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svet-max [94.6K]
3 years ago
9

Write the following proportion using colons. 7 is to 21 as 3 is to 9.

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0
The answer is 7:21 = 3:9.
Ksenya-84 [330]3 years ago
4 0

Answer:

Option A.

Step-by-step explanation:

There are two fraction given in this question and we have to write the proportion using colon.

Visually fractions \frac{7}{21} and \frac{3}{9} are different but when we simplify these fractions we get the actual relation between them.

We simplify \frac{7}{21} first.

By dividing from 7 in the numerator and denominator we get

\frac{\frac{7}{7}}{\frac{21}{7}}=\frac{1}{3}

similarly we simplify the fraction \frac{3}{9}

By dividing numerator and denominator by 3

\frac{\frac{3}{3} }{\frac{9}{3} }=\frac{1}{3}

Now we can say that both the fractions are equal.

\frac{7}{21}=\frac{3}{9}=\frac{1}{3}

So the ratio will be 7 : 21 = 3 : 9

Option A. will be the answer.

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Solve each system of equation by elimination<br> {y=-x+1<br> {y= 4x-14
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Answer:

(3, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
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  4. Multiplication
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  6. Addition
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Equality Properties

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -x + 1

y = 4x - 14

<u>Step 2: Rewrite Systems</u>

y = 4x - 14

  1. Multiply everything by -1:                    -y = -4x + 14

<u>Step 3: Redefine Systems</u>

y = -x + 1

-y = -4x + 14

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine equations:                    0 = -5x + 15
  2. Isolate <em>x</em> term:                               -15 = -5x
  3. Isolate <em>x</em>:                                       3 = x
  4. Rewrite:                                        x = 3

<u>Step 5: Check</u>

  1. Define equation:                    y = -x + 1
  2. Substitute in <em>x</em>:                       y = -3 + 1
  3. Add:                                        y = -2
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Step-by-step explanation:

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