Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?

Answers

Answer 1

Answer: $20 bought 16 songs
Therefore each song costs $20/16 = $5/4 = $1.25
So:
2 songs would cost 2 * $1.25
3 songs would cost 3 * $1.25
...
x songs would cost x * $1.25

Since Renata started with $20, then her balance (y) after buying x songs would be:

y = 20 - 1.25*x

Answer 2

Answer:

The equation that represents the relationship between the remaining balance and the number of songs purchased is y = $20 - $1.25x.

What is the equation?

The first step is to determine the cost of one song.

Cost of one song = $20 / 16 = $1.25

Remaining balance = value of the gift card - (number of songs purchased x cost of one song)

y = $20 - $1.25x

To learn more about mathematical equations, please check: brainly.com/question/26427570

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Find the product.(7x - 6)2
A. 49x2 + 36
B. 49x2 - 84x + 36
C. 7x2 - 84x + 36
D. 7x2 + 36

Answers

When we square brackets, it is always advised to write out the brackets fully.
(7x - 6)² becomes
(7x - 6)(7x - 6)

Next, we follow FOIL
First (The first term in the set 1 multiplied by the first term in set 2)
Outer (The first term in set 1 multiplied by the second term in set 2)
Inner (The second term in set 1 multiplied by the first term in set 2)
Last (The second term in set 1 multiplied by the second term in set 2)

F   7x x 7x = 49x²
O  7x x -6 = -42x
I    -6 x 7x = -42x
L -6 x -6 = 36

Now, we add together all the terms

49x² + -42x + -42x +36

Adding a negative is the same as subtracting

49x² - 42x - 42x + 36

Finally, simplify (add together the like terms)

49x² -84x + 36

Answer:

Option B: 49x² -84x + 36

Step-by-step explanation:

Joanna went school supply shopping. She spent $26.75 on notebooks and pencils. Notebooks cost $1.85 each and pencils cost $1.38 each. She bought a total of 17 notebooks and pencils. How many of each did she buy?A. 12 notebooks; 5 pencils
B. 7 notebooks; 10 pencils
C. 10 notebooks; 7 pencils
D. 5 notebooks; 12 pencils

Answers

C. 10 notebooks; 7 pencils.

Factor completely 14bx2 − 7x3 − 4b + 2x.(2b + x)(7x2 + 2)

(2b − x)(7x2 − 2)

(2b + x)(7x2 − 2)

Prime

Answers

Answer:

$(2b-x)(7x^2-2)$

Step-by-step explanation:

We have to factor the expression $14bx^2-7x^3-4b+2x$

We apply the method of grouping to factor it.

Make groups

$(14bx^2-7x^3)+(-4b+2x)$

Take GCF

$7x^2(2b-x)-2(2b+x)$

Finally, factored out the common factor

$(2b-x)(7x^2-2)$

The factored form of the given expression is

$(2b-x)(7x^2-2)$

hello,

14bx²-7x^3-4b+2x= -7x^3+14bx²+2x-4b
=-7x²(x-2)+2(x-2b)
=(x-2b)(-7x²+2)
=(2b-x)(7x²-2)

answer 2

LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:100 + 38x = C

LaToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that LaToya can be a member of the gym?

Answers

First we know that the maximum of money to spend is $404. Then we will put it in equation:
100+38 x=404
38 x=404-100
38 x=304
x= 304:38
x= 8
So the answer is 8 months.

Answer:

8 months

Step-by-step explanation:

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Answers

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Step-by-step explanation: There are 4 quarts in one gallon so you just multiply 35 by 4.

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