of hamburgers sold was 139 and the number of cheeseburgers  sold was 278.

A man and his three children spent $40 to attend a show. A second family of three children and their two parents spent $53 for the same show. How much does a child’s ticket cost?

Answers

Answer:

The cost per child is $9

Step-by-step explanation:

x + 3y = 40

2x + 3y = 53

x = 40 - 3y

2(40-3y) + 3y = 53

80 -6y + 3y = 53

80 - 3y = 53

-3y = 53 - 80

-3y = -27 (divide both sides by -3)

y = 9

This means that the cost per child is $9

Now solve for x

x = 40 - 3y

x = 40 - 3 (9)

x = 40 - 27

x = 13

Cost per parent is $13.

Answer:

It's $7

Step-by-step explanation:

7+7+7= 21 and add two $16 tickets and that's $53

Please help me with math homework 1): a deep sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?

2): if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?

3): Josie has $47 left on her checking account. If she writes a check for $55 what will Josie's balance be?

4): joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he will lose 10 times the number that comes up. He tosses a 3 express the results as an integer.

5): it will be -12 tonight. The weatherman predicts it will be 25 warmer by noon tomorrow. What will the temperature be by noon tomorrow?


6): the average temperature at the South Pole is -45 f. The average temperature on the equator is 92 f. How much warmer is the average temperature on the equator than at the South Pole?


7): Felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 c. What was the temperature of the coldest day on record in Felix's town?


8): the elevation of mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between mt. Everest and the Dead Sea?

Answers

Question 1:

The diver speed is 25 feet for every one minute
So for 10 minutes, the diver would have been dived 25 × 10 = 250 feet
If the diver now is 200 feet below sea level, this means 10 minutes ago, the driver was 200 - 250 = -50 feet below sea level. The negative means the diver, in reality, wasn't below the sea level. The diver was 50 feet above the sea level.

Question 2:

The temperature after it drops 17° from 5° is 5 - 17 = -12°

Question 3:

Josie is spending more than what she has in the bank account, she will end up with an overdraft of 47 - 55 = -$8 

Question 4:

'3' is an odd number, so Joe will lose 10 scores from his scores before tossing the '3'. The integer to describe this is -10 ⇒ (minus 10)

Question 5:

-12° + 25° = 13°

Question 6:

-45° + 92° = 47°

Question 7: 

Five times colder than -4° = 5 × (-4) = -20°

Question 8:

The distance = 29028 - (-485) = 29028 + 485 = 29513 feet

These are 8 questions and 8 answers.

Question 1) a deep sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?

Answer: 450 feet below see level ( -450 feet)

Explanation:

i) pulling up rate: 25 feet / minute

ii) number of feet ascended

iii) number of feet ascended in 10 minutes: 25 feet / minute × 10 minutes = 250 feet

iv) current deep: - 200 feet

v) deep 10 minutes ago: -200 feet - 250 feet = - 450 feet. Which means 450 feet below sea level.

Question2) if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?

Answer: - 12 (12 below zero)

Explanation:

i) Future temperaure = current temperature - decrease in temperature

ii) Future temperature = 5 - 17 = - 12, which means 12 below zero

Question3) Josie has $47 left on her checking account. If she writes a check for $55 what will Josie's balance be?

Answer: - $ 8 (she will owe 8$)

i) Balance = current balance - new checks

ii) Balance = $ 47 - $ 55 = - $8 (she will owe $ 8)

Question 4) Joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he will lose 10 times the number that comes up. He tosses a 3 express the results as an integer.

Answer: he will lose 30.

Explanation:

i) 3 is odd

ii) 1Therefore, the result is that he will lose 10 times the number that comes up

⇒ Loss = 10 × 3 = 30

Question 5) it will be -12 tonight. The weatherman predicts it will be 25 warmer by noon tomorrow. What will the temperature be by noon tomorrow?

Answer: 13

Explanation:

i) Current temperature: - 12

ii) Change foreseen: + 25 (increase)

iii) Foreseen temperature = - 12 + 25 = 13

Question 6) the average temperature at the South Pole is -45 F. The average temperature on the equator is 92 F. How much warmer is the average temperature on the equator than at the South Pole?

Answer: 137 F

Explanation:

i) Temperature at the South Pole = - 45F

ii) Temperature on the Equator = 92 F

iii) Difference in temperature = temperature on the Equator - temperature and the South Pole

iv) Difference in temperature = 92F - (-45F) = 92F + 45F = 137F

Remember the law of signs: ( - ) × ( - ) = +

It is 137F warmer on the Equator than at the South Pole.

Question 7) Felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 c. What was the temperature of the coldest day on record in Felix's town?

Answer: - 20C

Explanation:

i) Yesterday's temperature = - 4°C

ii) Coldest day's temperature = 5 × (-4C) = - 20C

Conclusion: the coldest day's temperature is -20°.

Question 8) the elevation of mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between mt. Everest and the Dead Sea?

Answer: 29,513 feet

Explanation:

i) Elevation of Mt Everest = 29,028 feet

ii) Elevation of the Dead Sea = - 485 feet

iii) Difference in the elevation = Elevation of Mt Everest - elevation of the Dead Sea

iv) Difference in the elevation = 29,028 feet - ( - 485 feet) = 29,028 feet + 485 feet = 29,513 feet.

Remember the law of the signs: ( - ) × ( - ) = +