Math / Algebra

Questionsolve proportions." ronfer with an elbow partner $\checkmark$ Review "Math Notes: Proportions (1" Onty)" (Spiral notebook $\downarrow$ Google Classroom) VWatch "Proportions (\#S Oniy)" YouTube videos (Google Classroom) $\checkmark$ Refer to enVisionmath 2.0 Textbook volume 2 (Pages 263-274)
Unit 3 Math Worksheet \#2 Solve for $x$ . Round answers to the hundredths place, if applicable.
1. $\frac{12}{16}=\frac{x}{20}$
2. $\frac{x}{12}=\frac{12}{8}$

Studdy Solution

STEP 1

1. We are dealing with proportions, which are equations that state two ratios are equal.
2. We will solve for $x$ using cross-multiplication.
3. Answers should be rounded to the hundredths place if necessary.

STEP 2

1. Solve the first proportion $\frac{12}{16}=\frac{x}{20}$ .
2. Solve the second proportion $\frac{x}{12}=\frac{12}{8}$ .

STEP 3

For the first proportion $\frac{12}{16}=\frac{x}{20}$ , use cross-multiplication to solve for $x$ .
$12 \times 20 = 16 \times x$
This simplifies to:
$240 = 16x$

STEP 4

Divide both sides by 16 to solve for $x$ :
$x = \frac{240}{16}$
Calculate the division:
$x = 15$

STEP 5

For the second proportion $\frac{x}{12}=\frac{12}{8}$ , use cross-multiplication to solve for $x$ .
$x \times 8 = 12 \times 12$
This simplifies to:
$8x = 144$

STEP 6

Divide both sides by 8 to solve for $x$ :
$x = \frac{144}{8}$
Calculate the division:
$x = 18$
The solutions are:
1. $x = 15$
2. $x = 18$

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Studdy Solution

STEP 1

1. We are dealing with proportions, which are equations that state two ratios are equal.
2. We will solve for $x$ using cross-multiplication.
3. Answers should be rounded to the hundredths place if necessary.

STEP 2

1. Solve the first proportion $\frac{12}{16}=\frac{x}{20}$ .
2. Solve the second proportion $\frac{x}{12}=\frac{12}{8}$ .

STEP 3

For the first proportion $\frac{12}{16}=\frac{x}{20}$ , use cross-multiplication to solve for $x$ .
$12 \times 20 = 16 \times x$
This simplifies to:
$240 = 16x$

STEP 4

Divide both sides by 16 to solve for $x$ :
$x = \frac{240}{16}$
Calculate the division:
$x = 15$

STEP 5

For the second proportion $\frac{x}{12}=\frac{12}{8}$ , use cross-multiplication to solve for $x$ .
$x \times 8 = 12 \times 12$
This simplifies to:
$8x = 144$

STEP 6

Divide both sides by 8 to solve for $x$ :
$x = \frac{144}{8}$
Calculate the division:
$x = 18$
The solutions are:
1. $x = 15$
2. $x = 18$

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Studdy Solution

STEP 1

1. We are dealing with proportions, which are equations that state two ratios are equal.2. We will solve for x x x using cross-multiplication.3. Answers should be rounded to the hundredths place if necessary.

STEP 2

1. Solve the first proportion 1216=x20\frac{12}{16}=\frac{x}{20}1612​=20x​.2. Solve the second proportion x12=128\frac{x}{12}=\frac{12}{8}12x​=812​.

STEP 3

For the first proportion 1216=x20\frac{12}{16}=\frac{x}{20}1612​=20x​, use cross-multiplication to solve for x x x.12×20=16×x 12 \times 20 = 16 \times x 12×20=16×xThis simplifies to:240=16x 240 = 16x 240=16x

STEP 4

Divide both sides by 16 to solve for x x x:x=24016 x = \frac{240}{16} x=16240​Calculate the division:x=15 x = 15 x=15

STEP 5

For the second proportion x12=128\frac{x}{12}=\frac{12}{8}12x​=812​, use cross-multiplication to solve for x x x.x×8=12×12 x \times 8 = 12 \times 12 x×8=12×12This simplifies to:8x=144 8x = 144 8x=144

STEP 6

Divide both sides by 8 to solve for x x x:x=1448 x = \frac{144}{8} x=8144​Calculate the division:x=18 x = 18 x=18 The solutions are:1. x=15 x = 15 x=152. x=18 x = 18 x=18

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. We are dealing with proportions, which are equations that state two ratios are equal.
2. We will solve for $x$ using cross-multiplication.
3. Answers should be rounded to the hundredths place if necessary.

1. Solve the first proportion $\frac{12}{16}=\frac{x}{20}$ .
2. Solve the second proportion $\frac{x}{12}=\frac{12}{8}$ .

For the first proportion $\frac{12}{16}=\frac{x}{20}$ , use cross-multiplication to solve for $x$ .
$12 \times 20 = 16 \times x$
This simplifies to:
$240 = 16x$

Divide both sides by 16 to solve for $x$ :
$x = \frac{240}{16}$
Calculate the division:
$x = 15$

For the second proportion $\frac{x}{12}=\frac{12}{8}$ , use cross-multiplication to solve for $x$ .
$x \times 8 = 12 \times 12$
This simplifies to:
$8x = 144$

Divide both sides by 8 to solve for $x$ :
$x = \frac{144}{8}$
Calculate the division:
$x = 18$
The solutions are:
1. $x = 15$
2. $x = 18$