During a certain calendar year there were three months in a row so that each month had exactly 4 Saturdays. Find all possible choices for three consecutive months in which this can happen. ( make sure you justify why you have found all the possibilities. )

Answers

Answer 1

February 2017 is the calendar year that there were three months in a row that each month had exactly 4 Saturdays. Apparently this has been the first time that this has happened in 823 years and this is because each day of the falls four times in February every 6 years. This is due to happen again in February of 2023 and we do not have to wait another 823 years.

Related Questions

Laura decides to walk to her job. She walks 1 1/2 miles in 3/5 hour. What is Laura’s walking rate?

Answers

Okay. So, to find the walking rate, we must do 1 1/2 / 3/5. The rule of dividing fractions is keep, Change, flip. 3/2 * 5/3 is 15/6 or 2 1/2 in simplest form. Laura’s walking rate is 2 1/2 miles an hour.

Final answer:

Laura's walking rate is calculated by dividing the distance she walked, 1.5 miles, by the time it took, 0.6 hour. Her walking rate is 2.5 miles per hour.

Explanation:

Laura's walking rate can be calculated by dividing the distance she walked by the time it took. Laura walked 1 1/2 miles in 3/5 hour. To find her rate, we will convert 1 1/2 miles to a decimal, which is 1.5 miles, and we convert 3/5 of an hour to minutes or hours in decimal form. Since 3/5 of an hour is the same as 36 minutes (because 60 minutes * 3/5 = 36), we can calculate Laura's walking rate.

To find the rate, we use the formula:

Rate = Distance ÷ Time

So Laura's walking rate is:

Rate = 1.5 miles ÷ 0.6 hour

Rate = 2.5 miles per hour (since 1.5 ÷ 0.6 = 2.5)

Therefore, Laura walks at a rate of 2.5 miles per hour.

How to turn 17/20 into percent

Answers

17/20

multiply top and bottom by 5 ( need to be over 100)

17 x 5 = 85
20 x 5 = 100

85/100 = 0.85

0.85 = 85%

85% is your answer

hope this helps

multiply both denominator and numerator by 5.
20*5=100
17*5=85
then, put the product of the numerator and 5 over the product of the product of the denominator and 5.
85/100.
So, 17/20 as a percent is 85%

Madelynne hopped 12 times in 15 seconds what is her hops per minute

Answers

[tex] \frac{12 hops}{15 sec} x \frac{60 sec}{1 min}= \frac{720}{15 min} [/tex]

Your answer would be 720 hops per 15 minutes, which would simplify to be 48 hops per minute

Hope this helps!

15 mins is 1/4 of a minute so 12 Times 4 witch is 48

Find the y-intercept of the line:

9x + 3y = -18

Question 7 options:

(0,-6)

(0,6)

(-2,0)

(3,9)

Answers

(0,-6)
I'm not 100% sure!
Hope I could help!

Answer: (0,-6)

Step-by-step explanation:

C when they brought their baseball cards, Ethan’s card worth $4 more than Maysa’s card
D when they brought their baseball cards,Ethan card was worth $5 more than Maysa’s card

Answers

A is the answer because $5 is the amount when Maysa started out, and $1 is the amount when Ethan started out. So A is the answer.

Answer:

A is the answer because $5 is the amount when Maysa started out, and $1 is the amount when Ethan started out. So it is A .

Step-by-step explanation:

Katie is drawing dots on cards to show ways to make 5. Draw dots for Katie. Write addition sentences for two of the cards.

Answers

(Dot) (Dot) (Dot) (Dot) (Dot) (Dot) (Dot)
(Dot)
(Dot) (Dot) 1 + 4

2 + 3

Hello There!

Dot Dot Dot Dot
Dot
4 + 1 = 5
Dot Dot Dot
Dot Dot
3 + 2 = 5.

Hope This Helps You!
Good Luck :)

- Hannah ❤

a pizza with a diameter of 8 inches cost $10 a pizza with a diameter of 14 inches costs $16 whitch is the better buy explain you thinking

Answers

The 14-inch diameter pizza, because you're getting approximately 10 square inches of pizza per dollar. For the 8-inch pizza, you only get around 5 per dollar.

Final answer:

To find the better buy between the two pizzas, we calculate the cost per square inch for each. After determining the area of each pizza, the calculations show that the 14-inch pizza offers the better value at $0.104 per square inch, compared to the 8-inch pizza's $0.199 per square inch.

Explanation:

To determine which pizza offers the better buy, we need to calculate the price per square inch of each pizza. First, we find the area of each pizza using the formula for the area of a circle, A = πr^2, where r is the radius (half the diameter).

For the 8-inch pizza: radius = 4 inches. So, A = 3.14 × (4)^2 = 50.24 square inches.

For the 14-inch pizza: radius = 7 inches. So, A = 3.14 × (7)^2 = 153.86 square inches.

Next, we calculate the cost per square inch:

8-inch pizza: $10 / 50.24 square inches = $0.199 per square inch.

