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skelet666 [1.2K]
3 years ago
9

What is the answer? 5(6x-2) = -250

Mathematics
2 answers:
dlinn [17]3 years ago
8 0

Answer: x = -8

Step-by-step explanation: 5(6x-2) = -250 First Distribute the 5

                                             30x - 10 = -250 Add 10 to both sides

                                                    + 10    + 10

                                             30x/30 = -240/30 Divide by 30

                                              x = -8

faust18 [17]3 years ago
4 0

Answer:

x = -8

Step-by-step explanation:

5(6x-2) = -250

30x - 10 = -250

30x/(30) = -240/(30)

x = -8

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Sommer wants to buy a new car. She currently drives a car that gets 24 miles per gallon. She is contemplating buying a car that
frozen [14]

answer

$962.50

set up equation

first, we want to find out how many gallons of gas she'll save a year

x1 = gallons for old car

x2 = gallons for new car

gallons saved = x1 - x2 since she uses more gallons with the old car with a lower miles per gallon

then, find how much she saves on gas by multiply the price per gallon (3.85) by gallons saved

price saved = gallons saved * price

price saved = (x1 - x2) * 3.85

gallons with old car

to find the number of gallons, we divide the number of miles (15000) by miles per gallon (24 for the old car)

x1 = 15000 / 24

x1 = 625

gallons with new car

use the same process as with the old car, but with 40 miles per gallon instead

x2 = 15000 / 40

x2 = 375

plug in values

price saved = (x1 - x2) * 3.85

price saved = (625 - 375) * 3.85

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3 0
3 years ago
On a map with a scale 1 : 100,000, the distance between two cities is 12 cm. What would be the distance between these two cities
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Answer:

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Step-by-step explanation:

5 0
1 year ago
A real estate agent has 1212 properties that she shows. She feels that there is a 50P% chance of selling any one property during
forsale [732]

Answer:

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

12 properties

This means that n = 12

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling no more than 6 properties in one week.

This is:

P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002

P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029

P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161

P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537

P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208

P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934

P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256

P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

6 0
2 years ago
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