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Pepsi [2]
3 years ago
9

Ali wants to buy a piano. The piano measures 19/4 ft long. She has a space 5ft long for the piano in her house. Does she have en

ough room?
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
6 0
19/4 = 4 3/4 ft which is less than 5ft
Yes she has room
kvasek [131]3 years ago
3 0
First, think about what you know.

The problem is giving you feet for both of the numbers, which is good for you on your part considering you have no measurements to convert.

You also know that you have 5 feet of space in your house to possibly hold a piano. If a piano is larger than five feet, you won't have enough room.

You also know that you can find out if a number is bigger by getting the number out of improper fraction form.

So, to solve this problem, remove the improper fraction. Change 19/4 into 4 3/4, instead. If unsure how to get out of improper fraction format, simply see how many times you can get four into 19. That would be your whole number. Then, let the left over number go over your original denominator. 

Four goes into nineteen 4 times. 4 x 4 is 16 and the leftover amount until 19 would be 3. ( 19 - 16 ) So, place 3/4 and you have 4 and 3/4.

- you could also turn into a decimal to solve instead -

Now, you realize that the piano is 4 3/4 ft long and you have 5 feet of space. The piano is smaller than your house space, and therefore, Ali does have enough room. 
You might be interested in
When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. D
NeTakaya
<h3>Answer:   7x - 5</h3>

============================================

Explanation:

We're dividing some unknown polynomial P(x) over (x+2) to get a quotient Q1(x) and remainder -19. That must mean

P(x)/(x+2) = Q1(x) - 19/(x+2)

P(x) = Q1(x)*(x+2) - 19

Note that plugging in x = -2 leads to P(-2) = -19. This is an example of the remainder theorem.  

Similarly,

P(x) = Q2(x)*(x-1) + 2

since dividing by (x-1) leads to a remainder of 2. We have P(1) = 2.

We'll use P(-2) = -19 and P(1) = 2 in the later sections below.

----------------

We want to find the value of r such that

P(x) = Q3*(x+2)(x-1) + r

Let's say that r = ax+b

Meaning we now have

P(x) = Q3*(x+2)(x-1) + r

P(x) = Q3*(x+2)(x-1) + ax+b

The goal from here is to find 'a' and b so we can get the remainder ax+b.

----------------

Plug in x = -2 and solve for b.

P(x) = Q3*(x+2)(x-1) + ax+b

P(-2) = Q3*(-2+2)(-2-1) + a(-2)+b

-19 = Q3*(0)(-3)-2a+b

-19 = -2a+b

b = 2a-19

----------------

Plug in x = 1 to get...

P(x) = Q3*(x+2)(x-1) + ax+b

P(1) = Q3*(1+2)(1-1) + a(1)+b

P(1) = a+b

2 = a+b

a+b = 2

a+(2a-19) = 2 .... plug in b = 2a-19

3a-19 = 2

3a = 19+2

3a = 21

a = 21/3

a = 7

Use that value to find b

b = 2a-19

b = 2(7)-19

b = 14-19

b = -5

----------------

We found that a = 7 and b = -5.

The remainder ax+b updates to the final answer 7x-5

6 0
3 years ago
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PIT_PIT [208]

the answer is m<6=80

5 0
2 years ago
If the actual distance between two cities is 52 kilometers (km), then the distance on the map would be ? cm
lys-0071 [83]
Your answer in cm would be 5,200,000.
As 1km=100,000 cm
3 0
2 years ago
What is the chance of making 5 free throws in a row with a 50% free throw percentage
ANTONII [103]
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8 0
3 years ago
Read 2 more answers
Triangle CDE is an isosceles triangle with angle d congruent to angle E if CD= 4x+9, DE= 7x-5, CE= 16x-27, find x and the measur
Montano1993 [528]
ANSWER

x = 3
CD= 21 \: units
DE= 16 \: units

CE= 21 \: units



EXPLANATION

It was given that ∆CDE is an isosceles triangle.

The length of the sides are given in terms of x as follows.

CD=4x+9


DE=7x-5


CE=16x-27



It was also given that, angle D is congruent to angle E.


This implies that, side CD and CE are equal.


Thus,

|CD|  =  |CE|
In terms of x, we have;

4x + 9 = 16x - 27


We group like terms to get,

16x - 4x = 9 + 27

12x = 36

Divide both sides by 12 to get,

x =  \frac{36}{12}

\therefore \: x = 3


The length of the sides are;

CD=4(3)+9 = 21 \: units

DE=7(3)-5 = 16 \: units


CE=16(3)-27 = 21 \: units
3 0
3 years ago
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