14-inch pizza: $16 / 153.86 square inches = $0.104 per square inch.

Therefore, the 14-inch pizza offers the better value at approximately $0.104 per square inch, as opposed to the 8-inch pizza's $0.199 per square inch.

A seal dove 95 meters below the surface of the water to reach a fish. It traveled 18% of the total distance every second. What was the depth of the seal after 5 seconds? (1 point)

Answers

95 ÷ 18% = 17.1
17.1 × 5 = 85.5
Therefor, your answer is 85.5 meters.
Hope is helps :)

Answer:

Depth of seal in 5 seconds = 85.5 meters

Step-by-step explanation:

Distance between a seal and fish = 95 meters below the surface of the water

It traveled 18% of the total distance every second so distance covered in one second = 18% of 95

= 95×0.18

= 17.10 meters

And distance covered in 5 seconds will be = 17.10 × 5 = 85.50 meters

Therefore, depth of the seal in 5 seconds will be 85.5 meters

I don’t understand number 4

Answers

1.75
2.15
3.105
4.90
these are the answers

Angle 2 would also be 75 degrees.
75+75 = 150
150 + 90 = 240
240 + 75 = 316
360 - 316 = 44

Angle 1 = 75 degrees.
Angle 2 = 75 degrees Angle 3 = 150 Angle 4 = 90

Cayley says that the equations p=1.5q and 2/3p q both represent the same proportional relationship. Mariah says that can't be true because the constants of proportionality are different. With which student do you agree? Explain.

Answers

Let's rewrite the second equation.
[tex] \frac{2}{3} p=q[/tex]
Multiplying both sides by [tex] \frac{3}{2} [/tex] gives us
[tex] \frac{3}{2} \cdot \frac{2}{3}p= \frac{3}{2}q\\ p= \frac{3}{2}q [/tex]

So the second equation is equivalent to the first equation. That means both equations represent the same proportional relationship. Cayley was correct.

Answer:

cayley

Step-by-step explanation:

cuz i said so djsndkwndmdksnsnsnsnsnsns

Allison makes 3 groups of 10 muffins she also makes 7 more muffins how many muffins does she make in all

Answers

she has 37 muffins
(3x10)+7
30+7
37

She has 37 muffins because (3 times 10)+7 30+7 37

A cow can eat 25 pounds of hay a day. At that rate, how many pounds of hay can a cow eat in 31 days?

Answers

25 pounds a day

31 days

31 x 25 = x (amount of pounds of hay a cow eats in 31 days)

x = 775 pounds
(this is if the the cow eats 25 pounds each day without changing the number)

hope this helps

Hello There!

Amount per day x number of days
25 x 31 = 775.
A cow can eat 775 pounds of hay in 31 days.

Hope This Helps You!
Good Luck :)

- Hannah ❤

Simplify. Remember to write the powers as a positive number.

1. a^−8
2. 1/a^−4
3. a^−2*b^5
4. a^−2*b^−7*c^−8
5. a^2*b^−7*c^−8
6. a^−2*b^7*c^−8
7. a^−2*b^−7*c^8
please answer asap! good points!

Answers

1. 1/a^8 (Sorry I can't find out what the others are)

when a number is a multiple of 5 what are the possible values for one digit

Answers

5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100 etc.

Based on your knowledge of how the greenhouse effect works, why does the level of carbon dioxide affect the global temperature?

Answers

carbon dioxide acts as a blanket on the atmosphere, trapping the sun's heat energy on the earth instead of allowing it to leave the atmosphere and escape into space. the more carbon dioxide, the thicker the blanket

Without multiplying, determine the sign of the product (356,864)(−194,758).
The sign of the product is positive because a positive multiplied by a negative is a positive.
The sign of the product is negative because a positive multiplied by a negative is a negative.
The sign of the product is negative because the second number is negative.
The sign of the product is positive because the first number is positive.

Answers

B. The sign of the product is negative because a positive mutiplied by a negative is a negative

Answer:

The correct option is 2.

Step-by-step explanation:

The given expression is

(356,864)(−194,758)

We need to find the sign of the product (356,864)(−194,758) without multiplying.

Sign of two numbers Sign of product

( + ) ( + ) ( + )

( - ) ( + ) ( - )

( + ) ( - ) ( - )

( - ) ( - ) ( + )

In the given expression first terms is positive and second term is negative.

The sign of the product is negative because a positive multiplied by a negative is a negative.

Therefore the correct option is 2.

Abby is half as old as her dad,and twice as old as her brother. If her brother is 9 years old,how old is her dad?

