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Reil [10]
3 years ago
6

Simplify. y 5 · y 3 ÷ y 2

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
Y^5 x y^3 /y^2
y^8/y^2
y^4
You might be interested in
A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing e
Mars2501 [29]

Answer:

1.  The lawyer has 34 investors that contribute with $3,000 and has 26 investors that contribute with $6,000.

2. The jar has 26 nickels and 44 dimes that worth $5.70.

3. The concession stand has sold 1600 sodas and 1400 hotdogs

Step-by-step explanation:

For all the problems we are going to follow the same process that will consist on 1. Define the variables. 2. Formulate the system of two linear equations 3. Solve by the elimination method 4. Give the answer.

  • First problem.

- Variables:

x = number of investors that contribute with $3,000

y = number of investors that contribute with $6,000

- System of equations.

First equation will be the result of adding the number of investors that will give us a total of 60 investors then:

x + y = 60

Second equation is the result of multypling the number of investors by its invest and adding between them to get the $258,000 they have raised:

3,000x + 6,000y = 258,000

The system will be:

x + y = 60

3,000x + 6,000y = 258,000

- Solve by the elimination method.

To cancel x we are going to multiply by -3000 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

3,000x + 6,000y = 258,000

(x + y ) (-3,000) = 60 (-3,000) <em>   solve the multiplications </em>

3,000x + 6,000y = 258,000

<u>-3,000x - 3,000y = -180,000 </u><em>   solve the operations</em>

0 + 3,000y = 78,000     <em>clear y</em>

y = \frac{78,000}{3,000}    <em>solve the division</em>

y = 26

For calculate x, replace the y value in the first equation and solve it

x + 26 = 60

x = 60 - 26

x = 34

- Answer

The lawyer has 34 investors that contribute with $3,000 and has 26 investors that contribute with $6,000.

  • Second problem

- Variables:

x = number of nickels

y = number of dimes

- System of equations.

First equation will be the result of adding the number of nickels and dimes that will give us a total of 70 coins in the jar then:

x + y = 70

Second equation is the result of multypling the number of coins by its value and adding between them to get the $5.70 that the jar worth:

0.05x + 0.1 y = 5.70

The system will be:

x + y = 70

0.05x + 0.1 y = 5.70

- Solve by the elimination method.

To cancel x we are going to multiply by -0.05 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

0.05x + 0.1 y = 5.70

(x + y ) (-0.05) = 70 (-0.05) <em>   solve the multiplications </em>

0.05x + 0.1 y = 5.70

<u>-0.05x - 0.05y = -3.50 </u><em>   solve the operations</em>

0 + 0.05y = 2.20     <em>clear y</em>

y = \frac{2.20}{0.05}    <em>solve the division</em>

y = 44

For calculate x, replace the y value in the first equation and solve it

x + 44 = 70

x = 70 - 44

x = 26

- Answer

The jar has 26 nickels and 44 dimes that worth $5.70.

  • Third problem.

- Variables:

x = number of sodas sold by $2

y =  number of hotdogs sold by $3

- System of equations.

First equation will be the result of adding the number of sodas and hotdogs that is of 3000 then:

x + y = 3000

Second equation is the result of multypling the number of sodas and hotdogs by its price and adding between them to get the $7400 of the receipts:

2x + 3y = 7400

The system will be:

x + y = 3000

2x + 3y = 7400

- Solve by the elimination method.

To cancel x we are going to multiply by -2 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

2x + 3y = 7400

(x + y ) (-2) = 3000 (-2) <em>   solve the multiplications </em>

2x + 3y = 7400

<u>-2x - 2y = -6000 </u><em>   solve the operations</em>

0 + 1y = 1400     <em>clear y</em>

y = \frac{1400}{1}    <em>solve the division</em>

y = 1400

For calculate x, replace the y value in the first equation and solve it

x + 1400 = 3000

x = 3000 - 1400

x = 1600

- Answer

The concession stand has sold 1600 sodas and 1400 hotdogs

6 0
2 years ago
Todd has $124 in his checking account. He wrote two checks for $13.96 and $21.67 and transferred $14 into his checking from
dangina [55]

Answer: $74.37

Step-by-step explanation:

7 0
2 years ago
Write in standard form a polynomial function with zeros 2, -2, and 1 has a leading coefficient of 1
jarptica [38.1K]
1\cdot(x-2)(x+2)(x-1)=(x^2-4)(x-1)=x^3-x^2-4x+4
3 0
2 years ago
A triangle has one angle that measures 11 degrees, one angle that measures 47 degrees, and one angle that measures 122 degrees.
agasfer [191]

Answer:

  obtuse

Step-by-step explanation:

The largest angle is more than 90°, so the triangle is called an "obtuse" triangle.

Here are the classifications based on the measure of the largest angle:

  < 90° -- acute triangle

  = 90° -- right triangle

  > 90° -- obtuse triangle . . . . . like the one in this problem statement

8 0
2 years ago
A taxi ride cost $2 for the first 1/5 of a km and 40 cents for each additional fifth of a km. Dan has $9.60. What is the longest
Harlamova29_29 [7]

Answer:

4 kilometers

Step-by-step explanation:

<em>First! Let's create an equation, with our variable (x) representing the number of additional fifth kilometers Dan can afford. </em>

2 + 0.40x = 9.60

<em>Now, we have to solve for our x value by subtracting 2 from both sides.</em>

0.40x = 7.60

<em>Next, we can divide both sides by 0.40 to find out what our x value is equal too.</em>

x = 19

<em>Don't forget this x value is just for the number of </em><em>additional</em><em> fifth kilometers Dan can afford on top of his first fifth mile.</em>

<em />

<em>So! Dan can afford 20 fifth kilometers, which in turn in is 4 kilometers in total. </em>

<em />

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

5 0
3 years ago
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