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sasho [114]
3 years ago
13

In the past you paid 800 per month to rent your apartment. You now pay 900 per month for your rent. What is the percent increase

in your rent
Mathematics
1 answer:
Lena [83]3 years ago
3 0
I think the answer to this question is 10% but I don’t know if it’s right
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John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age. How old is each person if their ages add up to 167?
kogti [31]

Solution:

we are given that

John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age.

Let the age of Jim be x years then we can say

Age of John=x+3

If diana Age is D then

x=D/2-4

It can be re-wriiten as

Diana age D=2x+8

Given that  their ages add up to 167

x+x+3+2x+8=167\\
\\
4x+11=167\\
\\
4x=167-11\\
\\
4x=156\\
\\
x=39\\

Hence jim is 39 nyears old, John is 39+3=42 years old. and Diana is 2*39+8=78+8=86 years old.

3 0
3 years ago
Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a
aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = \frac{12}{52}

Probability of getting a other card = \frac{40}{52}

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)(\frac{12}{52}) + (3)(\frac{40}{52})

                                  = \frac{192}{52} + \frac{120}{52}

                                  = \frac{312}{52}

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0
3 years ago
Which of the following scatterplots would have a trend line with a positive slope?
IRINA_888 [86]

Answer:

I think it will be the first one because as we can see the points are going up which tells us the line would be positive.

6 0
2 years ago
If UV = 6 and TV = 12, what is TU?
love history [14]

Answer:

TU = 6

Step-by-step explanation:

Using the Segment Addition Postulate, we know that TU + UV = TV, and since UV = 6 and TV = 12, we know that TU + 6 = 12, therefore, TU = 6.

3 0
3 years ago
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
spayn [35]

Answer:X=5/6 Y=8/5

Step-by-step explanation:

-6x +5y=3

+6x

5y=6x+3 (divide each number by 5)

Y=6/5x + 3/5 (Plug that into your x equation)

12x+15 (6/5x + 3/5) =34

(Multiply 15 by the numbers in the brackets you can break it down and do 15•6 divided by 5 )

15•6=90 divided by 5=18x

15•3= 45 divided by 5=9

(Add like variables)

12x+18x=30x

30x+9=34

(Subtract 9 from itself do the same to 34)

9-9= 0

34-9=25

Divide 30 by itself to get x by itself then divide 25 by 30

25 divided by 30= 5/6

X=5/6 (plug that into the y equation)

Y=6/5•5/6+3/5

Multiply 6/5 and 5/6 straight across because this is multiplication you don't need like denominators

6/5•5/6=30/30=1

Y=1+3/5

1/1 + 3/5

Here you need to have like denominators because it is addition so just use 5

5•1=5

5/5+3/5=8/5

Y=8/5

5 0
2 years ago
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