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Ronch [10]
3 years ago
10

Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 ever

y month. The second option is to put $100 away initially and save $30 every month. After how many months would Tina save the same amount using either options? How much would she save with either option?
Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

Answer: In five months,she will save the same money which is $250.

Step-by-step explanation:

Using the first statement we can generate the function y=10x + 200  and using the second statement we can also generate the function y = 30x + 100 . Now using the two equations solve for x and y to determine how many months they cost the same.

y = 10x + 200

y = 30x + 100  

Substitute the value of x in the first equation into the second equation.

30x + 100= 10x + 200   now solve for x

         -100            -100

30x = 10x + 100

-10x    -10x

20x = 100

x= 5  

This means in five months Tina will save the same amount. Now to find out how much the amount is, plot the value of x into one of the equations and solve for  y.

y = 10(5) + 200

y = 50 + 200

y = 250  

She will save $250 with either option.

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Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
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4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
   = 12.96 - 2.97
   = 9.99 dollars

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I need help with these questions!!<br> 25 points!!!!<br> That’s what I have
Troyanec [42]

Answer:

7. D

8. A

9. D

10. B

11 A)  640 = 0.8j

11 B)   \frac{0.8j}{1.15}

Step-by-step explanation:

7.

Let Emmet work for "m" minutes

Since, Cal worked 4times as this, we can say Cal worked for "4m" minutes

Now, the total time (CAL + EMMET) is 720, so we SUM UP their individual times' expression and equate to 720. Shown below:

4m + m = 720

This is Answer choice D

8.

Let s be the price of each shirt

Each shirt costs "s" each, so 4 shirts cost "4s" in total.

4 shirts costs 60 AFTER 10 dollar discount, so before discount, it was:

60 + 10 = 70 dollars

Hence, 4 shirts cost 70 dollars BEFORE discount, so we can say:

4s = 70

But none of the choices are this, we need to simply manipulate this equation to get our answer (from choices).

<em>How did we get 70? We added 60 and 10. So we can put "60" on the right hand side and "-10" on the left hand side to get:</em>

<em>4s - 10 = 60</em>

<em />

<em>This is ultimatley 4s = 70</em>

<em>So the correct answer choice is A</em>

9.

Let Tony's age be "y"

We know grandmother is "3 years MORE than 6 times TONY (y)", thus we can write:

Grandmother is "6y + 3"

Total sum of them both is 87. Thus we can SUM both these expressions and equate to 87. Thus,

y + 6y + 3 = 87

D is the correct choice.

10.

THe total length is "f"

Each piece cut is 3/4

So the number of pieces is the total by each piece, so that is

\frac{f}{\frac{3}{4}}

All these "number of pieces" makes 6 shelves (since he used all), so we equate this expression to "6".   Now we have:

\frac{f}{\frac{3}{4}}=6

That is answer choice B

11 A)

Let Jocelyn's computer's price be "j",

Adrian's is 640, which is 20% LESS THAN Jocelyn's (j), so we can say:

640 is 20% less than "j"

or

"20% less than j" would be:

j - 0.2j = 0.8j

Now, we can write:

640 = 0.8j

11 B)

We can say:

Adrian is 15% more than Corbin

or

A = 0.15C + C

A = 1.15C

[note: let adrian's computer price be A and Corbin's computer price be C]

Also we know

0.8j = Adrian

We can put this in to get:

A = 1.15C

C = A/1.15

C = 0.8j/1.15

THis is an expression for Corbin's computer price in terms of j:

\frac{0.8j}{1.15}

5 0
3 years ago
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