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Zielflug [23.3K]
4 years ago
5

Camryn practices the trumpet every 11th day and the flute every 3rd day. Camryn practiced both the trumpet and the flute today.

How many days until Camryn practices the trumpet and flute again in the same day?
Mathematics
1 answer:
QveST [7]4 years ago
4 0

Answer: 33 days.


Step-by-step explanation:

Given :- Camryn practices the trumpet every 11th day and the flute every 3rd day.

Camryn practiced both the trumpet and the flute today.  

To find the number of days until Camryn practices the trumpet and flute again in the same day, we need to find the least common multiple (L.C.M.) of 11 and 3.

As they both are co-prime numbers thus its L.C.M.= 11×3=33

Therefore, Camryn practices the trumpet and flute again in the same day after 33 days.

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Write a pair of equivalent expressions using distributive property
bulgar [2K]
The distributive property "distributes" a number through all numbers/terms in a set of parentheses by multiplication.


EXAMPLES
Equivalent expressions are the first and last steps. The middle step just shows the work.

5(2 + 3x)= (5*2) + (5*3x)= 7 + 15x

4(2x + 4y)= (4*2x) + (4*4y)= 8x + 16y

10(4x + 5)= (10*4x) + (10*5)= 40x + 50


ANSWER:
Only one pair below is needed for your answer.

5(2 + 3x)= 7 + 15x

4(2x + 4y)= 8x + 16y

10(4x + 5)= 40x + 50


Hope this helps! :)

7 0
3 years ago
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Liula [17]

Answer:

Adult required in the case of “a” 28 and in the case of “b” the adult requirement is 19.

Step-by-step explanation:

(a) The percentage of adult that support the change is 20 percent.

Now calculate the number of adult required.

Given p = 0.20

Use the below condition:

np(1 – p) \geq 10 \\n \times 0.20 (1 – 0.20) = 10 \\n = 63 round off

Since 35 adults are already there so required adults are 63 -35 = 28

(b) The percentage of adult that support the change is 25 percent.

Now calculate the number of adult required.

Given p = 0.25

Use the below condition:

np(1 – p) \geq 10 \\n \times 0.25 (1 – 0.25) = 10 \\n = 54 (round off)

Since 35 adults are already there so required adults are 54 -35 = 19 .

6 0
3 years ago
In ΔBCD, the measure of ∠D=90°, DC = 55, CB = 73, and BD = 48. What ratio represents the cosine of ∠C?
Vladimir [108]

Answer:

48/73

Step-by-step explanation:

cosine = adjacent/hypotenuse

= 48/73

8 0
3 years ago
Hannah is designing containers to hold 300 cm3 of juice. Which container is more efficient?
Lubov Fominskaja [6]

Answer:

a) 2nd container is more efficient and contains the elements for a container.

b) The cylinder has a........A)Smaller surface area B)bigger C)equal

And will cost.....A)Less to produce B)more C)The same

Step-by-step explanation:

a) The 2nd container has these elements:

Width 20.5cm

Length 6.5cm

side 3.25cm

So, the volume in cubic cm is 20.5 x 6.5 x 3.25 = 433cm3.

This container can hold the 300cm3 of juice.

b) A cylinder is a geometric solid common in everyday life.  Examples of a cylinder are soup cans, food tins, drink cans, candles, toilet paper rolls, cups, aerosol cans, flower vases, test tubes, fire extinguishers, plant containers, salt shakers and pencil holders.  The two ends are called bases, and are usually circular.  Though, they can take other shapes.  When a cylinder is unrolled and flattened out, the side is actually a rectangle.

The surface area of a cylinder is the surface area of each end plus the surface area of the side.  The mathematical formula is 2π * r2, where π is the pie and r is the radius of the end and r2 is r squared..

6 0
4 years ago
Two banks offer compound intereston your investment while you deposit with them. Bank A calculates compound interest annuallyand
sladkih [1.3K]

Answer:

Bank B because the more often you compound interest, the more interest you earn.

Step-by-step explanation:

Bank A compounds the interest once a year.

Bank B compounds the interest twice a year.

Let's create an example of two investments of the same amount of money, the same interest rate, and the same time. The only difference will be the number of times the interest is compounded per year.

Compound interest formula:

A = P(1 + \dfrac{r}{n})^{nt}

where

A = future value

P = principal invested

r = interest rate

t = number of years

n = number of times interested is compounded in 1 year

Example:

P = $1000

r = 5%

t = 5 years

Bank A: n = 1

Bank B: n = 2

Bank A:

A = $1000(1 + \dfrac{0.05}{1})^{1 \times 5} = $1276.28

Bank B:

A = $1000(1 + \dfrac{0.05}{2})^{2 \times 5} = $1280.08

Bank A's investment is worth $1276.28 after 5 years, but Bank B's investment is worth $1280.08 after the same 5 years. Compounding twice per year instead of only once per year earns more interest.

3 0
3 years ago
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