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Nastasia [14]
3 years ago
10

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? Show on a number line
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

19/4 =4 reminder 3

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A polynomial has a leading coefficient of 1 and the
Hoochie [10]

Answer:

(A)[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]

Step-by-step explanation:

A polynomial has a leading coefficient of 1 and the  following factors with multiplicity 1:

x-(2+i)\\x-\sqrt{2}

We apply the following to find the factored form of the polynomial.

  • If a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial.
  • If the polynomial has an irrational root a+\sqrt{b}, where a and b are rational and b is not a perfect square, then it has also a conjugate root a-\sqrt{b}.

\text{Complex conjugate of }x-(2+i)=x-(2-i)\\\\\text{Complex conjugate of }x-\sqrt{2}=x+\sqrt{2}

Therefore, the factored form of the polynomial is:

[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]

7 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through (−2, −1) and is<br> perpendicular to 2y =3x−5.
marusya05 [52]

Answer:

y = 2/3x - 1

Step-by-step explanation:

Find the slope:

2y = 3x - 5

2/2y = 3/2x - 5/2

y = 3/2x - 5/2

Slope is 3/2

In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.

Perpendicular equation:

y = 2/3x + b

b is going to be equal to the y intercept of the point they gave us, so -1.

Answer: y = 2/3x - 1

8 0
3 years ago
The manager of a theater noted that for every 10 admission tickets sold, the theater sells 3 bags of popcorn at $2.25 each, 4 so
Shalnov [3]

Answer:

$1.475 is the average amount of snack sales per ticket sold.

Step-by-step explanation:

We are given the following in the question:

Number of popcorn bags sold = 3

Cost of  a popcorn bag = $2.25

Total cost of popcorn bag = 2.25\times 3 = $6.75

Number of soda sold = 4

Cost of  a soda = $1.50

Total cost of soda = 1.50\times 4 = $6.00

Number of candy bars sold = 2

Cost of  a candy bar = $1.00

Total cost of candy bars =  1.00\times 2 = $2.00

Total sales =

Total cost of popcorn + Total cost of soda + Total cost of candy bar

= 6.75 + 6 + 2\\=\$14.75

\text{Average} = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Average amount of snack sales per ticket sold =

\dfrac{\text{Total sales}}{\text{Number of tickets}} = \dfrac{14.75}{10} = 1.475

Thus, $1.475 is the average amount of snack sales per ticket sold.

5 0
3 years ago
A deposit of 100 dollars is represented as?
arsen [322]

Answer:

represents the use of money as a ... savings deposits and small time deposits of less than $100,000.

Step-by-step explanation:

3 0
3 years ago
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The back-up generators at the local clinic use 25 gallons of oil in 3 hours and 45 minutes. At this rate, how much oil would the
sveticcg [70]
<span>The word problem gives a rate of oil consumption at a rate of 25 gallons per 3 hours and 45 minutes. 3 hours and 45 minutes can be displayed as 3.75 hours. so you can say the generator consumes oil at a rate of 25 gallons per 3.75 hours. The following equation give you the oil consumption on a per hour basis; 25/3.75 and that gives you 6.67 gallons per hour. In 6 hours the generator will consume 40 gallons.</span>
4 0
3 years ago
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