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2 months ago

Guest #3087

2 months ago

If she adds two pennies, she can only arrange the pennies in a straight line.

A straight line is one penny wide. If she adds two pennies she ends up with a prime number of pennies.

Since she has between 40 and 50 pennies, she can have 41, 42, 43, 44, 45, 46, 47 ,48, or 49 pennies.

41 + 2 = 43 prime

42 + 2 = 44 not prime

43 + 2 = 45 not prime

44 + 2 = 46 not prime

45 + 2 = 47 prime

46 + 2 = 48 not prime

47 + 2 = 49 not prime

48 + 2 = 50 not prime

49 + 2 = 51 not prime

Only 43 and 47 are prime.

That means she has 41 or 45 pennies.

41 is prime, so it cannot be arranged in any other way than a straight line 1 by 41.

Let's look at 45.

45 = 3 * 3 * 5

45 = 9 * 5 = 3 * 15 = 45 * 1

She has 45 pennies.

A straight line is one penny wide. If she adds two pennies she ends up with a prime number of pennies.

Since she has between 40 and 50 pennies, she can have 41, 42, 43, 44, 45, 46, 47 ,48, or 49 pennies.

41 + 2 = 43 prime

42 + 2 = 44 not prime

43 + 2 = 45 not prime

44 + 2 = 46 not prime

45 + 2 = 47 prime

46 + 2 = 48 not prime

47 + 2 = 49 not prime

48 + 2 = 50 not prime

49 + 2 = 51 not prime

Only 43 and 47 are prime.

That means she has 41 or 45 pennies.

41 is prime, so it cannot be arranged in any other way than a straight line 1 by 41.

Let's look at 45.

45 = 3 * 3 * 5

45 = 9 * 5 = 3 * 15 = 45 * 1

She has 45 pennies.

Guest #3088

2 months ago

**Answer:**

.

**Step-by-step explanation:**

Question

What are the odds of picking an “s” in the word “footloose”?

Solution 1

1/9 of a chance to pick s

Question

A cone with radius 2 feet and height 8 feet is shown.

Solution 1

The correct question is

What is the volume of a cone (in cubic feet) with a radius of 2 feet and a height of 8 feet?

Use 3.14 for π. Round your answer to the nearest hundredth

we know that

volume of a cone=(1/3)*pi*r²*h

r=2 ft

h=8 ft

volume of a cone=(1/3)*pi*2²*8-----> 33.49 ft³

**the answer is**

**33.49 ft³**

What is the volume of a cone (in cubic feet) with a radius of 2 feet and a height of 8 feet?

Use 3.14 for π. Round your answer to the nearest hundredth

we know that

volume of a cone=(1/3)*pi*r²*h

r=2 ft

h=8 ft

volume of a cone=(1/3)*pi*2²*8-----> 33.49 ft³

Question

ralph is a electrician he charges an initial fee of 24$ , plus 24 per hour. If ralph earned 144$ on the job , how long did the job take.

Solution 1

It took him 5 hours

Solution 2

He worked five hours

Question

ANNA AND ALICE SHARE A RECTANGLE BEDROOM THAT IS 18 FEET LONG AND 14 FEET WIDE. THEY SPLIT THE ROOM INTO TWO HALVES BY PLACING A PIECE OF TAPE FROM THE NORTHWEST CORNWR OF THE ROOM TO THE SOUTHEAST CORNWR OF THE ROOM. WHT IS THE AREA OF EACH GIRLS HALF OF THE ROOM

Solution 1

First, you have to find the area of the WHOLE bedroom.

Equation: 18 × 14 = 252.

The total area of the bedroom is 252^2 feet.

Finally, divide.

252 ÷ 2 = 126.

The area of each of the sections is 126.

**Please mark me as brainliest. I really need it.**

Equation: 18 × 14 = 252.

The total area of the bedroom is 252^2 feet.

Finally, divide.

252 ÷ 2 = 126.

