You have 45 to spend at the music store. Each cassette tape costs $5 and each CD costs $12. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CD's

Answers

Answer 1

Answer: $45 is greater than or equal to 12y+5x

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Victoria has some money from her birthday and the amount is modeled by the function h(x) = 200. She read about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x − 1. Victoria is thinking about putting her money into the savings account to gain interest. Using complete sentences, explain to Victoria how she can combine her functions to create a new function, and explain what this new function means.

Answers

so h(x) is total she has

the other function is interest
if she uses her money to gain interest then she puts in 200 for x in second equation

so subsitute 200 for x
the combined function would be
s(h(x))=(1.05)^(200-1)
basically she put in her savings/gifts and got interst

s(200)=(1.05)^(200-1)
s(200)=(1.05)^(199)
s(200)=16469.1

Abcd is a rectangle. Find the length of each diagonal. .AC= 3y/5 BD=3y-4

Answers

Answer:

AC = BD = 1 unit

Step-by-step explanation:

Given : length of diagonal of rectangle ABCD $AC=(3y)/(5)$ and $BD=3y-4$

We have to find the length of diagonal.

We know In rectangle diagonal are of equal lengths.

Therefore, for rectangle ABCD diagonals AC= BD

Substitute the values, we get,

$(3y)/(5)=3y-4$

Cross multiply , we get

$3y=5(3y-4)$

On simplyfy , we get

$3y=15y-20$

Solve for y , we get

$15y-3y=20$

$12y=20$

Divide both side by 12, we get,

$y=(20)/(12)=(10)/(6)$

Thus, put the values of y in AC and BD to find the length of diagonals , we get,

$AC=(3y)/(5)=(3)/(5)*(10)/(6)=1$

Similarly for BC, we get,

$BD=3y-4=3((10)/(6))-4=5-4=1$

Thus, AC = BD = 1 unit

I hope this helps you

Which ordered pair is a solution of the equation y = x – 3? (–2, 5) (–5, 2) (2, 5) (5, 2)

Answers

(5,2)

5=x

y=2

5-3=2

hope that helps

The answer is (5, 2).
y = x - 3. (x, y)

Find the distance between each pair of points.a. √58

b. √7

c. 5

d. √5

Answers

Answer:

Distance between the points (-3,1) and (1, -2),

$\sqrt{ {(1 + 3)}^(2) + {( - 2 - 1)}^(2) }$

$= \sqrt{ {(4)}^(2) + {( - 3)}^(2) }$

$= √(16 + 9) = √(25) = 5$

Option C

Plz help quick i will mark u brainiest its about transishons

Answers

Answer:

(x,y) --> (x+4, y-5)

Step-by-step explanation:

A is correct. B can be represented as x+4, y - 5 because the x values shifted 4 to the right (a positive shift so x+4) and the y values shifted 5 down (a negative shift so y-5)

Given the roll of paper towels below how much plastic would be needed to cover the role so it can be sold given the diameter of the role is 10 inches and the height is 13 inches