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emmainna [20.7K]
3 years ago
11

two cassettes and three CDs cost $175 while four cassettes and one cd cost $125. Given that one cassette costs 5x and one cd cos

ts 5y , write two equations in x and y to represent the information.
Mathematics
1 answer:
Delvig [45]3 years ago
8 0
The first equation is
2*5x+3*5y=175\rightarrow 10x+15y=175
The second equation is
4*5x+5y=125\rightarrow 20x+5y=125
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Write the polynomials in standard form:<br><br> (15–7xy^2)–(y^3–y^2x–15)
stepan [7]
<h3>Answer:</h3>

-y³ -6y²x +30

<h3>Step-by-step explanation:</h3>

When parentheses are eliminated and the y variable placed first in each term, the expression simplifies to ...

... 15 -7y²x -y³ +y²x +15

Arranging like terms together, we have ...

... -y³ +y²x(-7 +1) +(15 +15)

... -y³ -6y²x +30

_____

The two different 3rd-degree terms can be expressed in either order. I have chosen to list the term with the largest exponent first. The expression could also be written with the same-degree terms in "lexicographical order", meaning the expression would be written ...

... -6xy² -y³ +30

7 0
3 years ago
Please please help me please help please please help me please help please
AVprozaik [17]

Answer:

Perimeter is 17.07

Step-by-step explanation:

We know that DF = EF = 5 cm, since D and E are the midpoints of AC and AB, both of which are 10 cm in length.

We need to use the Pythagorean theorem to get the length of DE.

DE = \sqrt{5^{2} +5^{2}}=\sqrt{50}  = 7.07\\

So the perimeter of DEF is 5 + 5 + 7.07 = 17.07

5 0
3 years ago
a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is
Mademuasel [1]

Answer:

Step-by-step explanation:

Take 20( cosine of 75 degrees)

the answer is 5 ft

8 0
3 years ago
Read 2 more answers
Write the equation in standard form for the circle with center (0, – 10) and radius 6.
Artemon [7]

Answer:

Equation of circle in standard form with centre (0, – 10) and radius 6. \mathbf{x^2+(y+10)^2=36}

Step-by-step explanation:

We need to write equation of circle in standard form with centre (0, – 10) and radius 6.

The equation of circle is: (x-h)^2+(y-k)^2=r^2

where (h,k) is centre of circle and r is radius

We are given centre (0,-10) so, h=0, k=-10 and radius r = 6

Putting values and finding equation:

(x-h)^2+(y-k)^2=r^2\\(x-0)^2+(y-(-10))^2=(6)^2\\x^2+(y+10)^2=36

So, equation of circle in standard form with centre (0, – 10) and radius 6. \mathbf{x^2+(y+10)^2=36}

5 0
3 years ago
Simplify the expression m-6n-3/m-13n-1
rosijanka [135]

ANSWER: 7n-2

m-6n-3/m-13n-1

First you cross cancel m

then you get -6n-3/-13n-1

Thn you would subtract : 7n-2

3 0
3 years ago
Read 2 more answers
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