Question Find the fraction and ratio that complete the given equations. Express each answer in simplest form. a) $q: v=7: 8$ b) $5x=6y$ $\boldsymbol{q}=\square \boldsymbol{v}$ $x: y=$

Studdy Solution

STEP 1

Assumptions1. For part a), the ratio $q:v$ is given as $78$ . We need to find the values of $q$ and $v$ that satisfy this ratio. . For part b), the equation $5x =6y$ is given. We need to find the ratio $x:y$ in its simplest form.

STEP 2

For part a), we can write the ratio $q:v$ as a fraction $q/v$ . This fraction is equal to the fraction $7/8$ .
$\frac{q}{v} = \frac{7}{8}$

STEP 3

To find the values of $q$ and $v$ that satisfy this equation, we can choose any two numbers that have the same ratio as $78$ . For simplicity, let's choose $q =7$ and $v =8$ .
$q =7, v =8$

STEP 4

Now, let's move on to part b). We can write the equation $x =6y$ as a ratio $x:y$ .
$\frac{x}{y} = \frac{}{6}$

STEP 5

To find the values of $x$ and $y$ that satisfy this equation, we can choose any two numbers that have the same ratio as $5$ . For simplicity, let's choose $x =5$ and $y =$ .
$x =5, y =$ The solutions to the equations area) $q =7, v =8$ b) $x =5, y =$

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Question Find the fraction and ratio that complete the given equations. Express each answer in simplest form. a) $q: v=7: 8$ b) $5x=6y$ $\boldsymbol{q}=\square \boldsymbol{v}$ $x: y=$

Studdy Solution

STEP 1

Assumptions1. For part a), the ratio $q:v$ is given as $78$ . We need to find the values of $q$ and $v$ that satisfy this ratio. . For part b), the equation $5x =6y$ is given. We need to find the ratio $x:y$ in its simplest form.

STEP 2

For part a), we can write the ratio $q:v$ as a fraction $q/v$ . This fraction is equal to the fraction $7/8$ .
$\frac{q}{v} = \frac{7}{8}$

STEP 3

To find the values of $q$ and $v$ that satisfy this equation, we can choose any two numbers that have the same ratio as $78$ . For simplicity, let's choose $q =7$ and $v =8$ .
$q =7, v =8$

STEP 4

Now, let's move on to part b). We can write the equation $x =6y$ as a ratio $x:y$ .
$\frac{x}{y} = \frac{}{6}$

STEP 5

To find the values of $x$ and $y$ that satisfy this equation, we can choose any two numbers that have the same ratio as $5$ . For simplicity, let's choose $x =5$ and $y =$ .
$x =5, y =$ The solutions to the equations area) $q =7, v =8$ b) $x =5, y =$

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Question Find the fraction and ratio that complete the given equations. Express each answer in simplest form. a) q:v=7:8q: v=7: 8q:v=7:8 b) 5x=6y5x=6y5x=6y q=□v\boldsymbol{q}=\square \boldsymbol{v}q=□v x:y=x: y=x:y=

Studdy Solution

STEP 1

Assumptions1. For part a), the ratio q:vq:vq:v is given as 787878. We need to find the values of qqq and vvv that satisfy this ratio. . For part b), the equation 5x=6y5x =6y5x=6y is given. We need to find the ratio x:yx:yx:y in its simplest form.

STEP 2

For part a), we can write the ratio q:vq:vq:v as a fraction q/vq/vq/v. This fraction is equal to the fraction 7/87/87/8.qv=78\frac{q}{v} = \frac{7}{8}vq​=87​

STEP 3

To find the values of qqq and vvv that satisfy this equation, we can choose any two numbers that have the same ratio as 787878. For simplicity, let's choose q=7q =7q=7 and v=8v =8v=8.q=7,v=8q =7, v =8q=7,v=8

STEP 4

Now, let's move on to part b). We can write the equation x=6yx =6yx=6y as a ratio x:yx:yx:y.xy=6\frac{x}{y} = \frac{}{6}yx​=6​

STEP 5

To find the values of xxx and yyy that satisfy this equation, we can choose any two numbers that have the same ratio as 555. For simplicity, let's choose x=5x =5x=5 and y=y =y=.x=5,y=x =5, y =x=5,y=The solutions to the equations area) q=7,v=8q =7, v =8q=7,v=8 b) x=5,y=x =5, y =x=5,y=

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Question Find the fraction and ratio that complete the given equations. Express each answer in simplest form. a) $q: v=7: 8$ b) $5x=6y$ $\boldsymbol{q}=\square \boldsymbol{v}$ $x: y=$

Assumptions1. For part a), the ratio $q:v$ is given as $78$ . We need to find the values of $q$ and $v$ that satisfy this ratio. . For part b), the equation $5x =6y$ is given. We need to find the ratio $x:y$ in its simplest form.

For part a), we can write the ratio $q:v$ as a fraction $q/v$ . This fraction is equal to the fraction $7/8$ .
$\frac{q}{v} = \frac{7}{8}$

To find the values of $q$ and $v$ that satisfy this equation, we can choose any two numbers that have the same ratio as $78$ . For simplicity, let's choose $q =7$ and $v =8$ .
$q =7, v =8$

Now, let's move on to part b). We can write the equation $x =6y$ as a ratio $x:y$ .
$\frac{x}{y} = \frac{}{6}$

To find the values of $x$ and $y$ that satisfy this equation, we can choose any two numbers that have the same ratio as $5$ . For simplicity, let's choose $x =5$ and $y =$ .
$x =5, y =$ The solutions to the equations area) $q =7, v =8$ b) $x =5, y =$