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3 years ago

How can you use proportions to solve percent problems

Mathematics

2 answers:

Xelga [282]3 years ago

6 0

Fractions can be easily converted to percents such as:
1/4 = 25%

mestny [16]3 years ago

5 0

Convert the fractions to percenta

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What is the slope of the line through (-9,6) and (-6,-9)?<br> Your answer must be exact.

iogann1982 [59]

The formula for slope is:

$m=\frac{y_{2}-y_{1}}{x_{2}-{x_{1}}$

So just plug in the values:

$m=\frac{-9-6}{-6+9}=\frac{-15}{3}=-5$

So $m=-5$ !

5 0

3 years ago

A boy 1.6 m tall casts a 2.4 m shadow. How tall is a nearby streetlight that casts a 7.2 m shadow?

Oxana [17]

You basically need to set up a porporion:
1.6/2.4 = x/7.2
x=4.8

8 0

3 years ago

Which relationship is a direct variation?

Setler79 [48]

Option A is the relationship which shows a direct variation.

Step-by-step explanation:

The direct variation is a relationship between two variables in which one is the multiple of the other. It is given by the relation

$\frac{y}{x}=k$

Option A:

For $x=2$ and $y=1$ ,

$\frac{y}{x}=\frac{1}{2}$

For $x=4$ and $y=2$ ,

$\frac{y}{x}=\frac{2}{4}= \frac{1}{2}$

Since, the constant k is equal for all the values of x and y in the table, this relationship is a direct variation.

Option B:

For $x=2$ and $y=4$ ,

$\frac{y}{x}=\frac{4}{2}= 2$

For $x=4$ and $y=16$ ,

$\frac{y}{x}=\frac{16}{4} =4$

Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.

Option C:

For $x=1$ and $y=3$

$\frac{y}{x} =\frac{3}{1} =3$

For $x=2$ and $y=5$

$\frac{y}{x} =\frac{5}{2}$

Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.

Option D:

For $x=1$ and $y=-1$

$\frac{y}{x} =\frac{-1}{1} =-1$

For $x=2$ and $y=2$

$\frac{y}{x} =\frac{2}{2} =1$

Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.

Thus, Option A is the relationship which shows direct variation.

7 0

3 years ago

Factor each expression. 3x+12

Strike441 [17]

Answer:

(3)*(x) + (4)*(3)

Step-by-step explanation:

3 0

3 years ago

A fisherman can row upstream at 4mph and downstream at 6mph. He started rowing upstream until he got tired and then started down

ikadub [295]

Total time = upstream time + downstream time
he rowed the same distance both ways.
upstream time = D/4
downstream time = D/6
total time = D/4 + D/6 = 3D/12 + 2D/12 = 5D/12 = 3 hours
D = 3*12/5 = 36/5 or 7.2 miles
where D is the one-way distance. The total distance he rowed is 2*D = 72/5 or 14.4 miles

6 0

3 years ago

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