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2 years ago

I need help with these two

Mathematics

1 answer:

Zinaida [17]2 years ago

4 0

1. Adding all the responses together, we get the total number of responses is 24. The number of people who chose a genre that wasn't mystery was 7 for science fiction, 6 for history, and 3 for biographies. This means we will have 3 fractions before reducing. 7/24, 6/24, and 3/24. 7/24 is in simplest form, but 6/24 and 3/24 can be reduced. 6/24 can be 3/12 and 1/4. 3/24 can be 1/8. The answer will be to circle 7/24, 6/24, 3/12, 1/4, 3/24, or 1/8.

2. Plot the points given, and mirror them for point B and C to form the figure. When connecting them, the resulting figure should look extremely similar to the picture given.

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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b:

$y=\displaystyle-\frac{4}{3}x+b$

Determine the y-intercept (b):

$y=\displaystyle-\frac{4}{3}x+b$

To find the y-intercept, plug in the given point (6,14) and solve for b:

$14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22$

Therefore, the y-intercept of the line is 22. Plug this back into $y=\displaystyle-\frac{4}{3}x+b$ :

$y=\displaystyle-\frac{4}{3}x+22$

I hope this helps!

5 0

2 years ago

How in the world do I answer this problem??

galben [10]

Answer:

Step-by-step explanation:

ST is y and SU is 2y-4.

Note that SU = ST + TU = y + 18

So we have 2y - 4 = y + 18

2y - 4 = y + 18

2y = y + 22

y = 22

So ST is 22.

4 0

2 years ago

The sum of two numbers is 30. The difference of twice the larger number and three times the smaller number is 5. What is the pos

natali 33 [55]

Let’s give these two numbers variables
Let ‘a’ be the larger number
Let ‘b’ be the smaller number

Now from the question we know:
a + b = 30 or a = 30 - b
2a - 3b = 5

Now, let’s plug the first equation into the second to find ‘b’:

2(30 - b) - 3b = 5
60 - 2b - 3b = 5
60 - 5b = 5
55 = 5b
b = 11

Now we solve for ‘a’:
a = 30 - b
a = 30 - 11
a = 19

Now the question asks for the positive difference between the two numbers, so:
a - b = ?
19 - 11 = 8

Hope this helps!

5 0

2 years ago

The following data will be used to construct a box plot. What will be the value of the third quartile Q3? 2, 6, 8, 8, 9, 10, 10,

tatuchka [14]

Explanation is in the file

tinyurl.com/wtjfavyw

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2 years ago

Brian irons 2/9 of his his shirt in 3 3/5 Brian irons at a constant rate at this rate hou much of his shirt is ironed each minut

VashaNatasha [74]

(2/9 shirt)/(3 3/5 minute)
= (2/9)/(18/5) shirt/minute
= (2/9)*(5/18) shirt/minute
= 5/81 shirt/minute

5/81 of Brian's shirt is ironed each minute

_____
It will take Brian 16 1/5 minutes to iron his shirt.

8 0

2 years ago