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sasho [114]
2 years ago
14

Michael has $1,089.17 in his checking account. He is going to spend $525.20 on a new television and spend the rest on speakers t

hat cost $49.00 each. Which of the following inequalities would determine the maximum number of speakers (y) Michael can buy without spending more money than is in his account?
A.$525.20 + $49.00(y) < $1,089.17
B. $1,089.17 + $525.20 > $49.00 + y
C. $525.20 < $49.00(y) + $1,089.17
D. $525.20 + $49.00 + y < $1,089.17
Mathematics
2 answers:
jok3333 [9.3K]2 years ago
6 0

Answer:

The answer is A.

Michael wants to spend less money than his account hold, so the inequality must include " > 1,089.17.  The inequality should also include 525.20 as the cost of the TV and 49y as the number and cost of the speakers.

jeka942 years ago
4 0

Answer:

525.20 + 49 y ≤1089.17

Step-by-step explanation:

The cost of the tv plus the cost of the speakers times the number of speakers must be less than or equal to the amount in the account

525.20 + 49 y ≤1089.17

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If y=3x^3+x^2-5 and z=x^2-12 what polynomial is equivalent to 2(y+z)
marysya [2.9K]

Answer:

2y + 2z

6x³+2x²-10 + 2x²-24

6x³+4x²-34 ■

Step-by-step explanation:

6 0
2 years ago
Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing
Basile [38]

Answer:

a)

A={RRR,SSS,LLL}

b)

B={RSL,SLR,LRS,RLS,SRL,LSR}

c)

C={RRL,RLR,LRR,RRS,SRR,RSR}

d)

D={RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

e)

D'={RRR, RLS, RSL, LRS, LLL, LSR, SRL, SLR, SSS}

Step-by-step explanation:

Sample space=S= {RRR, RRL, RRS, RLR, RLL, RLS, RSR, RSL, RSS, LRR, LRL, LRS, LLR, LLL, LLS, LSR, LSL, LSS, SRR, SRL, SRS, SLR, SLL, SLS, SSR, SSL, SSS}

a)

Let A be the event that all three vehicles go in same direction. It means that the all three vehicles go to right or left or straight. Thus, event A can be represented as

A={RRR,SSS,LLL}

b)

Let B be the event that all three vehicles go in different direction. It means that the three vehicles can go to

1. Right, Straight, Left

2. Straight, Left, Right

3. Left, Right, Straight

4. Right, Left, Straight

5. Straight, Right, Left

6.  Left, Straight, Right

Thus, event B can be represented as

B={RSL,SLR,LRS,RLS,SRL,LSR}

c)

Let C be the event that exactly two of three vehicles turn right. It means that the three vehicles can go to

1. Right, Right , Left

2. Right , Left, Right

3. Left, Right, Right

4. Right, Right , Straight

5. Straight, Right,Right

6.  Right , Straight, Right

Thus, event C can be represented as

C={RRL,RLR,LRR,RRS,SRR,RSR}

d)

Let D be the event that exactly two of three vehicles go in same direction. It means that the three vehicles can go to

1. Right,  Right, Left

2. Right, Right, Straight

3. Right, Left,  Right

4. Right, Left, Left

5. Right, Straight, Right

6. Right, Straight, Straight

7.  Left,  Right, Right

8. Left,  Right, Left

9. Left, Left, Right

10. Left, Left, Straight

11. Left, Straight, Left

12. Left, Straight, Straight

13. Straight, Right, Right

14. Straight, Right, Straight

15. Straight, Left, Left

16. Straight, Left, Straight

17. Straight, Straight, Right

18.Straight,Straight, Left

Thus, event D can be represented as

D={RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

e)

D'=S-D= {RRR, RRL, RRS, RLR, RLL, RLS, RSR, RSL, RSS, LRR, LRL, LRS, LLR, LLL, LLS, LSR, LSL, LSS, SRR, SRL, SRS, SLR, SLL, SLS, SSR, SSL, SSS} -{RRL, RRS, RLR, RLL, RSR, RSS, LRR, LRL, LLR, LLS, LSL, LSS, SRR, SRS, SLL, SLS, SSR, SSL}

D'={RRR, RLS, RSL, LRS, LLL, LSR, SRL, SLR, SSS}

8 0
3 years ago
Rewrite the following fractions with a denominator of 12 :<br> 24/36 , 54/72
Leviafan [203]
For the denominator of 12, Your fractions will now look like:

8/12 ( Simplify if needed) as well as

9/12 (Simplify if needed)


You want to find the multiple that will give you 12 upon the bottom of the fraction and divide your numerator by that number as well. For the first one, it’s 3, and for the second one, it’s 6
6 0
3 years ago
Shivani started the week with $9,000 in her bank account. Then she spent $5,000 on an antique clock. Which integer represents th
Crank

Answer:

4,000 is the integer representing the final balance of the bank account

Step-by-step explanation:

Here, we are told that Shiavni had a total of $9,000 in her bank account at the start of the week of which she spent $5,000 out of it on an antique clock.

Now, we want to know the integer that represents the amount which is the final balance of the bank account.

Mathematically, when we talk of an integer, we are simply referring to a whole number, be it negative or positive.

Thus, the integer is the case is the difference in what she had at the beginning of the week minus the cost of the clock

That would be; $9,000 -$5000 = $4,000

6 0
2 years ago
Solve for X<br> 2x - 8 = 30
Alex777 [14]

Answer:

x=19

Step-by-step explanation:

2x - 8 = 30

get x by itself by adding 8 to both sides

2x=38

divide by 2

x=19

3 0
2 years ago
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