The piano measures 19/4 feet long does it fit in a 5 foot long space?

Answers

Answer 1
Answer:

Answer:

Piano fits in the given space.

Step-by-step explanation:

Given: Length of Piano = (19)/(4)\,feet

           Length of Space 5 foot

To find: If piano fits in the space or not

Piano fits in the space if its length is less than length of space .i.e., 5 foot

length of piano = (19)/(4) feet

feet is just plural of foot

So, conversion of unit not needed

Length of piano is improper fraction ( fraction whose numerator is gretaer than denominator ) So, it ca be expressed in mixed fraction.

\implies(19)/(4)=4(3)/(4)

This shows that Piano's length is more than 4 but less than 5.

Therefore, Piano fits in the given space.

Answer 2
Answer: Yes it would because 19/4 simplified is 4 3/4 which is less than 5 feet so it woudl fit

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a radio station requires DJs to play 2 commercials for every 10 songs tgey play.what is the unit rate o songs to commercial?

Answers

5 songs (for every 1 commercial)

Events A and B are mutually exclusive, with P(A) = 0.65 and P(B) = 0.14. What is P(A or B)?







A.
0.091





B.
0.215





C.
0.51





D.
0.79

Answers

Answer: 0.79, D

Work:
The value of the probability of (A or B) when A and B are mutually exclusive is equal to P(A) + P(B). There is no need to subtract the P(A and B) because the events are mutually exclusive which means that they never overlap and P(A and B) is therefore equal to 0. The answer is then 0.65 + 0.14 which equals 0.79, which is the answer.

john invested $2000 that earn interest at 4% per annum compounded monthly. two year later the interest rate is 4.50% compounded quaterly. determine the accumulated value of investment two year after the change

Answers

Answer:

\$2,369.11  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+(r)/(n))^(nt)  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

Part 1)

t=2\ years\n P=\$2,000\n r=0.04\nn=12  

substitute in the formula above

A=2,000(1+(0.04)/(12))^(12*2)  

A=2,000(1.0033)^(24)  

A=\$2,166.29  

Part 2)

t=2\ years\n P=\$2,166.29\n r=0.045\nn=4  

substitute in the formula above

A=2,166.29(1+(0.045)/(4))^(4*2)  

A=2,166.29(1.01125)^(8)  

A=\$2,369.11  

Which of the following expressions is a factor of the trinomial x^3 - x^2 - 6x l. x II. x - 3
III. x + 2

Answers

Answer:

Both

Step-by-step explanation:

First,let's resolve the expression into factors

x^3-x^2-6x

x(x^2-x-6)

x(x^2-3x+2x-6)

x(x(x-3)+2(x-3))

x(×+2)(x-3)

Therefore,both of them are the factors of the expression

X-3 is correct I don’t know how to explain much

Explain how you would find the sum 46+7

Answers


1. You would set them up:46+7

2. Next you would do 6+7 which equals 13

3. You would then bring down the 4

4. And last you get the answer:53

Hope this helped you!

6 and 7 is 13 so you would re-group 1 and leave the 3 and 4+1 is 5 so that would be 53

42 is 87.5% of what number

Answers

Answer:48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

42 = 87.5% x Y

42 =   87.5 x Y

          100

Multiplying both sides by 100 and dividing both sides of the equation by 87.5 we will arrive at:

Y = 3 x

100

87.5

Y= 48