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Korolek [52]
3 years ago
9

Use cross products to demonstrate whether the two ratios are equivalent in this problem: 4 over 6 times 14 over 21

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0
4/6 = 14/21 When using cross product always multiply the left fractions numerator times the right side fractions denominator and the left side fractions denominator times the right side fractions numerator 4×21 = 6×14 84=84 They are equivalent because they both equal 84
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The greater of two consecutive integers is seven less than one-third the smaller integer. Find the integers
ikadub [295]

Answer:

Step-by-step explanation:consecutive integers are represented by x, x+1 ,  so for this problem the greater one is represented by x + 1.

Now you need to translate the problem.  the greater is  seven less than 1/3 the smaller

--->  x + 1 = (1/3)*x - 7 --->  now solve for x (the smaller) and x+1  (the greater)

***hint:  to get rid of fractions in an equation you can always multiply EVERYTHING by the denominator , 3 in this case

8 0
3 years ago
Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 b
zvonat [6]
She could use anything, but it would have to consist of 3:12, so maybe like 3 flowers and 12 beads? As long as it is 3 and 12 of something, she is fine. 
3 0
3 years ago
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Write 108 as a product of primes.<br> Use index notation when giving your answer.
VashaNatasha [74]

Answer:

2^2 * 3^3

Step-by-step explanation:

108 = 2*2*3*3*3

= 2^2 * 3^3.

7 0
3 years ago
Read 2 more answers
-98 = 7t<br> What does t equal
pentagon [3]

Answer:

t = -14

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

-98 = 7t

<u>Step 2: Solve for </u><em><u>t</u></em>

  1. Divide 7 on both sides:                    -14 = t
  2. Rewrite:                                             t = -14

<u>Step 3: Check</u>

<em>Plug in t into the original equation to verify it's a solution.</em>

  1. Substitute in <em>t</em>:                     -98 = 7(-14)
  2. Multiply:                               -98 = -98

Here we see that -98 is equal to -98.

∴ t = -14 is the solution to the equation.

8 0
3 years ago
Read 2 more answers
What is |-9| i need help
OlgaM077 [116]

Answer:

9

Step-by-step explanation:

absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5

6 0
2 years ago
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