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tatyana61 [14]
3 years ago
8

Simplify the following expressions pliss help my ​

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0
Use photo math it helps with everything
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An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The r
aleksandrvk [35]

To solve the question, we will be using a Venn Diagram. Let's list down what's given first:

855 drank alcohol

657 smoked cigarettes

192 used illegal drugs

418 both drank alcohol and smoked cigarettes

109 drank alcohol and used illegal drugs

116 smoked cigarettes and used illegal drugs

88 engaged in all three

and 251 engaged in none of these

We will draw a Venn Diagram with 3 circles, one for each vice. Then we will start with the intersection of all three and the area outside of the circles (for those who do not engage in vices).

Because we know how many engaged in all 3 vices, we can deduct that number from those who belong to the intersection of 2 vices since they have already been counted in that too.

418 - 88 = 330 drank and smoked, but not used drugs

109 - 88 = 21 drank and used drugs, but not smoked

116 - 88 = 28 smoked and used drugs but not drank

Then, we subtract the numbers in each circle from the total for each vice.

855 - (330 + 88 + 21) = 416 drank only

657 - (330 + 88 + 28) = 211 smoked only

192 - (88 + 21 + 28) = 55 used drugs only

To find the total number of surveyed students, we just need to add all the numbers in the Venn Diagram.

416 + 330 + 88 + 21 + 211 + 28 + 55 + 251 = 1,400

Therefore, there were 1,400 students who were surveyed.

3 0
1 year ago
solve this system of linear equations. separate the x- and y- values with a comma. 6x +5y=-19 12x-8y=52
Ymorist [56]

ANSWER

The solution is

(x,y)=(1,-5)

EXPLANATION

The equations are:

1st equation: 6x +5y=-19

2nd equation: 12x-8y=52

Multiply the first equation by 2:

3rd equation: 12x +10y=-38

Subtracy the 2nd equation from the 3rd equations.

12x-12x+10y--8y=-38-52

18y=-90

Divide both sides by 18.

y=-5

Put y=-5 into any of the equations and solve for x.

Preferably, the first equation will do.

6x +5(-5)=-19

6x -25=-19

6x=25-19

6x=6

x=1

The solution is

(x,y)=(1,-5)

8 0
3 years ago
What is the slope of the line that passes through the points (6, 7) and (16,22)??? i have been
Stolb23 [73]

Answer:

1.5

Step-by-step explanation:

picture

5 0
2 years ago
What is the domain of the set of ordered pairs?<br> (8, -13); ( 0,-5); (4, -9); (-3,2)
UNO [17]

The domain is the input values, which are the x values.

The x values in the given pairs are: 8, 0,4,-3

The domain set is (-3, 0, 4, 8)

4 0
3 years ago
Read 2 more answers
Because of her past convictions for mail fraud and forgery, Jody has a 30% chance each year of having her tax returns audited. W
Flura [38]

Answer:

The probability that she will escape detection for at least three years is P=0.343.

Step-by-step explanation:

If Jody has a 30% chance each year of having her tax returns audited, she also has 70% chance each year of escaping detection.

The probability of this happening 3 years in a row is:

P_n=q^n=0.7^3=0.343

8 0
3 years ago
Read 2 more answers
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