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Pachacha [2.7K]
3 years ago
5

Christine , Kareem , and trey have a total of $79 in their wallet. Christine has $7 more than Kareem trey has 2 times what Karee

m has . how much does each have?
Mathematics
1 answer:
Oxana [17]3 years ago
7 0

Answer:

Christine: $25

Kareem: $18

Trey: $36

Step-by-step explanation:

Variables:

c = amount of money Christine has

k = amount of money Kareem has

t = amount of money Trey has

c = 7 + k

t = 2k

total amount of money = $79 = c + k + t

Write the equation in terms of k:

79 = (7 + k) + k + 2k

79 = 7 + 4k

72 = 4k

k = 18

Kareem has $18.

Since we found how much money Kareem has, we can find how much money everyone else has:

c = 7 + k

c = 7 + 18

c = $25

Christine has $25

t = 2k

t = 2(18)

t = $36

Trey has $36

Check to make sure the sum of all three people's money is $79:

18 + 25 + 36 = 79

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I think its 210 because there are 7 letters and 3 vowels so the permutation would be 7 P 3.

7 0
3 years ago
A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.
Mazyrski [523]

Answer:

First city: $5,500

Second city: $5,000

Step-by-step explanation:

Let's define x as the hotel price in the first city and y the hotel price in the second city.  We can start with this equation:

y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)

Then we can say

0.065x + 0.045y = 582.50  (the sum of the tax amounts were $582.50)

We place the value of y from the first equation in the second equation:

0.065x + 0.045 (x - 500) = 582.50

0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...

0.11x = 605

x = 5,500

The cost of the first hotel was $5,500

Thus, the cost of the second hotel was $5,000 (x - 500)

6 0
3 years ago
8.5 + 4(1 - 2.5k) = - 24.5 solve and round to the narest humdredth
Yuri [45]

Answer:

  k = 3.70

Step-by-step explanation:

Eliminate parentheses, then subtract the constant term on the left

  8.5 +4 -10k = -24.5

  -10k = -37 . . . . . . . . . . 12.5 subtracted from both sides

  k = 3.70 . . . . . . . . . . . both sides divided by -10 (no rounding required)

7 0
3 years ago
A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the
Vaselesa [24]

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT  = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes =   2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) /  ( 7 / 8 ) = 2 / 7

4 0
3 years ago
List the number which round off to 300
Scrat [10]
Is this supposed to be an open answer or are there choices? I see no picture attachment
7 0
3 years ago
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