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Lelechka [254]
3 years ago
14

One number is 9 more than 3 times another. If their difference is 29, what is the larger number?

Mathematics
2 answers:
vfiekz [6]3 years ago
6 0

Answer:

39

Step-by-step explanation:

x-3y=9

x-y=29

subtract

-2y=-20

y=10

x-10=29

x=39

hodyreva [135]3 years ago
3 0

Answer:

<h2>39</h2>

Step-by-step explanation:

x,y-\text{numbers}\\\\\text{One number is 9 more than 3 times another:}\ x=3y+9\\\text{Their difference is equal to 29:}\ x-y=29\\\\\text{We have the system of equations}\\\\\left\{\begin{array}{ccc}x=3y+9&(1)\\x-y=29&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\(3y+9)-y=29\\3y+9-y=29\qquad\text{subtract 9 fro both sides}\\3y-y+9-9=29-9\qquad\text{combine like terms}\\2y=20\qquad\text{divide both sides by 2}\\\dfrac{2y}{2}=\dfrac{20}{2}\\y=10\\\\\text{Put it to (1):}\\x=3(10)+9\\x=30+9\\x=39

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C Betty rearranged the movies on her shelving unit after a few days. She placed equal numbers of movies on the bottom 3 shelves,
mixas84 [53]

There are total 53 movies on the shelving unit

Step-by-step explanation:

<u>DATA</u>

Equal movies on the bottom 3 shelves: 3x

10 movies on each of the top 2 shelves = 2*10 = 20

<u>Equation:</u>

3x + 20

<u>Question:</u>

Number of movies on the shelving unit if 11 movies are on each bottom 3 shelves: x = 11

<u>Solution:</u>

3x + 20

3(11) + 20 = 33 + 20 = 53

Therefore, there are total 53 movies on the shelving unit; 20 on the top 2 shelves and 33 on the bottom 3 shelves altogether.

Keywords: equation

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5 0
3 years ago
Add the numerator and denominator seperatly, then find the quotient <br> -3( - 8) / 5 + 7
Aleonysh [2.5K]

Numerator = -3( - 8)  = - 3 - 8 = -11

Denominator = 5 + 7 = 12

So the quotient = -11/12

Answer

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4 0
2 years ago
What is the rule of -3,18,-108,—,—,—
lisabon 2012 [21]

Hi! ❄

   - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The rule for this sequence is 'multiply by -6'.

Verification ↓

-3*(-6)\stackrel\checkmark{=}18

18*(-6)\stackrel\checkmark{=}-108

So the rule for the sequence is 'multiply by -6'

And the Common ratio is -6.

Hope that made sense !!

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Step-by-step explanation:

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