This Is 10 Points

Answers

well if Abby is twice the age of her bother and her brother is 9 then she is going to be 18 because 9x2=18, then it says that she is half her dads age so all you have to do is add 18+18 which equals 36

If Abby is 2x the age of her brother and he is nine that would make her 18

Find the ratio of snails to the total number of animals. Then explain it's meaning

The numbers you need to know: 18 to 52

Answers

I think the answer is 1:2.8 this means there is one snail to every three animals

Answer:

Step-by-step explanation it is 18/53

which equation shows y +1/5=3x in standard form A.15x+5y=-1 B.15x-5y=1 C.5x-15y=1 D.15x-5y=-1

Answers

y + 1/5 = 3x...subtract y from both sides
3x - y = 1/5...multiply by 5
15x - 5y = 1 <==

y +1/5=3x
5y + 1 = 15x
15x - 15y = 1 <------------standard form

answer
B.15x-5y=1

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Answers

let Kim's sisters age be x
then Kim's age= 2x
so when adding both ages you get 36
2x+x=36 i. e 3x=36 (x rep Kim's sisters age)

so x=36/3 = 12
kim sister's age is 12 years
while kim is 2×12= 24years

So because Kim's age is twice the age of her sister an appropriate ratio could be
Kim : Sister 2 : 1
So because you know thier ages are combined to 36 you could divide 36 by 3 which is 12 then you would need to double it for Kim.
So their ages are
Kim- 24
sister- 12

Please help me with math please, they are number lines.

Answers

It should be the first graph.

C because the circle is not filled in

Macon eats 33 animal crackers as a snack every day after school. How many animal crackers does she eat during a 5 day school week

Answers

33x5=165 Macon eats 165 animal crackers after school

She eats 165 animal crackers

Which is NOT equivalent to 64? A) 26 B) (24 )(4) C) (23 )(42 ) D) 43

Answers

only B is equivalent to 64

26 ≠ 64
24 x 4 is 64 = 64
23 x 42 is 966≠ 64
43≠64

hope this helps

Answer:

Look at a factoring tree of 64 and see which does not work:

64 = (8)(8) = (4)(2)(4)(2) = (2)(2)(2)(2)(2)(2)

Therefore the only option which is not true is

23 × 42

Step-by-step explanation:

What is the answer to 46.25 divide by 5 - 2

Answers

First, we divide 46.25 by 5 which is 9.25. Subtract 2 from 9.25 and you have 7.25

If it's 46.25 ÷ (5-2), then the answer is 15.42

If it's (46.25 ÷ 5) - 2, then the answer is 7.25

A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502 customers a day. About how many customers does the local shop serve in a day

Answers

Answer:

116

Step-by-step explanation:

502/9*2

About 57.8*2

115.6

Round up to 116

The local shop serves about 116 customers a day.

Answer:

The correct answer should and is 116.

What is the value of n in the equation (n – 4) – 3 = 3 – (2n + 3)?

Answers

n - 4 - 3 = 3 - 2n - 3
n - 4 = 3 - 2n
n = 3 - 2n + 4
n = -2n + 7
n + 2n = 7
3n = 7
n = 7/3

The answer is in bold

(n - 4) - 3 = 3 - (2n + 3)

Let's first start by removing the parenthesis.
(n-4) = +(n-4) so we just remove the parenthesis without changing the signs. So the first part of the equation will be n - 4 - 3.

Before (2n+3), we can notice a minus sign (-) which means that to remove the parenthesis, we need to change the signs of the numbers and variables inside.
-(2n+3) = -2n-3
So the second part of the equation becomes 3 -2n - 3

(n-4) - 3 = 3 - (2n+3)
n - 4 - 3 = 3 - 2n - 3
n - 7 = -2n

Now we need to put the variables apart and the constants apart. So we subtract n from each side:
n - n - 7 = -2n - n
-7 = -3n

Divide both sides by -3
(-7)/(-3) = (-3n)/-3
7/3 = n

In the equation (n-4) - 3 = 3-(2n+3), the value of n is n=7/3

Hope this helps! :)

Someone came into a store and stole 100 dollars from the register. The person returned 5 minutes later and purchased 70 dollars in merchandise with the same 100 dollars he stole I gave him 30 dollars change. How much money did the store loose.

Answers

Think of it this way. Ignore for now that $100 was stolen.

The purchase of the $70 item for $100 cash with $30 change is a perfectly fair purchase. The store received $100 cash, and the store gave $70 worth of merchandise plus $30 cash.There was no loss to the store there.

The fact that $100 in cash was stolen earlier from cash register means the loss is $100. The legitimate transaction does not affect the loss.

If you have a hard time understanding the loss is $100, then think of it this way.
Reverse the order of the two happenings.

A person walked into a store and bought a $70 item with a $100 bill. He received $30 change. So far, there is no loss to the store. Everything is legit.

That customer later came back to the store and stole $100 from the cash register.

Here we see clearly that the loss is exactly $100. It is simply the $100 stolen from the cash register.

425,. ,339 what is in between

Answers

255 is the answer to this question

What are three equal ratios to 5/40

Answers

5/40:

1/8

10/80

15/120

hope this helps

20 POINTS - PLEASE HELP
Are these irrational or rational? (picture below)

Answers

They are all rational except √(2/24)

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