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nikdorinn [45]
3 years ago
5

Amber and her friend Nathan are saving to buy a video game that costs $65. Amber earns $12 per week for babysitting and spends $

4 of it. Nathan earns $15 per week for walking dogs and spends $8 of it. Which expression can be used to find how many weeks it will take to save for the video game?
Group of answer choices

65 ÷ [(12 − 4) + (15 − 8)]

65 ÷ [(12 + 4) − (15 − 8)]

65 ÷ [(12 + 4) − (15 + 8)]

65 ÷ [(12 − 4) + (15 + 8)]
Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0
Answer:65 divided [(12-4)+(15-8)]
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45 Tyrone is converting 50 to a percent. Which method should he use to find the percent? Divide the numerator and denominator of
laiz [17]

Answer:

3. multiply the numerator and denominator of the fraction by 2

Step-by-step explanation:

Multiplying the numerator and denominator by 2 is like multiplying the fraction by 2/2. 2/2 is one so it doesn't change the value.

8 0
3 years ago
Read 2 more answers
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
Determine if the function f(x) = 4√x − 3x satisfies the Mean Value Theorem on [4, 49]. If so, find all numbers c on the interval
Vedmedyk [2.9K]

Answer:

c

Step-by-step explanation:

The mean value theorem states that for a continuous and differentiable function on a interval there exists a number c from that interval, that

f'(c)=(f(b)-f(a))/(b-a)

First we must determine the endpoints:

f(49)=-119

f(4)=-4

We find the derivative of the function, f'(c)

f'(c)=3+2\sqrt{c}

Therefore:

3+2\sqrt{c}=((-119)-(-4))/((49)-(4))

Simplify:

3+2\sqrt{c}=-23/9

c=81/4

7 0
3 years ago
What is the equation of a vertical line that passes through the point (8, -1)?
Alex777 [14]

Answer:

x=8

Step-by-step explanation:

4 0
3 years ago
This needs to be answered for a number line <br><br> -9=4x+3
Galina-37 [17]

Answer:

X=-3

Step-by-step explanation:

To find the unknown variable: X, we need to see how mich 4x equals to. to do this, we must first subtract 3 from both sides of the equation. The left side will be left with -12, and the right side will be left with 4x. This means:

-12=4x So...

x=-3

To check if this is right, you can subsitute this back into the equation.

4 times -3= -12. -12=3=-9

8 0
3 years ago
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