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Vinvika [58]
2 years ago
5

Show all work necessary to solve each problem.

Mathematics
1 answer:
lawyer [7]2 years ago
5 0

Answer:

x = 12

Step-by-step explanation:

2(x-18)+ 3x = 24
distribute the 2
2x - 36 + 3x = 24
combine like terms
5x - 36 = 24
+ 36 on both sides
5x = 60
divide by 5
x = 12

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AB and BC form a right angle at their point of intersection, B. If the coordinates of A and B are (14, -1) and (2, 1), respectiv
lbvjy [14]
1) BC intercept y at (2,1) (given)

2) The slope of AB ===> m= (-1 - 1)?(14 - 2) ===> m = - 1/6

2) the slope of BC that is perpendicular to AB is the inverse of (1/6) & change the sign, that is 6. To find the function y, apply the formula:
y-y1) = m(x-x1) ===> y-1 = 6(x-2) [the coordinate of B] ==> y= 12x - 11

3) if y= 13, replace y by 13 in the equation:
13 = 12x -11 ===>x  = 2


7 0
3 years ago
What is a measurement 90 degrees called
romanna [79]
It would be a right angle
4 0
3 years ago
Read 2 more answers
Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon
Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}

First we find mean of the given data ,

\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44

Now,

{\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2

=1+1+1+1=4

Now,  standard deviation of the above results will be :-

\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0
4 years ago
sue needs 1 1\4 cup of flower for a batch of cookies, how many batches can she make with 9 cups of flower
julsineya [31]
It would be 3 becuse 11/4 * 3 is 8.25 and is the highist to 9 so the answer would be 3
4 0
4 years ago
Read 2 more answers
You are given a bag of jelly beans. There are 7 red, 8 blue, 4 yellow, and 10 pink. Find the probability of drawing 2 blue in a
miss Akunina [59]
Okay so the probability of drawing a blue bean is

8 / 29 = .276

29 is the total number of jelly beans

When we have replacement, we do not reduce the number of total jelly beans, so the probably of drawing blue stays the same.

But to find the probability of drawing a blue two times in a row, we must square the probability .

(.276) • (.276) = 0.076

Your answer is 7.6% !

If your have any questions, leave a comment! I hope I helped :)
4 0
3 years ago
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