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1 year ago

Hi, I have no clue how to do proportions and can you explain how to do this? If you can't that's alright.

Mathematics

1 answer:

bekas [8.4K]1 year ago

4 0

___________________

Please, give me some minutes to take over your question

______________________________________

Rate = miles / time

8/t = 7/ 35

Dividing by 7

8/t = 7/ 35

8/ 7t = 1/ 35

Multiplying by t

8/7 = t/35

_____________

Options

1) 8/t = 35/ 7 (False, t/8 = 35/ 7 )

2) t/8 = 7/ 35 (False, t/8 = 35/ 7 )

3) 8/7 = t/ 35 (TRUE)

4) 7/8 = t/35 (False, 8/7 = t/ 35 )

__________________

Answer

3) 8/7 = t/ 35 (TRUE)

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There are 4512 marbles which will be divided equally among 48 students how many marbles will each student get

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Answer:

94 marbles

Step-by-step explanation:

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3 years ago

Solve: -3 |x-3| = -6 <br>how do i solve absoulute value ?

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Answer:

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Step-by-step explanation:

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3 years ago

Marty and Ethan both wrote a function, but in different ways.

lisabon 2012 [21]

Answer:

Marty's function has larger slope as compared to Ethan's slope.

Step-by-step explanation:

Marty function:

y plus 3 equals StartFraction 1 Over 3 EndFraction left-parenthesis x plus 9 right-parenthesis.

Writing in mathematical form: $y+3=\frac{1}{3}(x+9)$

Marty has written expression in point-slope form: $y-y_1=m(x-x_1)$ where m is slope

So, comparing Marty's equation with general point-slope form equation we get slope $m=\frac{1}{3}\:or\: 0.3$

Now, Ethan has a table

x y

-4 9.2

-2 9.6

0 10

2 10.4

We can find slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

Using any two points, we can find slope of Ethan's equation

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{9.6-9.2}{-2-(-4)} \\Slope=\frac{0.4}{-2+4} \\Slope=\frac{0.4}{2} \\Slope=0.2$

So, we get Marty's slope = 0.3

Ethan's slope = 0.2

So, Marty's function has larger slope as 0.3 is greater than 0.2

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3 years ago

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strojnjashka [21]

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3 years ago

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Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=

frozen [14]

Remember, any two perpendicular lines are negative reciprocals of each other. So if you're given the slope of -6, you can find the perpendicular slope by this formula:

m%5Bp%5D=-1%2Fm where m%5Bp%5D is the perpendicular slope

m%5Bp%5D=-1%2F%28-6%2F1%29 So plug in the given slope to find the perpendicular slope

m%5Bp%5D=%28-1%2F1%29%281%2F-6%29 When you divide fractions, you multiply the first fraction (which is really 1%2F1) by the reciprocal of the second

m%5Bp%5D=1%2F6 Multiply the fractions.

So the perpendicular slope is 1%2F6

So now we know the slope of the unknown line is 1%2F6 (its the negative reciprocal of -6 from the line y=-6%2Ax%2B8). Also since the unknown line goes through (3,6), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope and (x%5B1%5D,y%5B1%5D) is the given point

y-6=%281%2F6%29%2A%28x-3%29 Plug in m=1%2F6, x%5B1%5D=3, and y%5B1%5D=6

y-6=%281%2F6%29%2Ax-%281%2F6%29%283%29 Distribute 1%2F6

y-6=%281%2F6%29%2Ax-3%2F6 Multiply

y=%281%2F6%29%2Ax-3%2F6%2B6Add 6 to both sides to isolate y

y=%281%2F6%29%2Ax-3%2F6%2B36%2F6 Make into equivalent fractions with equal denominators

y=%281%2F6%29%2Ax%2B33%2F6 Combine the fractions

y=%281%2F6%29%2Ax%2B11%2F2 Reduce any fractions

So the equation of the line that is perpendicular to y=-6%2Ax%2B8 and goes through (3,6) is y=%281%2F6%29%2Ax%2B11%2F2

So here are the graphs of the equations y=-6%2Ax%2B8 and y=%281%2F6%29%2Ax%2B11%2F2

graph of the given equation y=-6%2Ax%2B8 (red) and graph of the line y=%281%2F6%29%2Ax%2B11%2F2(green) that is perpendicular to the given graph and goes through (3,6)

answer:(3,6)

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4 years ago