The area of each of the sections is 126.

Question

the original value of an investment is $1,800. if the value has increased by 7% each year, write an exponential to model the situation. then, find the value of the investment after 15 years

Solution 1

For this case we have an equation of the form:

y = A (b) ^ t

Where,

A: initial amount

b: growth rate

t: time

Substituting values we have:

y = 1800 * (1.07) ^ t

For 15 years we have:

y = 1800 * (1.07) ^ 15

y = 4966.256773 $

**Answer:**

**An exponential to model of the situation is:**

**y = 1800 * (1.07) ^ t**

**the value of the investment after 15 years is:**

**y = 4966.256773 $**

y = A (b) ^ t

Where,

A: initial amount

b: growth rate

t: time

Substituting values we have:

y = 1800 * (1.07) ^ t

For 15 years we have:

y = 1800 * (1.07) ^ 15

y = 4966.256773 $

Question

Solve the equation <(a-5)-5=3

Solution 1

The first step for solving the equation (a - 5) - 5 = 3 is to remove the parenthesis.

a - 5 - 5 = 3

Calculate the difference between -5 and 5.

a - 10 = 3

Now move the constant to the right side of the equation and change its sign.

a = 3 + 10

Add the numbers on the right side together to get your final answer.

a = 13

Let me know if you have any further questions.

:)

a - 5 - 5 = 3

Calculate the difference between -5 and 5.

a - 10 = 3

Now move the constant to the right side of the equation and change its sign.

a = 3 + 10

Add the numbers on the right side together to get your final answer.

a = 13

Let me know if you have any further questions.

:)

Question

Centennial park is evaluating the capacity of the park and have determined that 15 people can comfortably stand in a section that is 5ft by 8ft , the park has dimensions that are 400yds by 200 yds estimate the number of people who can fit in the park

Solution 1

We have been given that 15 people can comfortably stand in a section that is 5ft by 8ft .

Hence, the area of this section is given by

Hence, we can say that 15 people can comfortably stand in an area 40 square feet.

Now, we know that 1 yard is equal to 3 feet.

Hence, the area of the section 400yds by 200 yds is equal to

Now, in 40ft^2, 15 people can stand comfortably.

Hence, in 720000 ft^2, number of people can stand comfortably is

**Therefore, 270000 people can stand in the park of dimension 400 yds by 200 yds**

Solution 2

If you multiply all those numbers you will get 5.76e9 yds

Question

Which expression is not equivalent to the following expression? 15 - 3 + 15 - 3 - 3 + 15
A. 3(15 - 3)
B. 3(15)
C. 3(15 + 3)
D. 3(12)

Solution 1

In the above problem: it appears that the original expression is equal to 36.

A. 3(15-3) = 3(12)=36

B. 3(15) = 45

C. 3(15+3) = 3(18)=54

D. 3(12) = 36

So it looks like choices A and D are equivalent to the original expression.

A. 3(15-3) = 3(12)=36

B. 3(15) = 45

C. 3(15+3) = 3(18)=54

D. 3(12) = 36

So it looks like choices A and D are equivalent to the original expression.

Solution 2

**Answer: D**

**Step-by-step explanation:**

Question

Anna and Alice share a rectangle bedroom that is 18 feet long and 14 feet wide. they split the room into two halves by placing a piece of tape from the northwest corner of the room to the southeast corner of the room. what is the area of each girls half of the room?

Solution 1

The area of the whole room = 14 × 18 = 252

Since they divide it by half, divide the are by 2.

252 ÷ 2 = 126

**Answer = 126 ft²**

Hope this helped☺☺

Since they divide it by half, divide the are by 2.

252 ÷ 2 = 126

Solution 2

126 is the area of one hafe of the room

Question

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 meters. One penguin swims half way around the island before hopping out. How far did the penguin swim?

Solution 1

**Answer:**

10pi

**Step-by-step explanation:**

The answer is 10pi

Solution 2

The penguin swam 10 meters

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