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3 years ago

Last Wednesday it snowed 3 1/4 in. On Sunday it snowed 3 4/5 in. On which day did it snow more? How much more?

2 answers:

7 0

let's firstly convert the mixed fractions to improper fractions. and then let's make them with the same denominator by simply <u>multiplying each other by the other's denominator</u>.

$\bf \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{3\frac{4}{5}}\implies \cfrac{3\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{19}{5}} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \textit{now let's \underline{multiply each other by the other's denominator}} \\\\\\ \cfrac{13}{4}\cdot \cfrac{5}{5}\implies \cfrac{65}{20}\qquad \qquad \qquad \cfrac{19}{5}\cdot \cfrac{4}{4}\implies \cfrac{76}{20}~\hfill \cfrac{65}{20}$

damaskus [11]3 years ago

4 0

3 4/5 because when you make the denominators equal by multiplying 1/4 by 5 on both sides and 4/5 by 4 and both sides you will get 5/20 and 16/20

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VashaNatasha [74]

Answer:

9 comedy

12 horror

Step-by-step explanation:

First, there are 360 degrees in a circle.

Comedy = 90 degrees

Action and romance = 90 degrees combined

Horror = 120 degree

Science fiction = 60 degrees

To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees

36 students took the survey.

1/4 × 36 = 9

Horror is 120 degrees out of 360 degrees or 1/3 of the circle.

1/3 × 36 = 12

6 0

2 years ago

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Anuta_ua [19.1K]

Answer:

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Step-by-step explanation:

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2 years ago

(4x3y3)3<br>me pueden ayudar

Dominik [7]

Answer:

12x9y9

Step-by-step explanation:

( 4x3y3 ) 3

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2 years ago

Help. Please. Thank You.

GenaCL600 [577]

Answer:

$(A)\ a=-6;b=4\\\\ (B)\ a=6;b=-4$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+c$

Where "m" is the slope and "c" is the y-intercept.

By definition:

1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.

2. If the they are the same exact line, the System of equations has Infinite solutions.

(A) Let's solve for "y" from the first equation:

$3x-2y=-1\\\\-2y=-3x-1\\\\y=\frac{3}{2}x+\frac{1}{2}$

You can notice that:

$m=\frac{3}{2}\\\\c=\frac{1}{2}$

In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:

$a=-6\\\\b=4$

Substituting those values into the second equation and solving for "y", you get:

$-6x+4y=-2\\\\4y=6x-2\\\\y=\frac{6}{4}x-{2}{4}\\\\y=\frac{3}{2}x-\frac{1}{2}$

You can idenfity that:

$m=\frac{3}{2}\\\\c=-\frac{1}{2}$

Therefore, they are parallel.

(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:

$a=6\\\\b=-4$