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kirill [66]
3 years ago
5

ezra uses his bank account to buy gasoline for his car 3 times. each time he buys gasoline, it costs $18.50

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

$55.30

Step-by-step explanation:

you multiply the cost of gas by howmany times he has bought gas.

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At a school with 100? students, 33 were taking? Arabic, 32 ?Bulgarian, and 40 Chinese. 9 students take only? Arabic, 12 take onl
Stels [109]

Answer: The answer is 4 and 32.

Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.

The, according to the given information, we have

n(A)=33,~~n(B)=32,~~n(C)=40,~~n(A\cap B)=14.

Let 'p' represents the number of students who take all the three languages, then

n(A\cap B\cap C)=p.

Also,

n(A)-n(A\cap B)-n(A\cap C)+n(A\cap B\cap C)=9\\\\\Rightarrow n(A\cap B)+n(A\cap C)=24+p~~~~~~~~~~~~~~(a),\\\\n(A\cap B)+n(B\cap C)=20+p~~~~~~~~~~~~~~(b),\\\\n(B\cap C)+n(A\cap C)=20+p~~~~~~~~~~~~~~~(c).

From here, we get after subtracting equation(c) from (b) that

n(A\cap B)=n(A\cap C)=14.

Therefore,

p=14+14-24=4, and from equation (a), we find

n(B\cap C)=24-14=10.

Thus,

n(A\cap B\cap C)=4 and

n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cap B\cap C)=33+32+40-9-12-20+4\\\\\Rightarrow n(A\cap B\cap C)=68.

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.

5 0
3 years ago
HELP
Allushta [10]
A scatter plot with a trend line that has a slope of 1/3 shows a positive correlation between the data. Positive correlation indicates that as one set of data increases, the other will also increase. A trend line shows a rough estimate on the relationship between two sets of data. A line with a slope of 1/3 is increasing, so this indicates that the data in the scatter plot are positively correlated.
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3 years ago
PLEASE ANSWER FAST
Setler [38]
The length of all the sides is same, if u want to write it as an expression, you can write it as any variable, x,y or z
6 0
3 years ago
My questions are in the picture please help
Marrrta [24]

21.

So to solve for the value of a variable in an equation, you would need to isolate x on one side. The first thing you have to do is multiply 2 and (x + 7) together, which can be rewritten as 2(x) + 2(7). After multiplying, your equation would be: 2x+14+3x=12 , or A.

22.

So the rule with multiplying exponents with the same base is to add the exponents together, and the rule with dividing exponents with the same base is to subtract the exponents. Your equation will be simplified as such:

4^{(3+4)-9}\\ 4^{7-9}\\ 4^{-2}

Now the rule with converting negative exponents into fractions is x^{-m}=\frac{1}{x^m} . In this case, 4^-2 would turn into \frac{1}{4^2} , or C, which is your final answer.

6 0
3 years ago
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 fe
Vanyuwa [196]

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

Height = 24\ in

Width = 28\ in

From the center of the mirror to the floor of the wall, the distance is:

Distance =5\frac14\ ft

So, the distance to the top of the mirror will be:

Top = 5\frac 14\ ft + \frac 12 \times Height

Substitute 24 for height

Top = 5\frac 14\ ft+ \frac 12 \times 24\ in

Top = 5\frac 14\ ft+ 12 \ in

Convert feet to inches

Top = 5\frac 14\times 12\ in+ 12 \ in

Top = 63\ in+ 12 \ in

Top = 75 \ in

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

Distance = 8\ ft - 75\ in

Convert feet to inches

Distance = 8\times 12\ in - 75\ in

Distance = 96\ in - 75\ in

Distance = 21\ in

Hence, the distance is 21 inches

Read more about lengths at:

brainly.com/question/10545161

3 0
2 years ago
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